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Simple Random Sampling
Systematic Sampling
Cluster Sampling
Stratified Random Sampling
Probability sampling (or representative sampling) is most commonly
associated with survey-based research strategies where you need to
make inferences from your sample about a population to answer your
research question(s) or to meet your objectives.
The process of probability sampling can be divided into four stages:
1 Identify a suitable sampling frame based on your research question(s)
or objectives.
2 Decide on a suitable sample size.
3 Select the most appropriate sampling technique and select the sample.
4 Check that the sample is representative of the population.
➢Cost Effective
➢Involves lesser degree of judgment
➢Comparatively easier way of sampling
➢Less time consuming
➢Can be done even by non- technical persons
➢Sample representative of population
➢The absence of systematic error and sampling bias
➢Higher level of reliability of research findings
➢Increased accuracy of sampling error estimation
➢The possibility to make inferences about the population
➢Redundant and monotonous work - repetitive job to assign
the number
➢Chances of selecting specific class of samples only
➢Higher complexity compared to non-probability sampling
➢More time consuming
➢Usually more expensive than non-probability sampling
Advantages Cluster Sampling
➢Very useful when populations are large and spread over a large
geographical region
➢Economically efficient
➢Reduce field costs
➢Applicable when no complete list of units is available
Disadvantages of Cluster Sampling
➢Statistically less efficient i.e. Standard error of the estimate is likely to be
large
➢Representation is likely to become an issue
Stratified random sampling is a modification of random sampling in which
you divide the population into two or more relevant and significant strata
based on one or a number of attributes.
In effect, your sampling frame is divided into a number of subsets.
A random sample (simple or systematic) is then drawn from each of the
strata.
Dividing the population into a series of relevant strata means that the
sample is more likely to be representative, as you can ensure that each
of the strata is represented proportionally within your sample.
However, it is only possible to do this if you are aware of, and can easily
distinguish, significant strata in your sampling frame.
If the population from which a sample is to be drawn does not constitute a
homogeneous group, then stratified sampling technique is applied so as
to obtain a representative sample.
In this technique, the population is stratified into a number of non-
overlapping subpopulations or strata and sample items are selected from
each stratum.
If the items selected from each stratum is based on simple random
sampling the entire procedure, first stratification and then simple random
sampling, is known as stratified random sampling.
In some instances ,as pointed out by deVaus(2002),your
sampling frame will already be divided into strata.
A sampling frame of employee names that is in alphabetical
order will automatically ensure that, if systematic sampling is
used (discussed earlier), employees will be sampled in the
correct proportion to the letter with which their name begins.
Similarly, membership lists that are ordered by date of joining
will automatically result in stratification by length of
membership if systematic sampling is used.
Samples can be stratified using more than one characteristic.
You may wish to stratify a sample of an organisation’s employees by
both department and salary grade.
To do this you would:
1 divide the sampling frame into the discrete departments.
2 Within each department divide the sampling frame into discrete salary
grades.
3 Number each of the cases within each salary grade within each
department with a unique number, as discussed earlier.
4 Select your sample using either simple random or systematic
sampling, as discussed earlier.
Disadvantages of Stratified RS
➢Requires accurate knowledge of population
➢May be costly to prepare stratified lists
➢Statistics are more complicated
Advantages of Stratified RS
➢Provide greater precision than a SRS of the same size
➢Often requires a smaller an unrepresentative sample
➢Focuses on important subpopulations but ignores irrelevant
ones
When the population is homogenous it is applicable. A random
selection is made of the first element for the sample and then
subsequent elements are selected using a fixed or systematic
interval until the desired sample size is reached.
Examples:
Suppose it is desired to select a sample of 20 students from a list
of 300 students. Divide the population total of 300/20, the quotient
is 15, select a random number between 1 to 15 using lottery
method or a table of random numbers.
Suppose the selected number is 9 then the students numberd
9,24,39,. i.e. 9 (9+15)=24, (24+15)=39.
Systematic sampling involves you selecting the sample at regular
intervals from the sampling frame.
To do this you:
1 Number each of the cases in your sampling frame with a unique number.
The first case is numbered 0, the second 1 and so on.
2 Select the first case using a random number.
3 Calculate the sampling fraction.
4 Select subsequent cases systematically using the sampling fraction to
determine the frequency of selection.
To calculate the sampling fraction – that is, the proportion of the total
population that you need to select – you use the formula
Sampling fraction = actual sample size/ Total Population.
If your sampling fraction is 1⁄3 you need to select one in every three
cases – that is, every third case from the sampling frame.
Unfortunately, your calculation will usually result in a more complicated
fraction. In these instances it is normally acceptable to round your
population down to the nearest 10 (or 100) and to increase your
minimum sample size until a simpler sampling fraction can be
calculated.
Advantages
➢Sample easy to select
➢Suitable sampling frame can be identified easily
➢Sample evenly spread over entire reference population
➢Sampling error easily measured
Disadvantages
➢Sample may be biased if hidden periodicity in population coincides with that
selection
➢Difficult to assess precision of estimate from one survey
➢Need complete list of units
➢Probability Sampling, Advantages, Disadvantages. Retrieved From:
https://www.mathstopia.net/sampling/probability-sampling-advantages-
disadvantages
➢Kothari, C. R. (2004). Research methodology: Methods and techniques. New
Age International.
➢Sekaran, U., & Bougie, R. (2016). Research methods for business: A skill
building approach. John Wiley & Sons.

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Probability Sampling Method- Concept - Types

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Simple Random Sampling Systematic Sampling Cluster Sampling Stratified Random Sampling
  • 10. Probability sampling (or representative sampling) is most commonly associated with survey-based research strategies where you need to make inferences from your sample about a population to answer your research question(s) or to meet your objectives. The process of probability sampling can be divided into four stages: 1 Identify a suitable sampling frame based on your research question(s) or objectives. 2 Decide on a suitable sample size. 3 Select the most appropriate sampling technique and select the sample. 4 Check that the sample is representative of the population.
  • 11. ➢Cost Effective ➢Involves lesser degree of judgment ➢Comparatively easier way of sampling ➢Less time consuming ➢Can be done even by non- technical persons ➢Sample representative of population ➢The absence of systematic error and sampling bias ➢Higher level of reliability of research findings ➢Increased accuracy of sampling error estimation ➢The possibility to make inferences about the population
  • 12. ➢Redundant and monotonous work - repetitive job to assign the number ➢Chances of selecting specific class of samples only ➢Higher complexity compared to non-probability sampling ➢More time consuming ➢Usually more expensive than non-probability sampling
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20.
  • 21. Advantages Cluster Sampling ➢Very useful when populations are large and spread over a large geographical region ➢Economically efficient ➢Reduce field costs ➢Applicable when no complete list of units is available Disadvantages of Cluster Sampling ➢Statistically less efficient i.e. Standard error of the estimate is likely to be large ➢Representation is likely to become an issue
  • 22. Stratified random sampling is a modification of random sampling in which you divide the population into two or more relevant and significant strata based on one or a number of attributes. In effect, your sampling frame is divided into a number of subsets. A random sample (simple or systematic) is then drawn from each of the strata. Dividing the population into a series of relevant strata means that the sample is more likely to be representative, as you can ensure that each of the strata is represented proportionally within your sample. However, it is only possible to do this if you are aware of, and can easily distinguish, significant strata in your sampling frame.
  • 23. If the population from which a sample is to be drawn does not constitute a homogeneous group, then stratified sampling technique is applied so as to obtain a representative sample. In this technique, the population is stratified into a number of non- overlapping subpopulations or strata and sample items are selected from each stratum. If the items selected from each stratum is based on simple random sampling the entire procedure, first stratification and then simple random sampling, is known as stratified random sampling.
  • 24.
  • 25. In some instances ,as pointed out by deVaus(2002),your sampling frame will already be divided into strata. A sampling frame of employee names that is in alphabetical order will automatically ensure that, if systematic sampling is used (discussed earlier), employees will be sampled in the correct proportion to the letter with which their name begins. Similarly, membership lists that are ordered by date of joining will automatically result in stratification by length of membership if systematic sampling is used.
  • 26. Samples can be stratified using more than one characteristic. You may wish to stratify a sample of an organisation’s employees by both department and salary grade. To do this you would: 1 divide the sampling frame into the discrete departments. 2 Within each department divide the sampling frame into discrete salary grades. 3 Number each of the cases within each salary grade within each department with a unique number, as discussed earlier. 4 Select your sample using either simple random or systematic sampling, as discussed earlier.
  • 27. Disadvantages of Stratified RS ➢Requires accurate knowledge of population ➢May be costly to prepare stratified lists ➢Statistics are more complicated Advantages of Stratified RS ➢Provide greater precision than a SRS of the same size ➢Often requires a smaller an unrepresentative sample ➢Focuses on important subpopulations but ignores irrelevant ones
  • 28. When the population is homogenous it is applicable. A random selection is made of the first element for the sample and then subsequent elements are selected using a fixed or systematic interval until the desired sample size is reached. Examples: Suppose it is desired to select a sample of 20 students from a list of 300 students. Divide the population total of 300/20, the quotient is 15, select a random number between 1 to 15 using lottery method or a table of random numbers. Suppose the selected number is 9 then the students numberd 9,24,39,. i.e. 9 (9+15)=24, (24+15)=39.
  • 29. Systematic sampling involves you selecting the sample at regular intervals from the sampling frame. To do this you: 1 Number each of the cases in your sampling frame with a unique number. The first case is numbered 0, the second 1 and so on. 2 Select the first case using a random number. 3 Calculate the sampling fraction. 4 Select subsequent cases systematically using the sampling fraction to determine the frequency of selection.
  • 30.
  • 31. To calculate the sampling fraction – that is, the proportion of the total population that you need to select – you use the formula Sampling fraction = actual sample size/ Total Population. If your sampling fraction is 1⁄3 you need to select one in every three cases – that is, every third case from the sampling frame. Unfortunately, your calculation will usually result in a more complicated fraction. In these instances it is normally acceptable to round your population down to the nearest 10 (or 100) and to increase your minimum sample size until a simpler sampling fraction can be calculated.
  • 32. Advantages ➢Sample easy to select ➢Suitable sampling frame can be identified easily ➢Sample evenly spread over entire reference population ➢Sampling error easily measured Disadvantages ➢Sample may be biased if hidden periodicity in population coincides with that selection ➢Difficult to assess precision of estimate from one survey ➢Need complete list of units
  • 33. ➢Probability Sampling, Advantages, Disadvantages. Retrieved From: https://www.mathstopia.net/sampling/probability-sampling-advantages- disadvantages ➢Kothari, C. R. (2004). Research methodology: Methods and techniques. New Age International. ➢Sekaran, U., & Bougie, R. (2016). Research methods for business: A skill building approach. John Wiley & Sons.