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Unit 2 & 3
Data Collection
Sampling
Measurement Concept
Questionnaire Designing-Types
Goals
After completing this chapter, you should be
able to:
īŽ Describe key data collection methods
īŽ Know key definitions:
ī‚¨Population vs. Sample ī‚¨Primary vs. Secondary data types
ī‚¨Qualitative vs. Qualitative data ī‚¨Time Series vs. Cross-Sectional data
īŽ Explain the difference between descriptive and
inferential statistics
īŽ Describe different sampling methods & Experiments
īŽ Descriptive statistics
īŽ Collecting, presenting, and describing data
īŽ Inferential statistics
īŽ Drawing conclusions and/or making decisions
concerning a population based only on
sample data
Tools of Business Statistics
Descriptive Statistics
īŽ Collect data
īŽ e.g. Survey, Observation,
Experiments
īŽ Present data
īŽ e.g. Charts and graphs
īŽ Characterize data
īŽ e.g. Sample mean =
n
xiīƒĨ
Data Sources
Primary
Data Collection
Secondary
Data Compilation
Observation
Experimentation
Survey
Print or Electronic
Data Sources
Primary
Data Collection
Secondary
Data Compilation
Observation
Experimentation
Survey
Print or Electronic
Survey Design Steps
īŽ Define the issue
īŽ what are the purpose and objectives of the survey?
īŽ Define the population of interest
īŽ Formulate survey questions
īŽ make questions clear and unambiguous
īŽ use universally-accepted definitions
īŽ limit the number of questions
Survey Design Steps
īŽ Pre-test the survey
īŽ pilot test with a small group of participants
īŽ assess clarity and length
īŽ Determine the sample size and sampling
method
īŽ Select Sample and administer the survey
(continued)
Types of Questions
īŽ Closed-end Questions
īŽ Select from a short list of defined choices
Example: Major: __business __liberal arts
__science __other
īŽ Open-end Questions
īŽ Respondents are free to respond with any value, words, or
statement
Example: What did you like best about this course?
īŽ Demographic Questions
īŽ Questions about the respondents’ personal characteristics
Example: Gender: __Female __ Male
īŽ A Population is the set of all items or individuals
of interest
īŽ Examples: All likely voters in the next election
All parts produced today
All sales receipts for November
īŽ A Sample is a subset of the population
īŽ Examples: 1000 voters selected at random for interview
A few parts selected for destructive testing
Every 100th receipt selected for audit
Populations and Samples
Population vs. Sample
a b c d
ef gh i jk l m n
o p q rs t u v w
x y z
Population Sample
b c
g i n
o r u
y
Why Sample?
īŽ Less time consuming than a census
īŽ Less costly to administer than a census
īŽ It is possible to obtain statistical results of a
sufficiently high precision based on samples.
Sampling Techniques
Convenience
Samples
Non-Probability
Samples
Judgement
Probability Samples
Simple
Random
Systematic
Stratified
Cluster
Statistical Sampling
īŽ Items of the sample are chosen based on
known or calculable probabilities
Probability Samples
Simple
Random
SystematicStratified Cluster
Simple Random Samples
īŽ Every individual or item from the population has
an equal chance of being selected
īŽ Selection may be with replacement or without
replacement
īŽ Samples can be obtained from a table of
random numbers or computer random number
generators
Stratified Samples
īŽ Population divided into subgroups (called strata)
according to some common characteristic
īŽ Simple random sample selected from each
subgroup
īŽ Samples from subgroups are combined into one
Population
Divided
into 4
strata
Sample
īŽ Decide on sample size: n
īŽ Divide frame of N individuals into groups of k
individuals: k=N/n
īŽ Randomly select one individual from the 1st
group
īŽ Select every kth individual thereafter
Systematic Samples
N = 64
n = 8
k = 8
First Group
Cluster Samples
īŽ Population is divided into several “clusters,”
each representative of the population
īŽ A simple random sample of clusters is selected
īŽ All items in the selected clusters can be used, or items can be
chosen from a cluster using another probability sampling
technique
Population
divided into
16 clusters. Randomly selected
clusters for sample
Data Collection
Data
Qualitative
(Categorical)
Quantitative
(Numerical)
Discrete Continuous
Examples:
īŽ Marital Status
īŽ Political Party
īŽ Eye Color
(Defined categories) Examples:
īŽ Number of Children
īŽ Defects per hour
(Counted items)
Examples:
īŽ Weight
īŽ Voltage
(Measured
characteristics)
Data Types
Data
Qualitative
(Categorical)
Quantitative
(Numerical)
Discrete Continuous
Examples:
īŽ Marital Status
īŽ Political Party
īŽ Eye Color
(Defined categories) Examples:
īŽ Number of Children
īŽ Defects per hour
(Counted items)
Examples:
īŽ Weight
īŽ Voltage
(Measured
characteristics)
Data Types
īŽ Time Series Data
īŽ Ordered data values observed over time
īŽ Cross Section Data
īŽ Data values observed at a fixed point in time
Data Types
Sales (in $1000’s)
2003 2004 2005 2006
Atlanta 435 460 475 490
Boston 320 345 375 395
Cleveland 405 390 410 395
Denver 260 270 285 280
Time
Series
Data
Cross Section
Data
Data Measurement Levels
Ratio/Interval Data
Ordinal Data
Nominal Data
Highest Level
Complete Analysis
Higher Level
Mid-level Analysis
Lowest Level
Basic Analysis
Categorical Codes
ID Numbers
Category Names
Rankings
Ordered Categories
Measurements
Randomization of Subjects
īŽ Randomization: the use of chance to divide
experimental units into groups
Experiment Vocabulary
īŽ Experimental units
īŽ Individuals on which the experiment is done
īŽ Subjects
īŽ Experimental units that are human
īŽ Treatment
īŽ Specific experimental condition applied to the units
īŽ Factors
īŽ Explanatory variables in an experiment
īŽ Level
īŽ Specific value of a factor
Example of an Experiment
īŽ Does regularly taking aspirin help protect people
against heart attacks?
īŽ Subjects: 21,996 male physicians
īŽ Factors
īŽ Aspirin (2 levels: yes and no)
īŽ Beta carotene (2 levels: yes and no)
īŽ Treatments
īŽ Combination of the 2 factor levels (4 total)
īŽ Conclusion
īŽ Aspirin does reduce heart attacks, but beta carotene has no
effect.
Block designs
īŽ Random assignment of units to treatments is carried out separately
within each block (Group of experimental units or subjects that are
known before the experiment to be similar in some way that is
expected to affect the response to the treatments)
īŽ Making statements about a population by
examining sample results
Sample statistics Population parameters
(known) Inference (unknown, but can
be estimated from
sample evidence)
Sample
Population
Inferential Statistics
Key Definitions
īŽ A population is the entire collection of things
under consideration
īŽ A parameter is a summary measure computed to
describe a characteristic of the population
īŽ A sample is a portion of the population
selected for analysis
īŽ A statistic is a summary measure computed to
describe a characteristic of the sample
Statistical Inference Terms
īŽ A parameter is a number that describes the
population.
īŽ Fixed number which we don’t know in practice
īŽ A statistic is a number that describes a sample.
īŽ Value is known when we have taken a sample
īŽ It can change from sample to sample
īŽ Often used to estimate an unknown parameter
Statistical Significance
īŽ An observed effect (i.e., a statistic) so large that
it would rarely occur by chance is called
statistically significant.
īŽ The difference in the responses (another
statistic) is so large that it is unlikely to happen
just because of chance variation.
Inferential Statistics
īŽ Estimation
īŽ e.g.: Estimate the population mean
weight using the sample mean
weight
īŽ Hypothesis Testing
īŽ e.g.: Use sample evidence to test
the claim that the population mean
weight is 120 pounds
Drawing conclusions and/or making decisions
concerning a population based on sample results.
Sampling variability
īŽ Sampling variability
īŽ Value of a statistic varies in repeated random
sampling
īŽ If the variation when we take repeat samples from
the same population is too great, we can’t trust the
results of any one sample.
Chapter Summary
īŽ Reviewed key data collection methods
īŽ Introduced key definitions:
ī‚¨Population vs. Sample ī‚¨Primary vs. Secondary data types
ī‚¨Qualitative vs. Qualitative data ī‚¨Time Series vs. Cross-Sectional data
īŽ Examined descriptive vs. inferential statistics
īŽ Described different sampling techniques
īŽ Reviewed data types and measurement levels

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Data Collection Methods, Sampling Techniques & Statistics Guide

  • 1. Unit 2 & 3 Data Collection Sampling Measurement Concept Questionnaire Designing-Types
  • 2. Goals After completing this chapter, you should be able to: īŽ Describe key data collection methods īŽ Know key definitions: ī‚¨Population vs. Sample ī‚¨Primary vs. Secondary data types ī‚¨Qualitative vs. Qualitative data ī‚¨Time Series vs. Cross-Sectional data īŽ Explain the difference between descriptive and inferential statistics īŽ Describe different sampling methods & Experiments
  • 3. īŽ Descriptive statistics īŽ Collecting, presenting, and describing data īŽ Inferential statistics īŽ Drawing conclusions and/or making decisions concerning a population based only on sample data Tools of Business Statistics
  • 4. Descriptive Statistics īŽ Collect data īŽ e.g. Survey, Observation, Experiments īŽ Present data īŽ e.g. Charts and graphs īŽ Characterize data īŽ e.g. Sample mean = n xiīƒĨ
  • 5. Data Sources Primary Data Collection Secondary Data Compilation Observation Experimentation Survey Print or Electronic
  • 6. Data Sources Primary Data Collection Secondary Data Compilation Observation Experimentation Survey Print or Electronic
  • 7. Survey Design Steps īŽ Define the issue īŽ what are the purpose and objectives of the survey? īŽ Define the population of interest īŽ Formulate survey questions īŽ make questions clear and unambiguous īŽ use universally-accepted definitions īŽ limit the number of questions
  • 8. Survey Design Steps īŽ Pre-test the survey īŽ pilot test with a small group of participants īŽ assess clarity and length īŽ Determine the sample size and sampling method īŽ Select Sample and administer the survey (continued)
  • 9. Types of Questions īŽ Closed-end Questions īŽ Select from a short list of defined choices Example: Major: __business __liberal arts __science __other īŽ Open-end Questions īŽ Respondents are free to respond with any value, words, or statement Example: What did you like best about this course? īŽ Demographic Questions īŽ Questions about the respondents’ personal characteristics Example: Gender: __Female __ Male
  • 10. īŽ A Population is the set of all items or individuals of interest īŽ Examples: All likely voters in the next election All parts produced today All sales receipts for November īŽ A Sample is a subset of the population īŽ Examples: 1000 voters selected at random for interview A few parts selected for destructive testing Every 100th receipt selected for audit Populations and Samples
  • 11. Population vs. Sample a b c d ef gh i jk l m n o p q rs t u v w x y z Population Sample b c g i n o r u y
  • 12. Why Sample? īŽ Less time consuming than a census īŽ Less costly to administer than a census īŽ It is possible to obtain statistical results of a sufficiently high precision based on samples.
  • 14. Statistical Sampling īŽ Items of the sample are chosen based on known or calculable probabilities Probability Samples Simple Random SystematicStratified Cluster
  • 15. Simple Random Samples īŽ Every individual or item from the population has an equal chance of being selected īŽ Selection may be with replacement or without replacement īŽ Samples can be obtained from a table of random numbers or computer random number generators
  • 16. Stratified Samples īŽ Population divided into subgroups (called strata) according to some common characteristic īŽ Simple random sample selected from each subgroup īŽ Samples from subgroups are combined into one Population Divided into 4 strata Sample
  • 17. īŽ Decide on sample size: n īŽ Divide frame of N individuals into groups of k individuals: k=N/n īŽ Randomly select one individual from the 1st group īŽ Select every kth individual thereafter Systematic Samples N = 64 n = 8 k = 8 First Group
  • 18. Cluster Samples īŽ Population is divided into several “clusters,” each representative of the population īŽ A simple random sample of clusters is selected īŽ All items in the selected clusters can be used, or items can be chosen from a cluster using another probability sampling technique Population divided into 16 clusters. Randomly selected clusters for sample
  • 19. Data Collection Data Qualitative (Categorical) Quantitative (Numerical) Discrete Continuous Examples: īŽ Marital Status īŽ Political Party īŽ Eye Color (Defined categories) Examples: īŽ Number of Children īŽ Defects per hour (Counted items) Examples: īŽ Weight īŽ Voltage (Measured characteristics)
  • 20. Data Types Data Qualitative (Categorical) Quantitative (Numerical) Discrete Continuous Examples: īŽ Marital Status īŽ Political Party īŽ Eye Color (Defined categories) Examples: īŽ Number of Children īŽ Defects per hour (Counted items) Examples: īŽ Weight īŽ Voltage (Measured characteristics)
  • 21. Data Types īŽ Time Series Data īŽ Ordered data values observed over time īŽ Cross Section Data īŽ Data values observed at a fixed point in time
  • 22. Data Types Sales (in $1000’s) 2003 2004 2005 2006 Atlanta 435 460 475 490 Boston 320 345 375 395 Cleveland 405 390 410 395 Denver 260 270 285 280 Time Series Data Cross Section Data
  • 23. Data Measurement Levels Ratio/Interval Data Ordinal Data Nominal Data Highest Level Complete Analysis Higher Level Mid-level Analysis Lowest Level Basic Analysis Categorical Codes ID Numbers Category Names Rankings Ordered Categories Measurements
  • 24. Randomization of Subjects īŽ Randomization: the use of chance to divide experimental units into groups
  • 25. Experiment Vocabulary īŽ Experimental units īŽ Individuals on which the experiment is done īŽ Subjects īŽ Experimental units that are human īŽ Treatment īŽ Specific experimental condition applied to the units īŽ Factors īŽ Explanatory variables in an experiment īŽ Level īŽ Specific value of a factor
  • 26. Example of an Experiment īŽ Does regularly taking aspirin help protect people against heart attacks? īŽ Subjects: 21,996 male physicians īŽ Factors īŽ Aspirin (2 levels: yes and no) īŽ Beta carotene (2 levels: yes and no) īŽ Treatments īŽ Combination of the 2 factor levels (4 total) īŽ Conclusion īŽ Aspirin does reduce heart attacks, but beta carotene has no effect.
  • 27.
  • 28. Block designs īŽ Random assignment of units to treatments is carried out separately within each block (Group of experimental units or subjects that are known before the experiment to be similar in some way that is expected to affect the response to the treatments)
  • 29. īŽ Making statements about a population by examining sample results Sample statistics Population parameters (known) Inference (unknown, but can be estimated from sample evidence) Sample Population Inferential Statistics
  • 30. Key Definitions īŽ A population is the entire collection of things under consideration īŽ A parameter is a summary measure computed to describe a characteristic of the population īŽ A sample is a portion of the population selected for analysis īŽ A statistic is a summary measure computed to describe a characteristic of the sample
  • 31. Statistical Inference Terms īŽ A parameter is a number that describes the population. īŽ Fixed number which we don’t know in practice īŽ A statistic is a number that describes a sample. īŽ Value is known when we have taken a sample īŽ It can change from sample to sample īŽ Often used to estimate an unknown parameter
  • 32. Statistical Significance īŽ An observed effect (i.e., a statistic) so large that it would rarely occur by chance is called statistically significant. īŽ The difference in the responses (another statistic) is so large that it is unlikely to happen just because of chance variation.
  • 33. Inferential Statistics īŽ Estimation īŽ e.g.: Estimate the population mean weight using the sample mean weight īŽ Hypothesis Testing īŽ e.g.: Use sample evidence to test the claim that the population mean weight is 120 pounds Drawing conclusions and/or making decisions concerning a population based on sample results.
  • 34. Sampling variability īŽ Sampling variability īŽ Value of a statistic varies in repeated random sampling īŽ If the variation when we take repeat samples from the same population is too great, we can’t trust the results of any one sample.
  • 35. Chapter Summary īŽ Reviewed key data collection methods īŽ Introduced key definitions: ī‚¨Population vs. Sample ī‚¨Primary vs. Secondary data types ī‚¨Qualitative vs. Qualitative data ī‚¨Time Series vs. Cross-Sectional data īŽ Examined descriptive vs. inferential statistics īŽ Described different sampling techniques īŽ Reviewed data types and measurement levels