Notes: The Gain in Efficiency in ps Sampling over Poisson Sampling
Abstract:A ratio is derived for the relative efficiency of mean-of-ratio estimation for ps sampling without replacement relative to Poisson sampling, assuming the model for which ps sampling with this estimator is optimum. This efficiency ratio is R = 1 + 1/ne where ne = the expected sample size in Poisson sampling and the sample size used in pps sampling. ps sampling from the cumulated x-values, a replacement sampling scheme, is compared to Poisson sampling in a simulation study using four sets of three populations, where two populations in each set are realizations of the optimal linear model for ps sampling with the Horvitz-Thompson estimator, and the third is an actual data set. The derived ratio is a good indicator of the gain in efficiency of ps sampling relative to Poission sampling. This is confirmed by simulation results from some populations. For. Sci. 36(4):1146-1152.
Document Type: Miscellaneous
Affiliations: Project Leader, Rocky Mountain Forest and Range Experiment Station, 240 West Prospect St., Ft. Collins, CO 80526
Publication date: 1990-12-01
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