An Empirical Investigation of Lu's Method of Reliability Estimation
Schuyler W. Huck, Irene C.S. Chuang, Gipsie B. Ranney · Educational and Psychological Measurement · 1981
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. Lu claims that his approach is free from the "impurities" and "entanglements" inherent in Hoyt's procedure since with nonadditive data his approach supposedly yields an error MS which estimates just σ ∈ 2 , whereas the residual MS of Hoyt's procedure would estimate σ ∈ 2 + σ αβ 2 . Via a computer simulation study, it is shown that Lu's approach does not separate interaction from error.