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Tomer, Adrian; Cunningham, Walter R. – Multivariate Behavioral Research, 1993
Structure of measures of speed was studied by conducting simultaneous confirmatory factor analysis for 1 sample of 149 elderly adults and a sample of 147 young adults using 16 measures of speed. Five first-order factors of speed were found, as hypothesized, and three second-order speed factors were necessary. (SLD)
Descriptors: Age Differences, Cognitive Processes, Comparative Analysis, Factor Structure
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Siddharthan, Kris – Evaluation Review, 1991
Consumer choice of health provider plan and preference for a personal physician were studied for 1,438 elderly adults using a joint logit model (JL) and a nested logit model. Choice criteria used by senior citizens, and reasons the nested choice model explains choice behavior better than the JL are examined. (SLD)
Descriptors: Attitude Measures, Behavior Patterns, Comparative Analysis, Consumer Economics
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Stout, William F. – Psychometrika, 1990
Using an infinite item test framework, it is argued that the usual assumption of local independence should be replaced by a weaker assumption--essential independence. The usual assumption of unidimensionality is replaced by a weaker and more appropriate statistically testable assumption of essential unidimensionality. (TJH)
Descriptors: Ability Identification, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
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Deerwester, Scott; And Others – Journal of the American Society for Information Science, 1990
Describes a new method for automatic indexing and retrieval called latent semantic indexing (LSI). Problems with matching query words with document words in term-based information retrieval systems are discussed, semantic structure is examined, singular value decomposition (SVD) is explained, and the mathematics underlying the SVD model is…
Descriptors: Automatic Indexing, Documentation, Factor Analysis, Information Retrieval
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Collins, Linda M.; And Others – Multivariate Behavioral Research, 1993
To assess problems in hypothesis testing and model comparisons based on normed indices caused by latent class models with sparse contingency tables, a simulation was carried out investigating the distributions of the likelihood ratio statistic, the Pearson statistic chi-square, and a new goodness of fit statistic. (SLD)
Descriptors: Chi Square, Comparative Analysis, Computer Simulation, Equations (Mathematics)
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Liou, Michelle – Applied Psychological Measurement, 1993
Accuracy of three exact person tests for assessing model-data fit in the Rasch model was investigated in a simulation study. Empirical Type I error rates and statistical power of the person tests were computed. The exact person test conditioned on total score is a promising tool for assessing consistency of response patterns with the Rasch model.…
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Goodness of Fit
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Nandakumar, Ratna – Journal of Educational Measurement, 1993
The phenomenon of simultaneous differential item functioning (DIF) amplification and cancellation and the role of the SIBTEST approach in detecting DIF are investigated with a variety of simulated test data. The effectiveness of SIBTEST is supported, and the implications of DIF amplification and cancellation are discussed. (SLD)
Descriptors: Computer Simulation, Elementary Secondary Education, Equal Education, Equations (Mathematics)
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Butters, Greg; Bandaranayake, Wije – Journal of Natural Resources and Life Sciences Education, 1993
A solution of the convection-dispersion equation is used to describe the solute breakthrough curves generated in the demonstrations in the companion paper. Estimation of the best fit model parameters (solute velocity, dispersion, and retardation) is illustrated using the method of moments for an example data set. (Author/MDH)
Descriptors: Biological Sciences, Environmental Education, Equations (Mathematics), Higher Education
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Zimmerman, Donald W.; And Others – Applied Psychological Measurement, 1993
Some of the methods originally used to find relationships between reliability and power associated with a single measurement are extended to difference scores. Results, based on explicit power calculations, show that augmenting the reliability of measurement by reducing error score variance can make significance tests of difference more powerful.…
Descriptors: Equations (Mathematics), Error of Measurement, Individual Differences, Mathematical Models
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Cohen, Allan S.; Kim, Seock-Ho – Applied Psychological Measurement, 1993
The effectiveness of two statistical tests of the area between item response functions (exact signed area and exact unsigned area) estimated in different samples, a measure of differential item functioning (DIF), was compared with Lord's chi square. Lord's chi square was found the most effective in determining DIF. (SLD)
Descriptors: Chi Square, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)
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Wilson, Mark; Adams, Raymond J. – Journal of Educational Statistics, 1993
A marginal maximum likelihood estimation algorithm is presented for the ordered partition model of M. Wilson that does not require the set of available responses to be fully ordered. The model and its estimation algorithm are illustrated in a comparison of alternative scoring schemes for open-ended science items. (SLD)
Descriptors: Algorithms, Comparative Analysis, Elementary Secondary Education, Equations (Mathematics)
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Seltzer, Michael H. – Journal of Educational Statistics, 1993
A Bayesian approach to sensitivity of inferences to possible outliers involves recalculating marginal posterior distributions of parameters of interest under assumptions of heavy tails. This strategy is implemented in the hierarchical model setting through Gibbs sampling, a Monte Carlo technique, and illustrated through a reanalysis of data on…
Descriptors: Bayesian Statistics, Elementary Education, Equations (Mathematics), Mathematical Models
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Snijders, Tom A. B.; Bosker, Roel J. – Journal of Educational Statistics, 1993
Some approximate formulas are presented for standard errors of estimated regression coefficients in two-level designs. If the researcher can make a reasonable guess as to parameters occurring in the model, this approximation can be a guide to the choice of sample sizes at either level. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models
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Krach, Mike – Ohio Journal of School Mathematics, 1998
Illustrates the addition, subtraction, and representation of fractions using an area model and a measurement model. Also demonstrates multiplication and division of fractions by employing the area model. (ASK)
Descriptors: Arithmetic, Elementary Secondary Education, Fractions, Manipulative Materials
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Wenger, Robert B.; Girard, Dennis M. – Research in Higher Education, 2000
Presents a merit pay allocation model based on the principle of awarding comparable percentage salary increases to college/university faculty members with similar merit ratings. The model enables users to calculate merit pay amounts for individual faculty members in a systematic and efficient manner and can incorporate various policy directives…
Descriptors: College Faculty, Compensation (Remuneration), Faculty Evaluation, Higher Education
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