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Hedges, Larry V.; Olkin, Ingram – Psychometrika, 1981
Commonality components have been defined as a method of partitioning squared multiple correlations. The asymptotic joint distribution of all possible squared multiple correlations is derived. The asymptotic joint distribution of linear combinations of squared multiple correlations is obtained as a corollary. (Author/JKS)
Descriptors: Correlation, Data Analysis, Mathematical Models, Multiple Regression 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
Hedges, Larry V. – Journal of Educational Statistics, 1982
A statistical test is described which determines homogeneity of effect size of an experiment series. An overall fit statistic is partitioned into between-class fit statistic and within-class fit statistic. These statistics permit assessment of differences between effect sizes for different classes and homogeneity of effect size within classes.…
Descriptors: Analysis of Variance, Data Analysis, Estimation (Mathematics), Goodness of Fit