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Joreskog, K. G. – Psychometrika, 1971
Considers the study of similarities and differences in factor structures between different groups. (AG)
Descriptors: Computer Programs, Factor Analysis, Goodness of Fit, Hypothesis Testing
Peer reviewed Peer reviewed
Whitney, Douglas R. – American Educational Research Journal, 1972
This paper describes two statistics (chi square and Kendall's S) which may be used to test hypotheses about the association between two variables when observations are cross-classified in a contingency table. (CK)
Descriptors: Attitudes, Comparative Analysis, Hypothesis Testing, Mathematical Applications
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Fischbach, Thomas J.; Walberg, Herbert J. – Journal of Educational Psychology, 1971
The methods used by Humphreys and Dachler to estimate effects in their analysis of Project TALENT data to test Jensen's Theory of Intelligence are shown to produce biased estimates. (Author/TA)
Descriptors: Intelligence Quotient, Mathematical Models, Racial Differences, Secondary School Students
Peer reviewed Peer reviewed
Hopkins, Kenneth D. – American Educational Research Journal, 1982
The recommendation to use group means when there may be nonindependence among observational units is unduly restrictive. When random factors are properly identified and included in the analysis, the results are identical in balanced analysis of variance designs, irrespective of whether group means or individual observations are employed.…
Descriptors: Analysis of Variance, Data Analysis, Hypothesis Testing, Mathematical Models
Fyans, Leslie J., Jr. – New Directions for Testing and Measurement, 1983
This chapter presents several facets of a new approach that uses generalizability theory to conduct cross-level inference in psychological and educational research. Unlike past models for cross-level research, this approach facilitates multiple-level investigations to test the external validity of results and findings. (Author/PN)
Descriptors: Analysis of Covariance, Analysis of Variance, Mathematical Models, Measurement Techniques
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Wilson, Thomas P. – Sociological Methods and Research, 1979
A recent recommendation by Holt (EJ 200 576) that coefficients resulting from estimating log-linear and similar models should not be interpreted is argued to be based on lack of clarity about the substantive and theoretical importance of the choice between dummy and effect coding for categorical variables. (Author/GDC)
Descriptors: Expectancy Tables, Goodness of Fit, Mathematical Models, Probability
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Ceurvorst, Robert W.; Krus, David J. – Applied Psychological Measurement, 1979
A method for computation of dominance relations and for construction of their corresponding hierarchical structures is presented. The link between dominance and variance allows integration of the mathematical theory of information with least squares statistical procedures without recourse to logarithmic transformations of the data. (Author/CTM)
Descriptors: Analysis of Variance, Information Theory, Least Squares Statistics, Mathematical Models
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Bintig, Arnfried – Educational and Psychological Measurement, 1980
Twelve variance-analytical and nonparametrical coefficients of reliability for rating scales designed for rating persons were compared to each other theoretically and empirically. Preference for two coefficients was established. The intraclass correlation coefficient appeared to be useful for the estimation of reliability as well. (Author/RL)
Descriptors: Analysis of Variance, Comparative Analysis, Hypothesis Testing, Mathematical Models
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Charlton, P. – International Journal of Mathematical Education in Science and Technology, 1979
An iterative procedure for adjusting examination marks from papers of varying standards is given. The convergence of the procedure is demonstrated and attention is drawn to an underlying linear model. (MP)
Descriptors: Grading, Higher Education, Mathematical Models, Mathematics
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Galbraith, Peter – Teaching Mathematics and Its Applications, 1996
Suggests ways for using data from championship tennis as a means for exploring probabilistic models, especially binomial probability. Examples include the probability of winning a service point and the probability of winning a service game using data from tables and graphs. (AIM)
Descriptors: Higher Education, Mathematical Applications, Mathematical Models, Mathematics Instruction
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Schubo, Werner – Educational and Psychological Measurement, 1990
The mean and variance of the statistic psi-star, which is useful for measuring agreement between two raters and allows for tests of significance in the case of large samples, are considered. Results may also be applied for the "G" index of J. W. Holley and J. P. Guilford (1964). (SLD)
Descriptors: Correlation, Equations (Mathematics), Mathematical Models, Rating Scales
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Molenaar, Ivo W.; Hoijtink, Herbert – Psychometrika, 1990
Statistical properties of person fit indices are reviewed as indicators of the extent to which a person's score pattern is in agreement with a measurement model. Distribution of a fit index and ability-free fit evaluation are discussed. The null distribution was simulated for a test of 20 items. (SLD)
Descriptors: Item Banks, Item Response Theory, Mathematical Models, Monte Carlo Methods
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Aiken, Lewis R. – Educational and Psychological Measurement, 1989
Two coefficients ("H" and "C") for evaluating the homogeneity or congruence of a set of ratings or scores are described. Statistical tests of the significance of these indexes are presented, along with a description of a computer program (CHOPRO) for determining values of "C" and "H" and associated…
Descriptors: Computer Software, Congruence (Mathematics), Equations (Mathematics), Mathematical Models
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Holt, Judith A.; Macready, George B. – Applied Psychological Measurement, 1989
The robustness of the likelihood ratio difference statistic to the violation of a regularity condition when used to assess differences in fit provided by pairs of latent class models was investigated. Recommendations are made regarding the use of the statistic under violation of the regularity condition. (SLD)
Descriptors: Chi Square, Comparative Analysis, Goodness of Fit, Mathematical Models
Peer reviewed Peer reviewed
de Leeuw, Jan – Psychometrika, 1988
Multivariate distributions are studied in which all bivariate regressions can be linearized by separate transformation of each of the variables. A two-stage procedure, first scaling the variables optimally and then fitting a simultaneous equations model, is studied in detail. (SLD)
Descriptors: Correlation, Equations (Mathematics), Factor Analysis, Mathematical Models
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