
Accession Number : AD0600278
Title : ON THE ESTIMATION OF CONTRASTS IN LINEAR MODELS.
Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES
Personal Author(s) : Puri,Madan L. ; Bhuchongkul,Subha
Report Date : APR 1964
Pagination or Media Count : 13
Abstract : In linear models with several observations per cell, a class of estimates of all contrasts are defined in terms of rank test statistics or normal scores statistic. The asymptotic efficiency of these estimates relative to the standard least squares estimates, as the number of observations in each cell gets large, is shown to be the same as the Pitman efficiency of the rank tests on which they are based to the corresponding ttests. (Author)
Descriptors : (*STATISTICAL TESTS, MATHEMATICAL MODELS), (*LINEAR SYSTEMS, MATHEMATICAL MODELS), STATISTICAL DISTRIBUTIONS, MATRICES(MATHEMATICS), PROBABILITY, LEAST SQUARES METHOD
Distribution Statement : APPROVED FOR PUBLIC RELEASE