ABSTRACT

Sampling from a finite population can be carried out with replacement in which the items drawn successively are returned to the population. Or it may be conducted without replacement in which the selected items are successively discarded. In the former scheme the nature of the population remains unaffected as a consequence of the sampling. In the latter scheme, the nature of the population is altered. In addition from a probabilistic point of view, the two schemes are vitally different. In sampling with replacement the successive trials (or draws) are independent while in a without replacement scheme the trials are no longer independent.