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Knezek, Gerald; Wallace, Susan; Dunn-Rankin, Peter – Psychometrika, 1998
The accuracy of Kendall's chi square approximation (M. Kendall, 1962) to circular triad distributions was assessed by comparing estimated indices to enumerated values across upper and lower tails of cumulative proportions of circular triad distributions. In general, the approximation was found to be quite good, and its use is discussed. (SLD)
Descriptors: Chi Square, Mathematical Models, Psychometrics, Statistical Distributions

Lee, Sik-Yum; And Others – Psychometrika, 1989
The frequencies of "m" independent "p-way" contingency tables are analyzed by a model that assumes that the ordinal category data in each of "m" groups are generated from a latent continuous multivariate normal distribution. The model permits analysis of several groups of individuals simultaneously. (TJH)
Descriptors: Algorithms, Equations (Mathematics), Mathematical Models, Multivariate Analysis

Bloxom, Bruce – Psychometrika, 1985
The use of semiparametric models may require incorporating additional functions which do not vary across distributions and may require expressing the models in terms of the joint distribution of response class and response time. (Author/LMO)
Descriptors: Mathematical Models, Psychometrics, Reaction Time, Regression (Statistics)

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
Sawilowsky, Shlomo S.; Hillman, Stephen B. – 1991
Psychology studies often have low statistical power. Sample size tables, as given by J. Cohen (1988), may be used to increase power, but they are based on Monte Carlo studies of relatively "tame" mathematical distributions, as compared to psychology data sets. In this study, Monte Carlo methods were used to investigate Type I and Type II…
Descriptors: Mathematical Models, Monte Carlo Methods, Power (Statistics), Psychological Studies