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The Comparative Performance of Conditional Independence Indices
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Kim, Doyoung; De Ayala, R. J.; Ferdous, Abdullah A.; Nering, Michael L. – Applied Psychological Measurement, 2011
To realize the benefits of item response theory (IRT), one must have model-data fit. One facet of a model-data fit investigation involves assessing the tenability of the conditional item independence (CII) assumption. In this Monte Carlo study, the comparative performance of 10 indices for identifying conditional item dependence is assessed. The…
Descriptors: Item Response Theory, Monte Carlo Methods, Error of Measurement, Statistical Analysis
Nonparametric Person-Fit Analysis of Polytomous Item Scores
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Emons, Wilco H. M. – Applied Psychological Measurement, 2008
Person-fit methods are used to uncover atypical test performance as reflected in the pattern of scores on individual items in a test. Unlike parametric person-fit statistics, nonparametric person-fit statistics do not require fitting a parametric test theory model. This study investigates the effectiveness of generalizations of nonparametric…
Descriptors: Simulation, Nonparametric Statistics, Item Response Theory, Goodness of Fit
On the Robustness of a Class of Naive Estimators.
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Wainer, Howard; Thissen, David – Applied Psychological Measurement, 1979
A class of naive estimators of correlation was tested for robustness, accuracy, and efficiency against Pearson's r, Tukey's r, and Spearman's r. It was found that this class of estimators seems to be superior, being less affected by outliers, reasonably efficient, and frequently more easily calculated. (Author/CTM)
Descriptors: Comparative Analysis, Correlation, Goodness of Fit, Nonparametric Statistics
An Empirical Study of the Accuracy of Corrections for Restriction in Range Due to Explicit Selection.
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Greener, Jack M.; Osburn, H. G. – Applied Psychological Measurement, 1979
A correction procedure for estimating correlation coefficients when faced with the problem of a restricted range in the variables due to an explicit selection procedure was empirically investigated. Results indicated that the assumption of linearity is critical, but that homoscedasticity is less important. (JKS)
Descriptors: Adults, Correlation, Data Analysis, Goodness of Fit
A Simulation Study of the Difference Chi-Square Statistic for Comparing Latent Class Models under Violation of Regularity Conditions.
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Holt, Judith A.; Macready, George B. – Applied Psychological Measurement, 1989
The robustness of the likelihood ratio difference statistic to the violation of a regularity condition when used to assess differences in fit provided by pairs of latent class models was investigated. Recommendations are made regarding the use of the statistic under violation of the regularity condition. (SLD)
Descriptors: Chi Square, Comparative Analysis, Goodness of Fit, Mathematical Models
Type I Error Rates for Generalized Graded Unfolding Model Fit Indices
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DeMars, Christine E. – Applied Psychological Measurement, 2004
Type I error rates were examined for several fit indices available in GGUM2000: extensions of Infit, Outfit, Andrich's X(2), and the log-likelihood ratio X(2). Infit and Outfit had Type I error rates much lower than nominal alpha. Andrich's X(2) had Type I error rates much higher than nominal alpha, particularly for shorter tests or larger sample…
Descriptors: Likert Scales, Error of Measurement, Goodness of Fit, Psychological Studies
A Comparison of Item- and Person-Fit Methods of Assessing Model-Data Fit in IRT.
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Reise, Steven P. – Applied Psychological Measurement, 1990
To demonstrate that some methods used to assess item fit can be applied to assess person fit and vice versa, performance of a chi-squared item-fit statistic was compared with that of a likelihood-based person-fit statistic for examinees and items under Monte Carlo conditions. (SLD)
Descriptors: Chi Square, Comparative Analysis, Goodness of Fit, Item Response Theory