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Sampling

Meaning, Types, Procedure

Dr Mira K Desai
University Department of Extension
Education

S.N.D.T. Women’s University
When do we do sampling?
 Covering

entire population is practically
impossible and the population is infinite.
 When the results are required in a short time.
 When the area of study is wide.
 When resources are limited particularly in
respect of money and trained persons.
 When the item or unit is destroyed under
investigation.
Why Sampling?
 Scientific

approach - Inductive reasoning
 Economy - time, money, resources
 Quick- procedure is faster
 Accurate- results can be accurate
 Quality- can be improved
 Estimation- adequate and tentative measure
 Reliable- error and accuracy
 Absence of researcher bias
Steps in Sampling
 Deciding

universe/population
 Is population under study finite or infinite?
 Decision about sample Size, Frame
 Deciding sampling design (Type &
Procedure)
 Calculating sampling error
 Statistical generalization…replication
What is Universe/Population-Sample?
UNIVERSE: All the individuals/things/events/
documents etc. having designated set of
specifications which a study intends to cover.
POPULATION: All the individuals/things/events/
documents etc. confirming to the designated set
of specifications which the study in particular
covers.
SAMPLE: In relation to population,
representative population, miniature or
aggregate of population.
Here is the example….
 UNIVERSE:

Children in Mumbai.
 POPULATION: Children in the age group of 5
to 10 years, from GMUA, who stay with their
families, and who attend private schools.
 SAMPLE: Children residing in the Suburban
areas of Mumbai and attending to Podar,
Jamanabai, Manekji Kooper and Uttpal
Sanghavi Schools.
Population versus Sample
 Population

= Parameter (N-size, μ-mean, s-SD)
 Sample = Statistics (n-size, x- Mean, SD-SD)
 Statistics gives estimates about parameter.
 A finite subset of statistical individuals defined in
a population is called a sample.
 The number of units in a sample is called the
sample size.
 The list of the units of sample is sample frame.
Model for Sampling

Objectives
RESOURCES
Cost
Time
Human
Technical

Target Group
Sampling
Size
Frame
Techniques
Procedure

TYPE OF STUDY
Survey
Historical
Experiment
Ethnographic
Case study
Types of Sampling
Probability

sampling
Non-probability sampling
Mixed methods or Multi-stage
sampling
Types of Sampling
PROBABILITY
[Equal chance,
Estimation of chance]






Simple Random
Systematic Random
Stratified Random
PPS
Area/Cluster

NON-PROBABILITY
[All do not have chance,
No way to
estimate/specify chance]
Accidental/Incidental/

Convenience/Available
 Purposive/ Expert
choice/ Judgmental
 Quota
 Sequential
Snow ball
Pre-conditions for
Probability Sampling
 Population

is finite
 Listing of all the units of the population
 Possibility of selection of units at random
 Each unit having equal chance of getting
selected
 Estimation of chance of selection
 Estimation of error in case of non-selection
Simple Random
Method:
 Chits
 Random number tables
 Blind folded pointers
Limitations:
 Time consuming
 Impractical and deviant
 Expensive
Systematic Random
Method:
 Size = Total Number/Required Number
 Random beginning at a particular interval
 Limitations:
 Time consuming
 Difficult if high variance in population
 At times the cost of data collection is high
Stratified Random Sampling
Method:
 Formation of strata
 Variance among stratum not within stratum
 Random subgroups/strata/correlated
categories
Limitations:
 Base is the strata, need to know the units
 Bigger strata may lead to over representation
PPS- Proportionate to Population

Sampling/ Probability Proportional to
Size
Method:
 Simple random in stratum
 Proportionate to the population in the stratum
Limitations:
 Time consuming and expensive
 Needs estimates of exact population to decide
proportions
Area/Cluster Sampling
Method:
 Assumption of homogeneity in the cluster
 Usually part of multi-stage design
Limitations:
 Deviance or variance within the cluster
 Cluster need to be carefully defined
Multi-stage Sampling Example
1st: Administrative Ward (Lottery Method)
2nd:Election Ward (Lottery Method)
3rd: Geographic Location for first unit (Purposively)
4th: Identifying Housing society/ Chawl /Flats/Slums
(Random)
5th: Locating household having sample
characteristics (Purposive)
6th: Male and female equal ratio through quota
(Snow Ball)
Keep in mind….
 Higher

population variance = Higher S. error
 Higher Sampling error = Lower sample reliability
 Higher sample size = Lower Sampling error
 Higher sample size = Lesser sample reliability
Decision about Sample size
 Degree

of accuracy
 Extent of variation in population with reference
to key characteristics
 Size of the population
 Tolerable limits of sampling error
 Degree of stratification
Calculation of sample size
For a survey design based on a simple random sample,
Formula:
n=

t² x p(1-p)
m²

Where,
n = required sample size
t = confidence level at 95% (standard value of 1.96)
p = estimated prevalence of measure
m = margin of error at 5% (standard value of 0.05)
Good sampling design
 Adequate

(larger the size better it is)
 Accurate & Reliable (least sampling
errors)
 Representative (contains all the
properties of the population)
 Maximum information about population at
minimum cost, time and human power

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Sampling

  • 1. Sampling Meaning, Types, Procedure Dr Mira K Desai University Department of Extension Education S.N.D.T. Women’s University
  • 2. When do we do sampling?  Covering entire population is practically impossible and the population is infinite.  When the results are required in a short time.  When the area of study is wide.  When resources are limited particularly in respect of money and trained persons.  When the item or unit is destroyed under investigation.
  • 3. Why Sampling?  Scientific approach - Inductive reasoning  Economy - time, money, resources  Quick- procedure is faster  Accurate- results can be accurate  Quality- can be improved  Estimation- adequate and tentative measure  Reliable- error and accuracy  Absence of researcher bias
  • 4. Steps in Sampling  Deciding universe/population  Is population under study finite or infinite?  Decision about sample Size, Frame  Deciding sampling design (Type & Procedure)  Calculating sampling error  Statistical generalization…replication
  • 5. What is Universe/Population-Sample? UNIVERSE: All the individuals/things/events/ documents etc. having designated set of specifications which a study intends to cover. POPULATION: All the individuals/things/events/ documents etc. confirming to the designated set of specifications which the study in particular covers. SAMPLE: In relation to population, representative population, miniature or aggregate of population.
  • 6. Here is the example….  UNIVERSE: Children in Mumbai.  POPULATION: Children in the age group of 5 to 10 years, from GMUA, who stay with their families, and who attend private schools.  SAMPLE: Children residing in the Suburban areas of Mumbai and attending to Podar, Jamanabai, Manekji Kooper and Uttpal Sanghavi Schools.
  • 7. Population versus Sample  Population = Parameter (N-size, μ-mean, s-SD)  Sample = Statistics (n-size, x- Mean, SD-SD)  Statistics gives estimates about parameter.  A finite subset of statistical individuals defined in a population is called a sample.  The number of units in a sample is called the sample size.  The list of the units of sample is sample frame.
  • 8. Model for Sampling Objectives RESOURCES Cost Time Human Technical Target Group Sampling Size Frame Techniques Procedure TYPE OF STUDY Survey Historical Experiment Ethnographic Case study
  • 9. Types of Sampling Probability sampling Non-probability sampling Mixed methods or Multi-stage sampling
  • 10. Types of Sampling PROBABILITY [Equal chance, Estimation of chance]      Simple Random Systematic Random Stratified Random PPS Area/Cluster NON-PROBABILITY [All do not have chance, No way to estimate/specify chance] Accidental/Incidental/ Convenience/Available  Purposive/ Expert choice/ Judgmental  Quota  Sequential Snow ball
  • 11. Pre-conditions for Probability Sampling  Population is finite  Listing of all the units of the population  Possibility of selection of units at random  Each unit having equal chance of getting selected  Estimation of chance of selection  Estimation of error in case of non-selection
  • 12. Simple Random Method:  Chits  Random number tables  Blind folded pointers Limitations:  Time consuming  Impractical and deviant  Expensive
  • 13. Systematic Random Method:  Size = Total Number/Required Number  Random beginning at a particular interval  Limitations:  Time consuming  Difficult if high variance in population  At times the cost of data collection is high
  • 14. Stratified Random Sampling Method:  Formation of strata  Variance among stratum not within stratum  Random subgroups/strata/correlated categories Limitations:  Base is the strata, need to know the units  Bigger strata may lead to over representation
  • 15. PPS- Proportionate to Population Sampling/ Probability Proportional to Size Method:  Simple random in stratum  Proportionate to the population in the stratum Limitations:  Time consuming and expensive  Needs estimates of exact population to decide proportions
  • 16. Area/Cluster Sampling Method:  Assumption of homogeneity in the cluster  Usually part of multi-stage design Limitations:  Deviance or variance within the cluster  Cluster need to be carefully defined
  • 17. Multi-stage Sampling Example 1st: Administrative Ward (Lottery Method) 2nd:Election Ward (Lottery Method) 3rd: Geographic Location for first unit (Purposively) 4th: Identifying Housing society/ Chawl /Flats/Slums (Random) 5th: Locating household having sample characteristics (Purposive) 6th: Male and female equal ratio through quota (Snow Ball)
  • 18. Keep in mind….  Higher population variance = Higher S. error  Higher Sampling error = Lower sample reliability  Higher sample size = Lower Sampling error  Higher sample size = Lesser sample reliability
  • 19. Decision about Sample size  Degree of accuracy  Extent of variation in population with reference to key characteristics  Size of the population  Tolerable limits of sampling error  Degree of stratification
  • 20. Calculation of sample size For a survey design based on a simple random sample, Formula: n= t² x p(1-p) m² Where, n = required sample size t = confidence level at 95% (standard value of 1.96) p = estimated prevalence of measure m = margin of error at 5% (standard value of 0.05)
  • 21. Good sampling design  Adequate (larger the size better it is)  Accurate & Reliable (least sampling errors)  Representative (contains all the properties of the population)  Maximum information about population at minimum cost, time and human power