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Sampling Design
R.VASANTHAGOPAL PhD
University of Kerala
26 April 2020 R.Vasanthagopal PhD 2
Research
 Research-
 organized set of activities
 to find practical solution
 for a realistic problem
 supported by data
Research Process
 Formulating the research problem
 Survey and review of literature
 Asking research questions and developing hypothesis
 Deciding on the research design
 Sampling design
 Collecting data
 Analysis and interpretation of data
 Testing the hypotheses
 Findings, conclusion and suggestions
 Report writing
26 April 2020 R.Vasanthagopal PhD 3
Sampling Design…..
26 April 2020 R.Vasanthagopal PhD 4
Design of a sample refers to
the method used to collect the
data
A proper sampling design
must start with a sample
which is representative of the
population
Census Vs. Sampling
26 April 2020 R.Vasanthagopal PhD 5
Investigation of
all individual
elements
Using a small
number of items
of larger
population
Impracticable to
survey the entire
population
Budget
constraints
Time constraints
Immediate need
of results
Target Population, Study Population and Sample
26 April 2020 R.Vasanthagopal PhD 6
Sampling frame: The list from which the
potential respondents are drawn viz. list
of employees
Sampling Scheme/Methods/Techniques
26 April 2020 R.Vasanthagopal PhD 7
All units in
the
population
have an
equal
probability of
being chosen
Sample
selection
not based
on the
rationale of
probability
theory
Probability Vs. Non-probability Sampling
26 April 2020 R.Vasanthagopal PhD 8
What is Appropriate Sample Design?
 Degree of accuracy
 Resources
 Time
 Need for statistical analysis
 Representative of the population
 Appropriately sized (the larger the better)
 Random (selections occur by chance)
26 April 2020 R.Vasanthagopal PhD 9
Determination of Sample Size
A survey estimated that 20% of all
Indians aged 21 to 35 drove under
the influence of alcohol. A similar
survey is planned for Kerala. They
want a 95% confidence interval to
have a margin of error of 0.04.
26 April 2020 R.Vasanthagopal PhD 10
n=.20(1-.20)1.96x1.96/.04x.04
=384.2
Note: z is the z-score, e.g. 1.645 for a 90%
confidence interval,1.96 for a 95% confidence
interval, 2.58 for a 99% confidence interval
Note: Typical surveys have margins of error ranging from
less than 1% to something of the order of 4% - we can
choose any margin of error we like but need to specify it.
Sample size formula
n=N/1+Ne2
Solvin’s(1960) Formula(When population is known.
Where e=Margin of error

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Sampling Design

  • 2. 26 April 2020 R.Vasanthagopal PhD 2 Research  Research-  organized set of activities  to find practical solution  for a realistic problem  supported by data
  • 3. Research Process  Formulating the research problem  Survey and review of literature  Asking research questions and developing hypothesis  Deciding on the research design  Sampling design  Collecting data  Analysis and interpretation of data  Testing the hypotheses  Findings, conclusion and suggestions  Report writing 26 April 2020 R.Vasanthagopal PhD 3
  • 4. Sampling Design….. 26 April 2020 R.Vasanthagopal PhD 4 Design of a sample refers to the method used to collect the data A proper sampling design must start with a sample which is representative of the population
  • 5. Census Vs. Sampling 26 April 2020 R.Vasanthagopal PhD 5 Investigation of all individual elements Using a small number of items of larger population Impracticable to survey the entire population Budget constraints Time constraints Immediate need of results
  • 6. Target Population, Study Population and Sample 26 April 2020 R.Vasanthagopal PhD 6 Sampling frame: The list from which the potential respondents are drawn viz. list of employees
  • 7. Sampling Scheme/Methods/Techniques 26 April 2020 R.Vasanthagopal PhD 7 All units in the population have an equal probability of being chosen Sample selection not based on the rationale of probability theory
  • 8. Probability Vs. Non-probability Sampling 26 April 2020 R.Vasanthagopal PhD 8
  • 9. What is Appropriate Sample Design?  Degree of accuracy  Resources  Time  Need for statistical analysis  Representative of the population  Appropriately sized (the larger the better)  Random (selections occur by chance) 26 April 2020 R.Vasanthagopal PhD 9
  • 10. Determination of Sample Size A survey estimated that 20% of all Indians aged 21 to 35 drove under the influence of alcohol. A similar survey is planned for Kerala. They want a 95% confidence interval to have a margin of error of 0.04. 26 April 2020 R.Vasanthagopal PhD 10 n=.20(1-.20)1.96x1.96/.04x.04 =384.2 Note: z is the z-score, e.g. 1.645 for a 90% confidence interval,1.96 for a 95% confidence interval, 2.58 for a 99% confidence interval Note: Typical surveys have margins of error ranging from less than 1% to something of the order of 4% - we can choose any margin of error we like but need to specify it. Sample size formula n=N/1+Ne2 Solvin’s(1960) Formula(When population is known. Where e=Margin of error