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Peer reviewedSorbom, Dag – Psychometrika, 1989
A modification index is presented to aid in reformulating hypothetical models rejected after analysis of empirical data. This index is an improvement over the one in the LISREL V computer program in that it takes into account changes in all parameters of the model when one parameter is freed. (SLD)
Descriptors: Equations (Mathematics), Evaluation Methods, Factor Analysis, Hypothesis Testing
Peer reviewedMacCann, Robert G. – Journal of Educational Statistics, 1990
For anchor test equating, 3 linear observed score methods are derived for populations differing in ability. Each version requires that the correlations of the tests with the selection variable be known. Five sets of assumptions are made for each model--yielding 15 methods--which are then related to existing methods. (SLD)
Descriptors: Ability, Ability Grouping, Equated Scores, Equations (Mathematics)
Peer reviewedOppenheim, Rosa – Computers and the Humanities, 1988
Examines mathematical models of style analysis, focusing on the pattern in which literary characteristics occur. Describes an autoregressive integrated moving average model (ARIMA) for predicting sentence length in different works by the same author and comparable works by different authors. This technique is valuable in characterizing stylistic…
Descriptors: Content Analysis, Correlation, Literary Criticism, Literary Styles
Peer reviewedKim, Mary T. – Library and Information Science Research, 1992
Reviews three citation-based measures for the study of journal status--influence weight, importance index, and measure of standing--to provide more convenient access to their computation. A subset of nine library and information science journals is used to illustrate simple computational procedures using the SAS statistical software package. (18…
Descriptors: Citation Analysis, Comparative Analysis, Computer Software, Library Science
Peer reviewedWorthington, Andrew C. – Education Economics, 2001
Discusses the theory of microeconomic efficiency measurement, including frontier efficiency-measurement techniques; reviews the research measuring inefficiency in education; discusses the determinants of educational efficiency; includes table listing author, methodology, inputs and output, analytical techniques, and main findings for 28 studies of…
Descriptors: Econometrics, Economic Research, Efficiency, Elementary Secondary Education
Morris, Don R. – 1990
A search for patterns in grade retention rates across grades 1-12 to construct simulation research models is described in this paper. Aggregate data from Shepard and Smith (1989) on grade retention rates from 12 American states for the year 1979-80 and from 11 states for 1985-86 were examined for across-grade patterns, supplemented by Dade County…
Descriptors: Comparative Analysis, Correlation, Elementary Secondary Education, Grade Repetition
Peer reviewedBruno, James Edward; Nelkin, Ira – Educational Planning, 1975
The logit methodology provides a unique way of examining input-output relationships for social systems where the principal output of the analysis is a probability of some action or state. (Author)
Descriptors: Discriminant Analysis, Educational Planning, Educational Policy, Elementary Secondary Education
Fisk, Yvette Hester – 1991
The reasons for recent endeavors to evaluate item bias are discussed, and item bias is defined. Some of the literature regarding the most promising methods of detecting item bias is reviewed. Three classes of methods for detecting item bias are discussed using concrete examples and illustrations. These methods are: (1) latent trait; (2)…
Descriptors: Chi Square, Comparative Analysis, Difficulty Level, Item Bias
Mislevy, Robert J. – 1985
Simultaneous estimation of many parameters can often be improved, sometimes dramatically so, if it is reasonable to consider one or more subsets of parameters as exchangeable members of corresponding populations. While each observation may provide limited information about the parameters it is modeled directly in terms of, it also contributes…
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
Levine, Michael V. – 1982
Significant to a latent trait or item response theory analysis of a mental test is the determination of exactly what is being quantified. The following are practical problems to be considered in the formulation of a good theory: (1) deciding whether two tests measure the same trait or traits; (2) analyzing the relative contributions of a pair of…
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Measurement Techniques
Wolfle, Lee M. – 1982
Direct and indirect effects in decomposed zero-order correlations among variables in causal models are considered. Under certain circumstances, the components of the decompositions could be interpreted as direct, indirect, and spurious causal effects, plus a component called joint associations. The sum of the direct and indirect effects is the…
Descriptors: Elementary Secondary Education, Estimation (Mathematics), Mathematical Formulas, Mathematical Models
McKinley, Robert L.; Reckase, Mark D. – 1982
Several special cases of the general Rasch model, varying in complexity, were investigated to determine whether they could successfully model realistic multidimensional item response data. Whether the parameters of the model could be readily interpreted was also investigated. The models investigated included: (1) the vector model; (2) the product…
Descriptors: Goodness of Fit, Item Analysis, Latent Trait Theory, Mathematical Models
Livingston, Samuel A. – 1984
Much previously published material for estimating the reliability of classification has been based on the assumption that a test consists of a known number of equally weighted items. The test score is the number of those items answered correctly. These methods cannot be used with classifications based on weighted composite scores, especially if…
Descriptors: Equated Scores, Essay Tests, Estimation (Mathematics), Mathematical Models
PDF pending restorationBrown, Ric; Carbonari, Joseph P. – 1977
Identification and explication of construct relationships, under conditions of extraneous variable control in multiple regression and its multivariate analog, canonical analysis, were studied. Several data models were generated as a function of the interaction of partial correlation and orthogonal linear transformations on nursing examination…
Descriptors: Correlation, Factor Analysis, Mathematical Models, Multiple Regression Analysis
Walker, J. Malcolm; Lawler, John J. – 1978
The interaction effects among organizational commitment, perceived personal efficacy, and expectations with respect to the impact of collective bargaining are explored in relation to their effect on the degree of faculty support for collective bargaining. Data for the analysis was derived from approximately 1,450 full-time faculty in California…
Descriptors: Collective Bargaining, College Faculty, Expectation, Faculty College Relationship


