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An Algorithm for the Posterior Distribution of the Cell Means in a Two-Way Unbalanced Manova

Author(s):
Rubin, Donald B.; Stroud, Thomas W. F.
Publication Year:
1974
Report Number:
RB-74-49
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
20
Subject/Key Words:
Computer Software, Mathematical Formulas, Statistical Analysis

Abstract

When the prior distributions for the grand mean, row effects, column effects and interaction effects are all independent, with that for the grand mean being flat, the posterior expectation and covariance matrix of the cell means (under a Gaussian model) in a 2-way MANOVA may be obtained via a special matrix inversion technique which offers a great saving in storage and computation time. An APL program and example are presented. (20pp.)

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