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Brandwein, Ann Cohen; Strawderman, William E. – 1989
This paper presents an expository development of James-Stein estimation with substantial emphasis on exact results for nonnormal location models. The themes of the paper are: (1) the improvement possible over the best invariant estimator via shrinkage estimation is not surprising but expected from a variety of perspectives; (2) the amount of…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Maximum Likelihood Statistics, Statistical Distributions
Peer reviewed Peer reviewed
Krus, David J.; Liang, Kun-Hsia T. – Educational and Psychological Measurement, 1984
An algorithm for estimation of means and standard deviations or raw scores underlying table values of standard test scores is presented. An application of a computer program, operationalizing the suggested algorithm, is discussed within the framework of a comparison of estimated and known table values for sample Minnesota Multiphasic Personality…
Descriptors: Algorithms, Estimation (Mathematics), Scores, Standardized Tests
PDF pending restoration PDF pending restoration
Monaco, Malina – 1997
The effects of skewed theta distributions on indices of differential item functioning (DIF) were studied, comparing Mantel Haenszel (N. Mantel and W. Haenszel, 1959) and DFIT (N. S. Raju, W. J. van der Linden, and P. F. Fleer) (noncompensatory DIF). The significance of the study is that in educational and psychological data, the distributions one…
Descriptors: Ability, Estimation (Mathematics), Item Bias, Monte Carlo Methods