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Direct linkOlvera Astivia, Oscar Lorenzo; Kroc, Edward; Zumbo, Bruno D. – Educational and Psychological Measurement, 2020
Simulations concerning the distributional assumptions of coefficient alpha are contradictory. To provide a more principled theoretical framework, this article relies on the Fréchet-Hoeffding bounds, in order to showcase that the distribution of the items play a role on the estimation of correlations and covariances. More specifically, these bounds…
Descriptors: Test Items, Test Reliability, Computation, Correlation
MacDonald, George T. – ProQuest LLC, 2014
A simulation study was conducted to explore the performance of the linear logistic test model (LLTM) when the relationships between items and cognitive components were misspecified. Factors manipulated included percent of misspecification (0%, 1%, 5%, 10%, and 15%), form of misspecification (under-specification, balanced misspecification, and…
Descriptors: Simulation, Item Response Theory, Models, Test Items
PDF pending restorationKirisci, Levent; Hsu, Tse-Chi – 1995
The main goal of this study was to assess how sensitive unidimensional parameter estimates derived from BILOG were when the unidimensionality assumption was violated and the underlying ability distribution was not multivariate normal. A multidimensional three-parameter logistic distribution that was a straightforward generalization of the…
Descriptors: Ability, Comparative Analysis, Correlation, Difficulty Level
Download full textReckase, Mark D.; And Others – 1985
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…
Descriptors: Correlation, Difficulty Level, Factor Analysis, Item Analysis
Nandakumar, Ratna; Yu, Feng – 1994
DIMTEST is a statistical test procedure for assessing essential unidimensionality of binary test item responses. The test statistic T used for testing the null hypothesis of essential unidimensionality is a nonparametric statistic. That is, there is no particular parametric distribution assumed for the underlying ability distribution or for the…
Descriptors: Ability, Content Validity, Correlation, Nonparametric Statistics
Thompson, Bruce; Borrello, Gloria M. – 1987
Attitude measures frequently produce distributions of item scores that attenuate interitem correlations and thus also distort findings regarding the factor structure underlying the items. An actual data set involving 260 adult subjects' responses to 55 items on the Love Relationships Scale is employed to illustrate empirical methods for…
Descriptors: Adults, Analysis of Covariance, Attitude Measures, Correlation
