Accession Number : AD0685599

Title :   MULTIVARIATE PAIRED COMPARISONS: SOME LARGE-SAMPLE RESULTS ON ESTIMATION AND TESTS OF EQUALITY OF PREFERENCE.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Davidson,Roger R. ; Bradley,Ralph A.

Report Date : MAR 1969

Pagination or Media Count : 26

Abstract : The paper is a second one on multivariate paired comparisons. The first paper contained the methodology and this paper contains some large-sample results on estimation and test of preference equality. The limiting normal distribution is derived for the joint distribution of estimators for attribute preferences and correlations; the dispersion matrix derived indicates desired asymptotic variances and covariances. The likelihood ratio test of equality of preference parameters has the noncentral chi-square limiting distribution and its noncentrality parameter is given under local alternatives. Asymptotic efficiencies of the method of paired comparisons relative to a multiple multivariate sign test are computed.

Descriptors :   (*MULTIVARIATE ANALYSIS, CORRELATION TECHNIQUES), SAMPLING, STATISTICAL TESTS, ANALYSIS OF VARIANCE, STATISTICAL DISTRIBUTIONS, PROBABILITY, CORRELATION TECHNIQUES, DECISION THEORY, QUALITY CONTROL

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE