Diagnostics of partial regression and partial residual plots

  • Lee, Jea-Young (Department of Statistics, and Institute of Natural Science, Yeungnam University) ;
  • Choi, Suk-Hwa (Department of Statistics, Yeungnam University)
  • Published : 2000.04.30


The variance inflation factor can be expressed by the square of the ratio of t-statistics associated with slopes of partial regression and partial residual plots. Disagreement of two sides in the interpretation can be occurred, and we analyze it with some illustrations.


  1. Journal of Royal Statistical Society, Series, B v.29 Topics in the investigation of linear relation fitted by the method of least squares(with discussion) Anscombe, F. J.
  2. The American Statistician v.49 Graphical Interpretation of Variance Inflation Factors Rober A. Stine
  3. Regression Diagnostics Chatterjee, S.;Price, B.
  4. Technometrics v.15 The Use of Individual Effects and Residuals in Fitting Equations to Data Wood, F. S.
  5. Data Analysis and Regression Mosteller, F.;Tukey, J. W.
  6. Regression Diagnostics: Identifying Influential Data and Sources of Collinearity Belsley, D. A.;Kuh, E.;Welsch, R. E.
  7. Applied Linear Regression Weisberg, S.
  8. American Statistical Association v.41 no.2 Diagnostic Value of Residual and Partial Residual Plots Mansfield, E. R.;Conerly, M. D.
  9. Applied Regression Analysis(2nd edition) Draper, N. R.;Smith, H.
  10. Journal of the American Statistical Association v.19 A method of handling curvilinear correlation for any number of variables Ezekeil, M.
  11. Residuals and Influence in Regression Cook, R. D.;Weisberg, S.
  12. Technometrics v.14 The use of partial residual plots in regression analysis Larsen, W. A.;McCleary, S. J.
  13. Technometrics v.12 Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation Marquardt, D. W.