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Sums of squares and products matrices for a non-full ranks hypothesis in the model of potthoff and roy
Authors:
J.K. Baksalary a;
R. Kala a
| Affiliation: | a Department of Mathematical and Statistical Methods, Academy of Agriculture, Polska, Pozna |
DOI:
10.1080/02331887708801393
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
Formulae for sums of squares and products matrices, useful in testing a general linear hypothesis in the model of POTTHOFF and ROY, are given, Contrary to the customary approach, these formulae are expressed in original terms of the design matrices and the matrices formulating the hypothesis. They are applicable regardless of the ranks of the matrices involved, which allows to avoid a transformation of the hypothesis and a repara-metrization of the model.
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