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:

1967-02-01

Pagination or Media Count:

39.0

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