Exact F Tests in an Anova Procedure for Dependent Observations

Robert Pavur, Ravinder Nath

Research output: Contribution to journalArticle

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Abstract

Several general correlation patterns are shown in this paper which give exact F tests in an ANOVA procedure with dependent observations. This paper presents the most general correlation patterns one can assume in a one-way and two-way layout and still have the F tests be valid. Exact F tests are given for various designs. These include the unbalanced ANOVA design, analysis of covariance, random effects models, and mixed models. Bartlett's test for homogeneity of variances is shown to be exact when the independence assumption is relaxed. An example is provided to illustrate how the general correlation can occur in an experimentai design.

Original languageEnglish (US)
Pages (from-to)408-420
Number of pages13
JournalMultivariate Behavioral Research
Volume19
Issue number4
DOIs
StatePublished - Oct 1984

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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Experimental and Cognitive Psychology
  • Arts and Humanities (miscellaneous)

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