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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
Download full textReckase, Mark D.; McKinley, Robert L. – 1983
A study was undertaken to develop guidelines for the interpretation of the parameters of three multidimensional item response theory models and to determine the relationship between the parameters and traditional concepts of item difficulty and discrimination. The three models considered were multidimensional extensions of the one-, two-, and…
Descriptors: Computer Programs, Difficulty Level, Goodness of Fit, Latent Trait Theory
Samejima, Fumiko – 1982
Because of the recent popularity of the three-parameter logistic model among the researchers who apply latent trait theory, it will be worthwhile to investigate the effect of noise accommodated in different models. In the present paper, four types of models on the dichotomous response level, Types A, B, C and D, are considered. Type A does not…
Descriptors: Adaptive Testing, Goodness of Fit, Latent Trait Theory, Mathematical Models
Murray, Linda N.; Hambleton, Ronald K. – 1983
The purpose of this research study was to assess item response model-test data fit using residuals. First, a comparison of raw and standardized residuals for describing model-test data fit was carried out. Second, hypotheses concerning the relationship between residual sizes and several item characteristics were studied. The analyses with…
Descriptors: Educational Assessment, Goodness of Fit, Item Analysis, Latent Trait Theory
Hambleton, Ronald K.; Rogers, H. Jane – 1986
The general goal of this paper is to help researchers conduct appropriately designed goodness of fit studies for item response model applications. The specific purposes are to describe: (1) an up-to-date set of promising and useful methods for addressing a variety of goodness of fit questions; and (2) current research studies to advance this set…
Descriptors: Data Analysis, Educational Research, Factor Analysis, Goodness of Fit
Byrne, Barbara M. – 1988
The paper identifies and addresses four methodological weaknesses common to most previous studies that have used LISREL confirmatory factor analysis to test for the factorial validity and invariance of a single measuring instrument. Specifically, the paper demonstrates the steps involved in: (1) conducting sensitivity analyses to determine a…
Descriptors: Academically Gifted, Analysis of Covariance, Analysis of Variance, Elementary Education
