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Showing 16 to 30 of 185 results Save | Export
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Mellenbergh, Gideon J. – Journal of Educational Statistics, 1982
Strategies for assessing item bias are discussed. Correct response probabilities in latent trait models are compared conditional on latent ability. Probabilities are compared conditional on the observed test score in Scheuneman's method. A method to assess item bias and distinguish between uniform and nonuniform bias is described. (Author/DWH)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Statistical Studies
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Newman, Isadore; Thomas, Jay – Multiple Linear Regression Viewpoints, 1979
Fifteen examples using different formulas for calculating degrees of freedom for power analysis of multiple regression designs worked out by Cohen are presented, along with a more general formula for calculating such degrees of freedom. (Author/JKS)
Descriptors: Hypothesis Testing, Mathematical Models, Multiple Regression Analysis, Power (Statistics)
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Aitkin, Murray A. – 1972
Fixed-width confidence intervals for a population regression line over a finite interval of x have recently been derived by Gafarian. The method is extended to provide fixed-width confidence intervals for the difference between two population regression lines, resulting in a simple procedure analogous to the Johnson-Neyman technique. (Author)
Descriptors: Analysis of Covariance, Mathematical Applications, Mathematical Models, Multiple Regression Analysis
Boldt, Robert F. – 1972
The Rasch model and other latent trait models encounter some difficulty when faced with an appreciable amount of missing data or omitting behavior. The present note assumes that some reasonable missing data model has been formulated which does not involve the parameters associated with the latent ability of interest. A maximum likelihood function…
Descriptors: Data Analysis, Item Analysis, Mathematical Models, Measurement Techniques
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Penfield, Douglas A.; Koffler, Stephen L. – Educational and Psychological Measurement, 1986
The development of a nonparametric K-sample test for equality of slopes using Puri's generalized L statistic is presented. The test is recommended when the assumptions underlying the parametric model are violated. This procedure replaces original data with either ranks (for data with heavy tails) or normal scores (for data with light tails).…
Descriptors: Mathematical Models, Nonparametric Statistics, Regression (Statistics), Sampling
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Formann, Anton K. – Psychometrika, 1986
It is shown that for equal parameters explicit formulas exist, facilitating the application of the Newton-Raphson procedure to estimate the parameters in the Rasch model and related models according to the conditional maximum likelihood principle. (Author/LMO)
Descriptors: Latent Trait Theory, Mathematical Models, Matrices, Maximum Likelihood Statistics
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Clogg, Clifford C.; Goodman, Leo A. – Psychometrika, 1986
Statistical methods are presented to facilitate a more complete analysis of results obtained when a scaling model is applied to data from two or more groups. Various kinds of scaling models are considered here in the multiple-group context. (Author/LMO)
Descriptors: Mathematical Models, Measurement Techniques, Response Style (Tests), Scaling
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Holland, Paul W.; Thayer, Dorothy T. – Journal of Educational Statistics, 1985
Section pre-equating (SPE) equates a new test to an old test prior to the actual use of a new test by making extensive use of experimental sections of a testing instrument. SPE theory is extended to allow for practice effects on both the old and new tests. (Author/BS)
Descriptors: Equated Scores, Mathematical Models, Statistical Studies, Test Construction
Peer reviewed Peer reviewed
Macready, George B. – Psychometrika, 1982
A strategy for the pairwise assessment which may be used to evaluate the nature of both "prerequisite" and "transference" relations existing among a set of traits is presented. Both confirmatory and exploratory strategies are presented. An example of how the strategy would be used is presented in the exploratory context.…
Descriptors: Correlation, Data Analysis, Item Analysis, Latent Trait Theory
Meshbane, Alice; Morris, John D. – 1994
A method for comparing the cross validated classification accuracies of linear and quadratic classification rules is presented under varying data conditions for the k-group classification problem. With this method, separate-group as well as total-group proportions of correct classifications can be compared for the two rules. McNemar's test for…
Descriptors: Classification, Comparative Analysis, Correlation, Discriminant Analysis
Ackerman, Terry A.; Spray, Judith A. – 1986
A model of test item dependency is presented and used to illustrate the effect that violations of local independence have on the behavior of item characteristic curves. The dependency model is flexible enough to simulate the interaction of a number of factors including item difficulty and item discrimination, varying degrees of item dependence,…
Descriptors: Difficulty Level, Item Analysis, Latent Trait Theory, Mathematical Models
Phillips, Gary W. – 1982
The usefulness of path analysis as a means of better understanding various linear models is demonstrated. First, two linear models are presented in matrix form using linear structural relations (LISREL) notation. The two models, regression and factor analysis, are shown to be identical although the research question and data matrix to which these…
Descriptors: Estimation (Mathematics), Factor Analysis, Mathematical Models, Matrices
Marshall, J. Laird; Serlin, Ronald C. – 1979
Four recent indices emphasizing the interrelationships of score distribution shape, modality, mean, and variance were investigated to determine the reliability of mastery tests. Attention was focused on the values of the indices when the cutoff score was near to or far from the modes of distribution. Five types of score distributions were…
Descriptors: Cutting Scores, Mastery Tests, Mathematical Formulas, Mathematical Models
Morris, Jon R.; Guenter, Cornelius – 1973
Press coverage of a suburban midwest school district is analyzed as a set of time series of observations including the amount and quality of coverage. Possible shifts in these series because of the emergence of controversial issues are analyzed statistically using the Integrated Moving Average Time Series Model. Evidence of significant shifts in…
Descriptors: Bond Issues, Classification, Mathematical Models, News Media
Draper, John F., Jr. – 1972
The applicability of the Analysis of Variance, ANOVA, procedures to the analysis of dichotomous repeated measure data is described. The design models for which data were simulated in this investigation were chosen to represent simple cases of two experimental situations: situation one, in which subjects' responses to a single randomly selected set…
Descriptors: Analysis of Variance, Factor Analysis, Mathematical Models, Research Methodology
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