Accession Number : AD0690886

Title :   A DOUBLE SAMPLING SCHEME FOR ESTIMATING FROM MISCLASSIFIED BINOMIAL DATA.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DEPT OF STATISTICS

Personal Author(s) : Tenenbein,Aaron

Report Date : 16 JUN 1969

Pagination or Media Count : 38

Abstract : Two measuring devices are available to classify units into one or two mutually exclusive categories. The first device is an expensive procedure which classifies units correctly; the second device is a cheaper procedure which tends to misclassify units. In order to estimate p, the proportion of units in the population which belong to one of the categories, a double sampling scheme is presented. At the first stage, a sample of N units is taken and the fallible classifications are obtained; at the second stage of subsample of n units is drawn from the main sample and the true classifications are obtained. The maximum likelihood estimate of p is derived along with its asymptotic variance. Optimum values of n and N which minimize the measurement costs for a fixed variance of estimation and which minimize the variance for fixed cost are derived.

Descriptors :   (*SAMPLING, STATISTICAL DATA), (*STATISTICAL DATA, RELIABILITY), DECISION MAKING, CLASSIFICATION, POPULATION(MATHEMATICS), MEASUREMENT, ERRORS, PROBABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE