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Cornell, John E.; And Others – Journal of Educational Statistics, 1992
This Monte Carlo simulation studied the relative power of 8 tests for sphericity in randomized block designs where sample size was small (10, 15, 20, and 30) and population covariance matrices of dimension-to-sample size ratio approached 1.0. The locally best invariant test demonstrated substantial power to detect departures from sphericity. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Mathematical Models, Monte Carlo Methods
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Fowler, Robert L. – Applied Psychological Measurement, 1992
A Monte Carlo simulation explored how to optimize power in the extreme groups strategy when sampling from nonnormal distributions. Results show that the optimum percent for the extreme group selection was approximately the same for all population shapes, except the extremely platykurtic (uniform) distribution. (SLD)
Descriptors: Construct Validity, Equations (Mathematics), Mathematical Models, Monte Carlo Methods
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Brown, R. L. – Educational and Psychological Measurement, 1991
The effect that collapsing ordered polytomous variable scales has on structural equation measurement model parameter estimates was examined. Four parameter estimation procedures were investigated in a Monte Carlo study. Collapsing categories in ordered polytomous variables had little effect when latent projection procedures were used. (SLD)
Descriptors: Computer Simulation, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Wilkins, Jesse L. M. – School Science and Mathematics, 1999
Investigates the cereal box problem using both an experimental and theoretical framework, and Monte Carlo methods. Using empirical data, students can discover patterns and relationships that help them understand the origin of the theoretical solution to the problem. Contains 17 references. (Author/ASK)
Descriptors: Elementary Secondary Education, Geometric Concepts, Mathematical Models, Mathematics Activities
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Kim, Seock-Ho; Cohen, Allan S. – Applied Psychological Measurement, 1998
Investigated Type I error rates of the likelihood-ratio test for the detection of differential item functioning (DIF) using Monte Carlo simulations under the graded-response model. Type I error rates were within theoretically expected values for all six combinations of sample sizes and ability-matching conditions at each of the nominal alpha…
Descriptors: Ability, Item Bias, Item Response Theory, Monte Carlo Methods
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Sanchez-Meca, Julio; Marin-Martinez, Fulgencio – Educational and Psychological Measurement, 1998
The bias and relative efficiency of two alternative estimators of optimal weights in meta-analysis were assessed through Monte Carlo simulation, defining the standardized mean differences as the effect-size index. The estimator proposed by L. Hedges and I. Olkin (1985) was more efficient than that of J. Hunter and F. Schmidt (1990). (SLD)
Descriptors: Effect Size, Estimation (Mathematics), Meta Analysis, Monte Carlo Methods
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Fan, Xitao; Wang, Lin; Thompson, Bruce – Structural Equation Modeling, 1999
A Monte Carlo simulation study investigated the effects on 10 structural equation modeling fit indexes of sample size, estimation method, and model specification. Some fit indexes did not appear to be comparable, and it was apparent that estimation method strongly influenced almost all fit indexes examined, especially for misspecified models. (SLD)
Descriptors: Estimation (Mathematics), Goodness of Fit, Monte Carlo Methods, Sample Size
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Sanchez-Meca, Julio; Marin-Martinez, Fulgencio – Educational and Psychological Measurement, 2001
Assessed five procedures for estimating a common risk difference in a set of independent 2 x 2 tables through Monte Carlo simulation in terms of bias, efficiency, confidence level adjustment, and statistical power. The maximum likelihood estimator showed best performance, followed closely by the Cochran (W. Cochran, 1954) and Mantel-Haenszel (N.…
Descriptors: Estimation (Mathematics), Maximum Likelihood Statistics, Meta Analysis, Monte Carlo Methods
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Jackson, Dennis L. – Structural Equation Modeling, 2001
Investigated the assumption that determining an adequate sample size in structural equation modeling can be aided by considering the number of parameters to be estimated. Findings from maximum likelihood confirmatory factor analysis support previous research on the effect of sample size, measured variable reliability, and the number of measured…
Descriptors: Estimation (Mathematics), Maximum Likelihood Statistics, Monte Carlo Methods, Reliability
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Kim, Seock-Ho – Applied Psychological Measurement, 2001
Examined the accuracy of the Gibbs sampling Markov chain Monte Carlo procedure for estimating item and person (theta) parameters in the one-parameter logistic model. Analyzed four empirical datasets using the Gibbs sampling, conditional maximum likelihood, marginal maximum likelihood, and joint maximum likelihood methods. Discusses the conditions…
Descriptors: Ability, Estimation (Mathematics), Item Response Theory, Markov Processes
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De Corte, Wilfried – Educational and Psychological Measurement, 2004
The article describes a Windows program to estimate the expected value and sampling distribution function of the adverse impact ratio for general multistage selections. The results of the program can also be used to predict the risk that a future selection decision will result in an outcome that reflects the presence of adverse impact. The method…
Descriptors: Sampling, Measurement Techniques, Evaluation Methods, Computer Software
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Wang, Wen-Chung; Su, Ya-Hui – Applied Measurement in Education, 2004
In this study we investigated the effects of the average signed area (ASA) between the item characteristic curves of the reference and focal groups and three test purification procedures on the uniform differential item functioning (DIF) detection via the Mantel-Haenszel (M-H) method through Monte Carlo simulations. The results showed that ASA,…
Descriptors: Test Bias, Student Evaluation, Evaluation Methods, Test Items
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Meara, Paul – Applied Linguistics, 2005
This paper reports a set of Monte Carlo simulations designed to evaluate the main claims made by Laufer and Nation about the Lexical Frequency Profile (LFP). Laufer and Nation claim that the LFP is a sensitive and reliable tool for assessing productive vocabulary in L2 speakers, and they suggest it might have a serious role to play in diagnostic…
Descriptors: Vocabulary Development, Monte Carlo Methods, Second Language Learning, Profiles
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Lui, Kung-Jong; Cumberland, William G. – Psychometrika, 2004
When the underlying responses are on an ordinal scale, gamma is one of the most frequently used indices to measure the strength of association between two ordered variables. However, except for a brief mention on the use of the traditional interval estimator based on Wald's statistic, discussion of interval estimation of the gamma is limited.…
Descriptors: Intervals, Sample Size, Maximum Likelihood Statistics, Monte Carlo Methods
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Yuan, Ke-Hai; Maxwell, Scott – Journal of Educational and Behavioral Statistics, 2005
Retrospective or post hoc power analysis is recommended by reviewers and editors of many journals. Little literature has been found that gave a serious study of the post hoc power. When the sample size is large, the observed effect size is a good estimator of the true power. This article studies whether such a power estimator provides valuable…
Descriptors: Effect Size, Computation, Monte Carlo Methods, Bias
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