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Waller, Niels G. – Psychometrika, 2011
In linear multiple regression, "enhancement" is said to occur when R[superscript 2] = b[prime]r greater than r[prime]r, where b is a p x 1 vector of standardized regression coefficients and r is a p x 1 vector of correlations between a criterion y and a set of standardized regressors, x. When p = 1 then b [is congruent to] r and…
Descriptors: Multiple Regression Analysis, Geometry, Equations (Mathematics)
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Shieh, Gwowen – Psychometrika, 2007
The underlying statistical models for multiple regression analysis are typically attributed to two types of modeling: fixed and random. The procedures for calculating power and sample size under the fixed regression models are well known. However, the literature on random regression models is limited and has been confined to the case of all…
Descriptors: Sample Size, Monte Carlo Methods, Multiple Regression Analysis, Statistical Analysis
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Dusseldorp, Elise; Meulman, Jacqueline J. – Psychometrika, 2004
The regression trunk approach (RTA) is an integration of regression trees and multiple linear regression analysis. In this paper RTA is used to discover treatment covariate interactions, in the regression of one continuous variable on a treatment variable with "multiple" covariates. The performance of RTA is compared to the classical…
Descriptors: Simulation, Psychometrics, Multiple Regression Analysis, Models