yhat-package {yhat}R Documentation

Interpreting Regression Effects

Description

The purpose of this package is to provide methods for variance partitioning for linear models and canonical correlation and methods for interpreting regression effects using beta weights, standardized beta weights, structure coefficients, and adjusted effect sizes.

Details

Package: yhat
Type: Package
Version: 1.0
Date: 2009-07-02
License: GPL (>= 2)
LazyLoad: yes

The regr reports beta weights, standardized beta weights, structure coefficients, adjusted effect sizes, and commonality coefficients.

The commonalityCoeffcients function is based on Mood's (1969) procedure for computing commonality analysis formulas for any number of k predictor variables. The function outputs a list of two tables. The first table lists the commonality coefficients and the percentage of variance associated with each effect. The second table provides a total of the unique and common effects for each independent variable.

The canonCommonality function produces commonality data for both canonical variables sets. Variables in a given canonical set are used to partition the variance of the canonical variates produced from the other canonical set and vica versa. Commonality data is supplied for the number of canonical functions requested.

Canonical commonality analysis is not substantively different from regression commonality analysis developed by Mood (1969). In fact, Beaton (1973) recognized multivariate commonality as a simple generalization of univariate commonality, indicating that the two techniques provide identical results when one canonical set contains only a single variable.

Author(s)

Kim Nimon <kim.nimon@gmail.com>, J. Kyle Roberts <kyler@smu.edu>

References

Beaton, A. E. (1973) Commonality. (ERIC Document Reproduction Service No. ED111829)

Butts, C. T. (2009). yacca: Yet Another Canonical Correlation Analysis Package. R package version 1.1.

Mood, A. M. (1969) Macro-analysis of the American educational system. Operations Research, 17, 770-784.

Nimon, K., Lewis, M., Kane, R. & Haynes, R. M. (2008) An R package to compute commonality coefficients in the multiple regression case: An introduction to the package and a practical example. Behavior Research Methods, 40(2), 457-466.

See Also

regr commonalityCoefficients canonCommonality


[Package yhat version 1.0-3 Index]