Accession Number : AD0747262

Title :   Computer Optimization for the Mixed Analysis of Variance Model Using Maximum Likelihood.

Descriptive Note : Technical rept.,

Corporate Author : TEXAS A AND M UNIV COLLEGE STATION

Personal Author(s) : Hemmerle,W. J. ; Hartley,H. O.

Report Date : JUL 1972

Pagination or Media Count : 37

Abstract : The W transformation, a matrix transformation, is developed and applied for the mixed analysis of variance model to compute maximum likelihood estimates of the variance components and fixed parameters. This transformation not only eliminates the need for the explicit computation of the n x n inverse matrix 1/H but permits handling the iterative calculations such that they do not depend upon n (the number of observations) in any way. Although not wedded to a particular numerical method, the W transformation is implemented in conjunction with a modified Newton-Raphson method in which variance components are restricted to being non-negative. (Author)

Descriptors :   (*ANALYSIS OF VARIANCE, MATRICES(MATHEMATICS)), TRANSFORMATIONS(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, DISTRIBUTION FUNCTIONS, COMPUTER PROGRAMS, ITERATIONS, OPTIMIZATION

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE