ESTIMATING THE DISTRIBUTION OF TIMES FROM HIV SEROCONVERSION TO AIDS USING MULTIPLE IMPUTATION

被引:85
作者
TAYLOR, JMG
MUNOZ, A
BASS, SM
SAAH, AJ
CHMIEL, JS
KINGSLEY, LA
机构
[1] Department of Biostatistics, UCLA School of Public Health and Jonsson Comprehensive Cancer Center, Los Angeles, California
[2] Departments of Epidemiology and Biostatistics, Johns Hopkins School of Public Health, Baltimore, Maryland
[3] Cancer Center Biometry Section, Northwestern University Medical School, Chicago, Illinois
[4] Departments of Infectious Diseases and Microbiology/Epidemiology, Graduate School of Public Health, University of Pittsburgh, Pittsburgh, Pennsylvania
关键词
D O I
10.1002/sim.4780090504
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Multiple imputation is a model based technique for handling missing data problems. In this application we use the technique to estimate the distribution of times from HIV seroconversion to AIDS diagnosis with data from a cohort study of 4954 homosexual men with 4 years of follow‐up. In this example the missing data are the dates of diagnosis with AIDS. The imputation procedure is performed in two stages. In the first stage, we estimate the residual AIDS‐free time distribution as a function of covariates measured on the study participants with data provided by the participants who were seropositive at study entry, Specifically, we assume the residual AIDS‐free times follow a log‐normal regression model that depends on the covariates measured at enrolment on the seropositive participants. In the second stage we impute the date of AIDS diagnosis for the participants who seroconverted during the course of the study and are AIDS‐free with use of the log‐normal distribution estimated in the first stage and the covariates from each seroconverter's latest visit. The estimated proportions developing AIDS within 4 and within 7 years of seroconversion are 15 and 36 per cent respectively, with associated 95 per cent confidence intervals of (10, 21) and (26,47) per cent. We discuss the Bayesian foundations of the multiple imputation technique and the statistical and scientific assumptions. Copyright © 1990 John Wiley & Sons, Ltd.
引用
收藏
页码:505 / 514
页数:10
相关论文
共 21 条
[1]  
Taylor J.M.G., Schwartz K., Detels R., The time from infection with human immunodeficiency virus (HIV) to the onset of AIDS, Journal of Infectious Disease, 154, pp. 694-697, (1986)
[2]  
Eyster M.E., Gail M.H., Ballard J.O., Al-Mandhing H., Goedert J.J., Natural history of human immunodeficiency virus in hemophiliacs: effect of T‐cell subsets, platelet counts and age, Annals of Internal Medicine, 107, pp. 1-6, (1987)
[3]  
Curran J.W., Jaffe H.W., Hardy A.M., Morgan W.M., Selik R.M., Dondero T.J., Epidemiology of HIV infection and AIDS in the United States, Science, 239, pp. 610-616, (1988)
[4]  
Giesecke J., Scalia-Tamber G., Berglund O., Berntorp E., Schulman S., Stigendal L., Incidence of symptoms and AIDS in 146 Swedish haemophiliacs and blood transfusion recipients infected with human immunodeficiency virus, British Medical Journal, 297, pp. 99-102, (1988)
[5]  
Brookmeyer R., Goedert J.J., Censoring in an epidemic with application to hemophilia associated AIDS, Biometrics, 45, pp. 325-335, (1989)
[6]  
Munoz A., Wang M.-C., Bass S., Taylor J.M.G., Kingsley L.A., Chmiel J.S., Polk B.F., AIDS‐free time after HIV‐1 seroconversion homosexual men, American Journal of Epidemiology, 130, pp. 530-539, (1989)
[7]  
Bacchetti P., Moss A.R., Incubation period of AIDS in San Francisco, Nature, 338, pp. 251-253, (1989)
[8]  
Brookmeyer R., Gail M.H., A method for projecting the AIDS epidemic, Lancet, 2, (1988)
[9]  
Taylor J.M.G., Models for the HIV infection and AIDS epidemic in the United States, Statistics in Medicine, 8, pp. 45-58, (1989)
[10]  
Lui K.J., Lawrence D.N., Morgan W.M., Peterman T.A., Haverkos H.W., Bregman D.J., A model‐based approach for estimating the mean incubation period of transfusion associated acquired immunodeficiency syndrome, Proceedings of the National Academy of Sciences, 83, pp. 3051-3055, (1986)