Corrected score estimation in the proportional hazards model with misclassified discrete covariates

Statistics in Medicine

Volumn 27, Issue 11, 2008, Pages 1911-1933

  Zucker, David M ^a   Spiegelman, Donna ^b  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Errors in variables; Nonlinear models; Proportional hazards

Indexed keywords

ACETYLSALICYLIC ACID;

ANALYTICAL ERROR; ARTICLE; BODY MASS; CALCIUM INTAKE; CANCER RISK; CLASSIFICATION; COLORECTAL CANCER; CONTROLLED STUDY; DIETARY INTAKE; DRUG USE; EXTERNAL VALIDITY; FALSE NEGATIVE RESULT; FALSE POSITIVE RESULT; FEEDING BEHAVIOR; FREQUENCY ANALYSIS; HUMAN; INTERNAL VALIDITY; MAJOR CLINICAL STUDY; MATHEMATICAL COMPUTING; MAXIMUM LIKELIHOOD METHOD; NORMAL DISTRIBUTION; PROBABILITY; PROPORTIONAL HAZARDS MODEL; REGRESSION ANALYSIS; SCORING SYSTEM; SENSITIVITY AND SPECIFICITY; SIMULATION; TIME;

DATA INTERPRETATION, STATISTICAL; NONLINEAR DYNAMICS; PROPORTIONAL HAZARDS MODELS; RISK FACTORS; SURVIVAL ANALYSIS; VALIDATION STUDIES AS TOPIC;

EID: 42949151857     PISSN: 02776715     EISSN: 10970258     Source Type: Journal    
DOI: 10.1002/sim.3159     Document Type: Article

References (49)

1. Fuller WA. Measurement Error Models. Wiley: New York, 1987.
2. Carroll RJ, Ruppert D, Stefanski LA, Crainiceanu CM. Measurement Error in Nonlinear Models: A Modern Perspective (2nd edn). Chapman & Hall/CRC: Boca Raton, FL, London, 2006.
3. Prentice R. Covariate measurement errors and parameter estimation in a failure time regression model. Biometrika 1982; 69:331-342.
4. Cox DR. Regression models and life-tables (with Discussion). Journal of the Royal Statistical Society, Series B 1972; 34:187-220.
5. Bross IDJ. Misclassification in 2 × 2 tables. Biometrics 1954; 10:478-486.
6. Chen TT. A review of methods for misclassified categorical data in epidemiology. Statistics in Medicine 1989; 8:1095-1106.
7. Kuha J, Skinner C. Categorical data analysis and misclassification. In Survey Measurement and Process Quality, Lyberg L, Biemer P, Collins M, DeLeeuw E, Dippo C, Schwarz N, Trewin D (eds). Wiley: New York, 1997; 633-670.
8. Walter SD, Irwig LM. Estimation of test error rates, disease prevalence, and relative risk from misclassified data: a review. Journal of Clinical Epidemiology 1988; 41:923-937.
9. Kuha J, Skinner C, Palmgren J. Misclassification error. In Encyclopedia of Biostatistics, vol. 1 (1st edn), Armitage P, Colton T (eds). Wiley: New York, 1998; 2615-2621.
10. Marshall JR. Validation study methods for estimating exposure proportions and odds ratios with misclassified data. Journal of Clinical Epidemiology 1990; 43:941-947.
11. Morrissey MJ, Spiegelman D. Matrix methods for estimating odds ratios with misclassified exposure data: extensions and comparisons. Biometrics 1999; 55:338-344.
12. Espeland MA, Hui SL. A general approach to analyzing epidemiologic data that contain misclassification errors. Biometrics 1987; 43:1001-1012.
13. Spiegelman D, Rosner B, Logan R. Estimation and inference for logistic regression with covariate misclassification and measurement error in main study/validation study designs. Journal of the American Statistical Association 2000; 95:51-61.
14. Zhou H, Pepe M. Auxiliary covariate data in failure time regression. Biometrika 1995; 82:139-149.
15. Zhou H, Wang CY. Failure time regression with continuous covariates measured with error. Journal of the Royal Statistical Society, Series B 2000; 62:657-665.
16. Chen YH. Cox regression in cohort studies with validation sampling. Journal of the Royal Statistical Society, Series B 2002; 64:51-62.
17. Spiegelman D, McDermott A, Rosner B. The regression calibration method for correcting measurement error bias in nutritional epidemiology. American Journal of Clinical Nutrition 1997; 65(Suppl.):1179S-1186S.
18. Wang CY, Hsu L, Feng ZD, Prentice RL. Regression calibration in failure time regression. Biometrics 1997; 53:131-145.
19. Zucker DM, Spiegelman D. Inference for the proportional hazards model with misclassified discrete-valued covariates. Biometrics 2004; 60:324-334.
20. Zucker DM. A pseudo partial likelihood method for semi-parametric survival regression with covariate errors. Journal of the American Statistical Association 2005; 100:1264-1277.
21. Hu P, Tsiatis AA, Davidian M. Estimating the parameters in the Cox model when covariate variables are measured with error. Biometrics 1998; 54:1407-1419.
22. Küchenhoff H, Mwalili SM, Lesaffre E. A general method for dealing with misclassification in regression: the misclassification SIMEX. Biometrics 2006; 62:85-96.
23. Herring AH, Ibrahim JG. Likelihood-based methods for missing covariates in the Cox proportional hazards model. Journal of the American Statistical Association 2001; 96:292-302.
24. Nakamura T. Corrected score function of errors-in-variables models: methodology and application to generalized linear models. Biometrika 1990; 77:127-137.
25. Nakamura T. Proportional hazards model with covariates subject to measurement error. Biometrics 1992; 48: 829-838.
26. Akazawa K, Kinukawa N, Nakamura T. A note on the corrected score function corrected for misclassification. Journal of the Japan Statistical Society 1998; 28:115-123.
27. Wu K, Willett WC, Fuchs CS, Colditz GA, Giovannucci EL. Calcium intake and risk of colon cancer in women and men. Journal of the National Cancer Institute 2002; 94:437-446.
28. Kalbfleisch JD, Prentice RL. The Statistical Analysis of Failure Time Data (2nd edn). Wiley: New York, 2002.
29. Thomas DC. General relative-risk models for survival time and matched case-control analysis. Biometrics 1981; 37:673-686.
30. Breslow N, Day NE. Statistical Methods in Cancer Research, Volume 2: The Design and Analysis of Cohort Studies. Oxford University Press: Oxford, 1993.
31. Cox DR. Partial likelihood. Biometrika 1975; 62:269-276.
32. Andersen PK, Gill RD. Cox's regression model for counting processes: a large sample study. Annals of Statistics 1982; 10:1100-1120.
33. Huang Y, Wang CY. Cox regression with accurate covariates unascertainable: a nonparametric-correction approach. Journal of the American Statistical Association 2000; 95:1209-1219.
34. Spiegelman D, Carroll RJ, Kipnis V. Efficient regression calibration in main study/internal validation study designs with an imperfect reference instrument. Statistics in Medicine 2001; 20:139-160.
35. Hui SL, Zhou XH. Evaluation of diagnostic tests without gold standards. Statistical Methods in Medical Research 1998; 7:354-370.
36. Qu Y, Tan M, Kutner MH. Random effects models in latent class analysis for evaluating accuracy of diagnostic tests. Biometrics 1996; 52:797-810.
37. Torrance-Rynard VL, Walter SD. Effects of dependent errors in the assessment of diagnostic test performance. Statistics in Medicine 1997; 6:2157-2175.
38. Formann AK, Kohlmann T. Latent class analysis in medical research. Statistical Methods in Medical Research 1996; 5:179-211.
39. Albert PS, McShane LM, Shih JH, U.S. National Cancer Institute Bladder Tumor Marker Network. Latent class modeling approaches for assessing diagnostic error without a gold standard: with applications to p53 immunohistochemical assays in bladder tumors. Biometrics 2001; 57:610-619.
40. Armitage P, Doll R. Stochastic models for carcinogenesis. Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability. Volume 4: Contributions to Biology and Problems of Medicine. University of California Press: Berkeley, California, 1961; 19-38.
41. Willett WC. Nutritional Epidemiology (2nd edn). Oxford University Press: New York, 1998.
42. Delves LM, Mohamed JL. Computational Methods for Integral Equations. Cambridge University Press: Cambridge, 1985.
43. Stefanski L. Unbiased estimation of a nonlinear function of a normal mean with application to measurement-error models. Communications in Statistics, Theory and Methods 1989; 18:4335-4358.
44. Cochran WG. The effectiveness of adjustment by subclassification in removing bias in observational studies. Biometrics 1968; 24:295-313.
45. Huang Y, Wang CY. Consistent function methods for logistic regression with errors in covariates. Journal of the American Statistical Association 2001; 95:1209-1219.
46. Kong FH, Gu M. Consistent estimation in Cox's proportional hazards model with covariate measurement errors. Statistica Sinica 1999; 9:953-969.
47. Hu C, Lin DY. Cox regression with covariate measurement error. Scandinavian Journal of Statistics 2002; 29:637-655.
48. Lin DY, Wei LJ. The robust inference for the Cox proportional hazards model. Journal of the American Statistical Association 1989; 84:1074-1078.
49. Liang KY, Zeger S. Longitudinal data analysis using generalized linear models. Biometrika 1986; 73:13-22.