Added-variable plots and curvature in linear regression

Technometrics

Volumn 38, Issue 3, 1996, Pages 275-278

  Cook, R Dennis ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Component plus residual plots; Influential observations; Partial residual plots; Predictor transformations

Indexed keywords

EID: 0012390849     PISSN: 00401706     EISSN: 15372723     Source Type: Journal    
DOI: 10.1080/00401706.1996.10484507     Document Type: Article

References (19)

1. Belsley, D. A., Kuh, E., and Welsch, R. E. (1980), Regression Diagnostics, New York: John Wiley.
2. Brieman, L., and Friedman, J. H. (1985), “Estimating Optimal Transformations for Multiple Regression and Correlations” (with discussion), Journal of the American Statistical Association, 80, 580-619.
3. Chambers, J. M., Cleveland, W. S., Kleiner, B., and Tukey, P. A. (1983), Graphical Methods for Data Analysis, Belmont, CA: Wadsworth.
4. Cook, R. D. (1986), “Assessment of Local Influence” (with discussion), Journal of the Royal Statistical Society, Ser. B, 48, 133-169.
5. Cook, R. D. (1993), “Exploring Partial Residual Plots,” Technometrics, 35, 351-362.
6. Cook, R. D. (1994), “On the Interpretation of Regression Plots,” Journal of the American Statistical Association, 89, 177-189.
7. Cook, R. D., and Weisberg, S. (1982), Residuals and Influence in Regression, London: Chapman and Hall.
8. Cook, R. D. (1989), “Regression Diagnostics With Dynamic Graphics” (with discussion), Technometrics, 31, 277-311.
9. Cox, D. R. (1958), Planning of Experiments, New York: John Wiley.
10. Davison, A. C., and Snell, E. J. (1991), “Residuals and Diagnostics,” in Statistical Theory and Modelling, eds. D. V. Hinkley, N. Reid, and E. S. Snell, London: Chapman and Hall, pp. 83-105.
11. Draper, N. R., and Smith, H. (1966), Applied Regression Analysis, New York: John Wiley.
12. Henderson, H. V., and Velleman, P. F. (1981), “Building Multiple Regression Models Interactively,” Biometrics, 31, 391-412.
13. Johnson, B. W., and McCulloch, R. E. (1987), “Added-Variable Plots in Linear Regression,” Technometrics, 29, 427-34.
14. Landwehr, J. M., and Pregibon, D. (1993), Comments on “Improved Added Variable and Partial Residual Plots for the Detection of Influential Observations in Generalized Models,” by R. J. O’Hara Hines and E. M. Carter, Applied Statistics, 42, 16-20.
15. Lawrance, A. J. (1986), Discussion of “Assessment of Local Influence,” by R. D. Cook, Journal of the Royal Statistical Society, Ser. B, 48, 157-159.
16. Mosteller, F., and Tukey, J. W. (1977), Data Analysis and Regression, Reading, MA: Addison-Wesley.
17. O’Hara Hines, R. J., and Carter, E. M. (1993), “Improved Added Variable and Partial Residual Plots for the Detection of Influential Observations in Generalized Models,” Applied Statistics, 42, 3-16.
18. Sail, J. (1990), “Leverage Plots for General Linear Hypotheses,” The American Statistician, 44, 308-315.
19. Weisberg, S. (1985), Applied Linear Regression, New York: John Wiley.