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SAMPLING




Design and Procedures

               PRAVIN DADMAL 2
                             2
               SHASHANK JAIN
What is sampling?
       Sampling is the act, process, or technique of selecting a
suitable sample, or a representative part of a population for the
purpose of determining parameters or characteristics of the
whole population.




                                                            3
                                                            3
Purpose of Sampling:
To draw conclusions about populations from samples, we must
use inferential statistics which enables us to determine a
population`s characteristics by directly observing only a
portion (or sample) of the population.




                                                       4
                                                       4
Population:-

It is the aggregate of all the elements that share some common set of
characteristics and that comprise the universe for the purpose of the
marketing research problem .

Census:-

A census involves a complete enumeration of the elements of a
population.

Sample:-

A sample is a subgroup of the population selected for participation in the
study.
                                                                     5
Sample Vs. Census
                                    Conditions Favoring the Use
Type of Study                       Sample         Census


1. Budget                           Small          Large

2. Time available                   Short          Long

3. Population size                  Large          Small

4. Variance in the characteristic   Small          Large

5. Cost of sampling errors          Low            High

6. Cost of nonsampling errors       High           Low

7. Nature of measurement            Destructive    Nondestructive

8. Attention to individual cases    Yes            No



                                                                    6
Design sampling procedure:-

1.Should a sample be taken?

2. If so what process should be followed?

3. What kind of sample should be taken?

4. How large should it be?

5. What can be done to control and adjust for nonresponsive
error?



                                                       7
The Sampling Design Process

       Define the target Population


      Determine the Sampling Frame


       Select Sampling Techniques


       Determine the Sample Size


      Execute the Sampling Process



                                      8
                                      8
9
STEP-1
           TARGET POPULATION

The target population is the collection of elements
or objects that possess the information required by
the researcher and about which inferences are to
be made. The target population should be defined
in terms of elements, sampling units, and time.




                                              10
                                               10
STEP-2
                SAMPLING FRAME
• Sampling frame: A representation of the element of the
  target population. It consist of a list or set of direction for
  identifying target population.




                                                           11
                                                            11
STEP-3
    SELECT A SAMPLING TECHQUINIQUE
• Bayesian approach:
  A selection method in which the element are selected
  sequentially. It is explicitly (clearly) incorporate prior
  information about population parameter as well as cost and
  probabilities associated with making a wrong decisions.

• Sample with replacement:
  A sampling technique in which an element can be included in
  the sample more than once.

• Sampling without replacement:
  A sampling technique in which an element can not be
  included In the sample more than once.
                                                        12
                                                         12
STEP-4
     DETERMINE THE SAMPLE SIZE


Number of elements to be included in a
 study.




                                   13
SAMPLE SIZE

Important qualitative factors in determining the sample size
  Importance of the decision
  Nature of the research
  Number of variables
  Nature of the analysis
  Sample sizes used in similar studies
  Incidence rates
  Completion rates
  Resource constraints



                                                               14
                                                                14
SAMPLE SIZES USED IN MARKETING
            RESEARCH STUDIES
Type of Study                          Minimum Size Typical Range


Problem identification research        500          1,000-2,500
(e.g. market potential)
Problem-solving research (e.g.         200          300-500
pricing)

Product tests                          200          300-500

Test marketing studies                 200          300-500

TV, radio, or print advertising (per   150          200-300
commercial or ad tested)
Test-market audits                     10 stores    10-20 stores

Focus groups                           2 groups     4-12 groups
STEP-5
   EXECUTE THE SAMPLING PROCEDURE
• It requires detailed specifications of how the sampling
  design decisions with respect to the population, sampling
  frame, sampling unit, sampling technique and sample size
  are to be implemented.




                                                      16
Classification of Sampling Techniques

                           Sampling Techniques


                Nonprobability               Probability
              Sampling Techniques        Sampling Techniques


Convenience   Judgmental      Quota        Snowball   Expert      Purposive
 Sampling      Sampling      Sampling      Sampling   sampling    sampling




 Simple Random    Systematic        Stratified    Cluster        Other Sampling
    Sampling       Sampling         Sampling     Sampling          Techniques

                                                                          17
                                                                           17
SAMPLING TECHNIQUES
• Non probability sampling: Sampling techniques that
  do not use chance selection procedures. Rather they
  rely on the personal judgment of the research.

• Probability sampling: A sampling procedure in
  which each element of the population has a fixed
  probabilistic chance of being selected for the sample.
• The difference between Non probability sampling
  technique and probability sampling technique is that
  Non probability sampling does not involves random
  sampling and probability sampling does.




                                                    19
USE OF SAMPLING TECHNIQUES

Non probability sampling technique: it is used in
concept test, packaged test, name test and copy test
where projections to be populations are usually not
needed.

Probability sampling technique: It is used when there
is a need for highly accurate estimates to market share or
sales volume for entire market. It generally employ
telephone interview , stratified and systematic sampling
are combined with some form of random digit dialing to
select the response.

                                                        20
CONVENIENCE SAMPLING
           ( NON PROBABILITY SAMPLING TECHNIQUE)


Convenience sampling attempts to obtain a sample
of convenient elements. Often, respondents are
selected because they happen to be in the right place
at the right time.

 Mall intercept interviews without qualifying the
  respondents
 “People on the street” interviews



                                                   21
JUDGMENTAL SAMPLING
            ( NON PROBABILITY SAMPLING TECHNIQUE)



Judgmental sampling: It is a form of
convenience sampling in which the
population elements are selected based on the
judgment of the researcher.




                                                    22
QUOTA SAMPLING
            ( NON PROBABILITY SAMPLING TECHNIQUE)

Quota sampling may be viewed as two-stage
restricted judgmental sampling.
  The first stage consists of developing control
   categories, or quotas, of population elements.
  In the second stage, sample elements are selected
   based on convenience or judgment.




                                                    23
SNOWBALL SAMPLING
              ( NON PROBABILITY SAMPLING TECHNIQUE)


In snowball sampling, an initial
group of respondents is selected,
usually at random.

 After being interviewed, these
  respondents are asked to
  identify others who belong to
  the target population of interest

 Subsequent respondents are
  selected based on the referral.

                                                      24
SIMPLE RANDOM SAMPLING
                  (PROBABILITY SAMPLING TECHNIQUE)

• Each element in the population
  has a known and equal probability
  of selection.

• Each possible sample of a given
  size (n) has a known and equal
  probability of being the sample
  actually selected.

• This implies that every element is
  selected independently of every
  other element.

                                                     25
SYSTEMATIC SAMPLING
                (PROBABILITY SAMPLING TECHNIQUE)




• The sample is chosen by selecting a random
  starting point and then picking every it element in
  succession from the sampling frame.




                                                   26
Systematic sampling
STRATIFIED SAMPLING
                  (PROBABILITY SAMPLING TECHNIQUE)

• A two-step process in which
  the population is partitioned
  into subpopulations, or
  strata.

• The strata should be
  mutually exclusive and
  collectively exhaustive in
  that     every    population
  element should be assigned
  to one and only one stratum
  and no population elements
  should be omitted.
                                                     28
• Next, elements are selected from each stratum by a
  random procedure, usually SRS.

• A major objective of stratified sampling is to increase
  precision without increasing cost.




                                                       29
CLUSTER SAMPLING
                 (PROBABILITY SAMPLING TECHNIQUE)


• The target population is first
  divided into mutually exclusive and
  collectively              exhaustive
  subpopulations, or clusters.

• Then a random sample of clusters is
  selected, based on a probability
  sampling technique such as SRS.
•
• For each selected cluster, either all
  the elements are included in the
  sample (one-stage) or a sample of
  elements is drawn probabilistically
  (two-stage).
                                                    30
• Ideally, each cluster should be a small-scale
  representation of the population.
• In probability proportionate to size sampling, the
  clusters are sampled with probability proportional to
  size. In the second stage, the probability of selecting
  a sampling unit in a selected cluster varies inversely
  with the size of the cluster.




                                                       31
TYPES OF CLUSTER SAMPLING
                       Cluster Sampling




One-Stage                    Two-Stage                 Multistage
Sampling                      Sampling                 Sampling



            Simple Cluster                  Probability
              Sampling                    Proportionate
                                         to Size Sampling


                                                                    32
OTHER PROBABILITY SAMPLING
                 TECHNIQUES

• SEQUENTIAL SAMPLING: A probability sampling
  technique in which the population elements are sample
  sequentially, data collection and analysis are done at each
  stage and decision is made as to whether additional
  population elements should be sampled.

• Double sampling: A sampling technique in which certain
  population element are sampled twice.
Non Probability Sampling


 Technique    Strengths                          Weaknesses


Convenience   Least expensive, least            Selection bias, sample not
              time-consuming, most          representative, not recommended for
sampling      convenient                       descriptive or causal research

Judgmental    Low cost, convenient,           Does not allow generalization,
sampling      not time-consuming              subjective

 Quota        Sample can be controlled          Selection bias, no assurance of
 sampling     for certain characteristics       representativeness

Snowball      Can estimate rare                  Time-consuming
sampling      characteristics



                                                                               34
Probability Sampling


Technique       Strengths                   Weaknesses


Simple random   Easily understood,         Difficult to construct sampling
sampling                                   frame, expensive,      lower precision,
                results   projectable
                                           no assurance of      representativeness.

Systematic      Can increase                Can decrease representativeness
sampling        representativeness,
                easier to implement than
                sampling frame not
                necessary

Stratified      Include all important       Difficult to select relevant
sampling        subpopulations,            stratification variables, not feasible to
                precision                  stratify on many variables, expensive


Cluster         Easy to implement, cost      Imprecise, difficult to compute and
sampling        effective
                                             interpret results
                                                                                       35
THANK YOU

            36

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Sampling final

  • 1. 1 1
  • 2. SAMPLING Design and Procedures PRAVIN DADMAL 2 2 SHASHANK JAIN
  • 3. What is sampling? Sampling is the act, process, or technique of selecting a suitable sample, or a representative part of a population for the purpose of determining parameters or characteristics of the whole population. 3 3
  • 4. Purpose of Sampling: To draw conclusions about populations from samples, we must use inferential statistics which enables us to determine a population`s characteristics by directly observing only a portion (or sample) of the population. 4 4
  • 5. Population:- It is the aggregate of all the elements that share some common set of characteristics and that comprise the universe for the purpose of the marketing research problem . Census:- A census involves a complete enumeration of the elements of a population. Sample:- A sample is a subgroup of the population selected for participation in the study. 5
  • 6. Sample Vs. Census Conditions Favoring the Use Type of Study Sample Census 1. Budget Small Large 2. Time available Short Long 3. Population size Large Small 4. Variance in the characteristic Small Large 5. Cost of sampling errors Low High 6. Cost of nonsampling errors High Low 7. Nature of measurement Destructive Nondestructive 8. Attention to individual cases Yes No 6
  • 7. Design sampling procedure:- 1.Should a sample be taken? 2. If so what process should be followed? 3. What kind of sample should be taken? 4. How large should it be? 5. What can be done to control and adjust for nonresponsive error? 7
  • 8. The Sampling Design Process Define the target Population Determine the Sampling Frame Select Sampling Techniques Determine the Sample Size Execute the Sampling Process 8 8
  • 9. 9
  • 10. STEP-1 TARGET POPULATION The target population is the collection of elements or objects that possess the information required by the researcher and about which inferences are to be made. The target population should be defined in terms of elements, sampling units, and time. 10 10
  • 11. STEP-2 SAMPLING FRAME • Sampling frame: A representation of the element of the target population. It consist of a list or set of direction for identifying target population. 11 11
  • 12. STEP-3 SELECT A SAMPLING TECHQUINIQUE • Bayesian approach: A selection method in which the element are selected sequentially. It is explicitly (clearly) incorporate prior information about population parameter as well as cost and probabilities associated with making a wrong decisions. • Sample with replacement: A sampling technique in which an element can be included in the sample more than once. • Sampling without replacement: A sampling technique in which an element can not be included In the sample more than once. 12 12
  • 13. STEP-4 DETERMINE THE SAMPLE SIZE Number of elements to be included in a study. 13
  • 14. SAMPLE SIZE Important qualitative factors in determining the sample size  Importance of the decision  Nature of the research  Number of variables  Nature of the analysis  Sample sizes used in similar studies  Incidence rates  Completion rates  Resource constraints 14 14
  • 15. SAMPLE SIZES USED IN MARKETING RESEARCH STUDIES Type of Study Minimum Size Typical Range Problem identification research 500 1,000-2,500 (e.g. market potential) Problem-solving research (e.g. 200 300-500 pricing) Product tests 200 300-500 Test marketing studies 200 300-500 TV, radio, or print advertising (per 150 200-300 commercial or ad tested) Test-market audits 10 stores 10-20 stores Focus groups 2 groups 4-12 groups
  • 16. STEP-5 EXECUTE THE SAMPLING PROCEDURE • It requires detailed specifications of how the sampling design decisions with respect to the population, sampling frame, sampling unit, sampling technique and sample size are to be implemented. 16
  • 17. Classification of Sampling Techniques Sampling Techniques Nonprobability Probability Sampling Techniques Sampling Techniques Convenience Judgmental Quota Snowball Expert Purposive Sampling Sampling Sampling Sampling sampling sampling Simple Random Systematic Stratified Cluster Other Sampling Sampling Sampling Sampling Sampling Techniques 17 17
  • 18. SAMPLING TECHNIQUES • Non probability sampling: Sampling techniques that do not use chance selection procedures. Rather they rely on the personal judgment of the research. • Probability sampling: A sampling procedure in which each element of the population has a fixed probabilistic chance of being selected for the sample.
  • 19. • The difference between Non probability sampling technique and probability sampling technique is that Non probability sampling does not involves random sampling and probability sampling does. 19
  • 20. USE OF SAMPLING TECHNIQUES Non probability sampling technique: it is used in concept test, packaged test, name test and copy test where projections to be populations are usually not needed. Probability sampling technique: It is used when there is a need for highly accurate estimates to market share or sales volume for entire market. It generally employ telephone interview , stratified and systematic sampling are combined with some form of random digit dialing to select the response. 20
  • 21. CONVENIENCE SAMPLING ( NON PROBABILITY SAMPLING TECHNIQUE) Convenience sampling attempts to obtain a sample of convenient elements. Often, respondents are selected because they happen to be in the right place at the right time.  Mall intercept interviews without qualifying the respondents  “People on the street” interviews 21
  • 22. JUDGMENTAL SAMPLING ( NON PROBABILITY SAMPLING TECHNIQUE) Judgmental sampling: It is a form of convenience sampling in which the population elements are selected based on the judgment of the researcher. 22
  • 23. QUOTA SAMPLING ( NON PROBABILITY SAMPLING TECHNIQUE) Quota sampling may be viewed as two-stage restricted judgmental sampling.  The first stage consists of developing control categories, or quotas, of population elements.  In the second stage, sample elements are selected based on convenience or judgment. 23
  • 24. SNOWBALL SAMPLING ( NON PROBABILITY SAMPLING TECHNIQUE) In snowball sampling, an initial group of respondents is selected, usually at random.  After being interviewed, these respondents are asked to identify others who belong to the target population of interest  Subsequent respondents are selected based on the referral. 24
  • 25. SIMPLE RANDOM SAMPLING (PROBABILITY SAMPLING TECHNIQUE) • Each element in the population has a known and equal probability of selection. • Each possible sample of a given size (n) has a known and equal probability of being the sample actually selected. • This implies that every element is selected independently of every other element. 25
  • 26. SYSTEMATIC SAMPLING (PROBABILITY SAMPLING TECHNIQUE) • The sample is chosen by selecting a random starting point and then picking every it element in succession from the sampling frame. 26
  • 28. STRATIFIED SAMPLING (PROBABILITY SAMPLING TECHNIQUE) • A two-step process in which the population is partitioned into subpopulations, or strata. • The strata should be mutually exclusive and collectively exhaustive in that every population element should be assigned to one and only one stratum and no population elements should be omitted. 28
  • 29. • Next, elements are selected from each stratum by a random procedure, usually SRS. • A major objective of stratified sampling is to increase precision without increasing cost. 29
  • 30. CLUSTER SAMPLING (PROBABILITY SAMPLING TECHNIQUE) • The target population is first divided into mutually exclusive and collectively exhaustive subpopulations, or clusters. • Then a random sample of clusters is selected, based on a probability sampling technique such as SRS. • • For each selected cluster, either all the elements are included in the sample (one-stage) or a sample of elements is drawn probabilistically (two-stage). 30
  • 31. • Ideally, each cluster should be a small-scale representation of the population. • In probability proportionate to size sampling, the clusters are sampled with probability proportional to size. In the second stage, the probability of selecting a sampling unit in a selected cluster varies inversely with the size of the cluster. 31
  • 32. TYPES OF CLUSTER SAMPLING Cluster Sampling One-Stage Two-Stage Multistage Sampling Sampling Sampling Simple Cluster Probability Sampling Proportionate to Size Sampling 32
  • 33. OTHER PROBABILITY SAMPLING TECHNIQUES • SEQUENTIAL SAMPLING: A probability sampling technique in which the population elements are sample sequentially, data collection and analysis are done at each stage and decision is made as to whether additional population elements should be sampled. • Double sampling: A sampling technique in which certain population element are sampled twice.
  • 34. Non Probability Sampling Technique Strengths Weaknesses Convenience Least expensive, least Selection bias, sample not time-consuming, most representative, not recommended for sampling convenient descriptive or causal research Judgmental Low cost, convenient, Does not allow generalization, sampling not time-consuming subjective Quota Sample can be controlled Selection bias, no assurance of sampling for certain characteristics representativeness Snowball Can estimate rare Time-consuming sampling characteristics 34
  • 35. Probability Sampling Technique Strengths Weaknesses Simple random Easily understood, Difficult to construct sampling sampling frame, expensive, lower precision, results projectable no assurance of representativeness. Systematic Can increase Can decrease representativeness sampling representativeness, easier to implement than sampling frame not necessary Stratified Include all important Difficult to select relevant sampling subpopulations, stratification variables, not feasible to precision stratify on many variables, expensive Cluster Easy to implement, cost Imprecise, difficult to compute and sampling effective interpret results 35
  • 36. THANK YOU 36

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