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Sampling Technique in Statistics and Probability
Sampling is the process of selecting observations
(a sample) to provide an adequate description
and inferences of the population.
◾ Sample
⦿ It is a unit that is selected from
population
⦿ Represents the whole population
⦿ Purpose to draw the inference
◾ Why Sample???
◾ Sampling Frame
Listing of population from which
Population
Sample
Sampling
Frame
Sampling
Process
What you
want to
talk about
What
you
actually
observe
in the
data
Inference
Sampling Technique in Statistics and Probability
Sampling Technique in Statistics and Probability
Sampling Technique in Statistics and Probability
Sampling Technique in Statistics and Probability
⦿ All subsets of the frame are given an
equal probability.
⦿ Random number generators
Advantages:
⦿ Minimal knowledge of
population needed
⦿ Easy to analyze data
Disadvantages:
⦿ Low frequency of use
⦿ Does not use
researchers’ expertise
⦿ Larger risk of random
error
⦿ Population is divided into two or more
groups called strata
⦿ Subsamples are randomly selected from
each strata
Advantages:
⦿ Assures representation of all groups
in sample population
⦿ Characteristics of each stratum can
be estimated and comparisons made
Disadvantages:
⦿ Requires accurate information
on proportions of each stratum
⦿ Stratified lists costly to prepare
⦿ The population is divided into subgroups (clusters)
like families.
⦿ A simple random sample is taken from each cluster
Advantages:
⦿ Can estimate characteristics of both
cluster and population
Disadvantages:
⦿ The cost to reach an element to sample
is very high
⦿ Each stage in cluster sampling
introduces sampling error—the more
stages there are, the more error there
tends to be
⦿ Order all units in the sampling frame
⦿ Then every nth number on the list is
selected
⦿ N= Sampling Interval
Advantages:
⦿ Moderate cost; moderate
usage
⦿ Simple to draw sample
⦿ Easy to verify
Disadvantages:
⦿ Periodic ordering required
⦿ Carried out in stages
⦿ Using smaller and smaller sampling units at
each
stage
1
2
3
4
5
6
7
8
9
1 0
P r i m a r y
C l u s t e r s
1
2
3
4
5
6
7
8
9
1 0
1 1
1 2
1 3
1 4
1 5
S e c o n d a r y
C l u s t e r s S i m p l e R a n d o m S a m p l i n g w i t h i
n
S e c o n d a
Advantages:
⦿ More Accurate
⦿ More Effective
Disadvantages:
⦿ Costly
⦿ Each stage in sampling introduces sampling
error—the more stages there are, the more
error there tends to be
Sampling Technique in Statistics and Probability
⦿ The probability of each case being selected from
the total population is not known.
⦿ Units of the sample are chosen on the basis
of personal judgment or convenience.
⦿ There are NO statistical techniques for measuring
random sampling error in a non-probability sample.
⦿ A. Convenience Sampling
⦿ B. Quota Sampling
⦿ C. Judgmental Sampling (Purposive
Sampling)
⦿ D. Snowball sampling
⦿ E. Self-selection sampling
⦿ Convenience sampling involves choosing respondents
at the convenience of the researcher.
Advantages
⦿ Very low cost
⦿ Extensively used/understood
Disadvantages
⦿ Variability and bias cannot be measured or
controlled
⦿ Projecting data beyond sample not justified
⦿ Restriction of Generalization.
Sampling Technique in Statistics and Probability
⦿ The population is first segmented into mutually
exclusive sub-groups, just as in stratified sampling.
Advantages
⦿ Used when research budget is limited
⦿ Very extensively used/understood
⦿ No need for list of population elements
Disadvantages
⦿ Variability and bias cannot be
measured/controlled
⦿ Time Consuming
⦿ Researcher employs his or her own
"expert” judgment about.
Advantages
⦿ There is a assurance of Quality response
⦿ Meet the specific objective.
Disadvantages
⦿ Bias selection of sample may occur
⦿ Time consuming process.
⦿ The research starts with a key person
and introduce the next one to become a
chain
Advantages
⦿ Low cost
⦿ Useful in specific circumstances & for locating rare
populations
Disadvantages
⦿ Not independent
⦿ Projecting data beyond sample not justified
⦿ It occurs when you allow each case usually
individuals, to identify their desire to take part in the
research.
Advantages
⦿ More accurate
⦿ Useful in specific circumstances to serve the
purpose.
Disadvantages
⦿ More costly due to Advertizing
⦿ Mass are left
SAMPLING ERRORS
⦿ The errors which arise due to the use of
sampling surveys are known as the sampling
errors.
Two types of sampling errors
⦿ Biased Errors- Due to selection of
sampling techniques; size of the sample.
⦿ Unbiased Errors / Random sampling
errors- Differences between the members
of the population included or not included.
⦿ Specific problem selection.
⦿ Systematic documentation of related
research.
⦿ Effective enumeration.
⦿ Effective pre testing.
⦿ Controlling methodological bias.
⦿ Selection of appropriate sampling techniques.
⦿ Non-sampling errors refers to biases
and mistakes in selection of sample.
⦿ CAUSES FOR NON-SAMPLING ERRORS
 Sampling operations
 Inadequate of response
 Misunderstanding the concept
 Lack of knowledge
 Concealment of the truth.
 Loaded questions
 Processing errors
 Sample size
Sampling Technique in Statistics and Probability

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Sampling Technique in Statistics and Probability

  • 2. Sampling is the process of selecting observations (a sample) to provide an adequate description and inferences of the population. ◾ Sample ⦿ It is a unit that is selected from population ⦿ Represents the whole population ⦿ Purpose to draw the inference ◾ Why Sample??? ◾ Sampling Frame Listing of population from which
  • 3. Population Sample Sampling Frame Sampling Process What you want to talk about What you actually observe in the data Inference
  • 8. ⦿ All subsets of the frame are given an equal probability. ⦿ Random number generators
  • 9. Advantages: ⦿ Minimal knowledge of population needed ⦿ Easy to analyze data Disadvantages: ⦿ Low frequency of use ⦿ Does not use researchers’ expertise ⦿ Larger risk of random error
  • 10. ⦿ Population is divided into two or more groups called strata ⦿ Subsamples are randomly selected from each strata
  • 11. Advantages: ⦿ Assures representation of all groups in sample population ⦿ Characteristics of each stratum can be estimated and comparisons made Disadvantages: ⦿ Requires accurate information on proportions of each stratum ⦿ Stratified lists costly to prepare
  • 12. ⦿ The population is divided into subgroups (clusters) like families. ⦿ A simple random sample is taken from each cluster
  • 13. Advantages: ⦿ Can estimate characteristics of both cluster and population Disadvantages: ⦿ The cost to reach an element to sample is very high ⦿ Each stage in cluster sampling introduces sampling error—the more stages there are, the more error there tends to be
  • 14. ⦿ Order all units in the sampling frame ⦿ Then every nth number on the list is selected ⦿ N= Sampling Interval
  • 15. Advantages: ⦿ Moderate cost; moderate usage ⦿ Simple to draw sample ⦿ Easy to verify Disadvantages: ⦿ Periodic ordering required
  • 16. ⦿ Carried out in stages ⦿ Using smaller and smaller sampling units at each stage 1 2 3 4 5 6 7 8 9 1 0 P r i m a r y C l u s t e r s 1 2 3 4 5 6 7 8 9 1 0 1 1 1 2 1 3 1 4 1 5 S e c o n d a r y C l u s t e r s S i m p l e R a n d o m S a m p l i n g w i t h i n S e c o n d a
  • 17. Advantages: ⦿ More Accurate ⦿ More Effective Disadvantages: ⦿ Costly ⦿ Each stage in sampling introduces sampling error—the more stages there are, the more error there tends to be
  • 19. ⦿ The probability of each case being selected from the total population is not known. ⦿ Units of the sample are chosen on the basis of personal judgment or convenience. ⦿ There are NO statistical techniques for measuring random sampling error in a non-probability sample.
  • 20. ⦿ A. Convenience Sampling ⦿ B. Quota Sampling ⦿ C. Judgmental Sampling (Purposive Sampling) ⦿ D. Snowball sampling ⦿ E. Self-selection sampling
  • 21. ⦿ Convenience sampling involves choosing respondents at the convenience of the researcher. Advantages ⦿ Very low cost ⦿ Extensively used/understood Disadvantages ⦿ Variability and bias cannot be measured or controlled ⦿ Projecting data beyond sample not justified ⦿ Restriction of Generalization.
  • 23. ⦿ The population is first segmented into mutually exclusive sub-groups, just as in stratified sampling. Advantages ⦿ Used when research budget is limited ⦿ Very extensively used/understood ⦿ No need for list of population elements Disadvantages ⦿ Variability and bias cannot be measured/controlled ⦿ Time Consuming
  • 24. ⦿ Researcher employs his or her own "expert” judgment about. Advantages ⦿ There is a assurance of Quality response ⦿ Meet the specific objective. Disadvantages ⦿ Bias selection of sample may occur ⦿ Time consuming process.
  • 25. ⦿ The research starts with a key person and introduce the next one to become a chain Advantages ⦿ Low cost ⦿ Useful in specific circumstances & for locating rare populations Disadvantages ⦿ Not independent ⦿ Projecting data beyond sample not justified
  • 26. ⦿ It occurs when you allow each case usually individuals, to identify their desire to take part in the research. Advantages ⦿ More accurate ⦿ Useful in specific circumstances to serve the purpose. Disadvantages ⦿ More costly due to Advertizing ⦿ Mass are left
  • 28. ⦿ The errors which arise due to the use of sampling surveys are known as the sampling errors. Two types of sampling errors ⦿ Biased Errors- Due to selection of sampling techniques; size of the sample. ⦿ Unbiased Errors / Random sampling errors- Differences between the members of the population included or not included.
  • 29. ⦿ Specific problem selection. ⦿ Systematic documentation of related research. ⦿ Effective enumeration. ⦿ Effective pre testing. ⦿ Controlling methodological bias. ⦿ Selection of appropriate sampling techniques.
  • 30. ⦿ Non-sampling errors refers to biases and mistakes in selection of sample. ⦿ CAUSES FOR NON-SAMPLING ERRORS  Sampling operations  Inadequate of response  Misunderstanding the concept  Lack of knowledge  Concealment of the truth.  Loaded questions  Processing errors  Sample size