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Hopkins, Kenneth D.; Hester, Peter R. – Educational and Psychological Measurement, 1995
Relationships among the noncentrality parameter for the "F" distribution, mean square between and within groups, and effect size are examined. (Author)
Descriptors: Effect Size, Groups, Mathematical Models, Statistical Distributions

Hopkins, Kenneth D.; Weeks, Douglas L. – Educational and Psychological Measurement, 1990
This paper makes the point that descriptive and inferential measures of nonnormality and graphic displays of the frequency distribution of important variables should be routine in research reporting. This point is particularly true for research involving measures with nonarbitrary metrics where the distribution shape is unaffected by measurement…
Descriptors: Equations (Mathematics), Graphs, Mathematical Models, Research Reports

Ferrando, Pere J.; Lorenzo-Seva, Urbano – Educational and Psychological Measurement, 2001
Describes a Windows program for checking the suitability of unidimensional logistic item response models for binary and ordered polytomous responses with respect to a given set of data. The program is based on predicting the observed test score distributions from the item characteristic curves. (SLD)
Descriptors: Computer Software, Item Response Theory, Mathematical Models, Prediction

Shine, Lester C., II – Educational and Psychological Measurement, 1982
The interpretation of significant left-tailed analysis of variance (ANOVA) F-ratios is supported by considering the case of a fixed effects ANOVA model. The conclusions of this case are generalizable to other standard ANOVA models. (Author/PN)
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models

Smith, Richard M. – Educational and Psychological Measurement, 1991
This study reports results of an investigation based on simulated data of the distributional properties of the item fit statistics that are commonly used in the Rasch model calibration programs as indices of the fit of responses to individual items to the measurement model. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Goodness of Fit, Item Response Theory

Broodbooks, Wendy J.; Elmore, Patricia B. – Educational and Psychological Measurement, 1987
The effects of sample size, number of variables, and population value of the congruence coefficient on the sampling distribution of the congruence coefficient were examined. Sample data were generated on the basis of the common factor model, and principal axes factor analyses were performed. (Author/LMO)
Descriptors: Factor Analysis, Mathematical Models, Monte Carlo Methods, Predictor Variables

Brown, R. L. – Educational and Psychological Measurement, 1992
A Monte Carlo study explores the robustness assumption in structural equation modeling of using a full information normal theory generalized least-squares estimation procedure on Type I censored data. The efficacy of the following proposed alternate estimation procedures is assessed: asymptotically distribution free estimator and a latent…
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Least Squares Statistics

Dodd, Barbara G.; And Others – Educational and Psychological Measurement, 1993
Effects of the following variables on performance of computerized adaptive testing (CAT) procedures for the partial credit model (PCM) were studied: (1) stopping rule for terminating CAT; (2) item pool size; and (3) distribution of item difficulties. Implications of findings for CAT systems based on the PCM are discussed. (SLD)
Descriptors: Adaptive Testing, Computer Assisted Testing, Computer Simulation, Difficulty Level

Fowler, Robert L.; Clingman, Joy M. – Educational and Psychological Measurement, 1992
Monte Carlo techniques are used to examine the power of the "B" statistic of R. L. Brennan (1972) to detect negatively discriminating items drawn from a variety of nonnormal population distributions. A simplified procedure is offered for conducting an item-discrimination analysis on typical classroom objective tests. (SLD)
Descriptors: Classroom Techniques, Elementary Secondary Education, Equations (Mathematics), Item Analysis