Accession Number : AD0769841

Title :   The Comparison of Several Response Functions with a Standard.

Descriptive Note : Research rept.,

Corporate Author : VIRGINIA POLYTECHNIC INST AND STATE UNIV BLACKSBURG DEPT OF STATISTICS

Personal Author(s) : Jensen,Donald R.

Report Date : 01 DEC 1973

Pagination or Media Count : 22

Abstract : Let (*B sub 0, B sub 1,...,B sub k) be r-dimensional parameters associated with k+1 response models of similar type. In the study the author undertakes the simultaneous comparison of (B sub 1,...,B sub k) against (B sub 0) as standard. Variance ratio statistics are given; their joint distribution is described; and conservative procedures are found using Scheffe type projections onto suitable r-dimensional linear subspaces. Under further structure probability bounds for the joint distribution of the several statistics are given in terms of their marginal distributions. A numerical illustration is provided. (Author)

Descriptors :   (*Statistical distributions, Analysis of variance), Statistical tests, Least squares method, Matrices(Mathematics), Biometry, Theorems, Probability

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE