Estimating optimal dynamic regimes: Correcting bias under the null

Scandinavian Journal of Statistics

Volumn 37, Issue 1, 2010, Pages 126-146

  Moodie, Erica E M ^a   Richardson, Thomas S ^b  

^a MCGILL UNIVERSITY   (Canada)

^b UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Adaptive treatment strategies; Asymptotic bias; Dynamic treatment regimes; G estimation; Optimal structural nested mean models; Pretest estimators

Indexed keywords

EID: 77949537979     PISSN: 03036898     EISSN: 14679469     Source Type: Journal    
DOI: 10.1111/j.1467-9469.2009.00661.x     Document Type: Article

References (16)

1. Benjamini Y, Hochberg Y. Controlling the false discovery rate: a practical and powerful approach to multiple testing. J. Roy. Statist. Soc. Ser. B Statist. Methodol. 1995, 57:289-300.
2. Benjamini Y, Yekutieli D. The control of the false discovery rate in multiple testing under dependency. Ann. Statist. 2001, 29:1165-1188.
3. Collins L M, Murphy S A, Strecher V. The Multiphase Optimization Strategy (MOST) and the Sequential Multiple Assignment Randomized Trial (SMART): new methods for more potent e-health interventions. Am. J. Preventative Med 2007, 32(5S):S112-S118.
4. Giles D E A, Lieberman O, Giles J A. The optimal size of a preliminary test of linear restrictions in a misspecified regression model. J. Amer. Statist. Assoc. 1992, 87:1153-1157.
5. Kabaila P, Leeb H. On the large-sample minimal coverage probability of confidence intervals after model selection. J. Amer. Statist. Assoc. 2006, 101:619-629.
6. Kramer M S, Guo T, Platt R W, Vanilovich I, Sevkovskaya Z, Dzikovich I, Michaelsen K F, Dewey K. Feeding effects on growth during infancy. J. Pediatr. 2004, 145:600-605.
7. Moodie E E M, Richardson T S, Stephens D A. Demystifying optimal dynamic treatment regimes. Biometrics 2007, 63:447-455.
8. Murphy S A. Optimal dynamic treatment regimes. J. Roy. Statist. Soc. Ser. B Statist. Methodol. 2003, 65:331-366.
9. Murphy S A. An experimental design for the development of adaptive treatment strategies. Stat. Med. 2005, 24:1455-1481.
10. Oetting A I, Levy J A, Weiss R D, Murphy S A. Statistical methodology for a SMART design in the development of adaptive treatment strategies. Causality and psychopathology: finding the determinants of disorders and their cures 2008, Shrout P, In, ed, American Psychiatric Publishing, Inc., Arlington, VA
11. Robins J M. Correcting for non-compliance in randomized trials using structural nested mean models. Comm. Statist. Theory Methods 1994, 23:2379-2412.
12. Robins J M. Causal inference from complex longitudinal data. Latent variable modeling and applications to causality 1997, 69-117. Berkane M. In, ed, Springer-Verlag, New York
13. Robins J M. Optimal structural nested models for optimal sequential decisions. Proceedings of the Second Seattle Symposium on Biostatistics 2004, 189-326. Lin D YHeagerty P J. In, eds, Springer-Verlag, New York
14. Robins J M, Orellana L, Rotnitzky A. Estimation and extrapolation of optimal treatment and testing strategies. Stat. Med. 2008, 27:4678-4721.
15. Rubin D B. Bayesian inference for causal effects: the role of randomization. Ann. Statist. 1978, 6:34-58.
16. van der Vaart A. Asymptotic statistics 1998, Cambridge University Press, Cambridge