Assessing Local Influence in Measurement Error Models

Biometrical Journal

Volumn 38, Issue 7, 1996, Pages 829-841

  Lee, Andy H ^a   Zhao, Yuejen ^a  

^a CHARLES DARWIN UNIVERSITY   (Australia)

Author keywords

Diagnostics; Errors in variables; Influential observations

Indexed keywords

COVARIATES; DIAGNOSTIC; DISPLACEMENT FUNCTION; ERROR-IN-VARIABLE; GENERALIZED LINEAR MODEL; INFLUENTIAL OBSERVATIONS; LOCAL INFLUENCE; MEASUREMENT ERROR MODELS; MODEL ASSUMPTIONS; PARAMETERS ESTIMATES;

MEASUREMENT ERRORS;

EID: 0030298704     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.4710380709     Document Type: Article

References (13)

1. CHATTERJEE, S. and HADI, A. S., 1988: Sensitivity Analysis in Linear Regression. Wiley, New York.
2. COOK, R. D., 1986: Assessment of local influence (with discussion). Journal of the Royal Statistical Society B 48, 133-169.
3. FULLER, W. A., 1987: Measurement Error Models. Wiley, New York.
4. KELLY, G. E., 1984: The influence function in the errors in variables problem. Annals of Statistics 12, 87-100.
5. LAWRANCE, A. J., 1991: Local and deletion influence. In: W. STAHEL and S. WEISBERG (eds.), Directions in Robust Statistics and Diagnostics, Part I, 141-157. Springer-Verlag, New York.
6. NAKAMURA, T., 1990: Corrected score function for errors in variables models: methodology and application to generalized linear models. Biometrika 77, 127-137.
7. STEFFANSKI, L. A., 1985: The effects of measurement error on parameter estimation. Biometrika 72, 583-592.
8. STEFANSKI, L. A., 1989: Correcting data for measurement error in generalized linear models. Communications in Statistics - Theory and Methods 18, 1715-1733.
9. THOMAS, W., 1993: An exploratory diagnostic for errors-in-variables modeling in generalized linear models. Research Report 93-008 (School of Public Health, University of Minnesota).
10. THOMAS, W. and COOK, R. D., 1989: Assessing influence on regression coefficients in generalized linear models. Biometrika 76, 741-749.
11. WELLMAN, J. M. and GUNST, R. F., 1991: Influence diagnostics for linear measurement error models. Biometrika 78, 373-380.
12. ZHAO, Y. J. and LEE, A. H., 1995: Assessment of influence in nonlinear measurement error models. Journal of Applied Statistics 22, 215-225.
13. ZHAO, Y. J., LEE, A. H., and HUI, Y. V., 1994: Influence diagnostics for generalized linear measurement error models. Biometrics 50, 1117-1128.