SAMPLING WITH PARTIAL REPLACEMENT AND STRATIFICATION

Sampling with Partial Replacement (SPR) is extended to double sampling for stratification on three occasions based on the two-occasion case presented by Bickford et al. (1963). Ware and Cunia's (1962) unbiased estimator of net change is extended to double sampling for stratificat ion on two and three occasions. A closed form solution is presented fo r the two-occasion case. However, the net change estimator in the seco nd-occasion case requires solving a system of seven equations. The est imators presented make it possible to use Sampling with Partial Replac ement on two or three occasions, with simple random sampling, stratifi ed random sampling, or double sampling for stratification; and, for es timation of current attributes, their net change between occasions, an d components of growth.