The Relationship Between Two Parameterizations Of Linear Patterned Mean And Covariance Models

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Abstract

Andrade and Helms (1984) study problems involving estimation and testing of linearly patterned mean and covariance matrices. They parameterize their models under the null hypothesis by using linear constraints on the alternative hypothesis parameterization. In this paper, we show that the nested models that Andrade and Helms consider can be transformed into the nested models considered by Anderson (1969, 1970, 1973) and Szatrowski (1979, 1980, 1981, 1983, 1985).

Original languageEnglish (US)
Pages (from-to)1709-1712
Number of pages4
JournalCommunications in Statistics - Theory and Methods
Volume14
Issue number7
DOIs
StatePublished - Jan 1 1985

All Science Journal Classification (ASJC) codes

  • Statistics and Probability

Keywords

  • canonical forms
  • linear transformations
  • means
  • patterned
  • patterned covariance matrices

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