A Combining Dynamic Graph of Added Variable Plot and Component plus Residual Plot

  • Published : 1997.04.01

Abstract

Added variable plot and component-plus-residual plot are very useful for studying the role of a predictor in classical regression analysis. The former is usually used to check the effect of adding a new variable to existing model. The latter has been suggested as computationally convenient substitutes for the added variable plots, however, this plot is found to be better in detecting nonlinear relationships of a new predictor. By combining these two plots dynamically, we can take advantages of two plots simultaneously. And even further, we can get some knowledge of collinearity between a new predictor and predictors already in the model, and more accurate information about the possible outliers.

Keywords

References

  1. Journal of the Royal Statistical Society, Ser. B v.44 Regression Diagnostics, Transformations and Constructed Variables (with discussion) Atkinson, A. C.
  2. Regression Diagnostics: Identifying Influential Data and Sources of Collinearity Besley, D. A.;Kuh, E.;Welsh, R. E.
  3. Tecnometrics Exploring Partial Residual Plots Cook, R. D.
  4. Residuals and Influence in Regression Cook, R. D.;Weisberg, S.
  5. Introduction to Regression Graphics Cook, R. D.;Weisberg, S.
  6. The Journal of the American Statistical Association v.19 A method for handling curvilinear correlation for any number og variables Ezekiel, M.
  7. Technometrics v.29 Added-Variable Plots in Linear Regression Johnson, B. W.;McCulloch, R. E.
  8. Technometrics v.14 The Use of Partial Residual Plots in Linear Regression Analysis Larsen, A. L.;McCleary, S. J.
  9. Journal of the American Statistical Association v.62 An appraisal of least squares programs for the electronic computer from the point of view of the user Longley, J. W.
  10. Journal of the Royal Statistical Society(Ser. B) v.44 Discussion of Regression Diagnostics, Transformations, and Constructed Variables Mallows, C. L.;A. C. Atkinson
  11. Technometrics v.28 Augmented partial Residuals Mallows, C. L.
  12. Data Analysis and Linear Regression, Reading, Mass Mosteller, F.;Tukey, J. W.
  13. LISP-STAT Tierney, L.
  14. American Statistician v.35 Efficient computing of regression diagnostics Velleman, P.;Welsch, R.
  15. Journal of the Royal Statistical Society(Ser. B) v.44 Discussion of Regression Diagnostics, Transformations and Constructed Variables Weisberg, S.;A. C. Atkinson
  16. Journal of the Royal Statistical Society(Ser. B) v.44 Discussion of Regression diagnostics, Transformations, and Constructed Variables Welsch, R. E.;A. C. Atkinson
  17. Technometrics v.15 The use of individual effects and residuals in fitting equations to data Wood, F. S.