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Jansen, Margo G. H. – Journal of Educational Statistics, 1986
In this paper a Bayesian procedure is developed for the simultaneous estimation of the reading ability and difficulty parameters which are assumed to be factors in reading errors by the multiplicative Poisson Model. According to several criteria, the Bayesian estimates are better than comparable maximum likelihood estimates. (Author/JAZ)
Descriptors: Achievement Tests, Bayesian Statistics, Comparative Analysis, Difficulty Level
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Bhaj, Dinesh S.; Snijders, Tom A. B. – Psychometrika, 1986
Two easily computed test statistics are proposed for testing the equality of two correlated proportions when some observations are missing on both responses. The performance of these tests in terms of size and power is compared with other tests by means of Monte Carlo simulations. (Author/BS)
Descriptors: Correlation, Expectancy Tables, Hypothesis Testing, Mathematical Models
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Goldring, Ellen B.; Presbrey, Laurie S. – Educational Evaluation and Policy Analysis, 1986
A meta analysis of preschool intervention programs is performed to arrive at an overall effect size of such programs. Results indicate that despite the diversities in intervention sites, ages of subjects, lengths of intervention, and curricula models, there is a positive homogeneous effect on the variables. (Author/LMO)
Descriptors: Disadvantaged Youth, Effect Size, Intervention, Mathematical Models
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Smith, Richard M. – Educational and Psychological Measurement, 1985
Standard maximum likeliheed estimation was compared using two forms of robust estimation, BIWEIGHT (based on Tukey's Biweight) and AMTJACK (AMT-Robustified Jackknife), and Rasch model person analysis. The two procedures recovered the generating parameters, but Rasch person analysis also helped to identify the nature of a response disturbance. (GDC)
Descriptors: Ability, Comparative Analysis, Computer Simulation, Estimation (Mathematics)
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Lord, Frederic M. – Journal of Educational Measurement, 1986
Advantages and disadvantages of joint maximum likelihood, marginal maximum likelihood, and Bayesian methods of parameter estimation in item response theory are discussed and compared. (Author)
Descriptors: Bayesian Statistics, Error Patterns, Estimation (Mathematics), Higher Education
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McArdle, J. Jack – Multivariate Behavioral Research, 1984
The many methodological contributions of Raymond B. Cattell to multivariate analysis are discussed in terms of contemporary issues in structural equation modeling. His factor analytic approach is compared with current modeling practices. A critical evaluation finds much of Cattell's work still innovative, technically advanced, and valuable to…
Descriptors: Analysis of Variance, Comparative Analysis, Estimation (Mathematics), Evaluation
Choppin, Bruce – Evaluation in Education: An International Review Series, 1985
Using the analogy of temperature measurement, the Rasch model is presented with arguments for its adoption as the basic scaling technique for achievement measures. Three extensions of the Rasch model for more complex testing are developed. Test development for the British national assessment program and the promise of item banking are also…
Descriptors: Academic Achievement, Achievement Tests, Educational Assessment, Item Banks
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Croft, W. Bruce – Journal of the American Society for Information Science, 1986
Proposes approach to integrating Boolean and statistical systems where Boolean queries are interpreted as a means of specifying term dependencies in relevant set of documents. Highlights include series of retrieval experiments designed to test retrieval strategy based on term dependence model and relation of results to other work. (18 references)…
Descriptors: Algorithms, Feedback, Information Systems, Mathematical Models
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Embretson, Susan; And Others – Journal of Educational Measurement, 1986
This study examined the influence of processing strategies, and the metacomponents that determine when to apply them, on the construct validity of a verbal reasoning test. A rule-oriented strategy, an association strategy, and a partial rule strategy were examined. All three strategies contributed to individual differences in verbal reasoning.…
Descriptors: Cognitive Processes, Elementary Secondary Education, Error of Measurement, Latent Trait Theory
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Kunkle, Dan; Burch, Charles I., Jr. – Mathematics Teacher, 1984
An approach to teaching the exponential function using discrete methods, rather than continuous analysis, is presented. A model for simple geometric growth is explored, with a computer program given. (MNS)
Descriptors: Computer Oriented Programs, Computer Programs, Functions (Mathematics), Mathematical Models
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Tatsuoka, Kikumi K. – Journal of Educational Measurement, 1983
A newly introduced approach, rule space, can represent large numbers of erroneous rules of arithmetic operations quantitatively and can predict the likelihood of each erroneous rule. The new model challenges the credibility of the traditional right-or-wrong scoring procedure. (Author/PN)
Descriptors: Addition, Algorithms, Arithmetic, Diagnostic Tests
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Kyllonen, Patrick C.; And Others – Journal of Educational Psychology, 1984
Relations among aptitude, spatial task solution strategy, and task performance were explored through mathematical models of performance latency. Different models fit different subjects on each of three task steps (encoding, synthesis, and comparison), suggesting that different subjects used different strategies for solving the same items. Aptitude…
Descriptors: Cognitive Style, Comparative Analysis, Encoding (Psychology), Higher Education
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Gallini, Joan K., Mandeville, Garrett K. – Journal of Experimental Education, 1984
This Monte Carlo study examined the validity of the chi-square test for model evaluation in different instances of misspecification and sample size. The usefulness of the chi-square difference statistic to compare competing structures and improvement in fit is also addressed. (Author/BS)
Descriptors: Analysis of Covariance, Error of Measurement, Goodness of Fit, Mathematical Models
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Tanner, C. Kenneth – CEFP Journal, 1984
Explains a mathematical formula used for locating public sites close to the expected geographic center of an area where population (or population density) and distance are the two major suitable variables. Application of the site selection methodology is proposed for schools, libraries, parks, and other public sites. (MLF)
Descriptors: Educational Facilities Planning, Elementary Secondary Education, Facility Planning, Human Geography
Williams, J. S.; Wake, G. D. – International Group for the Psychology of Mathematics Education, 2004
We noticed that when workers try to explain their mathematical practices to inquisitive outsiders, breakdowns in communication arise. We present here an example in which a worker spontaneously uses metaphors and models to facilitate explanation and communication. We analyse these, drawing on Lakoff & Johnson (1999) and Lakoff & Nunez…
Descriptors: Figurative Language, Mathematical Models, Cultural Influences, Mathematics Education
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