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 language | English (US) |
|---|---|
| Pages (from-to) | 408-420 |
| Number of pages | 13 |
| Journal | Multivariate Behavioral Research |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| State | Published - Oct 1984 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Experimental and Cognitive Psychology
- Arts and Humanities (miscellaneous)
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Cite this
Pavur, R., & Nath, R. (1984). Exact F Tests in an Anova Procedure for Dependent Observations. Multivariate Behavioral Research, 19(4), 408-420. https://doi.org/10.1207/s15327906mbr1904_3