Question

The number of possible samples of size n out of N population units without replacement is

Answer 1

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Answer 2

The number of possible samples of size n out of N population units without replacement is Probability Proportional to Size” (PPS ) sampling.

• We assume that samples are chosen with equal probability for all elements of the population in random selection without replacement. If the units differ in size significantly, SRSWOR may not be appropriate since it does not account for the potential relevance of the various sizes of the units in the population.
• In reality, a bigger variable Y unit may contribute more to the population total than smaller ones. Villages with greater geographical regions, for example, are more able to achieve a higher population and a larger area under food crops.
• In comparision to equal probability, it is normal to predict that a selection scheme that provides the likelihood of selection in the sample to bigger units, as well as smaller units, will have more economical estimators. This is a sort of sampling where the probability varies depending on the size of the units. PPS sampling stands for "Probability Proportional to Size" sample.