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Curvilinear Extensions to Johnson-Neyman Regions of Significance and Some Applications to Educational Research.
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Wunderlich, Kenneth W.; Borich, Gary D. – 1974
Considerable thought, research, and concern has been expanded in an effort to determine whether the assumption of a quadratic relation between a single predictor and a criterion violated the assumptions which Johnson and Neyman (1936) state for calculating regions of significance about interacting regressions. In particular, there has been special…
Descriptors: Computer Programs, Educational Research, Hypothesis Testing, Mathematical Models
Homogeneity of Slopes Test for Multiple Regression Equations with Reference to Aptitude-Treatment Interactions
Peer reviewed Peer reviewed
Borich, Gary D. – Journal of Experimental Education, 1972
Paper reviews the test for regression lines and provides equations for expanding this test to regression planes. (Author)
Descriptors: Analysis of Covariance, Homogeneous Grouping, Mathematical Applications, Multiple Regression Analysis
Homogeneity of Slopes Test for Multiple Regression Equations with Reference to Aptitude-Treatment Interactions.
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Borich, Gary D. – 1971
Methods exist for testing the homogeneity of group regression for the case in which there is only one predictor. Studies which have investigated aptitude-treatment interactions have adopted the homogeneity of regressions test as standard methodology for assessing the difference in regression slopes across treatments. Additional statistical…
Descriptors: Analysis of Covariance, Correlation, Interaction, Interaction Process Analysis
Johnson-Neyman Revisited: Determining Interactions Among Group Regressions and Plotting Regions of Significance in the Case of Two Groups, Two Predictors, and One Criterion
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Borich, Gary D.; Wunderlich, Kenneth W. – Educational and Psychological Measurement, 1973
Descriptors: Analysis of Covariance, Computer Programs, Homogeneous Grouping, Input Output
Linear and Curvilinear Models for Aptitude-Treatment Interactions.
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Borich, Gary D. – 1972
Statistical procedures are presented for determining ordinal and disordinal aptitude-treatment interactions with linear and curvilinear data. The paper presents a method for testing the homogeneity of group regressions for a single aptitude and provides models for expanding this test to linear and curvilinear regression planes. Procedures are…
Descriptors: Aptitude Tests, Correlation, Factor Analysis, Interaction