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Ghosh, Indranil – ProQuest LLC, 2011
Consider a discrete bivariate random variable (X, Y) with possible values x[subscript 1], x[subscript 2],..., x[subscript I] for X and y[subscript 1], y[subscript 2],..., y[subscript J] for Y. Further suppose that the corresponding families of conditional distributions, for X given values of Y and of Y for given values of X are available. We…
Descriptors: Information Theory, Models, Programming, Mathematical Applications
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Jarrell, Stephen – Mathematics and Computer Education, 1990
Explains a new way of viewing Bayes' formula. Discusses the revision factor and its interpretation. (YP)
Descriptors: Bayesian Statistics, College Mathematics, Computation, Decimal Fractions
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Li, Yuan H.; Lissitz, Robert W. – Journal of Educational Measurement, 2004
The analytically derived asymptotic standard errors (SEs) of maximum likelihood (ML) item estimates can be approximated by a mathematical function without examinees' responses to test items, and the empirically determined SEs of marginal maximum likelihood estimation (MMLE)/Bayesian item estimates can be obtained when the same set of items is…
Descriptors: Test Items, Computation, Item Response Theory, Error of Measurement