Estimation and inference for the causal effect of receiving treatment on a multinomial outcome: an alternative approach
- PMID: 20560933
- PMCID: PMC3030650
- DOI: 10.1111/j.1541-0420.2010.01451_1.x
Estimation and inference for the causal effect of receiving treatment on a multinomial outcome: an alternative approach
Abstract
Recently, Cheng (2009, Biometrics 65, 96-103) proposed a model for the causal effect of receiving treatment when there is all-or-none compliance in one randomization group, with maximum likelihood estimation based on convex programming. We discuss an alternative approach that involves a model for all-or-none compliance in two randomization groups and estimation via a perfect fit or an expectation-maximization algorithm for count data. We believe this approach is easier to implement, which would facilitate the reproduction of calculations.
© 2010, The International Biometric Society No claim to original US government works.
Similar articles
-
Estimation and inference for the causal effect of receiving treatment on a multinomial outcome.Biometrics. 2009 Mar;65(1):96-103. doi: 10.1111/j.1541-0420.2008.01020.x. Epub 2008 Mar 29. Biometrics. 2009. PMID: 18373714
-
Likelihood-based inference for bounds of causal parameters.Stat Med. 2018 Dec 30;37(30):4695-4706. doi: 10.1002/sim.7949. Epub 2018 Aug 28. Stat Med. 2018. PMID: 30155912
-
Semiparametric Estimation of Relative Causal Effects in Randomized Controlled Trials With Noncompliance.Stat Med. 2025 Jun;44(13-14):e70153. doi: 10.1002/sim.70153. Stat Med. 2025. PMID: 40481721
-
Randomization, statistics, and causal inference.Epidemiology. 1990 Nov;1(6):421-9. doi: 10.1097/00001648-199011000-00003. Epidemiology. 1990. PMID: 2090279 Review.
-
Tom Ten Have's contributions to causal inference and biostatistics: review and future research directions.Stat Med. 2014 Sep 10;33(20):3421-33. doi: 10.1002/sim.5708. Epub 2012 Dec 17. Stat Med. 2014. PMID: 23255088 Review.
Cited by
-
A comparison of three methods of Mendelian randomization when the genetic instrument, the risk factor and the outcome are all binary.PLoS One. 2012;7(5):e35951. doi: 10.1371/journal.pone.0035951. Epub 2012 May 9. PLoS One. 2012. PMID: 22590516 Free PMC article.
-
A Bayesian Hierarchical CACE Model Accounting for Incomplete Noncompliance With Application to a Meta-analysis of Epidural Analgesia on Cesarean Section.J Am Stat Assoc. 2021;116(536):1700-1712. doi: 10.1080/01621459.2021.1900859. Epub 2021 Apr 27. J Am Stat Assoc. 2021. PMID: 35261417 Free PMC article.
-
Clarifying the role of principal stratification in the paired availability design.Int J Biostat. 2011;7(1):25. doi: 10.2202/1557-4679.1338. Epub 2011 May 20. Int J Biostat. 2011. PMID: 21686085 Free PMC article.
-
Predicting treatment effect from surrogate endpoints and historical trials: an extrapolation involving probabilities of a binary outcome or survival to a specific time.Biometrics. 2012 Mar;68(1):248-57. doi: 10.1111/j.1541-0420.2011.01646.x. Epub 2011 Aug 13. Biometrics. 2012. PMID: 21838732 Free PMC article.
-
Semiparametric transformation models for causal inference in time to event studies with all-or-nothing compliance.J R Stat Soc Series B Stat Methodol. 2015 Mar 1;77(2):397-415. doi: 10.1111/rssb.12072. J R Stat Soc Series B Stat Methodol. 2015. PMID: 25870521 Free PMC article.
References
-
- Angrist JD, Imbens GW, Rubin DB. Identification of causal effects using instrumental variables. Journal of the American Statistical Association. 1996;91:44–455.
-
- Baker SG. The Multinomial-Poisson transformation. The Statistician. 1994;43:495–504.
-
- Baker SG. Compliance, all-or-none. In: Kotz S, Read CR, Banks DL DL, editors. The Encyclopedia of Statistical Science, Update Volume. New York: John Wiley and Sons, Inc.; 1997. pp. 134–138.
-
- Baker SG, Kramer BS. Simple maximum likelihood estimates of efficacy in randomized trials and before-and-after studies, with implications for meta-analysis. Statistical Methods in Medical Research. 2005;14:1–19. correction 14, 349. - PubMed
-
- Baker SG, Lindeman KS. The paired availability design: a proposal for evaluating epidural analgesia during labor. Statistics in Medicine. 1994;13:2269–2278. correction 14, 1841. - PubMed
MeSH terms
Substances
Grants and funding
LinkOut - more resources
Full Text Sources