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Bissett, Randall; Schneider, Bruce – Psychometrika, 1991
The algorithm developed by B. A. Schneider (1980) for analysis of paired comparisons of psychological intervals is replaced by one proposed by R. M. Johnson. Monte Carlo simulations of pairwise dissimilarities and pairwise conjoint effects show that Johnson's algorithm can provide good metric recovery. (SLD)
Descriptors: Algorithms, Comparative Analysis, Computer Simulation, Equations (Mathematics)
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Tate, William F.; And Others – Educational Policy, 1993
A restrictive form of equality limits African Americans' ability to benefit equally from public schooling. The "Brown" decision represents the Supreme Court's attempt to apply a mathematical solution to a social problem and left schools free to develop responses that failed to address African-American students' needs. A more expansive…
Descriptors: Blacks, Court Litigation, Educational Quality, Elementary Secondary Education
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Hungerford, Thomas; Upshaw, Wayne – Economics of Education Review, 1994
Focuses on a specific federal credit program (the guaranteed student loan program), using the Engle and Granger two-step procedure to estimate an error correction model of commercial student loan supply. Results indicate that the secondary market is an important determinant of commercial student loan lending and that commercial supply is inelastic…
Descriptors: College Students, Federal Programs, Higher Education, Human Capital
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Confrey, Jere; Smith, Erick – Educational Studies in Mathematics, 1994
Describes a covariational, rather than correspondence, approach to functions that emphasizes rate of change. Proposes three ways of understanding rate of change in relation to exponential functions. (Contains 41 references.) (Author/MKR)
Descriptors: Cognitive Processes, Constructivism (Learning), Exponents (Mathematics), Functions (Mathematics)
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Wilcox, Rand R. – Psychometrika, 1991
New methods for comparing the medians corresponding to independent treatment groups are suggested. Procedures are based on the estimator of F. Harrell and C. Davis in conjunction with a modification and extension of the bootstrap calibration technique suggested by W. Loh. Data from two groups provide an illustration. (SLD)
Descriptors: Comparative Analysis, Computer Simulation, Equations (Mathematics), Estimation (Mathematics)
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Nandakumar, Ratna – Journal of Educational Measurement, 1991
A statistical method, W. F. Stout's statistical test of essential unidimensionality (1990), for exploring the lack of unidimensionality in test data was studied using Monte Carlo simulations. The statistical procedure is a hypothesis test of whether the essential dimensionality is one or exceeds one, regardless of the traditional dimensionality.…
Descriptors: Ability, Achievement Tests, Computer Simulation, Equations (Mathematics)
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Gressard, Risa P.; Loyd, Brenda H. – Journal of Educational Measurement, 1991
A Monte Carlo study, which simulated 10,000 examinees' responses to four tests, investigated the effect of item stratification on parameter estimation in multiple matrix sampling of achievement data. Practical multiple matrix sampling is based on item stratification by item discrimination and a sampling plan with moderate number of subtests. (SLD)
Descriptors: Achievement Tests, Comparative Testing, Computer Simulation, Estimation (Mathematics)
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Kolen, Michael J. – Journal of Educational Measurement, 1991
Estimation/smoothing methods that are flexible enough to fit a wide variety of test score distributions are reviewed: kernel method, strong true-score model-based method, and method that uses polynomial log-linear models. Applications of these methods include describing/comparing test score distributions, estimating norms, and estimating…
Descriptors: Comparative Analysis, Equated Scores, Equations (Mathematics), Estimation (Mathematics)
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Cudeck, Robert – Journal of Educational Statistics, 1991
Two algorithms that automatically select subsets of variables (PACE algorithm) and reference variables (Fabin estimators), respectively, used for the noniterative estimators are presented. The PACE algorithm is based on a nonsymmetric matrix sweep operator. A Monte Carlo experiment compares the relative performance of these estimators and others.…
Descriptors: Algorithms, Comparative Analysis, Equations (Mathematics), Estimation (Mathematics)
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Bookstein, Abraham; And Others – Information Processing and Management, 1992
Describes the use of loglinear statistical models in the field of informetrics, especially for the analysis of information systems. A detailed example is given of developing a model based on loglinear analysis to determine book acquisition patterns in libraries, including mathematical considerations and algorithms. (19 references) (LRW)
Descriptors: Algorithms, Information Retrieval, Information Science, Information Systems
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Kavale, Kenneth A.; Nye, Chad – Exceptionality: A Research Journal, 1991
Two causal models are presented to describe influences on the performance of students with learning disabilities. The first model associates reading and math with three domains: neuropsychological, linguistic, and social-behavioral. The second model involved relationships among selected individual variables and suggests that learning disability is…
Descriptors: Causal Models, Elementary Secondary Education, Influences, Learning Disabilities
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Lambert, Zarrel V.; And Others – Multivariate Behavioral Research, 1991
A method is presented that eliminates some interpretational limitations arising from assumptions implicit in the use of arbitrary rules of thumb to interpret exploratory factor analytic results. The bootstrap method is presented as a way of approximating sampling distributions of estimated factor loadings. Simulated datasets illustrate the…
Descriptors: Behavioral Science Research, Computer Simulation, Estimation (Mathematics), Factor Structure
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Schweizer, Karl – Multivariate Behavioral Research, 1991
A mathematical formula is introduced for the effect of integrating data. A method is then derived to eliminate the effect from correlations of variables, including mean composites, thus allowing for a clustering algorithm that requires allocation of variables according to the magnitude of their correlations. Examples illustrate the procedure. (SLD)
Descriptors: Algorithms, Classification, Cluster Analysis, Computer Simulation
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Gerbing, David W.; Tuley, Michael R. – Multivariate Behavioral Research, 1991
The Sixteen Personality Factor Inventory (16PF) was examined concerning recent methodological and substantive developments: restricted (confirmatory) factor analysis, and the five-factor model of personality as operationalized in the NEO-Personality Inventory. Two studies with 645 college students show that the 16PF remains robust in light of…
Descriptors: Affective Measures, College Students, Comparative Testing, Higher Education
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Bird, Kevin D. – Educational and Psychological Measurement, 1991
A method is outlined for analysis of the shape of an individual profile of scores on a standardized test battery. The method uses a simultaneous test procedure allowing for an overall test of profile flatness, with follow-up tests on all contrasts of interest. (SLD)
Descriptors: Equations (Mathematics), Hypothesis Testing, Mathematical Models, Profiles
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