Propensity score estimation in the presence of length-biased sampling: A non-parametric adjustment approach

Stat

Volumn 3, Issue 1, 2014, Pages 83-94

  Ertefaie, Ashkan ^a   Asgharian, Masoud ^b   Stephens, David ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Causal inference; Length biased sampling; Propensity score; Survival curve

Indexed keywords

EID: 84928914864     PISSN: None     EISSN: 20491573     Source Type: Journal    
DOI: 10.1002/sta4.46     Document Type: Article

References (34)

1. Asgharian, M, M'Lan, CE & Wolfson, DB (2002), 'Length-biased sampling with right censoring', Journal of the American Statistical Association, 97(457), 201-209.
2. Asgharian, M & Wolfson, DB (2005), 'Asymptotic behavior of the unconditional NPMLE of the length-biased survivor function from right censored prevalent cohort data', The Annals of Statistics, 33(5), 2109-2131.
3. Asgharian, M, Wolfson, DB & Zhang, X (2006), 'Checking stationarity of the incidence rate using prevalent cohort survival data', Statistics in Medicine, 25(10), 1751-1767.
4. Bergeron, PJ, Asgharian, M & Wolfson, DB (2008), 'Covariate bias induced by length-biased sampling of failure times', Journal of the American Statistical Association, 103(482), 737-742.
5. Cheng, Y & Wang, M (2012), 'Estimating propensity scores and causal survival functions using prevalent survival data', Biometrics, 68, 707-716.
6. Cochran, W & Rubin, D (1973), 'Controlling bias in observational studies: a review', Sankhyā: The Indian Journal of Statistics, Series A, 35, 417-446.
7. Cole, SR & Hernán, MA (2004), 'Adjusted survival curves with inverse probability weights', Computer Methods and Programs in Biomedicine, 75(1), 45-49.
8. Cox, DR (1969), 'Some sampling problems in technology', in New Developments in Survey Sampling, Wiley Interscience, New York, 506-527.
9. Cox, DR & Lewis, P (1966), The Statistical Analysis of Series of Events, John Wiley and Sons, London.
10. DeUña-álvarez, J (2004), 'Nonparametric estimation under length-biased sampling and type I censoring: a moment based approach', Annals of the Institute of Statistical Mathematics, 56(4), 667-681.
11. Fisher, RA (1934), 'The effect of methods of ascertainment upon the estimation of frequencies', Annals of Human Genetics, 6(1), 13-25.
12. Hernán, M, Brumback, B & Robins, J (2000), 'Marginal structural models to estimate the causal effect of zidovudine on the survival of HIV-positive men', Epidemiology, 11(5), 561-570.
13. Huang, CY & Qin, J (2011), 'Nonparametric estimation for length-biased and right-censored data', Biometrika, 98(1), 177-186.
14. Luo, X & Tsai, W (2009), 'Nonparametric estimation for right-censored length-biased data: a pseudo-partial likelihood approach', Biometrika, 96(4), 873-886.
15. Neyman, J (1955), 'Statistics-servant of all science', Science, 122(3166), 401-406.
16. Neyman, J (1990), 'On the application of probability theory to agricultural experiments. Essay on principles. Section 9. Translation of excerpts by D. Dabrowska and T. Speed', Statistical Science, 6, 462-47.
17. Nieto, FJ & Coresh, J (1996), 'Adjusting survival curves for confounders: a review and a new method', American Journal of Epidemiology, 143(10), 1059-1068.
18. Ning, J, Qin, J & Shen, Y (2010), 'Non-parametric tests for right-censored data with biased sampling', Journal of the Royal Statistical Society: Series B (Statistical Methodology), 72(5), 609-630.
19. Pepe, MS & Fleming, TR (1991), 'Weighted Kaplan-Meier statistics: large sample and optimality considerations', Journal of the Royal Statistical Society. Series B (Methodological), 53(2), 341-352.
20. Qin, J & Shen, Y (2010), 'Statistical methods for analyzing right-censored length-biased data under Cox model', Biometrics, 66(2), 382-392.
21. Robins, J (1997), 'Causal inference from complex longitudinal data', Latent Variable Modeling and Applications to Causality, 120, 69-117.
22. Robins, J, Hernán, M & Brumback, B (2000), 'Marginal structural models and causal inference in epidemiology', Epidemiology, 11(5), 550-560.
23. Robins, JM (1994), 'Correcting for non-compliance in randomized trials using structural nested mean models', Communications in Statistics-Theory and Methods, 23(8), 2379-2412.
24. Rosenbaum, PR & Rubin, DB (1983), 'The central role of the propensity score in observational studies for causal effects', Biometrika, 70(1), 41-55.
25. Rotnitzky, A & Robins, JM (2005), 'Inverse probability weighting in survival analysis', in Encyclopedia of Biostatistics, 2nd edn, Vol.4, Wiley, New York, 2619-2625.
26. Rubin, D (1973), 'The use of matched sampling and regression adjustment to remove bias in observational studies', Biometrics, 29, 185-203.
27. Rubin, DB (1978), 'Bayesian inference for causal effects: the role of randomization', The Annals of Statistics, 6(1), 34-58.
28. Shen, Y, Ning, J & Qin, J (2009), 'Analyzing length-biased data with semiparametric transformation and accelerated failure time models', Journal of the American Statistical Association, 104(487), 1192-1202.
29. Wang, MC (1991), 'Nonparametric estimation from cross-sectional survival data', Journal of the American Statistical Association, 86(413), 130-143.
30. Wang, MC, Jewell, NP & Tsai, WY (1986), 'Asymptotic properties of the product limit estimate under random truncation', The Annals of Statistics, 14(4), 1597-1605.
31. Wicksell, SD (1925), 'The corpuscle problem: a mathematical study of a biometric problem', Biometrika, 17(1/2), 84-99.
32. Wolfson, C, Wolfson, DB, Asgharian, M, M'Lan, CE, Østbye, T, Rockwood, K & Hogan, DB (2001), 'A reevaluation of the duration of survival after the onset of dementia', New England Journal of Medicine, 344(15), 1111-1116.
33. Xie, J & Liu, C (2005), 'Adjusted Kaplan-Meier estimator and log-rank test with inverse probability of treatment weighting for survival data', Statistics in Medicine, 24(20), 3089-3110.
34. Zelen, M & Feinlein, M (1969), 'On the theory of screening for chronic diseases', Biometrika, 56(3), 601-614.