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Selecting samples
Compiled by:
Dr. Mohammad Shamsu Uddin (Farhad)
Assistant Professor
Email: msuddun@iut-dhaka.edu
Cell no. +8801919386831
The need to select samples in business and
management research
■ Census Vs Sample
■ Population (need not necessarily be
people)
■ it is important that our sample is
sufficiently large to allow such statistical
inferences to be made with an acceptable
margin of error
■ Sampling provides a valid alternative to a census
when: • it would be impracticable for you to
survey the entire population; • your budget
constraints prevent you from surveying the
entire population; • your time constraints
prevent you from surveying the entire
population
Sampling
Probability or representative sampling
With probability samples the chance, or
probability, of each case being selected from the
target population is known and is usually equal for
all cases. The process of probability sampling can
be divided into four stages:
1. Identify a suitable sampling frame based on
your research question(s) and objectives.
2. Decide on a suitable sample size.
3. Select the most appropriate sampling technique
and select the sample.
4. Check that the sample is representative of the
target population.
Sampling frame
The sampling frame for any probability
sample is a complete list of all the cases in
the target population from which your
sample will be drawn. Without a sampling
frame, you will not be able to select a
probability sample and so will have to
consider using non-probability sampling.
If your research question or objective
is concerned with members of a student
society, your sampling frame will be the
complete member ship list for that society.
Identifying a suitable sampling frame (a
complete list of all the cases)
❑ Are cases listed in the sampling frame relevant
to your research topic, in other words does your
target population enable you to answer your
research question and meet your objectives?
❑ How recently was the sampling frame compiled;
is it up to date?
❑ Does the sampling frame include all cases in the
target population; is it complete?
❑ Does the sampling frame contain the correct
information; is it accurate?
❑ Does the sampling frame exclude irrelevant
cases; is it precise?
❑ For purchased lists, can you establish and
control precisely how the sample will be
Deciding on a suitable sample size
■ The confidence you need to have in your data – that
is, the level of certainty that the characteristics of the
data collected will represent the characteristics of the
target population;
■ The margin of error that you can tolerate – that is,
the accuracy you require for any estimates made from
your sample;
■ The types of analyses you are going to undertake –
in particular, the number of categories into which you
wish to subdivide your data, as many statistical
techniques have a minimum threshold of data cases
(e.g. chi square, Section 12.5 ); and, to a lesser
extent
■ The size of the target population from which your
sample is being drawn.
The importance of a high response rate
Four levels of non-response:
❑ Complete refusal: none of the questions
answered
❑ Break-off: less than 50 per cent of all questions
answered other than by a refusal or no answer
(this therefore includes complete refusal)
❑ Partial response: 50 per cent to 80 per cent of
all questions answered other than by a refusal or
no answer
❑ complete response : over 80 per cent of all
questions answered other than by a refusal or no
answer
Non-response is due to four interrelated
problems:
■ Refusal to respond
■ Ineligibility to respond
■ Inability to locate respondent
■ Respondent located but unable to
make contact.
Response rate
As part of your research report, you will need to
include your response rate . Neuman (2014)
suggests that when you calculate this you should
include all eligible respondents:
Active response rate :
Calculation of total and active response rates
Ming had decided to collect data from people who had left his
company’s employment over the past five years by using a
telephone questionnaire. He obtained a list of the 1,034
people who had left over this period (the total population)
and selected a 50 per cent sample. Unfortunately, he could
obtain current telephone numbers for only 311 of the 517
ex-employees who made up his total sample. Of these 311
people who were potentially reachable, he obtained a
response from 147. In addition, his list of people who had
left his company was inaccurate, and nine of those he
contacted were ineligible to respond, having left the
company over five years earlier.
Calculation of actual sample size
Jan was a part-time student employed by a large
manufacturing company. He had decided to send a
questionnaire to the company’s customers and calculated
that an adjusted minimum sample size of 439 was required.
From previous questionnaires that his company had used to
collect data from customers, Jan knew the likely response
rate would be approximately 30 per cent. Using these data
he could calculate his actual sample size:
Reporting questionnaire response rates
• Number of respondents to whom the questionnaire
was sent
• How the questionnaire was distributed
• Whether prior consent was obtained from
respondents
• The number of questionnaires returned
• of those returned, the numbers that were useable
• Reasons (if known) for questionnaires not being
useable
• Where different populations received a questionnaire,
differences (if any) in response rates
• Techniques (if any) used to increase response rates
• Where response rates differ from likely norms,
possible reasons for this.
Simple random sampling
Simple random sampling (sometimes called just
random sampling ) involves you selecting the
sample at random from the sampling frame using
a spreadsheet’s random number generator
function or random number tables. To do this you:
1 Number each of the cases in your sampling
frame with a unique number. The first case is
numbered 1, the second 2 and so on.
2 Select cases using random numbers such as
those generated by a spreadsheet until your actual
sample size is reached.
Systematic random sampling
Systematic random sampling (often called just
systematic sampling) involves you selecting the
sample at regular intervals from the sampling
frame. To do this you:
1. Number each of the cases in your sampling
frame with a unique number.
2. Select the first case using a random number.
3. Calculate the sampling fraction.
4. Select subsequent cases systematically using
the sampling fraction to determine the frequency
of selection.
Stratified random sampling
1. Choose the stratification variable or
variables.
2 Divide the sampling frame into the
discrete strata.
3 Number each of the cases within each
stratum with a unique number, as
discussed earlier.
4 Select your sample using either simple
random or systematic random sampling, as
discussed earlier.
Cluster sampling
1. Choose the cluster grouping for
your sampling frame.
2. Number each of the clusters with a
unique number. The first cluster is
numbered 1, the second 2 and so on.
3. Select your sample of clusters
using some form of random sampling,
as discussed earlier.
Checking that the sample is representative??
❑ Compare data you collect from your
sample with data from another source for
the population, such as data contained in
an ‘archival’ database.
❑ When working within an organization,
compare the organization's Human
Resources (HR) database.
Non-probability sampling
The techniques (probability) for selecting samples
discussed earlier have all been based on the
assumption that your sample will be chosen at
random from a sampling frame. Consequently, it is
possible to specify the probability that any case
will be included in the sample.
However, within business and management
research, this may either not be possible (where
you do not have a sampling frame) or not be
appropriate to answering your research question.
This means your sample must be selected some
other way. Non-probability sampling (or non-
random sampling) provides a range of alternative
techniques to select samples, the majority of
which include an element of subjective judgement
Deciding on a suitable sample size
■ Data saturation
Quota sampling
1. Divide the population into specific groups.
2. Calculate a quota for each group based on
relevant and available data.
3. Either:
a. (for Internet questionnaires) contract an online
panel company specifying the number of cases in
each quota from which completed questionnaires
must be obtained; or
b. (for interviewer completed questionnaires)
ensure that where multiple interviewers are used
each interviewer has an ‘assignment’, which states
the number of cases in each quota from which
they must collect data.
4 Where necessary, combine the data collected to
provide the full sample.
Purposive sampling
With purposive sampling you need to use
your judgement to select cases that will
best enable you to answer your research
question(s) and to meet your objectives.
For this reason it is sometimes known as
judgmental sampling
Extreme case or deviant sampling
Heterogeneous or maximum variation sampling
homogeneous sampling
Typical case sampling Opportunistic sampling
Theoretical sampling Critical case sampling
Politically important sampling
Volunteer sampling
Snowball sampling is the first of two techniques
we look at where participants volunteer to be part
of the research rather than being chosen. It is
used commonly when it is difficult to identify
members of the desired population; for example,
people who are working while claiming
unemployment benefit.
Respondent driven sampling (RDS)
Self-selection sampling
Haphazard sampling
■ Haphazard sampling occurs when sample cases
are selected without any obvious principles of
organisation in relation to your research
question, the most common form being
convenience sampling (also known as availability
sampling ).
■ Multi-stage sampling

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5. Selecting samples.pdf

  • 1. Selecting samples Compiled by: Dr. Mohammad Shamsu Uddin (Farhad) Assistant Professor Email: msuddun@iut-dhaka.edu Cell no. +8801919386831
  • 2. The need to select samples in business and management research ■ Census Vs Sample ■ Population (need not necessarily be people) ■ it is important that our sample is sufficiently large to allow such statistical inferences to be made with an acceptable margin of error ■ Sampling provides a valid alternative to a census when: • it would be impracticable for you to survey the entire population; • your budget constraints prevent you from surveying the entire population; • your time constraints prevent you from surveying the entire population
  • 3.
  • 5. Probability or representative sampling With probability samples the chance, or probability, of each case being selected from the target population is known and is usually equal for all cases. The process of probability sampling can be divided into four stages: 1. Identify a suitable sampling frame based on your research question(s) and objectives. 2. Decide on a suitable sample size. 3. Select the most appropriate sampling technique and select the sample. 4. Check that the sample is representative of the target population.
  • 6. Sampling frame The sampling frame for any probability sample is a complete list of all the cases in the target population from which your sample will be drawn. Without a sampling frame, you will not be able to select a probability sample and so will have to consider using non-probability sampling. If your research question or objective is concerned with members of a student society, your sampling frame will be the complete member ship list for that society.
  • 7. Identifying a suitable sampling frame (a complete list of all the cases) ❑ Are cases listed in the sampling frame relevant to your research topic, in other words does your target population enable you to answer your research question and meet your objectives? ❑ How recently was the sampling frame compiled; is it up to date? ❑ Does the sampling frame include all cases in the target population; is it complete? ❑ Does the sampling frame contain the correct information; is it accurate? ❑ Does the sampling frame exclude irrelevant cases; is it precise? ❑ For purchased lists, can you establish and control precisely how the sample will be
  • 8. Deciding on a suitable sample size ■ The confidence you need to have in your data – that is, the level of certainty that the characteristics of the data collected will represent the characteristics of the target population; ■ The margin of error that you can tolerate – that is, the accuracy you require for any estimates made from your sample; ■ The types of analyses you are going to undertake – in particular, the number of categories into which you wish to subdivide your data, as many statistical techniques have a minimum threshold of data cases (e.g. chi square, Section 12.5 ); and, to a lesser extent ■ The size of the target population from which your sample is being drawn.
  • 9. The importance of a high response rate Four levels of non-response: ❑ Complete refusal: none of the questions answered ❑ Break-off: less than 50 per cent of all questions answered other than by a refusal or no answer (this therefore includes complete refusal) ❑ Partial response: 50 per cent to 80 per cent of all questions answered other than by a refusal or no answer ❑ complete response : over 80 per cent of all questions answered other than by a refusal or no answer
  • 10. Non-response is due to four interrelated problems: ■ Refusal to respond ■ Ineligibility to respond ■ Inability to locate respondent ■ Respondent located but unable to make contact.
  • 11. Response rate As part of your research report, you will need to include your response rate . Neuman (2014) suggests that when you calculate this you should include all eligible respondents: Active response rate :
  • 12. Calculation of total and active response rates Ming had decided to collect data from people who had left his company’s employment over the past five years by using a telephone questionnaire. He obtained a list of the 1,034 people who had left over this period (the total population) and selected a 50 per cent sample. Unfortunately, he could obtain current telephone numbers for only 311 of the 517 ex-employees who made up his total sample. Of these 311 people who were potentially reachable, he obtained a response from 147. In addition, his list of people who had left his company was inaccurate, and nine of those he contacted were ineligible to respond, having left the company over five years earlier.
  • 13. Calculation of actual sample size Jan was a part-time student employed by a large manufacturing company. He had decided to send a questionnaire to the company’s customers and calculated that an adjusted minimum sample size of 439 was required. From previous questionnaires that his company had used to collect data from customers, Jan knew the likely response rate would be approximately 30 per cent. Using these data he could calculate his actual sample size:
  • 14. Reporting questionnaire response rates • Number of respondents to whom the questionnaire was sent • How the questionnaire was distributed • Whether prior consent was obtained from respondents • The number of questionnaires returned • of those returned, the numbers that were useable • Reasons (if known) for questionnaires not being useable • Where different populations received a questionnaire, differences (if any) in response rates • Techniques (if any) used to increase response rates • Where response rates differ from likely norms, possible reasons for this.
  • 15.
  • 16. Simple random sampling Simple random sampling (sometimes called just random sampling ) involves you selecting the sample at random from the sampling frame using a spreadsheet’s random number generator function or random number tables. To do this you: 1 Number each of the cases in your sampling frame with a unique number. The first case is numbered 1, the second 2 and so on. 2 Select cases using random numbers such as those generated by a spreadsheet until your actual sample size is reached.
  • 17. Systematic random sampling Systematic random sampling (often called just systematic sampling) involves you selecting the sample at regular intervals from the sampling frame. To do this you: 1. Number each of the cases in your sampling frame with a unique number. 2. Select the first case using a random number. 3. Calculate the sampling fraction. 4. Select subsequent cases systematically using the sampling fraction to determine the frequency of selection.
  • 18. Stratified random sampling 1. Choose the stratification variable or variables. 2 Divide the sampling frame into the discrete strata. 3 Number each of the cases within each stratum with a unique number, as discussed earlier. 4 Select your sample using either simple random or systematic random sampling, as discussed earlier.
  • 19. Cluster sampling 1. Choose the cluster grouping for your sampling frame. 2. Number each of the clusters with a unique number. The first cluster is numbered 1, the second 2 and so on. 3. Select your sample of clusters using some form of random sampling, as discussed earlier.
  • 20. Checking that the sample is representative?? ❑ Compare data you collect from your sample with data from another source for the population, such as data contained in an ‘archival’ database. ❑ When working within an organization, compare the organization's Human Resources (HR) database.
  • 21. Non-probability sampling The techniques (probability) for selecting samples discussed earlier have all been based on the assumption that your sample will be chosen at random from a sampling frame. Consequently, it is possible to specify the probability that any case will be included in the sample. However, within business and management research, this may either not be possible (where you do not have a sampling frame) or not be appropriate to answering your research question. This means your sample must be selected some other way. Non-probability sampling (or non- random sampling) provides a range of alternative techniques to select samples, the majority of which include an element of subjective judgement
  • 22. Deciding on a suitable sample size ■ Data saturation
  • 23. Quota sampling 1. Divide the population into specific groups. 2. Calculate a quota for each group based on relevant and available data. 3. Either: a. (for Internet questionnaires) contract an online panel company specifying the number of cases in each quota from which completed questionnaires must be obtained; or b. (for interviewer completed questionnaires) ensure that where multiple interviewers are used each interviewer has an ‘assignment’, which states the number of cases in each quota from which they must collect data. 4 Where necessary, combine the data collected to provide the full sample.
  • 24. Purposive sampling With purposive sampling you need to use your judgement to select cases that will best enable you to answer your research question(s) and to meet your objectives. For this reason it is sometimes known as judgmental sampling Extreme case or deviant sampling Heterogeneous or maximum variation sampling homogeneous sampling Typical case sampling Opportunistic sampling Theoretical sampling Critical case sampling Politically important sampling
  • 25. Volunteer sampling Snowball sampling is the first of two techniques we look at where participants volunteer to be part of the research rather than being chosen. It is used commonly when it is difficult to identify members of the desired population; for example, people who are working while claiming unemployment benefit. Respondent driven sampling (RDS) Self-selection sampling
  • 26. Haphazard sampling ■ Haphazard sampling occurs when sample cases are selected without any obvious principles of organisation in relation to your research question, the most common form being convenience sampling (also known as availability sampling ). ■ Multi-stage sampling