Theory and illustration of regression influence diagnostics

Communications in Statistics - Theory and Methods

Volumn 29, Issue 9-10, 2000, Pages 2079-2107

  Brown, G C ^a   Lawrance, A J ^b  

^a UNIVERSITY OF ABERDEEN   (United Kingdom)

^b UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Deletion influence; Local influence; Perturbation; Regression diagnostics

Indexed keywords

EID: 13444313614     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610920008832597     Document Type: Article

References (18)

1. Atkinson, A. C. (1985). Plots, Transformations and Regression, Oxford: Clarendon Press.
2. Belsley, D.A., Kuh, E. and Welsch, R. E. (1980). Regression Diagnostics, New York: John Wiley.
3. Billor, N. and Loynes, R. M. (1993). "Local Influence: A New Approach." Communications in Statistics - Theory and Methods, 22(6), 1595-1611.
4. Chatterjee, S. and Hadi, A. S. (1986). "Influential Observations, High Leverage Points and Outliers in Linear Regression (with discussion)." Statistical Science, 1, 379-416.
5. Chatterjee, S. and Hadi, A. S. (1988). Sensitivity Analysis in Linear Regression, New York: John Wiley.
6. Cook, R. D. (1977). "Detection of Influential Observations in Linear Regression." Technometrics, 19, 15-18.
7. Cook, R. D. (1986). "Assessment of Local Influence (with discussion)." Journal of the Royal Statistical Society, Series B, 48, 133-169.
8. Cook, R. D. Pena, D. and Weisberg, S. (1988). "The Likelihood Displacement: a Unifying Principle for Influence Measures." Communications in Statistics - Theory and Methods, 17(3), 623-640.
9. Cook, R. D. and Weisberg, S. (1982). Residuals and Influence in Regression. London: Chapman & Hall.
10. Fung, W.K. and Kwan, C.W. (1997). "A Note on Local Influence Based Normal Curvature." Journal of the Royal Statistical Society, Series B, 59, 839-843.
11. Kim, S-K. and Huggins, R. (1998). "Diagnostics for Autocorrelated Regression Models." Australian & New Zealand Journal of Statistics, 40, 65-71.
12. Lawrance, A. J. (1991). "Local and Deletion Influence." In Directions in Robust Statistics and Diagnostics (W. Stahel and S. Weisberg, Eds.), Berlin: Springer, Volume 1, 141-157.
13. Lawrance, A. J. (1995). "Deletion Influence and Masking in Regression." Journal of the Royal Statistical Society, Series B, 57, 181-189.
14. Poon, W-Y. and Poon, Y.S. (1999). "Conformal Normal Curvature and Assessment of Local Influence." Journal of the Royal Statistical Society, Series B, 61, 51-61.
15. Schall, R. and Dunne, T. T. (1992), "A Note on the Relationship Between Parameter Collinearity and Local Influence." Biometrika, 79, 399-404.
16. Thomas, W. and Cook, R. D. (1989). "Assessing Influence on Regression Coefficients in Generalized Linear Models. Biometrika, 76, 741-749.
17. Welsch, R. E. (1982). "Influence Functions and Regression Diagnostics." In Modern Data Analysis (R. L. Launer and A. F. Siegel, Eds.), Academic Press, 149-169.
18. Welsch, R.E. and Ku, E. (1977). "Linear Regression Diagnostics." Sloan School of Management Working Paper, Cambridge; MIT, 923-977.