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Thomas, Hoben – Psychometrika, 1989
A model which approaches the problem of characterizing distributions of test validity correlation coefficients from the perspective of finite mixture theory is presented. This estimation method offers advantages over validity generalization procedures. Examples are provided to illustrate applications of the method. (SLD)
Descriptors: Correlation, Estimation (Mathematics), Generalization, Mathematical Models
Peer reviewed Peer reviewed
Grass, Alan L.; Perry, Philippa – Psychometrika, 1983
A procedure for inferring the validity of a selection test as a predictor of some criterion when the available data are limited due to prior selection is described. (Author/JKS)
Descriptors: Mathematical Models, Predictive Measurement, Predictive Validity, Selection
Peer reviewed Peer reviewed
Bedrick, Edward J. – Psychometrika, 1992
E.J. Bedrick recently derived the asymptotic distribution of the modified sample biserial correlation estimator of F.M. Lord and studied its efficacy for bivariate normal populations. A more detailed examination of the properties of Lord's estimator is provided, and the small sample bias and variance are studied. (SLD)
Descriptors: Comparative Analysis, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewed Peer reviewed
Gross, Alan L. – Psychometrika, 1990
A model is proposed for investigating test validity as a predictor of a criterion variable when there are both missing and censored scores in the data set. Implications for maximum likelihood estimation are discussed, and the method is illustrated with hypothetical data sets. (SLD)
Descriptors: Equations (Mathematics), Mathematical Models, Maximum Likelihood Statistics, Predictive Measurement
Peer reviewed Peer reviewed
Rosenbaum, Paul R. – Psychometrika, 1989
Single construct validity is examined, and appropriate statistical tests are described when criterion information is available for: (1) examinees selected at random; (2) examinees selected on the basis of the current test; and (3) examinees selected using other measures of the latent construct. Discriminant validity is also discussed. (SLD)
Descriptors: College Entrance Examinations, Construct Validity, Equations (Mathematics), Item Response Theory
Peer reviewed Peer reviewed
Kristof, Walter – Psychometrika, 1971
Descriptors: Cognitive Measurement, Error of Measurement, Mathematical Models, Psychological Testing
Peer reviewed Peer reviewed
Braun, Henry I.; And Others – Psychometrika, 1983
Empirical Bayes methods are shown to provide a practical alternative to standard least squares methods in fitting high dimensional models to sparse data. An example concerning prediction bias in educational testing is presented as an illustration. (Author)
Descriptors: Bayesian Statistics, Educational Testing, Goodness of Fit, Mathematical Models