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Ramsay, J. O. – Psychometrika, 1978
Techniques are developed for constructing confidence regions for each of the points in a multidimensional scaling solution. Bayesian credibility regions are discussed, and a technique for displaying these regions is described. (Author/JKS)
Descriptors: Bayesian Statistics, Hypothesis Testing, Mathematical Models, Measurement Techniques
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Smith, Philip J.; And Others – Journal of Educational Statistics, 1985
When the experimental units are measured twice, and the response variable is dichotomous, the equality of the two proportions is usally assessed by Mc Nemar's (1947) test. In this paper, Bayesian methods are presented for testing hypotheses regarding the two success probabilities in light of complete and incomplete data. (Author/BW)
Descriptors: Bayesian Statistics, Hypothesis Testing, Mathematical Models, Pretests Posttests
Peer reviewed Peer reviewed
Viana, Marlos A. G. – Journal of Educational Statistics, 1991
A Bayesian solution is suggested to the problem of jointly estimating "k is greater than 1" binomial parameters in conjunction with the problem of testing, in a Bayesian sense, the hypothesis "H" of parametric homogeneity. Applications of the estimates are illustrated with several types of data, including ophthalmological…
Descriptors: Bayesian Statistics, Elementary Secondary Education, Equations (Mathematics), Higher Education
Wilcox, Rand R. – 1979
Three separate papers are included in this report. The first describes a two-stage procedure for choosing from among several instructional programs the one which maximizes the probability of passing the test. The second gives the exact sample sizes required to determine whether a squared multiple correlation coefficient is above or below a known…
Descriptors: Bayesian Statistics, Correlation, Hypothesis Testing, Mathematical Models
Larsson, B. – 1972
An experimental study of the efficiency of human information processing is based on the Bayesian model for simple hypothesis testing with fixed binomial sampling. Each of 60 subjects is analyzed with separate ANOVAs focusing on two efficiency variables. Sample size and critical value are also analyzed. Subjects show very different utilization of…
Descriptors: Bayesian Statistics, Cognitive Processes, Hypothesis Testing, Information Processing
Peer reviewed Peer reviewed
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – Psychometrika, 1987
The rule space model permits measurement of cognitive skill acquisition and error diagnosis. Further discussion introduces Bayesian hypothesis testing and bug distribution. An illustration involves an artificial intelligence approach to testing fractions and arithmetic. (Author/GDC)
Descriptors: Bayesian Statistics, Cognitive Measurement, Error Patterns, Hypothesis Testing
Miller, John K.; Knapp, Thomas R.
The testing of research hypotheses is directly comparable to the dichotomous decision-making of medical diagnosis or jury trials--not ill/ill, or innocent/guilty decisions. There are costs in both kinds of error, type I errors of falsely rejecting a null hypothesis or type II errors of falsely rejecting an alternative hypothesis. It is important…
Descriptors: Bayesian Statistics, Decision Making, Educational Research, Hypothesis Testing
McArthur, David; Chou, Chih-Ping – 1984
Diagnostic testing confronts several challenges at once, among which are issues of test interpretation and immediate modification of the test itself in response to the interpretation. Several methods are available for administering and evaluating a test in real-time, towards optimizing the examiner's chances of isolating a persistent pattern of…
Descriptors: Academic Ability, Adaptive Testing, Bayesian Statistics, Diagnostic Tests
Peer reviewed Peer reviewed
Raudenbush, Stephen W.; Bryk, Anthony S. – Journal of Educational Statistics, 1985
To facilitate meta-analysis of diverse study findings, a mixed linear model with fixed random effects is presented and illustrated with data from teacher expectancy experiments. The standardized effect size is viewed as random and the variation among effect sizes is modeled as a function of study characteristics. (Author/BS).
Descriptors: Bayesian Statistics, Educational Research, Effect Size, Hypothesis Testing
Epstein, Kenneth I.; Steinheiser, Frederick H., Jr. – 1978
A multiparameter, programmable model was developed to examine the interactive influence of certain parameters on the probability of deciding that an examinee had attained a specified degree of mastery. It was applied within the simulated context of performance testing of military trainees. These parameters included: (1) the number of assumed…
Descriptors: Academic Ability, Bayesian Statistics, Cutting Scores, Hypothesis Testing
Tatsuoka, Kikumi K.; Tatsuoka, Maurice M. – 1986
The rule space model permits measurement of cognitive skill acquisition, diagnosis of cognitive errors, and detection of the strengths and weaknesses of knowledge possessed by individuals. Two ways to classify an individual into his or her most plausible latent state of knowledge include: (1) hypothesis testing--Bayes' decision rules for minimum…
Descriptors: Artificial Intelligence, Bayesian Statistics, Cognitive Development, Computer Assisted Testing