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Sampling theory

7/27/2014

 
The study of the relationships existing between the population and samples that are drawn from it is called as sampling theory. It is only the random samples on which the sampling theory is applied. In order to solve this purpose, universe is defined as a complete group of items for which knowledge is wanted which could be finite or infinite.

In the same way, universe is hypothetical or existent. In the case of hypothetical universe, the universe does not exist and one can only imagine the items that constitute it. When a coin is tossed or a dice thrown, it implies examples of hypothetical universe. On the contrary, universe of concrete elements is known as existent universe.

The term sample refers to that part of universe which is selected to investigate the current problem. Therefore, the theory of sampling is studying the relationships existing between the universe and the samples that are drawn from it.

The problem between a parameter and a statistic constitutes the basic problem of a sampling theory. It is concerned with estimating the right features of the population from those of the sample and also to gauge the correctness of the made estimate. This phenomenon of moving from specific towards general is known as statistical inference or statistical induction.


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