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Explain social research, with its main features as objectives and different stages? 
Answer: Research is a careful investigation or inquiry especially through search for new 
facts in any branch of knowledge. According to Redman and Mary research is a 
systematized effort to gain new knowledge. According to D.Sleshinger and M.Stemson 
has defined research as the manipulation of things, concepts or symbols for the purpose 
of generalizing to extend, correct or verify knowledge, heather that knowledge aids in 
construction of theory or in the practice of an art. Social research is a scientific 
undertaking which by means of logical and systematized techniques, aims to discover 
new factory verify a test old facts, analyze their sequence interrelationship and casual 
explanation which were derived within an appropriate theoretical frame of reference, 
develop new scientific tools, concepts and theories which would facilities reliable and 
valid study of human behavior. According to PV young social research the systematic 
method of discovering news facts or verifying old facts, their sequences, inter-relationships, 
casual explanation and the natural laws which governs them. Prof C.A 
Mosr defines social research as “systematized investigation to give new knowledge about 
social phenomena and surveys”. Rummel defined social research as it is devoted to a 
“study of mankind in his social environment and is concerned with improving his 
understanding of social orders, groups, institutes and ethics”. Mary Stevenson defined 
social research as “social research is a systematic methods of exploring, analyzing and 
conceptualizing social life in order to extend ,correct or verify knowledge, whether that 
knowledge aid in the construction of a theory or in the practice of an art. 
The characteristic features of social research: 
Social research is scientific approach of adding to the knowledge about society and social 
phenomenon. Knowledge to be meaningful should have a definite purpose and direction. 
The growth of knowledge is closely linked to the methods and approaches used in 
research investigation. Hence the social science research must be guided by certain laid 
down objectives enumerated below 
Development knowledge 
The main object of any research is to add to the knowledge. As we have seen earlier, 
research is a process to obtain knowledge. Similarly social research is an organized and 
scientific effort to acquire further knowledge about the problem in question. Thus social 
science helps us to obtain and add to the knowledge of social phenomena. This one of the 
important objective of social research. 
Scientific study of social research: 
Social research is an attempt to acquire knowledge about the social phenomena. Man 
being the part of a society, social research studies human being as an individual, human 
behavior and collects data about various aspects of the social life of man and formulates 
law in this regards. Once the law is formulated then the scientific study tries to establish 
the interrelationship between these facts. Thus, the scientific study of social life is the 
base of the sociological development which is considered as second best objective of 
social research. Welfare of humanity: The ultimate objective of the social science study if 
often and always to enhance the welfare of humanity. No scientific research makes only 
for the sake of study. The welfare of humanity is the most common objective in social 
science research. 
Classification of facts:
According to Prov P.V.Young, social research aims to clarify facts. The classification of 
facts plays important role in any scientific research. Social control and prediction: The 
ultimate object of many research undertaking is to make it possible, to redirect the 
behavior of particular type of individual under the specified conditions. In social research 
we generally study of the social phenomena, event and factors that govern and guide 
them. a) Social research deals with phenomena. It studies the human behavior. b) It 
discovers new facts and verifies old facts. With the improvement in the technique and 
changes in the phenomena the researcher has to study the. c) Casual relationship between 
various human activities can also be studies in social research. For the sake of systematic 
presentation, the process of research may be classifies under three stages 
Primary stage 
Secondary stage 
Tertiary stage 
The primary stage includes 
Observation 
Interest 
Crystallization, identification and statement of a research problem 
Formulation of hypothesis 
Primary synopsis 
Conceptual clarity 
Documentation 
Preparation of bibliography and 
Research design 
The secondary stage includes 
Project planning 
Project formulation 
Questionnaire preparation 
Investigation and data collection 
Preparation of final synopsis 
Compilation of data 
Classification 
Tabulation and presentation of data 
Experimentation 
Analysis 
Testing of hypothesis and 
Interpretation 
The tertiary stage includes 
Report writing 
Observation, suggestions and conclusions.
Give the significance of social research also mention the different problems of social 
research and how they are solved? 
within the last 20 to 25 years, courses in methods of social research have come to occupy 
an increasingly important role in sociological curricula. It likely that at present every 
major university offers such courses. This is because growing significance of social 
research and also growing job opportunities in this field. The market analysis, the public 
opinion expert, the investigator of communication and propaganda all are growing facts 
for governmental and business needs. Knowledge of social research is useful for 
interpreting and weighing such reports. In this present age, social science are accruing a 
scientific method of study for this method, research is an important factor. In the last two 
or three decades, a social research has become an important subject of the curriculum of 
sociology. In fact almost all the universities, where sociology is taught, social research is 
a apart of the curriculum of the sociology. Social research has therefore, assumed greater 
importance. Apart from thus, the social science research is essential for proper 
understanding the society and proper collection and analysis of social facts. The social 
research is an effective method. Research laboratory techniques are helping in finding 
further knowledge, about the subject. Through research only it has been possible to make 
progress and reach further. It is part of man’s nature. The importance saying goes, 
necessity is the mother of invention and invention is the result if research. So long as 
necessity exists the research shall be these social science and particularly sociology has 
come occupy an importance place for us. In fact, research is an organized effort to 
acquire new knowledge. It is based on the past experience and past knowledge. The 
richer the past knowledge, greater the surely of the results. In science sociology is 
assuming a scientific base, research has become a part of study, it is not an easy task to 
predict social behavior because of human nature is ever changing. Problems of scientific 
social research In fact social research deals with social phenomena which are quite 
different than natural phenomena. Hence there are fundamental difference between 
research in social science and that of physical or natural science. Let us study main 
difficulities faced by the researcher in the application so scientific methods in social 
research. Complexity of social data It is a well known that social science studies the 
human behavior which depends on several factor such as physical, social, 
temperamental ,psychological, geographical, biological social cultural etc. because of 
these factors a researcher is generally confused. It is therefore said that because of this 
complexity of social fata human beings cannot be put to scientific test. 
Problems of concepts: 
In social science research, one has to face number of problems among which of a) 
Abstraction b) Faculty reasoning Plays major role in formulating and defining the 
concepts and laws. 
Problems in interpreting relationship between cause and effects: In social science 
research, we generally find interdependent relationship between cause and effect. The 
cause and effect are one and the same, for example, in underdevelopment countries, the 
economics development cannot be accelerated due to lack of technical know how and 
capital cannot be obtained due to underdevelopment of the country. 
Dynamic nature of social phenomena
Man is a social animal and human society undergoes constant change. What is true today 
may not be useful tomorrow. The techniques used in past may prove useless for present 
ad future studies. On a account of this dynamic nature of social phenomena our task of 
analyzing data becomes very much complicated and the interferences drawn may be 
misleading. Problems of maintaining objectivity The problem of impartiality in part of 
problem of objectivity. It is generally argued that the social scientific are less objective 
than natural scientific because their own interest affected by the finding of their studies, 
hence leading to prejudice and bias. 
Unpredictability 
Predictability is one of the most important characteristics of science. In case of physical 
science, high degree of predictability is possible but it is not so in case of social data. but 
this statement is also partially true, the social scientist can roughly estimate the behavior 
of the group. Difficulty in the verification of the inferences: In social research, the events 
of social science are non repetitive and the social science are ill-equipped with their tools 
to verify inferences. Difficulty in the use of experimental method. In case of social 
science research its product being a human being cannot be put to laboratory test. Even if 
it is done, their responses wouldn’t be natural but subject to the awareness of the artificial 
condition. Thus social scientist has to watch them in wide world. Difficulty in the use of 
experimental method. In case of social science research, its product being a human being 
cannot be put to lab test. Even if it is done, their responses wouldn’t natural but subject to 
the awareness of the artificial condition. Thus the social scientist has to watch them in the 
wide world. Incapability of being dealt through empirical method: An empirical method 
cannot be applied in case of social science research as repeated experiment is not possible 
,for example, the problem of unbiased sampling selection of data etc. 
Problem of inter-disciplinary research 
Social science being, inter-disciplinary one i.e related with, economics, political science 
and sociology, we cannot draw water-tight compartments for each other social science. 
Paucity of funds: 
In case of social science research, we generally observed that small amount if finance is 
made available to them, it is not sufficient to conduct research effectively. 
Less resources: 
Prof Mitchell has rightly pointed out that social science researcher require less resources 
in comparing to physical science. 
briefly explain the various primary stages of research process. 
Research is a source which can be draw upon to make a substantial contribution to the 
body of the knowledge; research should be followed by some sort of original 
contribution. The primary stage includes 
Observation: 
Research start with observation, which leads to curiosity to learn more about what has 
been observed. Observation can either be unaided visual observation or guided and 
controlled observation. Sometimes a casual or associated observation leading to 
substantial research and a great invention. Deliberate and guided observation can also 
form the basis for research. While observation leads to research, research results in 
elaborate observation and convulsions; or even further research observation can either be
subjective or objective. These are participant observation, on –participant observation, 
controlled observation and non controlled observation. 
Interest: 
The observation of certain occurrences creates an interest and inquisitiveness in the mind 
of the researcher to study it further. This is the basis of interest to study the subject matter 
of observation. It may be self interest or group interest. The interest is the guiding force 
behind any research. 
Crystallization, Crystallization is the process of designing the definite form of Research 
to be undertaken for the purpose of studying the subject matter. It is the formulation of 
the research project, a defining its objectives, rationale, scope, methodology, limitations, 
including financial commitments and sources. It is at this stage that the research project is 
given a concrete shape and structure, forming a basis of further investigation. 
Formulation of hypothesis 
At this stage the hypothesis is formed on the basis of observation. Hypothesis is apart of 
the scientific method, and has been dealt with in detail in the chapter on “scientific 
method and hypothesis” 
Primary synopsis 
Synopsis is a summary /outline/brief of any subject. It is not a complete subject still 
formalization of a subject/replica of a subject. It saves time. It will give an idea of time 
required for presentation of the main subject. Once the subject is decided you can arrange 
titles likes like main headings, paragraph heading-elaborate the paragraph with important 
of main issues. 
Conceptual clarity 
Any researcher should have in-depth background knowledge of the topic of his study. He 
can gain such basic knowledge only be an extensive reading of text books, specialized 
books and publications on the topic in addition to articles and research papers published 
in journals and periodicals, reports of the past studies, etc. he can also gain knowledge by 
details discussion with the people concerned and by his own observation. However it is 
imperative for a researcher to gain a deep knowledge form any reliable source prior to 
actually plunging himself into a research, so theta he may have clear knowledge of the 
concepts which would be of value to him in his task. 
Documentation 
The documentary sources are important sources of information for a researcher. A 
document is anything in writing – a record, files or diaries, published or unpublished-which 
can be extracted and used in research. It is very valuable source of information for 
research either in management or in social science. it may comprises office files, business 
and legal papers, biographies, official and unofficial records, letters, proceedings of any 
courts ,committees, societies, assemblies and parliaments, enactments, constitution, 
reports of surveys or research of commissions, official statistics, newspapers editorials, 
special articles, company news, cases or company directors reports etc. documentation is 
the process of collecting and extracting the documents which relevant research. 
Documents may be classified into 
1) Personal documents
2) Company documents 
3) Consultants report and published materials and 
4) Public documents 
Bibliography 
At the end of any research report a bibliography is generally added. This is the list of 
books publication, periodicals, journals, reports, etc which are used by researcher in the 
connection with the study. It is a description of books, their authorship, editions, 
publishers, year of publication, place of publication etc. in ordinary circumstance, a 
researcher reads, and makes notes form, many books and publications at the primary 
stage of researcher in order to gain conceptual clarity. He prepares a list of such 
publications are reports then and there, which helps him in the course of his research. 
Some mistakenly believe that a bibliography is merely a list of publication compiled at 
the end of report writing like an appendix. On the contrary a bibliography contains and is 
composed of the details of publications that the researcher has used in connection with 
his study. These facilities any further reference to the matter either by the researcher 
himself or anybody who goes through the researcher report. 
what is questionnaire- mention its characteristics and illustrate a sample questionnaire for 
any product you can choose 
Answer: Questionnaire is a method used for collecting data; a set of written questions 
which calls for responses on the part of the client; may be self-administered or group-administered. 
Questionnaires are an inexpensive way to gather data from a potentially 
large number of respondents. Often they are the only feasible way to reach a number of 
reviewers large enough to allow statistically analysis of the results. A well-designed 
questionnaire that is used effectively can gather information on both the overall 
performance of the test system as well as information on specific components of the 
system. If the questionnaire includes demographic questions on the participants, they can 
be used to correlate performance and satisfaction with the test system among different 
groups of users. It is important to remember that a questionnaire should be viewed as a 
multi-stage process beginning with definition of the aspects to be examined and ending 
with interpretation of the results. Every step needs to be designed carefully because the 
final results are only as good as the weakest link in the questionnaire process. Although 
questionnaires may be cheap to administer compared to other data collection methods, 
they are every bit as expensive in terms of design time and interpretation. The steps 
required to design and administer a questionnaire include: 
1. Defining the Objectives of the survey 
2. Determining the Sampling Group 
3. Writing the Questionnaire 
4. Administering the Questionnaire 
5. Interpretation of the Results 
This document will concentrate on how to formulate objectives and write the 
questionnaire. Before these steps are examined in detail, it is good to consider what 
questionnaires are good at measuring and when it is appropriate to use questionnaires. 
What can questionnaires measure? Questionnaires are quite flexible in what they can
measure, however they are not equally suited to measuring all types of data. We can 
classify data in two ways, Subjective vs. Objective and Quantitative vs. Qualitative. 
When a questionnaire is administered, the researchers control over the environment will 
be somewhat limited. This is why questionnaires are inexpensive to administer. This loss 
of control means the validity of the results are more reliant on the honesty of the 
respondent. Consequently, it is more difficult to claim complete objectivity with 
questionnaire data then with results of a tightly controlled lab test. For example, if a 
group of participants are asked on a questionnaire how long it took them to learn a 
particular function on a piece of software, it is likely that they will be biased towards 
themselves and answer, on average, with a lower than actual time. A more objective 
usability test of the same function with a similar group of participants may return a 
significantly higher learning time. More elaborate questionnaire design or administration 
may provide slightly better objective data, but the cost of such a questionnaire can be 
much higher and offset their economic advantage. In general, questionnaires are better 
suited to gathering reliable subjective measures, such as user satisfaction, of the system 
or interface in question. Questions may be designed to gather either qualitative or 
quantitative data. By their very nature, quantitative questions are more exact then 
qualitative. For example, the word "easy" and "difficult" can mean radically different 
things to different people. Any question must be carefully crafted, but in particular 
questions that assess a qualitative measure must be phrased to avoid ambiguity. 
Qualitative questions may also require more thought on the part of the participant and 
may cause them to become bored with the questionnaire sooner. In general, we can say 
that questionnaires can measure both qualitative and quantitative data well, but that 
qualitative questions require more care in design, administration, and interpretation. 
When to use a questionnaire? 
There is no all encompassing rule for when to use a questionnaire. The choice will be 
made based on a variety of factors including the type of information to be gathered and 
the available resources for the experiment. A questionnaire should be considered in the 
following circumstances. 
a. When resources and money are limited. A Questionnaire can be quite inexpensive to 
administer. Although preparation may be costly, any data collection scheme will have 
similar preparation expenses. The administration cost per person of a questionnaire can 
be as low as postage and a few photocopies. Time is also an important resource that 
questionnaires can maximize. If a questionnaire is self-administering, such as a e-mail 
questionnaire, potentially several thousand people could respond in a few days. It would 
be impossible to get a similar number of usability tests completed in the same short time. 
b. When it is necessary to protect the privacy of the participants. Questionnaires are easy 
to administer confidentially. Often confidentiality is the necessary to ensure participants 
will respond honestly if at all. Examples of such cases would include studies that need to 
ask embarrassing questions about private or personal behavior. 
c. When corroborating other findings. In studies that have resources to pursue other data 
collection strategies, questionnaires can be a useful confirmation tools. More costly 
schemes may turn up interesting trends, but occasionally there will not be resources to 
run these other tests on large enough participant groups to make the results statistically 
significant. A follow-up large scale questionnaire may be necessary to corroborate these 
earlier results
Characteristics of a Good Questionnaire 
• Questions worded simply and clearly, not ambiguous or vague, must be objective 
• Attractive in appearance (questions spaced out, and neatly arranged) 
• Write a descriptive title for the questionnaire 
• Write an introduction to the questionnaire 
• Order questions in logical sequence 
• Keep questionnaire uncluttered and easy to complete 
• Delicate questions last (especially demographic questions) 
• Design for easy tabulation 
• Design to achieve objectives 
• Define terms 
• Avoid double negatives (I haven't no money) 
• Avoid double barreled questions (this AND that) 
• Avoid loaded questions ("Have you stopped beating your wife?") 
Explain the various measure of central tendency? 
In statistics, the general level, characteristic, or typical value that is representative of the 
majority of cases. Among several accepted measures of central tendency employed in 
data reduction, the most common are the arithmetic mean (simple average), the median, 
and the mode. FOR EXAMPLE, one measure of central tendency of a group of high 
school students is the average (mean) age of the students. Central tendency is a term used 
in some fields of empirical research to refer to what statisticians sometimes call 
"location". A "measure of central tendency" is either a location parameter or a statistic 
used to estimate a location parameter. Examples include: #Arithmetic mean, the sum of 
all data divided by the number of observations in the data set.#Median, the value that 
separates the higher half from the lower half of the data set.#Mode, the most frequent 
value in the data set. Measures of central tendency, or "location", attempt to quantify 
what we mean when we think of as the "typical" or "average" score in a data set. The 
concept is extremely important and we encounter it frequently in daily life. For example, 
we often want to know before purchasing a car its average distance per litre of petrol. Or 
before accepting a job, you might want to know what a typical salary is for people in that 
position so you will know whether or not you are going to be paid what you are worth. 
Or, if you are a smoker, you might often think about how many cigarettes you smoke "on 
average" per day. Statistics geared toward measuring central tendency all focus on this 
concept of "typical" or "average." As we will see, we often ask questions in 
psychological science revolving around how groups differ from each other "on average". 
Answers to such a question tell us a lot about the phenomenon or process we are studying 
Arithmetic Mean The arithmetic mean is the most common measure of central tendency. 
It simply the sum of the numbers divided by the number of numbers. The symbol mm is 
used for the mean of a population. The symbol MM is used for the mean of a sample. The 
formula for mm is shown below: m=SXN m S X N where SX S X is the sum of all the 
numbers in the numbers in the sample and NN is the number of numbers in the sample. 
As an example, the mean of the numbers 1+2+3+6+8=205=4 1 2 3 6 8 20 5 4 regardless 
of whether the numbers constitute the entire population or just a sample from the
population. The table, Number of touchdown passes, shows the number of touchdown 
(TD) passes thrown by each of the 31 teams in the National Football League in the 2000 
season. The mean number of touchdown passes thrown is 20.4516 as shown below. 
m=SXN=63431=20.4516 m S X N 634 31 20.4516 Number of touchdown passes 
37 33 33 32 29 28 28 23 
22 22 22 21 21 21 20 20 
19 19 18 18 18 18 16 15 
14 14 14 12 12 9 6 
Although the arithmetic mean is not the only "mean" (there is also a geometic mean), it is 
by far the most commonly used. Therefore, if the term "mean" is used without specifying 
whether it is the arithmetic mean, the geometic mean, or some other mean, it is assumed 
to refer to the arithmetic mean. Median The median is also a frequently used measure of 
central tendency. The median is the midpoint of a distribution: the same number of scores 
are above the median as below it. For the data in the table, Number of touchdown passes, 
there are 31 scores. The 16th highest score (which equals 20) is the median because there 
are 15 scores below the 16th score and 15 scores above the 16th score. The median can 
also be thought of as the 50th percentile. Let's return to the made up example of the quiz 
on which you made a three discussed previously in the module Introduction to Central 
Tendency and shown in table 2. Three possible datasets for the 5-point make-up quiz 
Student Dataset 1 Dataset 2 Dataset 3 
You 3 3 3 
John's 3 4 2 
Maria's 3 4 2 
Shareecia's 3 4 2 
Luther's 3 5 1 
For Dataset 1, the median is three, the same as your score. For Dataset 2, the median is 4. 
Therefore, your score is below the median. This means you are in the lower half of the 
class. Finally for Dataset 3, the median is 2. For this dataset, your score is above the 
median and therefore in the upper half of the distribution. Computation of the Median: 
When there is an odd number of numbers, the median is simply the middle number. For 
example, the median of 2, 4, and 7 is 4. When there is an even number of numbers, the 
median is the mean of the two middle numbers. Thus, the median of the numbers 22, 44, 
77, 1212 is 4+72=5.5 4 7 2 5.5 . mode The mode is the most frequently occuring value. 
For the data in the table, Number of touchdown passes, the mode is 18 since more teams 
(4) had 18 touchdown passes than any other number of touchdown passes. With 
continuous data such as response time measured to many decimals, the frequency of each 
value is one since no two scores will be exactly the same (see discussion of continuous 
variables). Therefore the mode of continuous data is normally computed from a grouped 
frequency distribution. The Grouped frequency distribution table shows a grouped 
frequency distribution for the target response time data. Since the interval with the 
highest frequency is 600-700, the mode is the middle of that interval (650). Grouped 
frequency distribution
Range Frequency 
500-600 3 
600-700 6 
700-800 5 
800-900 5 
900-1000 0 
1000-1100 1 
Trimean 
The trimean is computed by adding the 25th percentile plus twice the 50th percentile plus 
the 75th percentile and dividing by four. What follows is an example of how to compute 
the trimean. The 25th, 50th, and 75th percentile of the dataset "Example 1" are 51, 55, 
and 63 respectively. Therefore, the trimean is computed as: 
The trimean is almost as resistant to extreme scores as the median and is less subject to 
sampling fluctuations than the arithmetic mean in extremely skewed distributions. It is 
less efficient than the mean for normal distributions. . The trimean is a good measure of 
central tendency and is probably not used as much as it should be. 
Trimmed Mean 
A trimmed mean is calculated by discarding a certain percentage of the lowest and the 
highest scores and then computing the mean of the remaining scores. For example, a 
mean trimmed 50% is computed by discarding the lower and higher 25% of the scores 
and taking the mean of the remaining scores. The median is the mean trimmed 100% and 
the arithmetic mean is the mean trimmed 0%. A trimmed mean is obviously less 
susceptible to the effects of extreme scores than is the arithmetic mean. It is therefore less 
susceptible to sampling fluctuation than the mean for extremely skewed distributions. It 
is less efficient than the mean for normal distributions. Trimmed means are often used in 
Olympic scoring to minimize the effects of extreme ratings possibly caused by biased 
judges. 
Which are various measure of dispersion, explain each of them? 
Answer: In many ways, measures of central tendency are less useful in statistical analysis 
than measures of dispersion of values around the central tendency The dispersion of 
values within variables is especially important in social and political research because: 
• Dispersion or "variation" in observations is what we seek to explain. 
• Researchers want to know WHY some cases lie above average and others below 
Average for a given variable: 
o TURNOUT in voting: why do some states show higher rates than others? 
o CRIMES in cities: why are there differences in crime rates? 
o CIVIL STRIFE among countries: what accounts for differing amounts? 
• Much of statistical explanation aims at explaining DIFFERENCES in observations -- 
also known as 
o VARIATION, or the more technical term, VARIANCE 
If everything were the same, we would have no need of statistics. But, people's heights, 
ages, etc., do vary. We often need to measure the extent to which scores in a dataset
differ from each other. Such a measure is called the dispersion of a distribution Some 
measure of dispersion are 
1) Range The range is the simplest measure of dispersion. The range can be thought of in 
two ways 
. 1. As a quantity: the difference between the highest and lowest scores in a distribution. 
"The range of scores on the exam was 32." 
2. As an interval; the lowest and highest scores may be reported as the range. "The range 
was 62 to 94," which would be written (62, 94). 
The Range of a Distribution 
Find the range in the following sets of data: 
NUMBER OF BROTHERS AND SISTERS 
{ 2, 3, 1, 1, 0, 5, 3, 1, 2, 7, 4, 0, 2, 1, 2, 
1, 6, 3, 2, 0, 0, 7, 4, 2, 1, 1, 2, 1, 3, 5, 12, 
4, 2, 0, 5, 3, 0, 2, 2, 1, 1, 8, 2, 1, 2 } 
An outlier is an extreme score, i.e., an infrequently occurring score at either tail of the 
distribution. Range is determined by the furthest outliers at either end of the distribution. 
Range is of limited use as a measure of dispersion, because it reflects information about 
extreme values but not necessarily about "typical" values. Only when the range is 
"narrow" (meaning that there are no outliers) does it tell us about typical values in the 
data. 
2) Percentile range 
Most students are familiar with the grading scale in which "C" is assigned to average 
scores, "B" to above-average scores, and so forth. When grading exams "on a curve," 
instructors look to see how a particular score compares to the other scores. The letter 
grade given to an exam score is determined not by its relationship to just the high and low 
scores, but by its relative position among all the scores. Percentile describes the relative 
location of points anywhere along the range of a distribution. A score that is at a certain 
percentile falls even with or above that percent of scores. The median score of a 
distribution is at the 50th percentile: It is the score at which 50% of other scores are 
below (or equal) and 50% are above. Commonly used percentile measures are named in 
terms of how they divide distributions. Quartiles divide scores into fourths, so that a score 
falling in the first quartile lies within the lowest 25% of scores, while a score in the fourth 
quartile is higher than at least 75% of the scores. Quartile Finder 
The divisions you have just performed illustrate quartile scores. Two other percentile 
scores commonly used to describe the dispersion in a distribution are decile and quintile 
scores which divide cases into equal sized subsets of tenths (10%) and fifths (20%), 
respectively. In theory, percentile scores divide a distribution into 100 equal sized groups. 
In practice this may not be possible because the number of cases may be under 100. A 
box plot is an effective visual representation of both central tendency and dispersion. It 
simultaneously shows the 25th, 50th (median), and 75th percentile scores, along with the 
minimum and maximum scores. The "box" of the box plot shows the middle or "most 
typical" 50% of the values, while the "whiskers" of the box plot show the more extreme 
values. The length of the whiskers indicate visually how extreme the outliers are. Below 
is the box plot for the distribution you just separated into quartiles. The boundaries of the
box plot's "box" line up with the columns for the quartile scores on the histogram. The 
box plot displays the median score and shows the range of the distribution as well. 
By far the most commonly used measures of dispersion in the social sciences are 
Variance and standard deviation. 
Variance is the average squared difference of scores from the mean score of a 
distribution. Standard deviation is the square root of the variance. In calculating the 
variance of data points, we square the difference between each point and the mean 
because if we summed the differences directly, the result would always be zero. For 
example, suppose three friends work on campus and earn $5.50, $7.50, and $8 per hour, 
respectively. The mean of these values is $(5.50 + 7.50 + 8)/3 = $7 per hour. If we 
summed the differences of the mean from each wage, we would get (5.50-7) + (7.50-7) + 
(8-7) = -1.50 + .50 + 1 = 0. Instead, we square the terms to obtain a variance equal to 2.25 
+ .25 + 1 = 3.50. This figure is a measure of dispersion in the set of scores. The variance 
is the minimum sum of squared differences of each score from any number. In other 
words, if we used any number other than the mean as the value from which each score is 
subtracted, the resulting sum of squared differences would be greater. (You can try it 
yourself -- see if any number other than 7 can be plugged into the preceeding calculation 
and yield a sum of squared differences less than 3.50.) The standard deviation is simply 
the square root of the variance. In some sense, taking the square root of the variance 
"undoes" the squaring of the differences that we did when we calculated the variance. 
Variance and standard deviation of a population are designated by and , respectively. 
Variance and standard deviation of a sample are designated by s2 and s, respectively. 
4) Standard Deviation 
The standard deviation ( or s) and variance ( or s2) are more complete measures of 
dispersion which take into account every score in a distribution. The other measures of 
dispersion we have discussed are based on considerably less information. However, 
because variance relies on the squared differences of scores from the mean, a single 
outlier has greater impact on the size of the variance than does a single score near the 
mean. Some statisticians view this property as a shortcoming of variance as a measure of 
dispersion, especially when there is reason to doubt the reliability of some of the extreme 
scores. For example, a researcher might believe that a person who reports watching 
television an average of 24 hours per day may have misunderstood the question. Just one 
such extreme score might result in an appreciably larger standard deviation, especially if 
the sample is small. Fortunately, since all scores are used in the calculation of variance, 
the many non-extreme scores (those closer to the mean) will tend to offset the misleading 
impact of any extreme scores. The standard deviation and variance are the most 
commonly used measures of dispersion in the social sciences because: • Both take into 
account the precise difference between each score and the mean. Consequently, these 
measures are based on a maximum amount of information. 
• The standard deviation is the baseline for defining the concept of standardized score or 
"z-score". 
• Variance in a set of scores on some dependent variable is a baseline for measuring the 
correlation between two or more variables (the degree to which they are related). 
Standardized Distribution Scores, or "Z-Scores" 
Actual scores from a distribution are commonly known as a "raw scores." These are 
expressed in terms of empirical units like dollars, years, tons, etc. We might say "The
Smith family's income is $29,418." To compare a raw score to the mean, we might say 
something like "The mean household income in the U.S. is $2,232 above the Smith 
family's income." This difference is an absolute deviation of 2,232 emirical units (dollars, 
in this example) from the mean. When we are given an absolute deviation from the mean, 
expressed in terms of empirical units, it is difficult to tell if the difference is "large" or 
"small" compared to other members of the data set. In the above example, are there many 
families that make less money than the Smith family, or only a few? We were not given 
enough information to decide. We get more information about deviation from the mean 
when we use the standard deviation measure presented earlier in this tutorial. Raw scores 
expressed in empirical units can be converted to "standardized" scores, called z-scores. 
The z-score is a measure of how many units of standard deviation the raw score is from 
the mean. Thus, the z-score is a relative measure instead of an absolute measure. This is 
because every individual in the dataset affects value for the standard deviation. Raw 
scores are converted to standardized z-scores by the following equations: Population z-score 
Sample z-score where is the population mean, is the sample mean, is the population 
standard deviation, s is the sample standard deviation, and x is the raw score being 
converted. For example, if the mean of a sample of I.Q. scores is 100 and the standard 
deviation is 15, then an I.Q. of 128 would correspond to: 
= (128 - 100) / 15 = 1.87 
For the same distribution, a score of 90 would correspond to: 
z = (90 - 100) / 15 = - 0.67 
A positive z-score indicates that the corresponding raw score is above the mean. A 
negative z-score represents a raw score that is below the mean. A raw score equal to the 
mean has a z-score of zero (it is zero standard deviations away). Z-scores allow for 
control across different units of measure. For example, an income that is 25,000 units 
above the mean might sound very high for someone accustomed to thinking in terms of 
U.S. dollars, but if the unit is much smaller (such as Italian Lires or Greek Drachmas), the 
raw score might be only slightly above average. Z-scores provide a standardized 
description of departures from the mean that control for differences in size of empirical 
units. When a dataset conforms to a "normal" distribution, each z-score corresponds 
exactly to known, specific percentile score. If a researcher can assume that a given 
empirical distribution approximates the normal distribution, then he or she can assume 
that the data's z-scores approximate the z-scores of the normal distribution as well. In this 
case, z-scores can map the raw scores to their percentile scores in the data. As an 
example, suppose the mean of a set of incomes is $60,200, the standard deviation is 
$5,500, and the distribution of the data values approximates the normal distribution. Then 
an income of $69,275 is calculated to have a z-score of 1.65. For a normal distribution, a 
z-score of 1.65 always corresponds to the 95th percentile. Thus, we can assume that 
$69,275 is the 95th percentile score in the empirical data, meaning that 95% of the scores 
lie at or below $69,275. The normal distribution is a precisly defined, theoretical 
distribution. Empirical distributions are not likely to conform perfectly to the normal 
distribution. If the data distribution is unlike the normal distribution, then z-scores do not 
translate to percentiles in the "normal" way. However, to the extent that an empirical 
distribution approximates the normal distribution, z-scores do translate to percentiles in a 
reliable way.
define hypothesis-what are the nature, scope and testing of hypothesis? 
Answer: A tentative proposal made to explain certain observations or facts that requires 
further investigation to be verified. A hypothesis is a formulation of a question that lends 
itself to a prediction. This prediction can be verified or falsified. A question can only be 
use as scientific hypothesis, if their is an experimental approach or observational study 
that can be designed to check the outcome of a prediction. 
Nature of hypothesis 
N the various discussions of the hypothesis which have appeared in works on inductive 
logic and in writings on scientific method, its structure and function have received 
considerable attention, while its origin has been comparatively neglected. The hypothesis 
has generally been treated as that part of scientific procedure which marks the stage 
where a definite plan or method is proposed for dealing with new or unexplained facts. It 
is regarded as an invention for the purpose of explaining the given, as a definite 
conjecture which is to be tested by an appeal to experience to see whether deductions 
made in accordance with it will be found true in fact. The function of the hypothesis is to 
unify, to furnish a method of dealing with things, and its structure must be suitable to this 
end. It must be so formed that it will be likely to prove valid, and writers have formulated 
various rules to be followed in the formation of hypotheses. These rules state the main 
requirements of a good hypothesis, and are intended to aid in a general way by pointing 
out certain limits within which it must fall. 
In respect to the origin of the hypothesis, writers have usually contented themselves with 
pointing out the kind of situations in which hypotheses are likely to appear. But after this 
has been done, after favorable external conditions have been given, the rest must be left 
to "genius," for hypotheses arise as "happy guesses," for which no rule or law can be 
given. In fact, the genius differs from the ordinary plodding mortal in just this ability to 
form fruitful 
Hypotheses in the midst of the same facts which to other less gifted individuals remain 
only so many disconnected experiences. Hypothesis is to determine its nature a little 
more precisely through an investigation of its rather obscure origin, and to call attention 
to certain features of its function which have not generally been accorded their due 
significance. 
The scope hypothesis 
We should be surprised that language is as complicated as it is. That is to say, there is no 
reasonable doubt that a language with a context-free grammar, together with a transparent 
inductive characterization of the semantics, would have all of the expressive power of 
historically given natural languages, but none of the quirks or other puzzling features that 
we actually find when we study them. This circumstance suggests that the relations 
between apparent syntactic structure on the one hand and interpretation on the other --- 
the “interface conditions,” in popular terminology --- should be seen through the 
perspective of an underlying regularity of structure and interpretation that can be revealed 
only through extended inquiry, taking into consideration especially comparative data. 
Indeed, advances made especially during the past twenty-five years or so indicate that, at 
least over a broad domain, structures either generated from what is (more or less) 
apparent, or else underlying those apparent structures, display the kind of regularity in
their interface conditions that is familiar to us from the formalized languages. The 
elements that I concentrate upon here are two: the triggering of relative scope (from the 
interpretive point of view), and the distinction between those elements that contribute to 
meaning through their contribution to reference and truth conditions, on the one hand, 
and those that do so through the information that they provide about the intentional states 
of the speaker or those the speaker is talking about, on the other. As will be seen, I will in 
part support Jaakko Hintikka’s view that the latter distinction involves scope too, but in a 
more derivative fashion than he has explicitly envisaged. 
TESTING OF HYPOTHESIS 
Hypothesis testing refers to the process of using statistical analysis to determine if the 
observed differences between two or more samples are due to random chance (as stated 
in the null hypothesis) or to true differences in the samples (as stated in the alternate 
hypothesis). A null hypothesis (H0) is a stated assumption that there is no difference in 
parameters (mean, variance, DPMO) for two or more populations. The alternate 
hypothesis (Ha) is a statement that the observed difference or relationship between two 
populations is real and not the result of chance or an error in sampling. Hypothesis testing 
is the process of using a variety of statistical tools to analyze data and, ultimately, to fail 
to reject or reject the null hypothesis. From a practical point of view, finding statistical 
evidence that the null hypothesis is false allows you to reject the null hypothesis and 
accept the alternate hypothesis. Hypothesis testing is the use of statistics to determine the 
probability that a given hypothesis is true. The usual process of hypothesis testing 
consists of four steps. 
1. Formulate the null hypothesis (commonly, that the observations are the result of pure 
chance) and the alternative hypothesis (commonly, that the observations show a real 
effect combined with a component of chance variation). 
2. Identify a test statistic that can be used to assess the truth of the null hypothesis. 
3. Compute the P-value, which is the probability that a test statistic at least as significant 
as the one observed would be obtained assuming that the null hypothesis were true. The 
smaller the -value, the stronger the evidence against the null hypothesis. 
4. Compare the -value to an acceptable significance value (sometimes called an alpha 
value). If , that the observed effect is statistically significant, the null hypothesis is ruled 
out, and the alternative hypothesis is valid. 
Flow Diagram 
1 Identify the null hypothesis H0 and the alternate hypothesis HA. 
2 Choose ?. The value should be small, usually less than 10%. It is important to consider 
the consequences of both types of errors. 
3 Select the test statistic and determine its value from the sample data. This value is 
called the observed value of the test statistic. Remember that a t statistic is usually
appropriate for a small number of samples; for larger number of samples, a z statistic can 
work well if data are normally distributed. 
4 Compare the observed value of the statistic to the critical value obtained for the 
chosen ?. 
5 Make a decision. 
If the test statistic falls in the critical region: 
Reject H0 in favour of HA. If the test statistic does not fall in the critical region: 
Conclude that there is not enough evidence to reject H0. 
Practical Example 
A) One tailed Test 
An aquaculture farm takes water from a stream and returns it after it has circulated 
through the fish tanks. The owner thinks that, since the water circulates rather quickly 
through the tanks, there is little organic matter in the effluent. To find out if this is true, 
he takes some samples of the water at the intake and other samples downstream the 
outlet, and tests for Biochemical Oxygen Demand (BOD). If BOD increases, it can be 
said that the effluent contains more organic matter than the stream can handle. The data 
for this problem are given in the following table: 
Table 3. BOD in the stream 
One tailed t-test : 
Upstream Downstream 
6.782 9.063 
5.809 8.381 
6.849 8.660 
6.879 8.405 
7.014 9.248 
7.321 8.735 
5.986 9.772 
6.628 8.545 
6.822 8.063 
6.448 8.001 
1. A is the set of samples taken at the intake; and B is the set of samples taken 
downstream. 
o H0: ?B < ?A 
o HA: ?B > ?A 
2. Choose an ?. Let us use 5% for this example. 
3. The observed t value is calculated 
4. The critical t value is obtained according to the degrees of freedom 
The resulting t test values are shown in this table:
Table 4. t-Test : Two-Sample Assuming Equal Variances 
Upstream Downstream 
Mean 6.6539 8.6874 
Variance 0.2124 0.2988 
Observations 10 10 
Pooled Variance 0.2556 
Hypothesized Mean Difference 0 
Degrees of freedom 18 
t stat -8.9941 
P(T 
The numerical value of the calculated t statistic is higher than the critical t value. We 
therefore reject H0 and conclude that the effluent is polluting the stream. 
what is a case study method? Briefly explain assumption and major steps in case study 
method. 
Answer: Case study research excels at bringing us to an understanding of a complex issue 
or object and can extend experience or add strength to what is already known through 
previous research. Case studies emphasize detailed contextual analysis of a limited 
number of events or conditions and their relationships. Researchers have used the case 
study research method for many years across a variety of disciplines. Social scientists, in 
particular, have made wide use of this qualitative research method to examine 
contemporary real-life situations and provide the basis for the application of ideas and 
extension of methods. Researcher Robert K. Yin defines the case study research method 
as an empirical inquiry that investigates a contemporary phenomenon within its real-life 
context; when the boundaries between phenomenon and context are not clearly evident; 
and in which multiple sources of evidence are used (Yin, 1984, p. 23). Critics of the case 
study method believe that the study of a small number of cases can offer no grounds for 
establishing reliability or generality of findings. Others feel that the intense exposure to 
study of the case biases the findings. Some dismiss case study research as useful only as 
an exploratory tool. Yet researchers continue to use the case study research method with 
success in carefully planned and crafted studies of real-life situations, issues, and 
problems. Reports on case studies from many disciplines are widely available in the 
literature. This paper explains how to use the case study method and then applies the 
method to an example case study project designed to examine how one set of users, non-profit 
organizations, make use of an electronic community network. The study examines 
the issue of whether or not the electronic community network is beneficial in some way 
to non-profit organizations and what those benefits might be. Many well-known case 
study researchers such as Robert E. Stake, Helen Simons, and Robert K. Yin have written 
about case study research and suggested techniques for organizing and conducting the 
research successfully. This introduction to case study research draws upon their work and 
proposes six steps that should be used: • Determine and define the research questions 
• Select the cases and determine data gathering and analysis techniques 
• Prepare to collect the data
• Collect data in the field 
• Evaluate and analyze the data 
• Prepare the report 
Step 1. Determine and Define the Research Questions 
The first step in case study research is to establish a firm research focus to which the 
researcher can refer over the course of study of a complex phenomenon or object. The 
researcher establishes the focus of the study by forming questions about the situation or 
problem to be studied and determining a purpose for the study. The research object in a 
case study is often a program, an entity, a person, or a group of people. Each object is 
likely to be intricately connected to political, social, historical, and personal issues, 
providing wide ranging possibilities for questions and adding complexity to the case 
study. The researcher investigates the object of the case study in depth using a variety of 
data gathering methods to produce evidence that leads to understanding of the case and 
answers the research questions. Case study research generally answers one or more 
questions which begin with "how" or "why." The questions are targeted to a limited 
number of events or conditions and their inter-relationships. To assist in targeting and 
formulating the questions, researchers conduct a literature review. This review establishes 
what research has been previously conducted and leads to refined, insightful questions 
about the problem. Careful definition of the questions at the start pinpoints where to look 
for evidence and helps determine the methods of analysis to be used in the study. The 
literature review, definition of the purpose of the case study, and early determination of 
the potential audience for the final report guide how the study will be designed, 
conducted, and publicly reported. 
Step 2. Select the Cases and Determine Data Gathering and Analysis Techniques During 
the design phase of case study research, the researcher determines what approaches to use 
in selecting single or multiple real-life cases to examine in depth and which instruments 
and data gathering approaches to use. When using multiple cases, each case is treated as a 
single case. Each case?s conclusions can then be used as information contributing to the 
whole study, but each case remains a single case. Exemplary case studies carefully select 
cases and carefully examine the choices available from among many research tools 
available in order to increase the validity of the study. Careful discrimination at the point 
of selection also helps erect boundaries around the case. The researcher must determine 
whether to study cases which are unique in some way or cases which are considered 
typical and may also select cases to represent a variety of geographic regions, a variety of 
size parameters, or other parameters. A useful step in the selection process is to 
repeatedly refer back to the purpose of the study in order to focus attention on where to 
look for cases and evidence that will satisfy the purpose of the study and answer the 
research questions posed. Selecting multiple or single cases is a key element, but a case 
study can include more than one unit of embedded analysis. For example, a case study 
may involve study of a single industry and a firm participating in that industry. This type 
of case study involves two levels of analysis and increases the complexity and amount of
data to be gathered and analyzed. A key strength of the case study method involves using 
multiple sources and techniques in the data gathering process. The researcher determines 
in advance what evidence to gather and what analysis techniques to use with the data to 
answer the research questions. Data gathered is normally largely qualitative, but it may 
also be quantitative. Tools to collect data can include surveys, interviews, documentation 
review, observation, and even the collection of physical artifacts. The researcher must use 
the designated data gathering tools systematically and properly in collecting the evidence. 
Throughout the design phase, researchers must ensure that the study is well constructed 
to ensure construct validity, internal validity, external validity, and reliability. Construct 
validity requires the researcher to use the correct measures for the concepts being studied. 
Internal validity (especially important with explanatory or causal studies) demonstrates 
that certain conditions lead to other conditions and requires the use of multiple pieces of 
evidence from multiple sources to uncover convergent lines of inquiry. The researcher 
strives to establish a chain of evidence forward and backward. External validity reflects 
whether or not findings are generalizable beyond the immediate case or cases; the more 
variations in places, people, and procedures a case study can withstand and still yield the 
same findings, the more external validity. Techniques such as cross-case examination and 
within-case examination along with literature review helps ensure external validity. 
Reliability refers to the stability, accuracy, and precision of measurement. Exemplary 
case study design ensures that the procedures used are well documented and can be 
repeated with the same results over and over again. 
Step 3. Prepare to Collect the Data Because case study research generates a large amount 
of data from multiple sources, systematic organization of the data is important to prevent 
the researcher from becoming overwhelmed by the amount of data and to prevent the 
researcher from losing sight of the original research purpose and questions. Advance 
preparation assists in handling large amounts of data in a documented and systematic 
fashion. Researchers prepare databases to assist with categorizing, sorting, storing, and 
retrieving data for analysis. Exemplary case studies prepare good training programs for 
investigators, establish clear protocols and procedures in advance of investigator field 
work, and conduct a pilot study in advance of moving into the field in order to remove 
obvious barriers and problems. The investigator training program covers the basic 
concepts of the study, terminology, processes, and methods, and teaches investigators 
how to properly apply the techniques being used in the study. The program also trains 
investigators to understand how the gathering of data using multiple techniques 
strengthens the study by providing opportunities for triangulation during the analysis 
phase of the study. The program covers protocols for case study research, including time 
deadlines, formats for narrative reporting and field notes, guidelines for collection of 
documents, and guidelines for field procedures to be used. Investigators need to be good 
listeners who can hear exactly the words being used by those interviewed. Qualifications 
for investigators also include being able to ask good questions and interpret answers. 
Good investigators review documents looking for facts, but also read between the lines 
and pursue collaborative evidence elsewhere when that seems appropriate. Investigators 
need to be flexible in real-life situations and not feel threatened by unexpected change, 
missed appointments, or lack of office space. Investigators need to understand the 
purpose of the study and grasp the issues and must be open to contrary findings.
Investigators must also be aware that they are going into the world of real human beings 
who may be threatened or unsure of what the case study will bring. After investigators 
are trained, the final advance preparation step is to select a pilot site and conduct a pilot 
test using each data gathering method so that problematic areas can be uncovered and 
corrected. Researchers need to anticipate key problems and events, identify key people, 
prepare letters of introduction, establish rules for confidentiality, and actively seek 
opportunities to revisit and revise the research design in order to address and add to the 
original set of research questions. 
4. Collect Data in the Field The researcher must collect and store multiple sources of 
evidence comprehensively and systematically, in formats that can be referenced and 
sorted so that converging lines of inquiry and patterns can be uncovered. Researchers 
carefully observe the object of the case study and identify causal factors associated with 
the observed phenomenon. Renegotiation of arrangements with the objects of the study or 
addition of questions to interviews may be necessary as the study progresses. Case study 
research is flexible, but when changes are made, they are documented systematically. 
Exemplary case studies use field notes and databases to categorize and reference data so 
that it is readily available for subsequent reinterpretation. Field notes record feelings and 
intuitive hunches, pose questions, and document the work in progress. They record 
testimonies, stories, and illustrations which can be used in later reports. They may warn 
of impending bias because of the detailed exposure of the client to special attention, or 
give an early signal that a pattern is emerging. They assist in determining whether or not 
the inquiry needs to be reformulated or redefined based on what is being observed. Field 
notes should be kept separate from the data being collected and stored for analysis. 
Maintaining the relationship between the issue and the evidence is mandatory. The 
researcher may enter some data into a database and physically store other data, but the 
researcher documents, classifies, and cross-references all evidence so that it can be 
efficiently recalled for sorting and examination over the course of the study. 
Step 5. Evaluate and Analyze the Data The researcher examines raw data using many 
interpretations in order to find linkages between the research object and the outcomes 
with reference to the original research questions. Throughout the evaluation and analysis 
process, the researcher remains open to new opportunities and insights. The case study 
method, with its use of multiple data collection methods and analysis techniques, 
provides researchers with opportunities to triangulate data in order to strengthen the 
research findings and conclusions. The tactics used in analysis force researchers to move 
beyond initial impressions to improve the likelihood of accurate and reliable findings. 
Exemplary case studies will deliberately sort the data in many different ways to expose or 
create new insights and will deliberately look for conflicting data to disconfirm the 
analysis. Researchers categorize, tabulate, and recombine data to address the initial 
propositions or purpose of the study, and conduct cross-checks of facts and discrepancies 
in accounts. Focused, short, repeat interviews may be necessary to gather additional data 
to verify key observations or check a fact. Specific techniques include placing 
information into arrays, creating matrices of categories, creating flow charts or other 
displays, and tabulating frequency of events. Researchers use the quantitative data that 
has been collected to corroborate and support the qualitative data which is most useful for
understanding the rationale or theory underlying relationships. Another technique is to 
use multiple investigators to gain the advantage provided when a variety of perspectives 
and insights examine the data and the patterns. When the multiple observations converge, 
confidence in the findings increases. Conflicting perceptions, on the other hand, cause the 
researchers to pry more deeply. Another technique, the cross-case search for patterns, 
keeps investigators from reaching premature conclusions by requiring that investigators 
look at the data in many different ways. Cross-case analysis divides the data by type 
across all cases investigated. One researcher then examines the data of that type 
thoroughly. When a pattern from one data type is corroborated by the evidence from 
another, the finding is stronger. When evidence conflicts, deeper probing of the 
differences is necessary to identify the cause or source of conflict. In all cases, the 
researcher treats the evidence fairly to produce analytic conclusions answering the 
original "how" and "why" research questions. 
Step 6. Prepare the report Exemplary case studies report the data in a way that transforms 
a complex issue into one that can be understood, allowing the reader to question and 
examine the study and reach an understanding independent of the researcher. The goal of 
the written report is to portray a complex problem in a way that conveys a vicarious 
experience to the reader. Case studies present data in very publicly accessible ways and 
may lead the reader to apply the experience in his or her own real-life situation. 
Researchers pay particular attention to displaying sufficient evidence to gain the reader?s 
confidence that all avenues have been explored, clearly communicating the boundaries of 
the case, and giving special attention to conflicting propositions. Techniques for 
composing the report can include handling each case as a separate chapter or treating the 
case as a chronological recounting. Some researchers report the case study as a story. 
During the report preparation process, researchers critically examine the document 
looking for ways the report is incomplete. The researcher uses representative audience 
groups to review and comment on the draft document. Based on the comments, the 
researcher rewrites and makes revisions. Some case study researchers suggest that the 
document review audience include a journalist and some suggest that the documents 
should be reviewed by the participants in the study. 
Case studies are complex because they generally involve multiple sources of data, may 
include multiple cases within a study, and produce large amounts of data for analysis. 
Researchers from many disciplines use the case study method to build upon theory, to 
produce new theory, to dispute or challenge theory, to explain a situation, to provide a 
basis to apply solutions to situations, to explore, or to describe an object or phenomenon. 
The advantages of the case study method are its applicability to real-life, contemporary, 
human situations and its public accessibility through written reports. Case study results 
relate directly to the common reader’s everyday experience and facilitate an 
understanding of complex real-life situations. 
ASSUMPTION OF CASE STUDY METHOD 
The case study method is based on several assumptions. The importance assumptions are 
explained below
Uniformity of human nature 
The assumption of uniformity in the basic human nature in spite of the fact that human 
behavior may vary according to situations. This assumption underlines the collection of 
case data. 
Nature history of the unit 
The assumption of studying the natural history of the unit concerned. It gives the 
background for the study 
Comprehensive study 
The assumption of comprehensive study of the unit concerned 
Applicability 
Psychologist has stated that some statement about human broadly apply to each 
individual or to each member of a large group. 
Homogeneity 
According to cora dubois,an antraopologist, the case study is possible only because of 
certain basic homogeneity or similarity in evidenced in the mankind. 
Major steps of case study method: 
I. Identify the case topic, setting, primary focus, and perspective. 
II. Obtain relevant public background materials and knowledgeable informant insights. 
III. Obtain access, approval, and clarify anonymity issues with key gatekeeper. 
IV. Obtain relevant documents, minutes, reports and other appropriate materials. 
V. Develop preliminary chronology of key events leading to controversy or decision and 
identify key players and issues. 
VI. Consider varied perspective and sources of information and pedagogical purpose of 
the case. 
VII. Develop interview protocol (key questions for various informants) and further 
information to collect. This will evolve further. 
VIII. Conduct interviews and collect other documents, information and materials.
IX. Develop case outline and style of presentation. 
X. Draft case. Obtain comment and feedback from key gatekeeper (and other students). 
Revise and finalize the case 
Documentation: 
The documentary sources are important sources of information for a researcher. A 
document is anything in writing – a record, files or diaries, published or unpublished-which 
can be extracted and used in research. It is very valuable source of information for 
research either in management or in social science. it may comprises office files, business 
and legal papers, biographies, official and unofficial records, letters, proceedings of any 
courts ,committees, societies, assemblies and parliaments, enactments, constitution, 
reports of surveys or research of commissions, official statistics, newspapers editorials, 
special articles, company news, cases or company directors reports etc. documentation is 
the process of collecting and extracting the documents which relevant research. 
Documents may be classified into 
1) Personal documents: 
personal documents are those are written by or on behalf of individuals. They may 
include autobiographical, biographies diaries memories letters observations and 
inscriptions, which are primarily written for the use and satisfaction of individuals and 
which can be utilized for research purposes. Personal documents play a very vital role in 
research. 
2) Company documents 
3) Consultants report and published materials and 4) Public documents 
b) sources and tabulations 
It is the process of condensation of the data for convenience, in statistical processing, 
presentation and interpretation of the information. 
A good table is one which has the following requirements : 
1. It should present the data clearly, highlighting important details. 
2. It should save space but attractively designed. 
3. The table number and title of the table should be given.+ 
4. Row and column headings must explain the figures therein. 
5. Averages or percentages should be close to the data.
6. Units of the measurement should be clearly stated along the titles or headings. 
7. Abbreviations and symbols should be avoided as far as possible. 
8. Sources of the data should be given at the bottom of the data. 
9. In case irregularities creep in table or any feature is not sufficiently explained, 
references and foot notes must be given. 
10. The rounding of figures should be unbiased. 
"Classified and arranged facts speak of themselves, and narrated they are as dead as 
mutton" This quote is given by J.R. Hicks. The process of dividing the data into different 
groups ( viz. classes) which are homogeneous within but heterogeneous between 
themselves, is called a classification. It helps in understanding the salient features of the 
data and also the comparison with similar data. For a final analysis it is the best friend of 
a statistician. 
c) Classification and tabulation 
The data is classified in the following ways : 1. According to attributes or qualities this is 
divided into two parts : 
(A) Simple classification 
(B) Multiple classification. 
2. According to variable or quantity or classification according to class intervals. - 
Qualitative Classification : When facts are grouped according to the qualities (attributes) 
like religion, literacy, business etc., the classification is called as qualitative 
classification. 
(A) Simple Classification : It is also known as classification according to Dichotomy. 
When data (facts) are divided into groups according to their qualities, the classification is 
called as 'Simple Classification'. Qualities are denoted by capital letters (A, B, C, D ......) 
while the absence of these qualities are denoted by lower case letters (a, b, c, d, .... etc.) 
(B) Manifold or multiple classification : In this method data is classified using one or 
more qualities. First, the data is divided into two groups (classes) using one of the 
qualities. Then using the remaining qualities, the data is divided into different subgroups. 
For example, the population of a country is classified using three attributes: sex, literacy 
and business 
Classification according to class intervals or variables : The data which is expressed in 
numbers (quantitative data), is classified according to class-intervals. While forming 
class-intervals one should bear in mind that each and every item must be covered. After 
finding the least value of an item and the highest value of an item, classify these items
into different class-intervals. For example if in any data the age of 100 persons ranging 
from 2 years to 47 years In deciding on the grouping of the data into classes, for the 
purpose of reducing it to a manageable form, we observe that the number of classes 
should not be too large. If it were so then the object of summarization would be defeated. 
The number of classes should also not be too small because then we will miss a great deal 
of detail available and get a distorted picture. As a rule one should have between 10 and 
25 classes, the actual number depending on the total frequency. Further, classes should be 
exhaustive; they should not be overlapping, so that no observed value falls in more than 
one class. Apart from exceptions, all classes should have the same length. 
f) Scope of managerial research: 
Management Research (MR) is an international journal dedicated to advancing the 
understanding of management in private and public sector organizations through 
empirical investigation and theoretical analysis. MR attempts to provide an international 
dialogue between researchers and thereby improve the understanding of the nature of 
management in different settings and, consequently, achieve a reasonable transfer of 
research results to management practice in several contexts. MR is especially dedicated 
to foster the general advancement of management scholarship among iberoamerican 
scholars and/or those academics interested in iberoamerican issues. Iberoamerica is 
defined broadly to include all of Latin America, Latino populations in North America, 
and Spain/Portugal. However, submissions are encouraged from all management scholars 
regardless of ethnicity or national origin and manuscripts should not be limited to themes 
dealing with iberoamerican populations. MR is a multidisciplinary outlet open to 
contributions of high quality, from any perspective relevant to the field and from any 
country. MR intends to become a supranational journal which gives special attention to 
national and cultural similarities and differences world-wide. This is reflected by its 
international editorial board and publisher and its sponsorship by the Iberoamerican 
Academy of Management. MR is open to a variety of perspectives, including those that 
seek to improve the effectiveness of, as well, as those critical of, management and 
organizations. MR is receptive to research across a broad range of management topics 
such as human resource management, organizational behavior, organization theory, 
strategic management, corporate governance, and managerial economics. The 
management and organization contributions present in MR articles can also be grounded 
in the basic social disciplines of economics, psychology, or sociology. Articles can be 
empirical, theoretical or measurement oriented. Conceptual articles should provide new 
theoretical insights that can advance our understanding of management and 
organizations. Empirical articles should have well-articulated and strong theoretical 
foundations. All types of empirical methods -quantitative, qualitative or combinations-are 
acceptable. MR encourages the interplay between theorizing the empirical research in 
the belief that they should be mutually informative. MR is especially interested in new 
data sources. That includes models that test new theory and expand our sample pools by 
including alternative approaches to sampling and measurement and samples drawn from 
non-traditional sources (e.g., from iberoamerican firms), and the examination of the 
validity and reliability of such samples. MR publishes only original research as articles or 
research notes. Manuscripts will be considered for publication with the understanding 
that their contents are not under consideration for publication elsewhere. Prior
presentation at conference or concurrent consideration for presentation at a conference 
does not disqualify a manuscript from consideration by MR.

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Research methodology

  • 1. Explain social research, with its main features as objectives and different stages? Answer: Research is a careful investigation or inquiry especially through search for new facts in any branch of knowledge. According to Redman and Mary research is a systematized effort to gain new knowledge. According to D.Sleshinger and M.Stemson has defined research as the manipulation of things, concepts or symbols for the purpose of generalizing to extend, correct or verify knowledge, heather that knowledge aids in construction of theory or in the practice of an art. Social research is a scientific undertaking which by means of logical and systematized techniques, aims to discover new factory verify a test old facts, analyze their sequence interrelationship and casual explanation which were derived within an appropriate theoretical frame of reference, develop new scientific tools, concepts and theories which would facilities reliable and valid study of human behavior. According to PV young social research the systematic method of discovering news facts or verifying old facts, their sequences, inter-relationships, casual explanation and the natural laws which governs them. Prof C.A Mosr defines social research as “systematized investigation to give new knowledge about social phenomena and surveys”. Rummel defined social research as it is devoted to a “study of mankind in his social environment and is concerned with improving his understanding of social orders, groups, institutes and ethics”. Mary Stevenson defined social research as “social research is a systematic methods of exploring, analyzing and conceptualizing social life in order to extend ,correct or verify knowledge, whether that knowledge aid in the construction of a theory or in the practice of an art. The characteristic features of social research: Social research is scientific approach of adding to the knowledge about society and social phenomenon. Knowledge to be meaningful should have a definite purpose and direction. The growth of knowledge is closely linked to the methods and approaches used in research investigation. Hence the social science research must be guided by certain laid down objectives enumerated below Development knowledge The main object of any research is to add to the knowledge. As we have seen earlier, research is a process to obtain knowledge. Similarly social research is an organized and scientific effort to acquire further knowledge about the problem in question. Thus social science helps us to obtain and add to the knowledge of social phenomena. This one of the important objective of social research. Scientific study of social research: Social research is an attempt to acquire knowledge about the social phenomena. Man being the part of a society, social research studies human being as an individual, human behavior and collects data about various aspects of the social life of man and formulates law in this regards. Once the law is formulated then the scientific study tries to establish the interrelationship between these facts. Thus, the scientific study of social life is the base of the sociological development which is considered as second best objective of social research. Welfare of humanity: The ultimate objective of the social science study if often and always to enhance the welfare of humanity. No scientific research makes only for the sake of study. The welfare of humanity is the most common objective in social science research. Classification of facts:
  • 2. According to Prov P.V.Young, social research aims to clarify facts. The classification of facts plays important role in any scientific research. Social control and prediction: The ultimate object of many research undertaking is to make it possible, to redirect the behavior of particular type of individual under the specified conditions. In social research we generally study of the social phenomena, event and factors that govern and guide them. a) Social research deals with phenomena. It studies the human behavior. b) It discovers new facts and verifies old facts. With the improvement in the technique and changes in the phenomena the researcher has to study the. c) Casual relationship between various human activities can also be studies in social research. For the sake of systematic presentation, the process of research may be classifies under three stages Primary stage Secondary stage Tertiary stage The primary stage includes Observation Interest Crystallization, identification and statement of a research problem Formulation of hypothesis Primary synopsis Conceptual clarity Documentation Preparation of bibliography and Research design The secondary stage includes Project planning Project formulation Questionnaire preparation Investigation and data collection Preparation of final synopsis Compilation of data Classification Tabulation and presentation of data Experimentation Analysis Testing of hypothesis and Interpretation The tertiary stage includes Report writing Observation, suggestions and conclusions.
  • 3. Give the significance of social research also mention the different problems of social research and how they are solved? within the last 20 to 25 years, courses in methods of social research have come to occupy an increasingly important role in sociological curricula. It likely that at present every major university offers such courses. This is because growing significance of social research and also growing job opportunities in this field. The market analysis, the public opinion expert, the investigator of communication and propaganda all are growing facts for governmental and business needs. Knowledge of social research is useful for interpreting and weighing such reports. In this present age, social science are accruing a scientific method of study for this method, research is an important factor. In the last two or three decades, a social research has become an important subject of the curriculum of sociology. In fact almost all the universities, where sociology is taught, social research is a apart of the curriculum of the sociology. Social research has therefore, assumed greater importance. Apart from thus, the social science research is essential for proper understanding the society and proper collection and analysis of social facts. The social research is an effective method. Research laboratory techniques are helping in finding further knowledge, about the subject. Through research only it has been possible to make progress and reach further. It is part of man’s nature. The importance saying goes, necessity is the mother of invention and invention is the result if research. So long as necessity exists the research shall be these social science and particularly sociology has come occupy an importance place for us. In fact, research is an organized effort to acquire new knowledge. It is based on the past experience and past knowledge. The richer the past knowledge, greater the surely of the results. In science sociology is assuming a scientific base, research has become a part of study, it is not an easy task to predict social behavior because of human nature is ever changing. Problems of scientific social research In fact social research deals with social phenomena which are quite different than natural phenomena. Hence there are fundamental difference between research in social science and that of physical or natural science. Let us study main difficulities faced by the researcher in the application so scientific methods in social research. Complexity of social data It is a well known that social science studies the human behavior which depends on several factor such as physical, social, temperamental ,psychological, geographical, biological social cultural etc. because of these factors a researcher is generally confused. It is therefore said that because of this complexity of social fata human beings cannot be put to scientific test. Problems of concepts: In social science research, one has to face number of problems among which of a) Abstraction b) Faculty reasoning Plays major role in formulating and defining the concepts and laws. Problems in interpreting relationship between cause and effects: In social science research, we generally find interdependent relationship between cause and effect. The cause and effect are one and the same, for example, in underdevelopment countries, the economics development cannot be accelerated due to lack of technical know how and capital cannot be obtained due to underdevelopment of the country. Dynamic nature of social phenomena
  • 4. Man is a social animal and human society undergoes constant change. What is true today may not be useful tomorrow. The techniques used in past may prove useless for present ad future studies. On a account of this dynamic nature of social phenomena our task of analyzing data becomes very much complicated and the interferences drawn may be misleading. Problems of maintaining objectivity The problem of impartiality in part of problem of objectivity. It is generally argued that the social scientific are less objective than natural scientific because their own interest affected by the finding of their studies, hence leading to prejudice and bias. Unpredictability Predictability is one of the most important characteristics of science. In case of physical science, high degree of predictability is possible but it is not so in case of social data. but this statement is also partially true, the social scientist can roughly estimate the behavior of the group. Difficulty in the verification of the inferences: In social research, the events of social science are non repetitive and the social science are ill-equipped with their tools to verify inferences. Difficulty in the use of experimental method. In case of social science research its product being a human being cannot be put to laboratory test. Even if it is done, their responses wouldn’t be natural but subject to the awareness of the artificial condition. Thus social scientist has to watch them in wide world. Difficulty in the use of experimental method. In case of social science research, its product being a human being cannot be put to lab test. Even if it is done, their responses wouldn’t natural but subject to the awareness of the artificial condition. Thus the social scientist has to watch them in the wide world. Incapability of being dealt through empirical method: An empirical method cannot be applied in case of social science research as repeated experiment is not possible ,for example, the problem of unbiased sampling selection of data etc. Problem of inter-disciplinary research Social science being, inter-disciplinary one i.e related with, economics, political science and sociology, we cannot draw water-tight compartments for each other social science. Paucity of funds: In case of social science research, we generally observed that small amount if finance is made available to them, it is not sufficient to conduct research effectively. Less resources: Prof Mitchell has rightly pointed out that social science researcher require less resources in comparing to physical science. briefly explain the various primary stages of research process. Research is a source which can be draw upon to make a substantial contribution to the body of the knowledge; research should be followed by some sort of original contribution. The primary stage includes Observation: Research start with observation, which leads to curiosity to learn more about what has been observed. Observation can either be unaided visual observation or guided and controlled observation. Sometimes a casual or associated observation leading to substantial research and a great invention. Deliberate and guided observation can also form the basis for research. While observation leads to research, research results in elaborate observation and convulsions; or even further research observation can either be
  • 5. subjective or objective. These are participant observation, on –participant observation, controlled observation and non controlled observation. Interest: The observation of certain occurrences creates an interest and inquisitiveness in the mind of the researcher to study it further. This is the basis of interest to study the subject matter of observation. It may be self interest or group interest. The interest is the guiding force behind any research. Crystallization, Crystallization is the process of designing the definite form of Research to be undertaken for the purpose of studying the subject matter. It is the formulation of the research project, a defining its objectives, rationale, scope, methodology, limitations, including financial commitments and sources. It is at this stage that the research project is given a concrete shape and structure, forming a basis of further investigation. Formulation of hypothesis At this stage the hypothesis is formed on the basis of observation. Hypothesis is apart of the scientific method, and has been dealt with in detail in the chapter on “scientific method and hypothesis” Primary synopsis Synopsis is a summary /outline/brief of any subject. It is not a complete subject still formalization of a subject/replica of a subject. It saves time. It will give an idea of time required for presentation of the main subject. Once the subject is decided you can arrange titles likes like main headings, paragraph heading-elaborate the paragraph with important of main issues. Conceptual clarity Any researcher should have in-depth background knowledge of the topic of his study. He can gain such basic knowledge only be an extensive reading of text books, specialized books and publications on the topic in addition to articles and research papers published in journals and periodicals, reports of the past studies, etc. he can also gain knowledge by details discussion with the people concerned and by his own observation. However it is imperative for a researcher to gain a deep knowledge form any reliable source prior to actually plunging himself into a research, so theta he may have clear knowledge of the concepts which would be of value to him in his task. Documentation The documentary sources are important sources of information for a researcher. A document is anything in writing – a record, files or diaries, published or unpublished-which can be extracted and used in research. It is very valuable source of information for research either in management or in social science. it may comprises office files, business and legal papers, biographies, official and unofficial records, letters, proceedings of any courts ,committees, societies, assemblies and parliaments, enactments, constitution, reports of surveys or research of commissions, official statistics, newspapers editorials, special articles, company news, cases or company directors reports etc. documentation is the process of collecting and extracting the documents which relevant research. Documents may be classified into 1) Personal documents
  • 6. 2) Company documents 3) Consultants report and published materials and 4) Public documents Bibliography At the end of any research report a bibliography is generally added. This is the list of books publication, periodicals, journals, reports, etc which are used by researcher in the connection with the study. It is a description of books, their authorship, editions, publishers, year of publication, place of publication etc. in ordinary circumstance, a researcher reads, and makes notes form, many books and publications at the primary stage of researcher in order to gain conceptual clarity. He prepares a list of such publications are reports then and there, which helps him in the course of his research. Some mistakenly believe that a bibliography is merely a list of publication compiled at the end of report writing like an appendix. On the contrary a bibliography contains and is composed of the details of publications that the researcher has used in connection with his study. These facilities any further reference to the matter either by the researcher himself or anybody who goes through the researcher report. what is questionnaire- mention its characteristics and illustrate a sample questionnaire for any product you can choose Answer: Questionnaire is a method used for collecting data; a set of written questions which calls for responses on the part of the client; may be self-administered or group-administered. Questionnaires are an inexpensive way to gather data from a potentially large number of respondents. Often they are the only feasible way to reach a number of reviewers large enough to allow statistically analysis of the results. A well-designed questionnaire that is used effectively can gather information on both the overall performance of the test system as well as information on specific components of the system. If the questionnaire includes demographic questions on the participants, they can be used to correlate performance and satisfaction with the test system among different groups of users. It is important to remember that a questionnaire should be viewed as a multi-stage process beginning with definition of the aspects to be examined and ending with interpretation of the results. Every step needs to be designed carefully because the final results are only as good as the weakest link in the questionnaire process. Although questionnaires may be cheap to administer compared to other data collection methods, they are every bit as expensive in terms of design time and interpretation. The steps required to design and administer a questionnaire include: 1. Defining the Objectives of the survey 2. Determining the Sampling Group 3. Writing the Questionnaire 4. Administering the Questionnaire 5. Interpretation of the Results This document will concentrate on how to formulate objectives and write the questionnaire. Before these steps are examined in detail, it is good to consider what questionnaires are good at measuring and when it is appropriate to use questionnaires. What can questionnaires measure? Questionnaires are quite flexible in what they can
  • 7. measure, however they are not equally suited to measuring all types of data. We can classify data in two ways, Subjective vs. Objective and Quantitative vs. Qualitative. When a questionnaire is administered, the researchers control over the environment will be somewhat limited. This is why questionnaires are inexpensive to administer. This loss of control means the validity of the results are more reliant on the honesty of the respondent. Consequently, it is more difficult to claim complete objectivity with questionnaire data then with results of a tightly controlled lab test. For example, if a group of participants are asked on a questionnaire how long it took them to learn a particular function on a piece of software, it is likely that they will be biased towards themselves and answer, on average, with a lower than actual time. A more objective usability test of the same function with a similar group of participants may return a significantly higher learning time. More elaborate questionnaire design or administration may provide slightly better objective data, but the cost of such a questionnaire can be much higher and offset their economic advantage. In general, questionnaires are better suited to gathering reliable subjective measures, such as user satisfaction, of the system or interface in question. Questions may be designed to gather either qualitative or quantitative data. By their very nature, quantitative questions are more exact then qualitative. For example, the word "easy" and "difficult" can mean radically different things to different people. Any question must be carefully crafted, but in particular questions that assess a qualitative measure must be phrased to avoid ambiguity. Qualitative questions may also require more thought on the part of the participant and may cause them to become bored with the questionnaire sooner. In general, we can say that questionnaires can measure both qualitative and quantitative data well, but that qualitative questions require more care in design, administration, and interpretation. When to use a questionnaire? There is no all encompassing rule for when to use a questionnaire. The choice will be made based on a variety of factors including the type of information to be gathered and the available resources for the experiment. A questionnaire should be considered in the following circumstances. a. When resources and money are limited. A Questionnaire can be quite inexpensive to administer. Although preparation may be costly, any data collection scheme will have similar preparation expenses. The administration cost per person of a questionnaire can be as low as postage and a few photocopies. Time is also an important resource that questionnaires can maximize. If a questionnaire is self-administering, such as a e-mail questionnaire, potentially several thousand people could respond in a few days. It would be impossible to get a similar number of usability tests completed in the same short time. b. When it is necessary to protect the privacy of the participants. Questionnaires are easy to administer confidentially. Often confidentiality is the necessary to ensure participants will respond honestly if at all. Examples of such cases would include studies that need to ask embarrassing questions about private or personal behavior. c. When corroborating other findings. In studies that have resources to pursue other data collection strategies, questionnaires can be a useful confirmation tools. More costly schemes may turn up interesting trends, but occasionally there will not be resources to run these other tests on large enough participant groups to make the results statistically significant. A follow-up large scale questionnaire may be necessary to corroborate these earlier results
  • 8. Characteristics of a Good Questionnaire • Questions worded simply and clearly, not ambiguous or vague, must be objective • Attractive in appearance (questions spaced out, and neatly arranged) • Write a descriptive title for the questionnaire • Write an introduction to the questionnaire • Order questions in logical sequence • Keep questionnaire uncluttered and easy to complete • Delicate questions last (especially demographic questions) • Design for easy tabulation • Design to achieve objectives • Define terms • Avoid double negatives (I haven't no money) • Avoid double barreled questions (this AND that) • Avoid loaded questions ("Have you stopped beating your wife?") Explain the various measure of central tendency? In statistics, the general level, characteristic, or typical value that is representative of the majority of cases. Among several accepted measures of central tendency employed in data reduction, the most common are the arithmetic mean (simple average), the median, and the mode. FOR EXAMPLE, one measure of central tendency of a group of high school students is the average (mean) age of the students. Central tendency is a term used in some fields of empirical research to refer to what statisticians sometimes call "location". A "measure of central tendency" is either a location parameter or a statistic used to estimate a location parameter. Examples include: #Arithmetic mean, the sum of all data divided by the number of observations in the data set.#Median, the value that separates the higher half from the lower half of the data set.#Mode, the most frequent value in the data set. Measures of central tendency, or "location", attempt to quantify what we mean when we think of as the "typical" or "average" score in a data set. The concept is extremely important and we encounter it frequently in daily life. For example, we often want to know before purchasing a car its average distance per litre of petrol. Or before accepting a job, you might want to know what a typical salary is for people in that position so you will know whether or not you are going to be paid what you are worth. Or, if you are a smoker, you might often think about how many cigarettes you smoke "on average" per day. Statistics geared toward measuring central tendency all focus on this concept of "typical" or "average." As we will see, we often ask questions in psychological science revolving around how groups differ from each other "on average". Answers to such a question tell us a lot about the phenomenon or process we are studying Arithmetic Mean The arithmetic mean is the most common measure of central tendency. It simply the sum of the numbers divided by the number of numbers. The symbol mm is used for the mean of a population. The symbol MM is used for the mean of a sample. The formula for mm is shown below: m=SXN m S X N where SX S X is the sum of all the numbers in the numbers in the sample and NN is the number of numbers in the sample. As an example, the mean of the numbers 1+2+3+6+8=205=4 1 2 3 6 8 20 5 4 regardless of whether the numbers constitute the entire population or just a sample from the
  • 9. population. The table, Number of touchdown passes, shows the number of touchdown (TD) passes thrown by each of the 31 teams in the National Football League in the 2000 season. The mean number of touchdown passes thrown is 20.4516 as shown below. m=SXN=63431=20.4516 m S X N 634 31 20.4516 Number of touchdown passes 37 33 33 32 29 28 28 23 22 22 22 21 21 21 20 20 19 19 18 18 18 18 16 15 14 14 14 12 12 9 6 Although the arithmetic mean is not the only "mean" (there is also a geometic mean), it is by far the most commonly used. Therefore, if the term "mean" is used without specifying whether it is the arithmetic mean, the geometic mean, or some other mean, it is assumed to refer to the arithmetic mean. Median The median is also a frequently used measure of central tendency. The median is the midpoint of a distribution: the same number of scores are above the median as below it. For the data in the table, Number of touchdown passes, there are 31 scores. The 16th highest score (which equals 20) is the median because there are 15 scores below the 16th score and 15 scores above the 16th score. The median can also be thought of as the 50th percentile. Let's return to the made up example of the quiz on which you made a three discussed previously in the module Introduction to Central Tendency and shown in table 2. Three possible datasets for the 5-point make-up quiz Student Dataset 1 Dataset 2 Dataset 3 You 3 3 3 John's 3 4 2 Maria's 3 4 2 Shareecia's 3 4 2 Luther's 3 5 1 For Dataset 1, the median is three, the same as your score. For Dataset 2, the median is 4. Therefore, your score is below the median. This means you are in the lower half of the class. Finally for Dataset 3, the median is 2. For this dataset, your score is above the median and therefore in the upper half of the distribution. Computation of the Median: When there is an odd number of numbers, the median is simply the middle number. For example, the median of 2, 4, and 7 is 4. When there is an even number of numbers, the median is the mean of the two middle numbers. Thus, the median of the numbers 22, 44, 77, 1212 is 4+72=5.5 4 7 2 5.5 . mode The mode is the most frequently occuring value. For the data in the table, Number of touchdown passes, the mode is 18 since more teams (4) had 18 touchdown passes than any other number of touchdown passes. With continuous data such as response time measured to many decimals, the frequency of each value is one since no two scores will be exactly the same (see discussion of continuous variables). Therefore the mode of continuous data is normally computed from a grouped frequency distribution. The Grouped frequency distribution table shows a grouped frequency distribution for the target response time data. Since the interval with the highest frequency is 600-700, the mode is the middle of that interval (650). Grouped frequency distribution
  • 10. Range Frequency 500-600 3 600-700 6 700-800 5 800-900 5 900-1000 0 1000-1100 1 Trimean The trimean is computed by adding the 25th percentile plus twice the 50th percentile plus the 75th percentile and dividing by four. What follows is an example of how to compute the trimean. The 25th, 50th, and 75th percentile of the dataset "Example 1" are 51, 55, and 63 respectively. Therefore, the trimean is computed as: The trimean is almost as resistant to extreme scores as the median and is less subject to sampling fluctuations than the arithmetic mean in extremely skewed distributions. It is less efficient than the mean for normal distributions. . The trimean is a good measure of central tendency and is probably not used as much as it should be. Trimmed Mean A trimmed mean is calculated by discarding a certain percentage of the lowest and the highest scores and then computing the mean of the remaining scores. For example, a mean trimmed 50% is computed by discarding the lower and higher 25% of the scores and taking the mean of the remaining scores. The median is the mean trimmed 100% and the arithmetic mean is the mean trimmed 0%. A trimmed mean is obviously less susceptible to the effects of extreme scores than is the arithmetic mean. It is therefore less susceptible to sampling fluctuation than the mean for extremely skewed distributions. It is less efficient than the mean for normal distributions. Trimmed means are often used in Olympic scoring to minimize the effects of extreme ratings possibly caused by biased judges. Which are various measure of dispersion, explain each of them? Answer: In many ways, measures of central tendency are less useful in statistical analysis than measures of dispersion of values around the central tendency The dispersion of values within variables is especially important in social and political research because: • Dispersion or "variation" in observations is what we seek to explain. • Researchers want to know WHY some cases lie above average and others below Average for a given variable: o TURNOUT in voting: why do some states show higher rates than others? o CRIMES in cities: why are there differences in crime rates? o CIVIL STRIFE among countries: what accounts for differing amounts? • Much of statistical explanation aims at explaining DIFFERENCES in observations -- also known as o VARIATION, or the more technical term, VARIANCE If everything were the same, we would have no need of statistics. But, people's heights, ages, etc., do vary. We often need to measure the extent to which scores in a dataset
  • 11. differ from each other. Such a measure is called the dispersion of a distribution Some measure of dispersion are 1) Range The range is the simplest measure of dispersion. The range can be thought of in two ways . 1. As a quantity: the difference between the highest and lowest scores in a distribution. "The range of scores on the exam was 32." 2. As an interval; the lowest and highest scores may be reported as the range. "The range was 62 to 94," which would be written (62, 94). The Range of a Distribution Find the range in the following sets of data: NUMBER OF BROTHERS AND SISTERS { 2, 3, 1, 1, 0, 5, 3, 1, 2, 7, 4, 0, 2, 1, 2, 1, 6, 3, 2, 0, 0, 7, 4, 2, 1, 1, 2, 1, 3, 5, 12, 4, 2, 0, 5, 3, 0, 2, 2, 1, 1, 8, 2, 1, 2 } An outlier is an extreme score, i.e., an infrequently occurring score at either tail of the distribution. Range is determined by the furthest outliers at either end of the distribution. Range is of limited use as a measure of dispersion, because it reflects information about extreme values but not necessarily about "typical" values. Only when the range is "narrow" (meaning that there are no outliers) does it tell us about typical values in the data. 2) Percentile range Most students are familiar with the grading scale in which "C" is assigned to average scores, "B" to above-average scores, and so forth. When grading exams "on a curve," instructors look to see how a particular score compares to the other scores. The letter grade given to an exam score is determined not by its relationship to just the high and low scores, but by its relative position among all the scores. Percentile describes the relative location of points anywhere along the range of a distribution. A score that is at a certain percentile falls even with or above that percent of scores. The median score of a distribution is at the 50th percentile: It is the score at which 50% of other scores are below (or equal) and 50% are above. Commonly used percentile measures are named in terms of how they divide distributions. Quartiles divide scores into fourths, so that a score falling in the first quartile lies within the lowest 25% of scores, while a score in the fourth quartile is higher than at least 75% of the scores. Quartile Finder The divisions you have just performed illustrate quartile scores. Two other percentile scores commonly used to describe the dispersion in a distribution are decile and quintile scores which divide cases into equal sized subsets of tenths (10%) and fifths (20%), respectively. In theory, percentile scores divide a distribution into 100 equal sized groups. In practice this may not be possible because the number of cases may be under 100. A box plot is an effective visual representation of both central tendency and dispersion. It simultaneously shows the 25th, 50th (median), and 75th percentile scores, along with the minimum and maximum scores. The "box" of the box plot shows the middle or "most typical" 50% of the values, while the "whiskers" of the box plot show the more extreme values. The length of the whiskers indicate visually how extreme the outliers are. Below is the box plot for the distribution you just separated into quartiles. The boundaries of the
  • 12. box plot's "box" line up with the columns for the quartile scores on the histogram. The box plot displays the median score and shows the range of the distribution as well. By far the most commonly used measures of dispersion in the social sciences are Variance and standard deviation. Variance is the average squared difference of scores from the mean score of a distribution. Standard deviation is the square root of the variance. In calculating the variance of data points, we square the difference between each point and the mean because if we summed the differences directly, the result would always be zero. For example, suppose three friends work on campus and earn $5.50, $7.50, and $8 per hour, respectively. The mean of these values is $(5.50 + 7.50 + 8)/3 = $7 per hour. If we summed the differences of the mean from each wage, we would get (5.50-7) + (7.50-7) + (8-7) = -1.50 + .50 + 1 = 0. Instead, we square the terms to obtain a variance equal to 2.25 + .25 + 1 = 3.50. This figure is a measure of dispersion in the set of scores. The variance is the minimum sum of squared differences of each score from any number. In other words, if we used any number other than the mean as the value from which each score is subtracted, the resulting sum of squared differences would be greater. (You can try it yourself -- see if any number other than 7 can be plugged into the preceeding calculation and yield a sum of squared differences less than 3.50.) The standard deviation is simply the square root of the variance. In some sense, taking the square root of the variance "undoes" the squaring of the differences that we did when we calculated the variance. Variance and standard deviation of a population are designated by and , respectively. Variance and standard deviation of a sample are designated by s2 and s, respectively. 4) Standard Deviation The standard deviation ( or s) and variance ( or s2) are more complete measures of dispersion which take into account every score in a distribution. The other measures of dispersion we have discussed are based on considerably less information. However, because variance relies on the squared differences of scores from the mean, a single outlier has greater impact on the size of the variance than does a single score near the mean. Some statisticians view this property as a shortcoming of variance as a measure of dispersion, especially when there is reason to doubt the reliability of some of the extreme scores. For example, a researcher might believe that a person who reports watching television an average of 24 hours per day may have misunderstood the question. Just one such extreme score might result in an appreciably larger standard deviation, especially if the sample is small. Fortunately, since all scores are used in the calculation of variance, the many non-extreme scores (those closer to the mean) will tend to offset the misleading impact of any extreme scores. The standard deviation and variance are the most commonly used measures of dispersion in the social sciences because: • Both take into account the precise difference between each score and the mean. Consequently, these measures are based on a maximum amount of information. • The standard deviation is the baseline for defining the concept of standardized score or "z-score". • Variance in a set of scores on some dependent variable is a baseline for measuring the correlation between two or more variables (the degree to which they are related). Standardized Distribution Scores, or "Z-Scores" Actual scores from a distribution are commonly known as a "raw scores." These are expressed in terms of empirical units like dollars, years, tons, etc. We might say "The
  • 13. Smith family's income is $29,418." To compare a raw score to the mean, we might say something like "The mean household income in the U.S. is $2,232 above the Smith family's income." This difference is an absolute deviation of 2,232 emirical units (dollars, in this example) from the mean. When we are given an absolute deviation from the mean, expressed in terms of empirical units, it is difficult to tell if the difference is "large" or "small" compared to other members of the data set. In the above example, are there many families that make less money than the Smith family, or only a few? We were not given enough information to decide. We get more information about deviation from the mean when we use the standard deviation measure presented earlier in this tutorial. Raw scores expressed in empirical units can be converted to "standardized" scores, called z-scores. The z-score is a measure of how many units of standard deviation the raw score is from the mean. Thus, the z-score is a relative measure instead of an absolute measure. This is because every individual in the dataset affects value for the standard deviation. Raw scores are converted to standardized z-scores by the following equations: Population z-score Sample z-score where is the population mean, is the sample mean, is the population standard deviation, s is the sample standard deviation, and x is the raw score being converted. For example, if the mean of a sample of I.Q. scores is 100 and the standard deviation is 15, then an I.Q. of 128 would correspond to: = (128 - 100) / 15 = 1.87 For the same distribution, a score of 90 would correspond to: z = (90 - 100) / 15 = - 0.67 A positive z-score indicates that the corresponding raw score is above the mean. A negative z-score represents a raw score that is below the mean. A raw score equal to the mean has a z-score of zero (it is zero standard deviations away). Z-scores allow for control across different units of measure. For example, an income that is 25,000 units above the mean might sound very high for someone accustomed to thinking in terms of U.S. dollars, but if the unit is much smaller (such as Italian Lires or Greek Drachmas), the raw score might be only slightly above average. Z-scores provide a standardized description of departures from the mean that control for differences in size of empirical units. When a dataset conforms to a "normal" distribution, each z-score corresponds exactly to known, specific percentile score. If a researcher can assume that a given empirical distribution approximates the normal distribution, then he or she can assume that the data's z-scores approximate the z-scores of the normal distribution as well. In this case, z-scores can map the raw scores to their percentile scores in the data. As an example, suppose the mean of a set of incomes is $60,200, the standard deviation is $5,500, and the distribution of the data values approximates the normal distribution. Then an income of $69,275 is calculated to have a z-score of 1.65. For a normal distribution, a z-score of 1.65 always corresponds to the 95th percentile. Thus, we can assume that $69,275 is the 95th percentile score in the empirical data, meaning that 95% of the scores lie at or below $69,275. The normal distribution is a precisly defined, theoretical distribution. Empirical distributions are not likely to conform perfectly to the normal distribution. If the data distribution is unlike the normal distribution, then z-scores do not translate to percentiles in the "normal" way. However, to the extent that an empirical distribution approximates the normal distribution, z-scores do translate to percentiles in a reliable way.
  • 14. define hypothesis-what are the nature, scope and testing of hypothesis? Answer: A tentative proposal made to explain certain observations or facts that requires further investigation to be verified. A hypothesis is a formulation of a question that lends itself to a prediction. This prediction can be verified or falsified. A question can only be use as scientific hypothesis, if their is an experimental approach or observational study that can be designed to check the outcome of a prediction. Nature of hypothesis N the various discussions of the hypothesis which have appeared in works on inductive logic and in writings on scientific method, its structure and function have received considerable attention, while its origin has been comparatively neglected. The hypothesis has generally been treated as that part of scientific procedure which marks the stage where a definite plan or method is proposed for dealing with new or unexplained facts. It is regarded as an invention for the purpose of explaining the given, as a definite conjecture which is to be tested by an appeal to experience to see whether deductions made in accordance with it will be found true in fact. The function of the hypothesis is to unify, to furnish a method of dealing with things, and its structure must be suitable to this end. It must be so formed that it will be likely to prove valid, and writers have formulated various rules to be followed in the formation of hypotheses. These rules state the main requirements of a good hypothesis, and are intended to aid in a general way by pointing out certain limits within which it must fall. In respect to the origin of the hypothesis, writers have usually contented themselves with pointing out the kind of situations in which hypotheses are likely to appear. But after this has been done, after favorable external conditions have been given, the rest must be left to "genius," for hypotheses arise as "happy guesses," for which no rule or law can be given. In fact, the genius differs from the ordinary plodding mortal in just this ability to form fruitful Hypotheses in the midst of the same facts which to other less gifted individuals remain only so many disconnected experiences. Hypothesis is to determine its nature a little more precisely through an investigation of its rather obscure origin, and to call attention to certain features of its function which have not generally been accorded their due significance. The scope hypothesis We should be surprised that language is as complicated as it is. That is to say, there is no reasonable doubt that a language with a context-free grammar, together with a transparent inductive characterization of the semantics, would have all of the expressive power of historically given natural languages, but none of the quirks or other puzzling features that we actually find when we study them. This circumstance suggests that the relations between apparent syntactic structure on the one hand and interpretation on the other --- the “interface conditions,” in popular terminology --- should be seen through the perspective of an underlying regularity of structure and interpretation that can be revealed only through extended inquiry, taking into consideration especially comparative data. Indeed, advances made especially during the past twenty-five years or so indicate that, at least over a broad domain, structures either generated from what is (more or less) apparent, or else underlying those apparent structures, display the kind of regularity in
  • 15. their interface conditions that is familiar to us from the formalized languages. The elements that I concentrate upon here are two: the triggering of relative scope (from the interpretive point of view), and the distinction between those elements that contribute to meaning through their contribution to reference and truth conditions, on the one hand, and those that do so through the information that they provide about the intentional states of the speaker or those the speaker is talking about, on the other. As will be seen, I will in part support Jaakko Hintikka’s view that the latter distinction involves scope too, but in a more derivative fashion than he has explicitly envisaged. TESTING OF HYPOTHESIS Hypothesis testing refers to the process of using statistical analysis to determine if the observed differences between two or more samples are due to random chance (as stated in the null hypothesis) or to true differences in the samples (as stated in the alternate hypothesis). A null hypothesis (H0) is a stated assumption that there is no difference in parameters (mean, variance, DPMO) for two or more populations. The alternate hypothesis (Ha) is a statement that the observed difference or relationship between two populations is real and not the result of chance or an error in sampling. Hypothesis testing is the process of using a variety of statistical tools to analyze data and, ultimately, to fail to reject or reject the null hypothesis. From a practical point of view, finding statistical evidence that the null hypothesis is false allows you to reject the null hypothesis and accept the alternate hypothesis. Hypothesis testing is the use of statistics to determine the probability that a given hypothesis is true. The usual process of hypothesis testing consists of four steps. 1. Formulate the null hypothesis (commonly, that the observations are the result of pure chance) and the alternative hypothesis (commonly, that the observations show a real effect combined with a component of chance variation). 2. Identify a test statistic that can be used to assess the truth of the null hypothesis. 3. Compute the P-value, which is the probability that a test statistic at least as significant as the one observed would be obtained assuming that the null hypothesis were true. The smaller the -value, the stronger the evidence against the null hypothesis. 4. Compare the -value to an acceptable significance value (sometimes called an alpha value). If , that the observed effect is statistically significant, the null hypothesis is ruled out, and the alternative hypothesis is valid. Flow Diagram 1 Identify the null hypothesis H0 and the alternate hypothesis HA. 2 Choose ?. The value should be small, usually less than 10%. It is important to consider the consequences of both types of errors. 3 Select the test statistic and determine its value from the sample data. This value is called the observed value of the test statistic. Remember that a t statistic is usually
  • 16. appropriate for a small number of samples; for larger number of samples, a z statistic can work well if data are normally distributed. 4 Compare the observed value of the statistic to the critical value obtained for the chosen ?. 5 Make a decision. If the test statistic falls in the critical region: Reject H0 in favour of HA. If the test statistic does not fall in the critical region: Conclude that there is not enough evidence to reject H0. Practical Example A) One tailed Test An aquaculture farm takes water from a stream and returns it after it has circulated through the fish tanks. The owner thinks that, since the water circulates rather quickly through the tanks, there is little organic matter in the effluent. To find out if this is true, he takes some samples of the water at the intake and other samples downstream the outlet, and tests for Biochemical Oxygen Demand (BOD). If BOD increases, it can be said that the effluent contains more organic matter than the stream can handle. The data for this problem are given in the following table: Table 3. BOD in the stream One tailed t-test : Upstream Downstream 6.782 9.063 5.809 8.381 6.849 8.660 6.879 8.405 7.014 9.248 7.321 8.735 5.986 9.772 6.628 8.545 6.822 8.063 6.448 8.001 1. A is the set of samples taken at the intake; and B is the set of samples taken downstream. o H0: ?B < ?A o HA: ?B > ?A 2. Choose an ?. Let us use 5% for this example. 3. The observed t value is calculated 4. The critical t value is obtained according to the degrees of freedom The resulting t test values are shown in this table:
  • 17. Table 4. t-Test : Two-Sample Assuming Equal Variances Upstream Downstream Mean 6.6539 8.6874 Variance 0.2124 0.2988 Observations 10 10 Pooled Variance 0.2556 Hypothesized Mean Difference 0 Degrees of freedom 18 t stat -8.9941 P(T The numerical value of the calculated t statistic is higher than the critical t value. We therefore reject H0 and conclude that the effluent is polluting the stream. what is a case study method? Briefly explain assumption and major steps in case study method. Answer: Case study research excels at bringing us to an understanding of a complex issue or object and can extend experience or add strength to what is already known through previous research. Case studies emphasize detailed contextual analysis of a limited number of events or conditions and their relationships. Researchers have used the case study research method for many years across a variety of disciplines. Social scientists, in particular, have made wide use of this qualitative research method to examine contemporary real-life situations and provide the basis for the application of ideas and extension of methods. Researcher Robert K. Yin defines the case study research method as an empirical inquiry that investigates a contemporary phenomenon within its real-life context; when the boundaries between phenomenon and context are not clearly evident; and in which multiple sources of evidence are used (Yin, 1984, p. 23). Critics of the case study method believe that the study of a small number of cases can offer no grounds for establishing reliability or generality of findings. Others feel that the intense exposure to study of the case biases the findings. Some dismiss case study research as useful only as an exploratory tool. Yet researchers continue to use the case study research method with success in carefully planned and crafted studies of real-life situations, issues, and problems. Reports on case studies from many disciplines are widely available in the literature. This paper explains how to use the case study method and then applies the method to an example case study project designed to examine how one set of users, non-profit organizations, make use of an electronic community network. The study examines the issue of whether or not the electronic community network is beneficial in some way to non-profit organizations and what those benefits might be. Many well-known case study researchers such as Robert E. Stake, Helen Simons, and Robert K. Yin have written about case study research and suggested techniques for organizing and conducting the research successfully. This introduction to case study research draws upon their work and proposes six steps that should be used: • Determine and define the research questions • Select the cases and determine data gathering and analysis techniques • Prepare to collect the data
  • 18. • Collect data in the field • Evaluate and analyze the data • Prepare the report Step 1. Determine and Define the Research Questions The first step in case study research is to establish a firm research focus to which the researcher can refer over the course of study of a complex phenomenon or object. The researcher establishes the focus of the study by forming questions about the situation or problem to be studied and determining a purpose for the study. The research object in a case study is often a program, an entity, a person, or a group of people. Each object is likely to be intricately connected to political, social, historical, and personal issues, providing wide ranging possibilities for questions and adding complexity to the case study. The researcher investigates the object of the case study in depth using a variety of data gathering methods to produce evidence that leads to understanding of the case and answers the research questions. Case study research generally answers one or more questions which begin with "how" or "why." The questions are targeted to a limited number of events or conditions and their inter-relationships. To assist in targeting and formulating the questions, researchers conduct a literature review. This review establishes what research has been previously conducted and leads to refined, insightful questions about the problem. Careful definition of the questions at the start pinpoints where to look for evidence and helps determine the methods of analysis to be used in the study. The literature review, definition of the purpose of the case study, and early determination of the potential audience for the final report guide how the study will be designed, conducted, and publicly reported. Step 2. Select the Cases and Determine Data Gathering and Analysis Techniques During the design phase of case study research, the researcher determines what approaches to use in selecting single or multiple real-life cases to examine in depth and which instruments and data gathering approaches to use. When using multiple cases, each case is treated as a single case. Each case?s conclusions can then be used as information contributing to the whole study, but each case remains a single case. Exemplary case studies carefully select cases and carefully examine the choices available from among many research tools available in order to increase the validity of the study. Careful discrimination at the point of selection also helps erect boundaries around the case. The researcher must determine whether to study cases which are unique in some way or cases which are considered typical and may also select cases to represent a variety of geographic regions, a variety of size parameters, or other parameters. A useful step in the selection process is to repeatedly refer back to the purpose of the study in order to focus attention on where to look for cases and evidence that will satisfy the purpose of the study and answer the research questions posed. Selecting multiple or single cases is a key element, but a case study can include more than one unit of embedded analysis. For example, a case study may involve study of a single industry and a firm participating in that industry. This type of case study involves two levels of analysis and increases the complexity and amount of
  • 19. data to be gathered and analyzed. A key strength of the case study method involves using multiple sources and techniques in the data gathering process. The researcher determines in advance what evidence to gather and what analysis techniques to use with the data to answer the research questions. Data gathered is normally largely qualitative, but it may also be quantitative. Tools to collect data can include surveys, interviews, documentation review, observation, and even the collection of physical artifacts. The researcher must use the designated data gathering tools systematically and properly in collecting the evidence. Throughout the design phase, researchers must ensure that the study is well constructed to ensure construct validity, internal validity, external validity, and reliability. Construct validity requires the researcher to use the correct measures for the concepts being studied. Internal validity (especially important with explanatory or causal studies) demonstrates that certain conditions lead to other conditions and requires the use of multiple pieces of evidence from multiple sources to uncover convergent lines of inquiry. The researcher strives to establish a chain of evidence forward and backward. External validity reflects whether or not findings are generalizable beyond the immediate case or cases; the more variations in places, people, and procedures a case study can withstand and still yield the same findings, the more external validity. Techniques such as cross-case examination and within-case examination along with literature review helps ensure external validity. Reliability refers to the stability, accuracy, and precision of measurement. Exemplary case study design ensures that the procedures used are well documented and can be repeated with the same results over and over again. Step 3. Prepare to Collect the Data Because case study research generates a large amount of data from multiple sources, systematic organization of the data is important to prevent the researcher from becoming overwhelmed by the amount of data and to prevent the researcher from losing sight of the original research purpose and questions. Advance preparation assists in handling large amounts of data in a documented and systematic fashion. Researchers prepare databases to assist with categorizing, sorting, storing, and retrieving data for analysis. Exemplary case studies prepare good training programs for investigators, establish clear protocols and procedures in advance of investigator field work, and conduct a pilot study in advance of moving into the field in order to remove obvious barriers and problems. The investigator training program covers the basic concepts of the study, terminology, processes, and methods, and teaches investigators how to properly apply the techniques being used in the study. The program also trains investigators to understand how the gathering of data using multiple techniques strengthens the study by providing opportunities for triangulation during the analysis phase of the study. The program covers protocols for case study research, including time deadlines, formats for narrative reporting and field notes, guidelines for collection of documents, and guidelines for field procedures to be used. Investigators need to be good listeners who can hear exactly the words being used by those interviewed. Qualifications for investigators also include being able to ask good questions and interpret answers. Good investigators review documents looking for facts, but also read between the lines and pursue collaborative evidence elsewhere when that seems appropriate. Investigators need to be flexible in real-life situations and not feel threatened by unexpected change, missed appointments, or lack of office space. Investigators need to understand the purpose of the study and grasp the issues and must be open to contrary findings.
  • 20. Investigators must also be aware that they are going into the world of real human beings who may be threatened or unsure of what the case study will bring. After investigators are trained, the final advance preparation step is to select a pilot site and conduct a pilot test using each data gathering method so that problematic areas can be uncovered and corrected. Researchers need to anticipate key problems and events, identify key people, prepare letters of introduction, establish rules for confidentiality, and actively seek opportunities to revisit and revise the research design in order to address and add to the original set of research questions. 4. Collect Data in the Field The researcher must collect and store multiple sources of evidence comprehensively and systematically, in formats that can be referenced and sorted so that converging lines of inquiry and patterns can be uncovered. Researchers carefully observe the object of the case study and identify causal factors associated with the observed phenomenon. Renegotiation of arrangements with the objects of the study or addition of questions to interviews may be necessary as the study progresses. Case study research is flexible, but when changes are made, they are documented systematically. Exemplary case studies use field notes and databases to categorize and reference data so that it is readily available for subsequent reinterpretation. Field notes record feelings and intuitive hunches, pose questions, and document the work in progress. They record testimonies, stories, and illustrations which can be used in later reports. They may warn of impending bias because of the detailed exposure of the client to special attention, or give an early signal that a pattern is emerging. They assist in determining whether or not the inquiry needs to be reformulated or redefined based on what is being observed. Field notes should be kept separate from the data being collected and stored for analysis. Maintaining the relationship between the issue and the evidence is mandatory. The researcher may enter some data into a database and physically store other data, but the researcher documents, classifies, and cross-references all evidence so that it can be efficiently recalled for sorting and examination over the course of the study. Step 5. Evaluate and Analyze the Data The researcher examines raw data using many interpretations in order to find linkages between the research object and the outcomes with reference to the original research questions. Throughout the evaluation and analysis process, the researcher remains open to new opportunities and insights. The case study method, with its use of multiple data collection methods and analysis techniques, provides researchers with opportunities to triangulate data in order to strengthen the research findings and conclusions. The tactics used in analysis force researchers to move beyond initial impressions to improve the likelihood of accurate and reliable findings. Exemplary case studies will deliberately sort the data in many different ways to expose or create new insights and will deliberately look for conflicting data to disconfirm the analysis. Researchers categorize, tabulate, and recombine data to address the initial propositions or purpose of the study, and conduct cross-checks of facts and discrepancies in accounts. Focused, short, repeat interviews may be necessary to gather additional data to verify key observations or check a fact. Specific techniques include placing information into arrays, creating matrices of categories, creating flow charts or other displays, and tabulating frequency of events. Researchers use the quantitative data that has been collected to corroborate and support the qualitative data which is most useful for
  • 21. understanding the rationale or theory underlying relationships. Another technique is to use multiple investigators to gain the advantage provided when a variety of perspectives and insights examine the data and the patterns. When the multiple observations converge, confidence in the findings increases. Conflicting perceptions, on the other hand, cause the researchers to pry more deeply. Another technique, the cross-case search for patterns, keeps investigators from reaching premature conclusions by requiring that investigators look at the data in many different ways. Cross-case analysis divides the data by type across all cases investigated. One researcher then examines the data of that type thoroughly. When a pattern from one data type is corroborated by the evidence from another, the finding is stronger. When evidence conflicts, deeper probing of the differences is necessary to identify the cause or source of conflict. In all cases, the researcher treats the evidence fairly to produce analytic conclusions answering the original "how" and "why" research questions. Step 6. Prepare the report Exemplary case studies report the data in a way that transforms a complex issue into one that can be understood, allowing the reader to question and examine the study and reach an understanding independent of the researcher. The goal of the written report is to portray a complex problem in a way that conveys a vicarious experience to the reader. Case studies present data in very publicly accessible ways and may lead the reader to apply the experience in his or her own real-life situation. Researchers pay particular attention to displaying sufficient evidence to gain the reader?s confidence that all avenues have been explored, clearly communicating the boundaries of the case, and giving special attention to conflicting propositions. Techniques for composing the report can include handling each case as a separate chapter or treating the case as a chronological recounting. Some researchers report the case study as a story. During the report preparation process, researchers critically examine the document looking for ways the report is incomplete. The researcher uses representative audience groups to review and comment on the draft document. Based on the comments, the researcher rewrites and makes revisions. Some case study researchers suggest that the document review audience include a journalist and some suggest that the documents should be reviewed by the participants in the study. Case studies are complex because they generally involve multiple sources of data, may include multiple cases within a study, and produce large amounts of data for analysis. Researchers from many disciplines use the case study method to build upon theory, to produce new theory, to dispute or challenge theory, to explain a situation, to provide a basis to apply solutions to situations, to explore, or to describe an object or phenomenon. The advantages of the case study method are its applicability to real-life, contemporary, human situations and its public accessibility through written reports. Case study results relate directly to the common reader’s everyday experience and facilitate an understanding of complex real-life situations. ASSUMPTION OF CASE STUDY METHOD The case study method is based on several assumptions. The importance assumptions are explained below
  • 22. Uniformity of human nature The assumption of uniformity in the basic human nature in spite of the fact that human behavior may vary according to situations. This assumption underlines the collection of case data. Nature history of the unit The assumption of studying the natural history of the unit concerned. It gives the background for the study Comprehensive study The assumption of comprehensive study of the unit concerned Applicability Psychologist has stated that some statement about human broadly apply to each individual or to each member of a large group. Homogeneity According to cora dubois,an antraopologist, the case study is possible only because of certain basic homogeneity or similarity in evidenced in the mankind. Major steps of case study method: I. Identify the case topic, setting, primary focus, and perspective. II. Obtain relevant public background materials and knowledgeable informant insights. III. Obtain access, approval, and clarify anonymity issues with key gatekeeper. IV. Obtain relevant documents, minutes, reports and other appropriate materials. V. Develop preliminary chronology of key events leading to controversy or decision and identify key players and issues. VI. Consider varied perspective and sources of information and pedagogical purpose of the case. VII. Develop interview protocol (key questions for various informants) and further information to collect. This will evolve further. VIII. Conduct interviews and collect other documents, information and materials.
  • 23. IX. Develop case outline and style of presentation. X. Draft case. Obtain comment and feedback from key gatekeeper (and other students). Revise and finalize the case Documentation: The documentary sources are important sources of information for a researcher. A document is anything in writing – a record, files or diaries, published or unpublished-which can be extracted and used in research. It is very valuable source of information for research either in management or in social science. it may comprises office files, business and legal papers, biographies, official and unofficial records, letters, proceedings of any courts ,committees, societies, assemblies and parliaments, enactments, constitution, reports of surveys or research of commissions, official statistics, newspapers editorials, special articles, company news, cases or company directors reports etc. documentation is the process of collecting and extracting the documents which relevant research. Documents may be classified into 1) Personal documents: personal documents are those are written by or on behalf of individuals. They may include autobiographical, biographies diaries memories letters observations and inscriptions, which are primarily written for the use and satisfaction of individuals and which can be utilized for research purposes. Personal documents play a very vital role in research. 2) Company documents 3) Consultants report and published materials and 4) Public documents b) sources and tabulations It is the process of condensation of the data for convenience, in statistical processing, presentation and interpretation of the information. A good table is one which has the following requirements : 1. It should present the data clearly, highlighting important details. 2. It should save space but attractively designed. 3. The table number and title of the table should be given.+ 4. Row and column headings must explain the figures therein. 5. Averages or percentages should be close to the data.
  • 24. 6. Units of the measurement should be clearly stated along the titles or headings. 7. Abbreviations and symbols should be avoided as far as possible. 8. Sources of the data should be given at the bottom of the data. 9. In case irregularities creep in table or any feature is not sufficiently explained, references and foot notes must be given. 10. The rounding of figures should be unbiased. "Classified and arranged facts speak of themselves, and narrated they are as dead as mutton" This quote is given by J.R. Hicks. The process of dividing the data into different groups ( viz. classes) which are homogeneous within but heterogeneous between themselves, is called a classification. It helps in understanding the salient features of the data and also the comparison with similar data. For a final analysis it is the best friend of a statistician. c) Classification and tabulation The data is classified in the following ways : 1. According to attributes or qualities this is divided into two parts : (A) Simple classification (B) Multiple classification. 2. According to variable or quantity or classification according to class intervals. - Qualitative Classification : When facts are grouped according to the qualities (attributes) like religion, literacy, business etc., the classification is called as qualitative classification. (A) Simple Classification : It is also known as classification according to Dichotomy. When data (facts) are divided into groups according to their qualities, the classification is called as 'Simple Classification'. Qualities are denoted by capital letters (A, B, C, D ......) while the absence of these qualities are denoted by lower case letters (a, b, c, d, .... etc.) (B) Manifold or multiple classification : In this method data is classified using one or more qualities. First, the data is divided into two groups (classes) using one of the qualities. Then using the remaining qualities, the data is divided into different subgroups. For example, the population of a country is classified using three attributes: sex, literacy and business Classification according to class intervals or variables : The data which is expressed in numbers (quantitative data), is classified according to class-intervals. While forming class-intervals one should bear in mind that each and every item must be covered. After finding the least value of an item and the highest value of an item, classify these items
  • 25. into different class-intervals. For example if in any data the age of 100 persons ranging from 2 years to 47 years In deciding on the grouping of the data into classes, for the purpose of reducing it to a manageable form, we observe that the number of classes should not be too large. If it were so then the object of summarization would be defeated. The number of classes should also not be too small because then we will miss a great deal of detail available and get a distorted picture. As a rule one should have between 10 and 25 classes, the actual number depending on the total frequency. Further, classes should be exhaustive; they should not be overlapping, so that no observed value falls in more than one class. Apart from exceptions, all classes should have the same length. f) Scope of managerial research: Management Research (MR) is an international journal dedicated to advancing the understanding of management in private and public sector organizations through empirical investigation and theoretical analysis. MR attempts to provide an international dialogue between researchers and thereby improve the understanding of the nature of management in different settings and, consequently, achieve a reasonable transfer of research results to management practice in several contexts. MR is especially dedicated to foster the general advancement of management scholarship among iberoamerican scholars and/or those academics interested in iberoamerican issues. Iberoamerica is defined broadly to include all of Latin America, Latino populations in North America, and Spain/Portugal. However, submissions are encouraged from all management scholars regardless of ethnicity or national origin and manuscripts should not be limited to themes dealing with iberoamerican populations. MR is a multidisciplinary outlet open to contributions of high quality, from any perspective relevant to the field and from any country. MR intends to become a supranational journal which gives special attention to national and cultural similarities and differences world-wide. This is reflected by its international editorial board and publisher and its sponsorship by the Iberoamerican Academy of Management. MR is open to a variety of perspectives, including those that seek to improve the effectiveness of, as well, as those critical of, management and organizations. MR is receptive to research across a broad range of management topics such as human resource management, organizational behavior, organization theory, strategic management, corporate governance, and managerial economics. The management and organization contributions present in MR articles can also be grounded in the basic social disciplines of economics, psychology, or sociology. Articles can be empirical, theoretical or measurement oriented. Conceptual articles should provide new theoretical insights that can advance our understanding of management and organizations. Empirical articles should have well-articulated and strong theoretical foundations. All types of empirical methods -quantitative, qualitative or combinations-are acceptable. MR encourages the interplay between theorizing the empirical research in the belief that they should be mutually informative. MR is especially interested in new data sources. That includes models that test new theory and expand our sample pools by including alternative approaches to sampling and measurement and samples drawn from non-traditional sources (e.g., from iberoamerican firms), and the examination of the validity and reliability of such samples. MR publishes only original research as articles or research notes. Manuscripts will be considered for publication with the understanding that their contents are not under consideration for publication elsewhere. Prior
  • 26. presentation at conference or concurrent consideration for presentation at a conference does not disqualify a manuscript from consideration by MR.