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Montanelli, Richard G.; Humphreys, Lloyd G. – Psychometrika, 1976
In order to make the parallel analysis criterion for determining the number of factors in factor analysis easy to use, regression equations for predicting the logarithms of the latent roots of random correlation matrices, with squared multiple correlations on the diagonal, are presented. (Author/JKS)
Descriptors: Correlation, Factor Analysis, Matrices, Monte Carlo Methods
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Lord, Frederic M.; Stocking, Martha L. – Psychometrika, 1976
A numerical procedure is outlined for obtaining an interval estimate of the regression of true score or observed score, utilizing only the frequency distribution of observed scores. The procedure assumes that the conditional distribution of observed scores for fixed true scores is binomial. Several illustrations are given. (Author/HG)
Descriptors: Correlation, Multiple Regression Analysis, Raw Scores, Statistical Analysis
Henard, David H. – 1998
The important and sometimes difficult-to-grasp concept of regression suppressor variable effects is explored. An inquiry into the phenomenon of suppressor effects is accomplished via a synthesis of the existing literature and the use of a small heuristic data set to improve the accessibility of the concept. Implications for researchers are also…
Descriptors: Heuristics, Multiple Regression Analysis, Predictive Measurement, Predictor Variables
Newman, Isadore; Hall, Rosalie J.; Fraas, John – 2003
Multiple linear regression is used to model the effects of violating statistical assumptions on the likelihood of making a Type I error. This procedure is illustrated for the student's t-test (for independent groups) using data from previous Monte Carlo studies in which the actual alpha levels associated with violations of the normality…
Descriptors: Estimation (Mathematics), Monte Carlo Methods, Multiple Regression Analysis, Regression (Statistics)
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Conger, Anthony J. – Journal of Educational and Psychological Measurement, 1974
Descriptors: Definitions, Measurement Techniques, Multiple Regression Analysis, Predictor Variables
McNeil, Keith; Lewis, Ernest L. – Measurement and Evaluation in Guidance, 1972
This article illustrates the role multiple linear regression can play in developing prediction equations by providing examples of regression models that could be used in answering questions relative to the importance of a single predictor variable, interactions between predictor variables, and the cross-validation and generalizability of…
Descriptors: Measurement Techniques, Multiple Regression Analysis, Prediction, Predictor Variables
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Darlington, Richard B.; Rom, Jean F. – American Educational Research Journal, 1972
Paper proposes a set of techniques for measuring the importance" of each independent variable in a multivariate causal law (i.e., a law showing the combined effect of several independent variables on a single dependent variable). (Authors)
Descriptors: Mathematical Applications, Measurement, Multiple Regression Analysis, Path Analysis
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Webster, William J.; Eichelberger, R. Tony – Journal of Experimental Education, 1972
Article applies multiple regression analytic technique to the CIPP model. (Authors/MB)
Descriptors: Decision Making, Evaluation Methods, Models, Multiple Regression Analysis
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Kruskal, J. B. – Psychometrika, 1971
Descriptors: Mathematical Models, Mathematics, Multiple Regression Analysis, Statistical Analysis
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Guttman, Louis – Psychometrika, 1971
Descriptors: Definitions, Item Analysis, Measurement, Multiple Regression Analysis
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Williams, John D.; Lindem, Alfred C. – Educational and Psychological Measurement, 1971
Setwise regression analysis is a new technique developed to allow a stepwise solution when the interest is in sets of variables rather than in single variables. (CK)
Descriptors: Computer Programs, Correlation, Multiple Regression Analysis, Predictor Variables
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Hurst, Rex L. – American Educational Research Journal, 1970
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Research Methodology
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Wasik, John L. – Educational and Psychological Measurement, 1981
The use of segmented polynomial models is explained. Examples of design matrices of dummy variables are given for the least squares analyses of time series and discontinuity quasi-experimental research designs. Linear combinations of dummy variable vectors appear to provide tests of effects in the two quasi-experimental designs. (Author/BW)
Descriptors: Least Squares Statistics, Mathematical Models, Multiple Regression Analysis, Quasiexperimental Design
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Cohen, Jacob – Multivariate Behavioral Research, 1982
Set correlation is a multivariate generalization of multiple regression/correlation analysis that features the employment of overall measures of association interpretable as proportions of variance and the use of set-partialled sets of variables. The statistical development of the theory and several examples are presented. (Author/JKS)
Descriptors: Correlation, Data Analysis, Multiple Regression Analysis, Multivariate Analysis
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Muller, Keith E. – Psychometrika, 1981
Redundancy analysis is an attempt to provide nonsymmetric measures of the dependence of one set of variables on another set. This paper attempts to clarify the nature of redundancy analysis and its relationships to canonical correlation and multivariate multiple linear regression. (Author/JKS)
Descriptors: Correlation, Data Analysis, Multiple Regression Analysis, Multivariate Analysis
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