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Analysis of Variance for Correlated Observations

Published online by Cambridge University Press:  01 January 2025

Raymond O. Collier Jr.
Raymond O. Collier Jr.*
Affiliation:
University of Minnesota
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Abstract

Two different linear models are presented for the four-dimensional classification system in which correlations exist between certain pairs of observations. Except for the assumption of correlated observations, classical assumptions associated with classification systems are made. The models considered are modifications of those which underlie the split-plot design and the split-split-plot design. In the first model the correlations between observations of the levels of one dimension are all set equal to ρ. In the second model the observations of the levels of one dimension are assumed correlated to degree ρ1, whereas the observations of a second dimension are correlated to degree ρ2. Analyses for the two models and tests of hypotheses for various parameters are indicated.

Type
Original Paper
Information
Psychometrika , Volume 23 , Issue 3 , September 1958 , pp. 223 - 236
Copyright
Copyright © 1958 The Psychometric Society

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