Abstract
This paper investigates the effect of one dose of vitamin A on subsequent 4 month mortality in children under 6 months of age in a randomized, double-blind placebo-controlled community trial in Nepal. An earlier published intention-to-treat analysis showed no benefit, but ignored the information on actual receipt of treatment. Structural failure time models (Robins and Tsiatis, '91) use randomization based inference and incorporate compliance information which is possibly selective. The data presented here offer some new challenges for this approach: ward-based randomization induces correlation between survival outcomes; and the actual receipt of vitamin A dose is not always recorded. To tackle the problem of the clustered survival data we consider a robust version of the structural parameter vector estimator. A sensitivity analysis captures boundaries for the estimated structural parameters reflecting a range of potential values of children whose true receipt of treatment is unknown. The analysis suggests that the effect of vitamin A was beneficial in the beginning of the trial but towards the end of the trial there was a reversal of this effect.
Similar content being viewed by others
References
P. K. Andersen and R. D. Gill, “Cox's regression model for counting processes: a large sample study,” The Annals of Statistics vol. 10 pp. 1100-1120, 1982.
G. H. Beaton, R. Martonell, and K. J. Aronson, “Effectiveness of vitamin A supplementation in the control of young child morbidity in developing countries,” In ACC/SCN of Art Series Nutrition Policy Discussion Paper, No 13 World Health Organization: Geneva, Switzerland, 1993.
W.W. Fawzie, T. C. Chalmers, M. G. Herrera, and F. Mosteller, “Vitamin A supplementation and child mortality: a meta-analysis,” Journal of American Medical Association vol. 269 pp. 898-903, 1993.
G. W. Imbens and D. B. Rubin, “Bayesian inference for causal effects in randomized experiments with noncompliance,” Annals of Statistics vol. 25 pp. 305-327, 1997.
P. A. Korhonen and J. Palmgren, “Randomization based inference for treatment modifying factors in randomized trials with noncompliance,” Rolf Nevanlinna Institute Research Reports A21, 1998.
E. W. Lee, L. J. Wei, and D. A. Amato, “Cox-type regression analysis for large numbers of small groups of correlated failure time observations,” in Survival Analysis: State of the Art pp. 237-247, Kluwer Academic Publishers: Netherlands, 1992.
E. W. Lee, L. J. Wei, and Z. Ying, “Linear regression analysis for highly stratified failure time data,” Journal of the American Statistical Association vol. 88 pp. 557-565, 1993.
J. M. Robins, “Estimation of the time-dependent accelerated failure time model in the presence of confounding factors,” Biometrika vol. 79 pp. 321-334, 1992.
J. M. Robins and S. Greenland, “Adjusting for differential rates of prophylaxis therapy for PCP in high-versus low-dose AZT treatment arms in an AIDS randomized trial,” Journal of the American Statistical Association vol. 89 pp. 737-749, 1994.
J. M. Robins and A. A. Tsiatis, “Correcting for non-compliance in randomized trials using rank preserving structural failure time models,” Comm Statist A vol. 20 no. 8, pp. 2609-2631, 1991.
L. J. Wei, D. Y. Lin, and L. Weissfeld, “Regression analysis of multivariate incomplete failure time data by modeling marginal distributions,” Journal of the American Statistical Association vol. 84 pp. 1065-1073, 1989.
K. P. West, J. Katz, S. R. Sherestha, S. C. LeClerq, S. K. Khatry, E. K. Pradhan, R. Adhikari, L. S.-F. Wu, R. P. Pokhrel, and A. Sommer, “Mortality of infants under 6 mo of age supplemented with vitamin A: a randomized, double-masked trial in Nepal,” American Journal of Clinical Nutrition vol. 62 pp. 143-148, 1995.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Korhonen, P., Loeys, T., Goetghebeur, E. et al. Vitamin A and Infant Mortality: Beyond Intention-to-Treat in a Randomized Trial. Lifetime Data Anal 6, 107–121 (2000). https://doi.org/10.1023/A:1009670105608
Issue Date:
DOI: https://doi.org/10.1023/A:1009670105608