Basic Concepts in Sampling• Sampling error: any error in a survey that occurs because a sample is used • A sample frame: a master list of the entire population • Sample frame error: the
Trang 1Determining How to
Select a Sample
Trang 2Basic Concepts in Sampling
• Population: the entire group under study as defined by research
objectives
– Researchers define populations in specific terms such as “heads of
households located in areas
served by the company who are
responsible for making the pest
control decision.”
Trang 3Basic Concepts in Sampling
• Sample: a subset of the population that should represent the entire
Trang 4Basic Concepts in Sampling
• Sampling error: any error in a survey that occurs because a sample is used
• A sample frame: a master list of the entire population
• Sample frame error: the degree to
which the sample frame fails to
account for all of the population…a telephone book listing does not
contain unlisted numbers
Trang 5Reasons for Taking a Sample
• Practical considerations such as
cost and population size
• Inability of researcher to analyze
huge amounts of data generated
by census
• Samples can produce precise
results
Trang 6Two Basic Sampling Methods
• Probability samples: ones in which members of the population have a known chance (probability) of
being selected into the sample
• Non-probability samples:
instances in which the chances
(probability) of selecting members from the population into the
sample are unknown
Trang 7Probability Sampling Methods
• Simple random sampling
• Systematic sampling
• Cluster sampling
• Stratified sampling
Trang 8Probability Sampling Methods
Trang 9Probability Sampling:
Simple Random Sampling
• Simple random sampling: the
probability of being selected into the sample is “known” and equal for all members of the population
– E.g., Blind Draw Method
– Random Numbers Method (see
MRI 12.1, p 335)
Trang 10• Cumbersome to provide unique
designations to every population
member
Trang 11Probability Sampling
Systematic Sampling
• Systematic sampling: way to
select a random sample from a
directory or list that is much more efficient than simple random
sampling
– Skip interval=population list
size/sample size
Trang 12Probability Sampling
Systematic Sampling
– Advantages:
• Approximate known and equal
chance of selection…it is a probability sample plan
• Efficiency…do not need to designate every population member
• Less expensive…faster than SRS
– Disadvantage:
• Small loss in sampling precision
Trang 13Probability Sampling
Cluster Sampling
• Cluster sampling: method in
which the population is
divided into groups, any of
which can be considered a
representative sample
– Area sampling
Trang 14results
Trang 15Cluster Sampling
• In cluster sampling the population
is divided into subgroups, called
“clusters.”
• Each cluster should represent the
population.
• Area sampling is a form of cluster
sampling – the geographic area is
Trang 16Cluster Sampling
• One cluster may be selected to
represent the entire area with the one-step area sample.
• Several clusters may be selected
using the two-step area sample.
Trang 17A Two-Step Cluster Sample
• A two-step cluster sample
(sampling several clusters) is
preferable to a one-step (selecting only one cluster) sample unless
the clusters are homogeneous.
Trang 18Stratified Sampling
• When the researcher knows the
answers to the research question are likely to vary by subgroups…
Trang 19Stratified Sampling
– Research Question: “To what extent
do you value your college degree?” Answers are on a five point scale: 1=
“Not valued at all” and 5= “Very
highly valued”
• We would expect the answers to vary depending on classification Freshmen
Trang 20Stratified Sampling
– Research Question: “To what extent
do you value your college degree?”
• We would also expect there to be more agreement (less variance) as
classification goes up That is, seniors should pretty much agree that there is value Freshmen will have less
agreement.
Trang 21Stratified Sampling
Trang 22Probability Sampling
Stratified Sampling
• Stratified sampling: method in
which the population is separated into different strata and a sample
is taken from each stratum
– Proportionate stratified sample
– Disproportionate stratified sample
Trang 23Probability Sampling
Stratified Sampling
– Advantage:
• More accurate overall sample of
skewed population…see next slide for WHY
– Disadvantage:
• More complex sampling plan
requiring different sample size for
Trang 24Stratified Sampling
• Why is stratified sampling more
accurate when there are skewed
populations?
– The less variance in a group, the less
sample size it takes to produce a
precise answer.
– Why? If 99% of the population (low
variance) agreed on the choice of Brand
A, it would be easy to make a precise
estimate that the population preferred Brand A even with a small sample size.
Trang 25Stratified Sampling
– But, if 33% chose Brand A, and
23% chose B, and so on (high
variance) it would be difficult to
make a precise estimate of the
population’s preferred brand…it
would take a larger sample size…
Trang 26Stratified Sampling
– Stratified sampling allows the researcher
to allocate more sample size to strata
with less variance and less sample size
to strata with less variance Thus, for the same sample size, more precision is
achieved.
– This is normally accomplished by
disproportionate sampling Seniors
would be sampled LESS than their
proportionate share of the population
Trang 27Stratified Sampling
• Note that we would expect this question to be
answered differently depending on student
Trang 28Nonprobability Sampling
• With nonprobability sampling
methods selection is not based on fairness, equity, or equal chance.
– Convenience sampling
– Judgment sampling
– Referral sampling
– Quota sampling
Trang 29Nonprobability Sampling
Trang 30Nonprobability Sampling
• May not be representative but they
are still used very often Why?
– Decision makers want fast,
relatively inexpensive answers… nonprobability samples are faster and less costly than probability
samples
Trang 31Nonprobability Sampling
• May not be representative but they
are still used very often Why?
– Decision makers can make a
decision based upon what 100 or
200 or 300 people say…they don’t feel they need a probability
sample
Trang 32Nonprobability Sampling
• Convenience samples: samples
drawn at the convenience of the
interviewer
– Error occurs in the form of
members of the population who are infrequent or nonusers of that
location
Trang 33Nonprobability Sampling
• Judgment samples: samples that require a judgment or an
“educated guess” as to who
should represent the population
– Subjectivity enters in here, and
certain members will have a
smaller chance of selection than
Trang 34Nonprobability Sampling
samples): samples which require respondents to provide the names
of additional respondents
– Members of the population who are less known, disliked, or whose
opinions conflict with the
respondent have a low probability
of being selected
Trang 35Nonprobability Sampling
• Quota samples: samples that use
a specific quota of certain types of individuals to be interviewed
– Often used to ensure that
convenience samples will have
desired proportion of different
respondent classes
Trang 36Online Sampling Techniques
• Random online intercept
sampling: relies on a random
selection of Web site visitors
• Invitation online sampling: is when potential respondents are alerted that they may fill out a
questionnaire that is hosted at a
specific Web site
Trang 37Online Sampling Techniques
• Online panel sampling: refers to
consumer or other respondent
panels that are set up by
marketing research companies for the explicit purpose of conducting surveys with representative
samples
Trang 38Developing a Sample Plan
• Sample plan: definite sequence of steps that the researcher goes
through in order to draw and
ultimately arrive at the final sample
Trang 39Developing a Sample Plan
1 Define the relevant population.
2 Obtain a listing of the population.
– The incidence rate is the
percentage of people on a list who qualify as members of the population
Trang 40Developing a Sample Plan
4 Draw the sample.
– Substitution methods:
• Drop-down substitution
• Oversampling
• Resampling
Trang 41Developing a Sample Plan
5 Validate the sample.
– Sample validation is a process in
which the researcher inspects some characteristic(s) of the sample to judge how well it represents the population
6 Resample, if necessary.