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 |
|---|---|
| Pages (from-to) | 408-420 |
| Number of pages | 13 |
| Journal | Multivariate Behavioral Research |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1984 |
| Externally published | Yes |
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All Science Journal Classification (ASJC) codes
- Arts and Humanities (miscellaneous)
- Statistics and Probability
- Experimental and Cognitive Psychology
Cite this
Exact F Tests in an Anova Procedure for Dependent Observations. / Pavur, Robert; Nath, Ravinder.
In: Multivariate Behavioral Research, Vol. 19, No. 4, 1984, p. 408-420.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Exact F Tests in an Anova Procedure for Dependent Observations
AU - Pavur, Robert
AU - Nath, Ravinder
PY - 1984
Y1 - 1984
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=33846428364&partnerID=8YFLogxK
U2 - 10.1207/s15327906mbr1904_3
DO - 10.1207/s15327906mbr1904_3
M3 - Article
VL - 19
SP - 408
EP - 420
JO - Multivariate Behavioral Research
JF - Multivariate Behavioral Research
SN - 0027-3171
IS - 4
ER -