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Ch. 5 continued:
Measuring Variables and Sampling
            9.25.2012
Road Map
• Discuss Exam 1

• Quick review of 9/20 class

• Finish Chapter 5 material (sampling)
Exam 1
• Will share class statistics next class
   – (Brian will enter grades in BbLearn right now)
   – Mean on multiple choice = 83%


• Discuss short answer questions

• Any questions about multiple choice?
Quick Review
•   Scales of measurement
•   Reliability
•   Validity
•   Appropriate use/interpretation of reliability
    and validity information
SAMPLING
Sampling
• Very important part of research methodology

Let’s establish some vocabulary:

• Population- full set of elements that exist

• Sample- a set of elements taken from the
  population

• Element- the basic unit of sampling
More Lingo
• Sampling method

• Representative sample

• Equal probability of selection method
  – (EPSEM)
Statistics vs. Parameters
• Statistic
• Parameter

• Sampling Error: Difference between the sample
  values and the “true” population value
• illustration

• Inferential Statistics: goal is to draw conclusions
  (inferences) about population based on sample
  statistics
Even More Lingo
• Census

• Response rate: % of people selected to be in
  the sample who actually participate in the
  study

• What if our response rate is really low?
Will the Lingo Never End?
• Biased Sample: A non-representative sample

Hopefully you have:
• Proximal similarity: generalization to people,
  places, settings, and contexts similar to those
  described in the study
Sampling Methods
Simple Random Sampling

• popular and most basic type of random
  sampling

• Think slips of paper in a hat

• With replacement
• Without replacement – preferred
Stratified Random Sampling
• Divide the population into mutually exclusive
  groups (strata)
• Then select a random sample from each
  group
• Stratification variable

• Proportional vs. Disproportional
Cluster Random Sampling

• Cluster- collective type of unit that includes
  multiple elements (people)

• Examples?
  – Schools, classes, families
  – clusters are randomly selected
Systematic Sampling
1. Determine the sampling interval (k)
2. Randomly select an element between 1 and k
3. Select every kth element.

• Sampling interval- The population size divided
  by the desired sample size
  – symbolized by the letter k
example
•   Population N=100
•   Desired sample n =10
•   k = Population N/sample n = 100/10 = 10
•   Step 1 select element between 1 and 10
    – we randomly select 7
• Now select every 10th (k) element
• Sample= 7,17,27,37,47,57,67,77,87,97
Warning for Systematic Sampling
• Periodicity - problem if there is a cyclical
  pattern in the population from which you’re
  sampling
Example:
• If I have lists of classes organized by student
  grade (highest to lowest) and the length of
  each class list is = to k.
• Might always be selecting the A or F students.
Nonrandom Sampling
• Weaker method (less representative of
  population)
• But sometimes necessary for practical reasons

• Four types
  – Convenience sampling
  – Quota sampling
  – Purposive sampling
  – Snowball sampling
Convenience Sampling
• Use of people who are readily available,
  volunteer, or are easily recruited for inclusion
  in a sample
Two most common research
             participants
• White Rat
• College student
Quota Sampling
• Researcher sets quotas
  – numbers of the kind of people wanted in the
    sample


• Then locates (via convenience sample) the
  numbers of people to meet the quotas
Purposive Sampling
• Sampling of individuals who meet specific
  criteria/ characteristics
Snowball Sampling
• When research question requires individuals who are
  hard to find

• Example: researching HIV+ white females

• Start with small group who meet criteria
• They spread the word
   – “snowball effect”
Random Selection vs. Random
            Assignment
• Random Selection: select participants for
  study
  – Purpose: create a representative sample


• Random assignment: place participants in
  experimental conditions
  – Purpose: create equivalent groups for use in an
    experiment
How do we determine sample size?
 • If population <100 then get them all

 • In general, get as big a sample as possible

 • Sample size calculator: G*Power

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Chapter 5 class version b(1)

  • 1. Ch. 5 continued: Measuring Variables and Sampling 9.25.2012
  • 2. Road Map • Discuss Exam 1 • Quick review of 9/20 class • Finish Chapter 5 material (sampling)
  • 3. Exam 1 • Will share class statistics next class – (Brian will enter grades in BbLearn right now) – Mean on multiple choice = 83% • Discuss short answer questions • Any questions about multiple choice?
  • 4. Quick Review • Scales of measurement • Reliability • Validity • Appropriate use/interpretation of reliability and validity information
  • 6. Sampling • Very important part of research methodology Let’s establish some vocabulary: • Population- full set of elements that exist • Sample- a set of elements taken from the population • Element- the basic unit of sampling
  • 7. More Lingo • Sampling method • Representative sample • Equal probability of selection method – (EPSEM)
  • 8. Statistics vs. Parameters • Statistic • Parameter • Sampling Error: Difference between the sample values and the “true” population value • illustration • Inferential Statistics: goal is to draw conclusions (inferences) about population based on sample statistics
  • 9. Even More Lingo • Census • Response rate: % of people selected to be in the sample who actually participate in the study • What if our response rate is really low?
  • 10. Will the Lingo Never End? • Biased Sample: A non-representative sample Hopefully you have: • Proximal similarity: generalization to people, places, settings, and contexts similar to those described in the study
  • 12. Simple Random Sampling • popular and most basic type of random sampling • Think slips of paper in a hat • With replacement • Without replacement – preferred
  • 13. Stratified Random Sampling • Divide the population into mutually exclusive groups (strata) • Then select a random sample from each group • Stratification variable • Proportional vs. Disproportional
  • 14. Cluster Random Sampling • Cluster- collective type of unit that includes multiple elements (people) • Examples? – Schools, classes, families – clusters are randomly selected
  • 15. Systematic Sampling 1. Determine the sampling interval (k) 2. Randomly select an element between 1 and k 3. Select every kth element. • Sampling interval- The population size divided by the desired sample size – symbolized by the letter k
  • 16. example • Population N=100 • Desired sample n =10 • k = Population N/sample n = 100/10 = 10 • Step 1 select element between 1 and 10 – we randomly select 7 • Now select every 10th (k) element • Sample= 7,17,27,37,47,57,67,77,87,97
  • 17. Warning for Systematic Sampling • Periodicity - problem if there is a cyclical pattern in the population from which you’re sampling Example: • If I have lists of classes organized by student grade (highest to lowest) and the length of each class list is = to k. • Might always be selecting the A or F students.
  • 18. Nonrandom Sampling • Weaker method (less representative of population) • But sometimes necessary for practical reasons • Four types – Convenience sampling – Quota sampling – Purposive sampling – Snowball sampling
  • 19. Convenience Sampling • Use of people who are readily available, volunteer, or are easily recruited for inclusion in a sample
  • 20. Two most common research participants • White Rat • College student
  • 21. Quota Sampling • Researcher sets quotas – numbers of the kind of people wanted in the sample • Then locates (via convenience sample) the numbers of people to meet the quotas
  • 22. Purposive Sampling • Sampling of individuals who meet specific criteria/ characteristics
  • 23. Snowball Sampling • When research question requires individuals who are hard to find • Example: researching HIV+ white females • Start with small group who meet criteria • They spread the word – “snowball effect”
  • 24. Random Selection vs. Random Assignment • Random Selection: select participants for study – Purpose: create a representative sample • Random assignment: place participants in experimental conditions – Purpose: create equivalent groups for use in an experiment
  • 25. How do we determine sample size? • If population <100 then get them all • In general, get as big a sample as possible • Sample size calculator: G*Power