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Chapter Eleven. Sampling Fundamentals 1. Sampling Fundamentals. Population Sample Census Parameter Statistic. The One and Only Goal in Sampling!!. Select a sample that is as representative as possible. So that an accurate inference about the population - PowerPoint PPT Presentation
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Chapter Eleven
Sampling Fundamentals 1Sampling Fundamentals 1
Sampling Fundamentals• Population
• Sample
• Census
• Parameter
• Statistic
The One and Only Goal in Sampling!!
Select a sample that is as representative as possible.
So that an accurate inference about the population can be made – goal of marketing research
Sampling Fundamentals• When Is Census Appropriate?
• When Is Sample Appropriate?
Error in Sampling• Total Error
– Difference between the true value (in the population) and the observed value (in the sample) of a variable
• Sampling Error– Error due to sampling (depends on how the
sample is selected, and its size)• Non-sampling Error (dealt with in chapter 4)
– Measurement Error, Data Recording Error, Data Analysis Error, Non-response Error
Sampling Process: Identify Population• Question: For a toy store in Charlotte (be as
specific as possible)
• Question: For a small bookstore in RH specializing in romance novels
Sampling Process: Determine sampling frame• List and contact information of population
members used to obtain the sample from• Example – to address a population of all
advertising agencies in the US, the sampling frame would be the Standard Directory of Advertising Agencies
• Availability of lists is limited, lists may be obsolete and incomplete
Problems with sampling frames• Subset problem
– The sampling frame is smaller than the population
– Another sampling frame needs to be tapped• Superset problem
– Sampling frame is larger than the population– A filter question needs to be posed
• Intersection problem– A combination of the subset and superset
problem– Most serious of the three
Problems with sampling frames
Sampling Process: Sampling ProcedureProbability Sampling
• Each member of the population stands an equal chance of getting into the sample
• Preferred due to greater representativenessNonprobability Sampling
• Convenience sampling – some members stand a better chance of being sampled than others
Sampling Procedure
Sampling Procedures
Non-Probability Sampling
Probability Sampling-Simple Random Sampling-Systematic Sampling-Stratified Sampling-Cluster Sampling
-Convenience Sampling-Judgmental Sampling-Snowball Sampling-Quota Sampling
Here’s the difference!
Probability Sampling: Each subject has the same non-zero probability of getting into the sample!
Probability Sampling TechniquesSimple Random Sampling
• Each population member has equal, non-zero probability of being selected
• Equivalent to choosing with replacement
Probability Sampling Techniques• Accuracy – cost trade off• Sampling Efficiency =
Accuracy/Cost– Sampling efficiency can be increased
by either reducing the cost, increasing the accuracy or doing both
– This has led to modifying simple random sampling procedures
Probability Sampling TechniquesStratified Sampling• The chosen sample is forced to contain units from
each of the segments or strata of the population• Sometimes groups (strata) are naturally present in
the population• Between-group differences on the variable of
interest are high and within-group differences are low• Then it makes better sense to do simple random
sampling within each group and vary within-group sample size according to– Variation on variable of interest– Cost of generating the sample– Size of group in population
• Increases accuracy at a faster rate than cost
Stratified Sampling – what strata are naturally present
Consumer type Group size 10 Percent directly proportional stratified sample size
Brand-loyal 400 40
Variety-seeking
200 20
Total 600 60
Directly Proportionate Stratified Sampling
• 600 consumers in the population:• 200 are heavy drinkers • 400 are light drinkers.
• If heavy drinkers opinions are valued more and a sample size of 60 is desired, a 10 percent inversely proportional stratified sampling is employed. Selection probabilities are computed as follows:
DenominatorHeavy Drinkers proportion and sample sizeLight drinkers proportion and sample size
600/200 + 600/400 = 3 + 1.5 = 4.53/ 4.5 = 0.667; 0.667 * 60 = 40
1.5 / 4.5 = 0.333; 0.333 * 60 = 20
Inversely Proportional Stratified Sampling
Probability Sampling TechniquesCluster Sampling
• Involves dividing population into subgroups • Random sample of subgroups/clusters is
selected and all members of subgroups are interviewed
• Advantages– Decreases cost at a faster rate than accuracy– Effective when sub-groups representative of the
population can be identified
Cluster Sampling• Geography knowledge of all middle school
children in the US• Attitudes to cell phones amongst all college
students in the US• Knowledge of credit amongst all freshman
college students in the US
• Combine cluster and stratified sampling
A Comparison of Stratified and Cluster Sampling
Stratified samplingHomogeneity within groupHeterogeneity between groupsAll groups are includedRandom sampling in each groupSampling efficiency improved by increasing accuracy at a faster rate than cost
Cluster samplingHomogeneity between groupsHeterogeneity within groupsRandom selection of groupsCensus within the groupSampling efficiency improved by decreasing cost at a faster rate than accuracy.
Probability Sampling Techniques• Systematic Sampling
– Systematically spreads the sample through the entire list of population members
– E.g. every tenth person in a phone book– Bias can be introduced when the members in the list
are ordered according to some logic. E.g. listing women members first in a list at a dance club.
– If the list is randomly ordered then systematic sampling results closely approximate simple random sampling
– If the list is cyclically ordered then systematic sampling efficiency is lower than that of simple random sampling
Non-Probability Sampling• Benefits
– Driven by convenience– Costs may be less
• Common Uses– Exploratory research– Pre-testing questionnaires– Surveying homogeneous populations– Operational ease required
Non-Probability Sampling Techniques• Judgmental
– Selected according to ‘expert’ judgment• Snowball
– Each sample member is asked to recommend another– Used when populations are highly specialized / niched
• Convenience – ‘whosoever is convenient to find’
• Quota– Judgment sampling with a stipulation that the sample
include a minimum number from each specified sub-group