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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
Suppes, P.; And Others – 1973
From some simple and schematic assumptions about information processing, a stochastic differential equation is derived for the motion of a student through a computer-assisted elementary mathematics curriculum. The mathematics strands curriculum of the Institute for Mathematical Studies in the Social Sciences is used to test: (1) the theory and (2)…
Descriptors: Computer Assisted Instruction, Deafness, Elementary School Mathematics, Handicapped Children
Frick, Theodore W. – 1986
The sequential probability ratio test (SPRT), developed by Abraham Wald, is one statistical model available for making mastery decisions during computer-based criterion referenced tests. The predictive validity of the SPRT was empirically investigated with two different and relatively large item pools with heterogeneous item parameters. Graduate…
Descriptors: Achievement Tests, Adaptive Testing, Classification, Comparative Analysis