Accession Number : AD0650278

Title :   BAYESIAN ANALYSIS OF LINEAR MODELS WITH TWO RANDOM COMPONENTS (WITH SPECIAL REFERENCE TO THE BALANCED INCOMPLETE BLOCK DESIGN).

Descriptive Note : Technical rept.,

Corporate Author : WISCONSIN UNIV MADISON DEPT OF STATISTICS

Personal Author(s) : Tiao,G. C. ; Draper,N. R.

Report Date : FEB 1967

Pagination or Media Count : 39

Abstract : The paper considers linear models which contain two random components and enable representation of general designs with block effects random. It shows how, within a Bayesian framework, to combine the intra- and inter-block information about the location parameters. The balanced incomplete block design, an important special case, is considered in detail and illustrated by an example. A simple approximation to the marginal distribution of an individual contrast is also presented and illustrated.

Descriptors :   (*RANDOM VARIABLES, FUNCTIONS(MATHEMATICS)), APPROXIMATION(MATHEMATICS), MATRICES(MATHEMATICS), EQUATIONS, SAMPLING, ANALYSIS OF VARIANCE, MODEL THEORY, POPULATION(MATHEMATICS), VECTOR ANALYSIS, LINEAR SYSTEMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE