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Analysis of unreplicated three-way classifications, with applications to rater bias and trait independence

Analysis of unreplicated three-way classifications, with applications to rater bias and trait... Abstract The seven analysis-of-variance mean squares for an unreplicated three-way classification may be written as linear combinations of a mean variance and three mean covariances. Formulas are presented for computing the mean variances and mean covariances from linear combinations of mean squares. The relevance of these formulas for assessing rater biases and trait independence is discussed, a numerical example is provided, and proposed extensions are briefly noted. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Springer Journals

Analysis of unreplicated three-way classifications, with applications to rater bias and trait independence

Psychometrika , Volume 26 (2): 15 – Jun 1, 1961

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References (22)

Publisher
Springer Journals
Copyright
1961 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/BF02289715
Publisher site
See Article on Publisher Site

Abstract

Abstract The seven analysis-of-variance mean squares for an unreplicated three-way classification may be written as linear combinations of a mean variance and three mean covariances. Formulas are presented for computing the mean variances and mean covariances from linear combinations of mean squares. The relevance of these formulas for assessing rater biases and trait independence is discussed, a numerical example is provided, and proposed extensions are briefly noted.

Journal

PsychometrikaSpringer Journals

Published: Jun 1, 1961

Keywords: Psychometrics; Assessment, Testing and Evaluation; Statistics for Social Sciences, Humanities, Law; Statistical Theory and Methods

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