Alternative Estimators for Point-Poisson Sampling

Author: Schreuder H. T.   Brink G. E.   Wilson R. L.  

Publisher: Society of American Foresters

ISSN: 0015-749X

Source: Forest Science, Vol.30, Iss.3, 1984-09, pp. : 803-812

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Abstract

A new jackknife-based variance estimate is derived for point-Poisson (point-3P) sampling. This variance estimate is shown to be superior to most estimates derived assuming point-pps with or without replacement sampling, for a population with a very strong linear relationship between the variable of interest and the covariate used for sample selection and estimation. Only a variance estimate suggested by L. Grosenbaugh is equally good. This variance estimate is recommended since it is simplest to compute. Both the standard point-Poisson and a proposed unbiased jackknife estimate of total volume are about equally efficient. Forest Sci. 30:803-812.