A simple random sample is a subset of a statistical population where each member of the population is equally likely to be chosen.

The results obtained by the authors so far on controlled sampling with equal probabilities and without replacement have been consolidated in this paper in an integrated fashion. Utilizing these ...

As an estimator of the population mean, the sample mean based only on the distinct units possesses a remarkable invariance property. Under three forms of simple random sampling, viz. simple random ...

A simple random sample is used to represent the entire data population. A stratified random sample divides the population into smaller groups based on shared characteristics.

The method of simple random sampling (METHOD=SRS) selects units with equal probability and without replacement. Each possible sample of n different units out of N has the same probability of being ...

In simple random sampling, each unit has an equal probability of selection, and sampling is without replacement. Without-replacement sampling means that a unit cannot be selected more than once.

The derivations are based on a direct use of the statistical properties of the sampling errors in the second stage. For the ease of exposition we examine the specific case that simple random sampling ...