Based upon the belief that examinee-by-item interaction should be conceptualized as true score variability rather than as a result of errors of measurement, Lu (1971) proposed a modification of Hoyt's analysis of variance reliability procedure. Although Lu claims that his approach is free from the "impurities" and "entanglements" inherent in Hoyt's procedure, it is shown that Lu's method itself does not yield a unique solution when the test contains a subset of items which are of equal difficulty level. Following a numerical example which points out the arbitrariness of Lu's procedure, a solution to the problem is presented.
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References
1.
Hoyt, C.Test reliability estimated by analysis of variance. Psychometrika, 1941, 6, 153-160.
2.
Lu, K. H.Statistical control of "impurity" in the estimation of test reliability. EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT, 1971, 31, 641-655.
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Winer, B. J.Statistical principles in experimental design. New York: McGraw-Hill, 1971.
