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Peer reviewedMcDonald, Roderick P. – Educational and Psychological Measurement, 1978
It is shown that if a behavior domain can be described by the common factor model with a finite number of factors, the squared correlation between the sum of a selection of items and the domain total score is actually greater than coefficient alpha. (Author/JKS)
Descriptors: Factor Analysis, Item Analysis, Mathematical Models, Measurement
McDonald, Roderick P. – 1982
This paper provides an up-to-date review of the relationship between item response theory (IRT) and (nonlinear) common factor theory and draws out of this relationship some implications for current and future research in IRT. Nonlinear common factor analysis yields a natural embodiment of the weak principle of local independence in appropriate…
Descriptors: Factor Analysis, Higher Education, Item Analysis, Latent Trait Theory
