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Yuan, Ke-Hai; Bentler, Peter M. – Psychometrika, 2002
Developed a sandwich-type covariance matrix to evaluate parameters and provide a rescaled statistic to evaluate a hypothesized general multilevel model. A simulation study with a two-level factor model implies that the rescaled statistic is preferable. (SLD)
Descriptors: Equations (Mathematics), Simulation, Statistical Distributions

Lenk, Peter J.; DeSarbo, Wayne S. – Psychometrika, 2000
Presents a hierarchical Bayes approach to modeling parameter heterogeneity in generalized linear models. The approach combines the flexibility of semiparametric latent class models that assume common parameters for each subpopulation and the parsimony of random effects models that assume normal distributions for the regression parameters.…
Descriptors: Bayesian Statistics, Monte Carlo Methods, Simulation, Statistical Distributions

Wilcox, Rand R. – Psychometrika, 1994
A generalization of the usual random-effects model based on trimmed means is proposed. The resulting test of no differences among J randomly sampled groups has advantages in terms of Type I errors and can yield gains in power when distributions have heavy tails and outliers. (SLD)
Descriptors: Analysis of Variance, Equations (Mathematics), Models, Power (Statistics)

Headrick, Todd C.; Sawilosky, Shlomo S. – Psychometrika, 1999
Proposes a procedure for generating multivariate nonnormal distributions. The procedure, an extension of the Fleishman power method (A. Fleishman, 1978), generates the average value of intercorrelations much closer to population parameters than competing procedures for skewed and heavy tailed distributions and small sample sizes. Reports Monte…
Descriptors: Correlation, Equations (Mathematics), Monte Carlo Methods, Multivariate Analysis

Wilcox, Rand R. – Psychometrika, 1992
A method of comparing one-step M-estimates of location for heavy tailed distributions is proposed and investigated. Simulations indicate that the new procedure provides good control over Type I errors and has more power than do some other methods for dealing with heavy tailed distributions. (SLD)
Descriptors: Comparative Analysis, Estimation (Mathematics), Experimental Groups, Mathematical Models

Saner, Hilary – Psychometrika, 1994
The use of p-values in combining results of studies often involves studies that are potentially aberrant. This paper proposes a combined test that permits trimming some of the extreme p-values. The trimmed statistic is based on an inverse cumulative normal transformation of the ordered p-values. (SLD)
Descriptors: Effect Size, Meta Analysis, Research Methodology, Sample Size

Gregson, Robert A. M. – Psychometrika, 1994
The derivation of the variance of similarity judgments is made from the 3-D process in nonlinear psychophysics. The idea of separability of dimensions in metric space theories of similarity is replaced by one parameter that represents the degree of a form of interdimensional cross-sampling. (SLD)
Descriptors: Decision Making, Equations (Mathematics), Evaluation Methods, Models
Kistner, Emily O.; Muller, Keith E. – Psychometrika, 2004
Intraclass correlation and Cronbach's alpha are widely used to describe reliability of tests and measurements. Even with Gaussian data, exact distributions are known only for compound symmetric covariance (equal variances and equal correlations). Recently, large sample Gaussian approximations were derived for the distribution functions. New exact…
Descriptors: Correlation, Test Reliability, Test Results, Probability