Bias correction methods for misclassified covariates in the Cox model: Comparison of five correction methods by simulation and data analysis

Journal of Statistical Theory and Practice

Volumn 7, Issue 2, 2013, Pages 381-400

  Bang, Heejung ^a   Chiu, Ya Lin ^b   Kaufman, Jay S ^c   Patel, Mehul D ^d   Heiss, Gerardo ^d   Rose, Kathryn M ^e  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b WEILL CORNELL MEDICAL COLLEGE   (United States)

^c MCGILL UNIVERSITY   (Canada)

^d IL   (United States)

^e SRA International Inc   (United States)

Author keywords

ARIC; Childhood SES; Cox proportional hazards regression; Measurement error; Misclassification; Recalled error

Indexed keywords

EID: 84876138375     PISSN: 15598608     EISSN: 15598616     Source Type: Journal    
DOI: 10.1080/15598608.2013.772830     Document Type: Article

References (50)

1. Akazawa, K., N. Kinukawa, and T. Nakamura. 1998. A note on the corrected score function corrected for misclassification. J. Jpn. Stat. Soc. 28, 115-123.
2. ARIC. 1989. The ARIC Investigators. The Atherosclerosis Risk in Community (ARIC) study: Design and objectives. Am. J. Epidemiol. 129, 687-702.
3. Armstrong, B. 1985. Measurement error in generalized linear models. Commu. Stat. Seri. B 14, 529-544.
4. Bang, H. 2005. Medical cost analysis: Application to colorectal cancer data from the SEER Medicare database. Contemp. Clin. Trials, 26, 586-597.
5. Bang, H. 2010. Introduction to observational studies, In Analysis of observational health-care data using SAS, ed. D. Faries, A. Leon, J. Haro, and R. Obenchain, 3-19 Cary, NC, SAS Press Series.
6. Burris, J., T. Johnson, and D. O'Rourke. 2003. Validating self-reports of socially desirable behaviors. American Statistical Association Proceedings, American Association for Public Opinion Research-Section on Survey Research Methods, 32-36.
7. Carroll, R. 2005. Measurement error in epidemiologic studies. In Encyclopedia of biostatistics. New York, NY, Wiley.
8. Carroll, R., D. Ruppert, and L. Stefanski. 1995. Measurement error in nonlinear models. London, UK, Chapman & Hall.
9. Carroll, R., and L. Stefanski. 1990. Approximate quasilikelihood estimation in models with surrogate predictors. J. Am. Stat. Assoc., 85, 652-663.
10. Cole, S., H. Chu, and S. Greenland. 2006. Multiple-imputation for measurement-error correction. Int. J. Epidemiol. 35, 1074-1081.
11. Cook, J., and L. Stefanski. 1995. A simulation extrapolation method for parametric measurement error models. J. Am. Stat. Assoc., 89, 1314-1328.
12. Cox, D. 1972. Regression models and life-tables (with discussion). J. R. Stat. Soc. Ser. B, 34, 187-220.
13. Dalen, I., J. Buonaccorsi, P. Laake, A. Hjartaker, and M. Thoresen. 2006. Regression analysis with categorized regression calibrated exposure: some interesting findings. Emerging Themes Epidemiol., 3, 6.
14. Freedman, L. S., D. Midthune, R. J. Carroll, and V. Kipnis. 2008. A comparison of regression calibration, moment reconstruction and imputation for adjusting for covariate measurement error. Stat. Med. 27, 5195-5216.
15. Fuller, W. 1987. Measurement error models. New York, NY, John Wiley & Sons.
16. Galobardes, B., J. Lynch, and G. Smith. 2004. Childhood socioeconomic circumstances and causespecific mortality in adulthood: Systematic review and interpretation. Epidemiol. Rev., 26, 7-21.
17. Gleser, L. J. 1990. Improvements of the naive approach to estimation in nonlinear errors-in-variables regression models. In Statistical analysis of measurement error models and applications, ed. P. Brown, and W. Fuller, 99-114. Providence, RI, American Mathematics Society.
18. Greenland, S. 1980. The effect of misclassification in the presence of covariates. Am. J. Epidemiol., 112, 564-569.
19. Greenland, S., and P. Gustafson. 2006. Accounting for independent nondifferential misclassification does not increase certainty that an observed association is in the correct direction. Am. J. Epidemiol. 164, 63-68.
20. Greenland, S., and J. M. Robins. 1985. Confounding and misclassification. Am. J. Epidemiol., 122, 495-506.
21. Hernandez-Diaz, S., E. Schisterman, and M. Hernan. 2006. The birth weight "paradox" uncovered? Am. J. Epidemiol., 164, 1115-1120.
22. Huang, Y., and C. Wang. 2001. Consistent function methods for logistic regression with errors in covariates. J. Am. Stat. Assoc., 95, 1209-1219.
23. Jurek, A., G. Maldonado, S. Greenland, and T. Church. 2006. Exposure-measurement error is frequently ignored when interpreting epidemiologic study results. Eur. J. Epidemiol., 21, 871-876.
24. Kalbfleisch, J., and R. Prentice. 2002. The statistical analysis of failure time data. New York, NY, Wiley.
25. Kauhanen, L., H.-M. Lakka, J. Lynch, and J. Kauhanen. 2006. Social disadvantages in childhood and risk of all-cause death and cardiovascular disease in later life: A comparison of historical and retrospective childhood information. Int. J. Epidemiol., 35, 962-968.
26. Kuchenhoff, H., W. Lederer, and E. Lesaffre. 2007. Asymptotic variance estimation for the misclassification SIMEX. Comput. Stat. Data Analy., 51, 6197-6211.
27. Kuchenhoff, H., S. Mwalili, and E. Lesaffre. 2006. A general method for dealing with misclassification in regression: The misclassification SIMEX. Biometrics, 62, 85-96.
28. Lederer, W., and H. Kuchenhoff. 2006. A short introduction to the SIMEX and MCSIMEX. R News, 6, 26-31.
29. Liao, X., D. M. Zucker, Y. Li, and D. Spiegelman, 2011. Survival analysis with error-prone timevarying covariates: A risk set calibration approach. Biometrics, 67, 50-58.
30. Lindsey, J. 1995. Fitting parametric counting processes by using log-linear models. App. Stat. 44, 201-212.
31. Little, R., and D. Rubin. 2002. Statistical analysis with missing data. New York, NY, JohnWiley & Sons.
32. Loomis, D., D. B. Richardson, and L. Elliott. 2005. Poisson regression analysis of ungrouped data. Occu. Environ. Med. 62, 325-329.
33. Messer, K., and L. Natarajan, 2008. Maximum likelihood, multiple imputation and regression calibration for measurement error adjustment. Stat. Med., 27, 6332-6350.
34. Nakamura, T. 1990. Corrected score function of errors-in-variables models: Methodology and application to generalized linear models. Biometrika, 77, 127-137.
35. Oakes, J., and J. Kaufman. 2006. Methods in social epidemiology. San Francisco, CA, Jossey-Bass.
36. Patel, M. D., K.M. Rose, C. R. Owens, H. Bang, and J. S. Kaufman. 2012. Performance of automated and manual coding systems for occupational data: A case study of historical records. Am. J. Ind. Med. 55, 228-231.
37. Prentice, R. 1982. Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika, 69, 331-342.
38. Qi, L., Y.-F. Wang, and Y. He. 2010. A comparison of multiple imputation and fully augmented weighted estimators for Cox regression with missing covariates. Stat. Med., 29, 2592-2604.
39. Rose, K., J. S. Perhac, H. Bang, and G. Heiss, 2008. Historical records as a source of information for childhood socioeconomic status: results from a pilot study of decedents. Ann. Epidemiol., 18, 357-363.
40. Rose, K. M., J. L. Wood, E. A. Whitsel, R. Pollitt, A. V. Diez Roux, D. K. Yoon, S. Knowles, and G. Heiss. 2004. Linking historical addresses with census tract data from the 1960-80 decennial censuses: Experiences from the life course SES, social context and cardiovascular disease study. Int. J. Health Geogr., 17, 27.
41. Rosner, B., W. C. Willett, and D. Spiegelman. 1989. Correction of logistic regression relative risk estimates and confidence intervals for systematic within-person measurement error (with Discussion). Stat. Med., 8, 1051-1069.
42. Rubin, D. 1976. Inference and missing data. Biometrika, 63, 581-692.
43. Seppa, K., and T. Hakulinen. 2009. Mean and median survival times of cancer patients should be corrected for informative censoring. J. Clin. Epidemiol., 62, 1095-1102.
44. Slate, E. H., and D. Bandyopadhyay, 2009. An investigation of the MC-SIMEX method with application to measurement error in periodontal outcomes. Stat. Med., 28, 3523-3538.
45. Spiegelman, D. 1997. Regression calibration method for correcting measurement error bias in nutrition epidemiology. Am. J. Clin. Nutri., 65, 1179S-1186S.
46. Spiegelman, D., R. J. Carroll, and V. Kipnis, 2001. Efficient regression calibration for logistic regression in main study/internal validation study designs with an imperfect reference instrument. Stat. Med., 20, 139-160.
47. Van Buuren, S., H. Boshuizen, and D. Knook, 1999. Multiple imputation of missing blood pressure covariates in survival analysis. Stat. Med., 18, 681-694.
48. White, I. 2006. Commentary: Dealing with measurement error: Multiple imputation or regression calibration? Int. J. Epidemiol., 35, 1081-1082.
49. Yanez, N. D., R. Kronmal, L. Shemanski, and B. Psaty. 2002. A regression model for longitudinal change in the presence of measurement error. Ann. Epidemiol., 12, 34-38.
50. Zucker, D. and D. Spiegelman. 2008. Corrected score estimation in the proportional hazards model with misclassified discrete covariates. Stat. Med., 27, 1911-1933.