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Szatrowski, Ted – Journal of Educational Statistics, 1982
Known results for testing and estimation problems for patterned means and covariance matrices with explicit linear maximum likelihood estimates are applied to the block compound symmetry problem. An example involving educational testing is provided. (Author/JKS)
Descriptors: Hypothesis Testing, Mathematical Models, Maximum Likelihood Statistics, Multivariate Analysis
Peer reviewed Peer reviewed
Hedges, Larry V. – Journal of Educational Statistics, 1981
Glass's estimator of effect size, the sample mean difference divided by the sample standard deviation, is studied in the context of an explicit statistical model. The exact distribution of Glass's estimator is obtained and the estimator is shown to have a small sample bias. Alternatives are proposed and discussed. (Author/JKS)
Descriptors: Data Analysis, Error of Measurement, Mathematical Models, Research Design
Peer reviewed Peer reviewed
Chen, James J.; Novick, Melvin, R. – Journal of Educational Statistics, 1984
The Libby-Novick class of three-parameter generalized beta distributions is shown to provide a rich class of prior distributions for the binomial model that removes some restrictions of the standard beta class. A numerical example indicates the desirability of using these wider classes of densities for binomial models. (Author/BW)
Descriptors: Bayesian Statistics, Computer Oriented Programs, Generalization, Goodness of Fit
Peer reviewed Peer reviewed
Becker, Betsy Jane – Journal of Educational Statistics, 1991
The observed probability "p" is the social scientist's primary tool for evaluating the outcome of statistical hypothesis tests. The small-sample accuracy of nonnull asymptotic distributions of several functions of "p" was studied. Implications for use of the approximations are discussed. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Hypothesis Testing, Mathematical Models