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Sampling Notes




SAMPLING

Sampling is a statistical procedure that is concerned with the selection of the individual observation; it helps us to make statistical inferences about the population.
In sampling, we assume that samples are drawn from the population and sample means and population means are equal. A population can be defined as a whole that includes all items and characteristics of the research taken into study. However, gathering all this information is time-consuming and costly. We therefore make inferences about the population with the help of samples.
There are two branches in statistics, descriptive and inferential statistics. Of these two main branches, statistical sampling concerns itself primarily with inferential statistics. The basic idea behind this type of statistics is to start with a statistical sample. After we have this sample, we then try to say something about the population. We very quickly realize the importance of our sampling method.
There are a variety of different types of samples in statistics. Each of these samples is named based upon how its members are obtained from the population. It is important to be able to distinguish between these different types of samples. Below is a list with a brief description of some of the most common statistical samples.


Different Types Of Sample
Random sample
Simple random sample
Voluntary response sample
Convenience sample
Systematic sample
Cluster sample
Stratified sample
      Random sampling.  In data collection, every individual observation has equal probability to be selected into a sample. In random sampling, there should be no pattern when drawing a sample. Significance: Significance is the per cent of chance that a relationship may be found in sample data due to luck. Researchers often use the 0.05% significance level.
Figure1Random sampling


Type of Random. Simple random sampling:  By using the random number generator technique, the researcher draws a sample from the population called simple random sampling. Simple random samplings are of two types. One is when samples are drawn with replacements, and the second is when samples are drawn without replacements.

Multistage stratified random sampling:  In multistage stratified random sampling, the proportion of strata is selected from a homogeneous group using simple random sampling. For example, from the nth class and nth stream, a sample is drawn called the multistage stratified random sampling.

Cluster sampling:  Cluster sampling occurs when a random sample is drawn from certain aggregation geographical groups.

Multistage cluster sampling: Multistage cluster sampling occurs when a researcher draws a random sample from the smaller unit of an aggregation group.

            Stratified sample. A stratified sample results when a population is split into at least two non-overlapping sub-populations.
Stratified random sampling is a type of probability sampling using which a research an organization can branch off the entire population into multiple non-overlapping, homogeneous groups (strata) and randomly choose final members from the various strata for research which reduces cost and improves efficiency. Members in each of these groups should be distinct so that every member of all groups get equal opportunity to be selected using simple probability. This sampling method is also called “random quota sampling”.
Age, socioeconomic divisions, nationality, religion, educational achievements and other such classifications fall under stratified random sampling.

Figure2 Stratified sample

Types of Stratified Random Sampling 

Proportionate stratified random sampling
 With proportionate stratification, the sample size of each stratum is proportionate to the population size of the stratum. This means that each stratum has the same sampling fraction.

Disproportionate stratified random sampling
With disproportionate stratification, the sampling fraction may vary from one stratum to the next.
Table 1 Advantages of Random Sampling & Stratified Sampling

 Random Sampling

Stratified Sampling
·         It offers a chance to perform data analysis that has less risk of carrying error
·         A stratified sample can provide greater precision than a simple random sample of the same size
·         There is an equal chance of selection
·         It provides greater precision, a stratified sample often requires a smaller sample, which saves money
·         It requires less knowledge to complete the
·         research
·         We can ensure that we obtain sufficient sample points to support a separate analysis of any subgroup
·         It is a simple form of data collection
·         Each the element of the population can be assigned to one, and only one, stratum


CONCLUSION

Random sampling is the purest form of probability sampling. Each member of the population has an equal and known chance of being selected. When there are very large populations, it is often difficult or impossible to identify every member of the population, so the pool of available subjects becomes biased. And Stratified sampling is a commonly used probability method that is superior to random sampling because it reduces sampling error. A stratum is a subset of the population that shares at least one common characteristic.

REFERENCE
(“stratified sampling method—Google Search,” n.d.)

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