A common problem in practical educational research is that of perfect scores which result when latent trait models are used. A simple procedure for managing the perfect and zero response problem encountered in converting test scores into measures is presented. It allows the test user to chose among two or three reasonable finite representations of…

The purpose of this study was to empirically examine the relationship between violations of the assumption of unidimensionality, as assessed by the factor analysis of item parcel data, and the quality of item response theory (IRT) true-score equating, as measured by score scale stability. The verbal section of the Scholastic Aptitude Test (SAT)…

The classification of intelligence has been a prime interest to many for over three-quarters of a century. The Wechsler scales of intelligence and the development of factor analysis have both played major roles in the shaping of psychometric thought. An examination of this joint history by means of a review of the factor analytic studies of the…

A technique for detecting item bias that is responsive to attitudinal measurement considerations is a maximum likelihood factor analysis procedure comparing multivariate factor structures across various subpopulations, often referred to as SIFASP. The SIFASP technique allows for factorial model comparisons in the testing of various hypotheses…

Factor analysis is the traditional method for studying the dimensionality of test data. However, under common conditions, the factor analysis of tetrachoric correlations does not recover the underlying structure of dichotomous data. The purpose of this paper is to demonstrate that the factor analyses of tetrachoric correlations is unlikely to…

Efforts to study the fidelity of translation of attitudinal scales into foreign languages have faltered due to the lack of powerful statistical tests to assess such transformations. This study uses a maximum likelihood factor analysis procedure to compare multivariate factor structures across subpopulations. The results showed that inconsistent…