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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)

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

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

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

Kruskal, J. B. – Psychometrika, 1971
Descriptors: Mathematical Models, Mathematics, Multiple Regression Analysis, Statistical Analysis

Guttman, Louis – Psychometrika, 1971
Descriptors: Definitions, Item Analysis, Measurement, Multiple Regression Analysis

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

Hurst, Rex L. – American Educational Research Journal, 1970
Descriptors: Correlation, Mathematical Models, Multiple Regression Analysis, Research Methodology

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

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

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

Elshout, Jan; And Others – Educational and Psychological Measurement, 1979
It has been shown that the degree of restriction of range taken into account in testing the hypothesis that rho equals zero, entails risks of incorrect inferences. It is argued that an alternative is to disregard the restriction of range and to use the common t-statistics proposed by regression theory. (Author/JKS)
Descriptors: Correlation, Data Analysis, Hypothesis Testing, Multiple Regression Analysis

Butz, William P.; Ward, Michael P. – American Economic Review, 1979
This model emphasizes the distinction between male and female earnings and the distinction between families with employed wives and those without as they affect the fertility rate. (Author/IRT)
Descriptors: Birth Rate, Economic Factors, Employed Women, Models

McDonald, Roderick P. – Psychometrika, 1976
The monotone regression function of Kruskal and the rank image of Guttman and Lingoes are fitted to bivariate normal samples and their statistical properties contrasted. Tables of results are presented. (Author/JKS)
Descriptors: Goodness of Fit, Multidimensional Scaling, Multiple Regression Analysis, Nonparametric Statistics