Hierarchical Bayes models for the progression of HIV infection using longitudinal CD4 T-cell numbers

Journal of the American Statistical Association

Volumn 87, Issue 419, 1992, Pages 615-626

  Lange, Nicholas ^a   Carlin, Bradley P ^b   Gelfand, Alan E ^c  

^a BROWN UNIVERSITY   (United States)

^b UNIVERSITY OF MINNESOTA   (United States)

^c UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

AIDS; Gibbs sampler; Growth curves; Inverse prediction; Random change points

Indexed keywords

EID: 84950459427     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1992.10475258     Document Type: Article

References (49)

1. Bacchetti, P. (1990), “Estimating the Incubation Period of AIDS by Comparing Population Infection and Diagnosis Patterns,” Journal of the American Statistical Association, 85, 1002–1008.
2. Bacchetti, P., and Moss, A. R. (1989), “Incubation Period of AIDS in San Francisco,” Nature, 338, 251–253.
3. Berman, S. M. (1990), “A Stochastic Model for the Distribution of HIV Latency Time Based on T4 Counts,” Biometrika, 77, 733–741.
4. Bowen, D. L., Lane, H. C, and Fauci, A. S. (1989), “Immunopathogenesis of the Acquired Immunodeficiency Syndrome,” Annals of Internal Medicine, 103, 704–709.
5. Box, G. E. P. (1980), “Sampling and Bayes’s Inference in Scientific Modeling and Robustness” (with discussion), Journal of the Royal Statistical Society, Ser. A, 143, 383–430.
6. Brookmeyer, R., and Gail, M. (1987), “Biases in Prevalent Cohorts,” Biometrics, 43, 739–749.
7. Brookmeyer, R., and Goedert, J. J. (1989), “Censoring in an Epidemic With an Application to Hemophilia-Associated AIDS,” Biometrics, 45, 325–335.
8. Centers for Disease Control (1989), “Guidelines for Prophylaxis Against Pneumocystis Carinii Pneumonia for Persons Infected with Human Immunodeficiency Virus,” Morbidity and Mortality Weekly Report, 38, S-5.
9. Collier, A. C., Bozzette, S., Coombs, R. W., Causey, D. M., Schoenfeld, D. A., Spector, S. A., Pettinelli, C. B., Davies, G., Richman, D. D., Leedom, J. M., Kidd, P., and Corey, L. (1990), “A Pilot Study of Low-Dose Zidovudine in Human Immunodeficiency Virus Infection. New England Journal of Medicine, 323, 1015–1021.
10. Dawson, J. D., and Lagakos, S. W. (1991), “Analyzing Laboratory Marker Changes in AIDS Clinical Trials,” Journal of Acquired Immune Deficiency Syndromes, 4, 667–676.
11. DeGruttola, V., Lange, N., and Dafni, U. (1991), “Modeling the Progression of HIV Infection,” Journal of the American Statistical Association, 86, 569–577.
12. Devash, Y., Calvelli, T. A., Wood, D. G., Reagan, K. J., and Rubenstein, A. (1990), “Vertical Transmission of Human Immunodeficiency Virus is Correlated With the Absence of High-Affinity/Avidity Maternal Antibodies to the gp120 Principal Neutralizing Domain. Proceedings of the National Academy of Science, 87, 3445–3449.
13. Draper, N. R., and Smith, H. (1980), Applied Regression Analysis (2nd ed.), New York: John Wiley.
14. Eyster, M. E., Ballard, J. O., Gail, M. H., Drummond, J. E., and Goedert, J. J. (1989), “Predictive Markers for the Acquired Immunodeficiency Syndrome (AIDS) in Hemophiliacs: Persistence ofp24 Antigen and Low T4 Cell Count,” Annals of Internal Medicine, 110, 963–969.
15. Eyster, M. E., Gail, M., Ballard, J., Al-Mondhiry, H., and Goedert, J. J. (1987), “Natural History of Human Immune Deficiency Virus Infection in Hemophiliacs: Effects of T-Cell Subsets, Platelet Counts, and Age,” Annals of Internal Medicine, 107, 1–6.
16. Eyster, M. E., Goedert, J. J., Sarngadharan, M. G., Weiss, S. H., Gallo, R. C., and Blattner, W. A. (1985), “Development and Early Natural History of HIV-III Antibodies in Persons with Hemophilia,” Journal of the American Medical Association, 253, 2219–2223.
17. Fahey, J. L., Taylor, J. M. G., Detels, R., Hofman, H., Melmed, R., Nishanian, P., and Giorgi, J. V. (1990), “The Prognostic Value of Cellular and Serologic Markers in Infection With Human Immunodeficiency Virus Type 1,” New England Journal of Medicine, 322, 166–172.
18. Fauci, A. S. (1988), “The Human Immunodeficiency Virus: Infectivity and Mechanisms of Pathogenesis,” Science, 239, 617–622.
19. Fauci, A. S., Macher, A. M., Longo, D. L., Lane, H. C., Rook, A. H., Masur, H., and Gelmann, E. P. (1984), “Acquired Immunodeficiency Syndrome: Epidemiologic, Ginical, Immunologic, and Therapeutic Considerations,” Annals of Internal Medicine, 100, 92–106.
20. Fearn, T. (1975), “A Bayesian Approach to Growth Curves,” Biometrika, 62, 89–100.
21. Fischl, M. A., Parker, C. B., Pettinelli, C., Wulfsohn, M., Hirsch, M. S., Collier, A. C., Antoniskis, D., Ho, M., Richman, D. D., Fuchs, E., Merigan, T. C., Reichman, R. C., Gold, J., Steiobigel, N., Leoung, G. S., Rasheed, S., Tsiatis, A., and the AIDS Clinical Trials Group (1990), “A Randomized Controlled Trial of a Reduced Daily Dose of Zidovudine in Patients With the Acquired Immunodeficiency Syndrome,” New England Journal of Medicine, 323, 1009–1014.
22. Geisser, S. (1970), “Bayesian Analysis of Growth Curves,” Sankhyā, Series A, 32, 53–64.
23. —— (1987), “Influential Observations, Diagnostics, and Discordancy Teste,” Journal of Applied Statistics, 14, 133–142.
24. Gelfand, A. E., Dey, D., and Chang, H. (1992), “Model Determination Using Predictive Distributions With Implementation Via Sampling-Based Methods,” In Bayesian Statistics 4, eds. J. Bernardo et al., London: Oxford University Press.
25. Gelfand, A. E., Hills, S. E., Racine-Poon, A., and Smith, A. F. M. (1990), “Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling,” Journal of the American Statistical Association, 85, 972–985.
26. Gelfand, A. E., and Smith, A. F. M. (1990), “Sampling-Based Approaches to Calculating Marginal Densities,” Journal of the American Statistical Association, 85, 398–409.
27. Geman, S., and Geman, D. (1984), “Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images,” IEEE Transactions on Pattern Analysis and Machine Intelligence, 6, 721–741.
28. Hessol, N. A., Lifson, A. R., O’Malley, P. M., Doll, L. S., Jaffe, H. W., and Rutherford, G. W. (1989), “Prevalence, Incidence, and Progression of Human Immunodeficiency Virus in Homosexual and Bisexual Men in Hepatitis B Vaccine Trials, 1978–1988,” American Journal of Epidemiology, 130, 1167–1175.
29. Holmberg, S. D., Stewart, J. A., Gerber, A. R., Byers, R. H., Lee, F. K., O’Malley, P. M., and Nahmias, A. J. (1988), “Prior Self-Reported Herpes Simplex Virus Type 2 Infection as a Risk Factor for HIV Infection,” Journal of the American Medical Association, 259, 1048–1050.
30. Lang, W., Perkins, H., Anderson, R., Royce, R., Jewell, N., and Winklestein, W. (1989), “Patterns of T Lymphocyte Changes with Human Immunodeficiency Virus Infection: From Seroconversion to the Development of AIDS,” Journal of Acquired Immune Deficiency Syndromes, 2, 63–69.
31. Lange, N. (in press), “Graphs and Stochastic Relaxation for Hierarchical Bayes Modeling,” Statistics in Medicine.
32. Lange, N., and Laird, N. M. (1989), “The Effect of Covariance Structure on Variance Estimation in Balanced Growth-Curve Models With Random Parameters,” Journal of the American Statistical Asociation, 84, 241–247.
33. Lange, N., and Ryan, L. (1989), “Assessing Normality in Random Effects Models,” The Annals of Statistics, 17, 624–642.
34. Lee, J. C. (1988), “Prediction and Estimation of Growth Curves With Special Covariance Structures,” Journal of the American Statistical Association, 83, 432–440.
35. Lee, J. C., and Geisser, S. (1972), “Growth Curve Prediction,” Sankhyä, Series A, 4, 393–412.
36. Leibovitz, E., Rigaud, M., Pollack, H., Lawrence, R., Chandwani, S., Krasinski, K., and Borkowsky, W. (1990), “Pneumocystis Carinii Pneumonia in Infants Infected With the Human Immunodeficiency Virus With More than 450 CD4 T Lymphocytes per Cubic Millimeter,” New England Journal of Medicine, 323, 531–533.
37. Leoung, G. S., Feigal, D. W., Montgomery, A. B., Corkery, K., Wardlaw, L., Adams, M., Busch, D., Gordon, S., Jacobsen, M. A., Volberding, P. A., Abrams, D., and the San Francisco Community Consortium (1990), “Aerosolized Pentamidine for Prophylaxis Against Pneumocystis Carinii Pneumonia,” New England Journal of Medicine, 323, 769–775.
38. Lindley, D. V., and Smith, A. F. M. (1972), “Bayes Estimates for the Linear Model” (with discussion), Journal of the Royal Statistical Society, Ser. B, 34, 1–41.
39. Masur, H., Ognibene, F. P., Yarochoan, R. Y., Shelhamer, J. H., Baird, B. F., Travis, W., Suffredini, A. F., Deyton, L., Kovacs, J. A., Falloon, J., Davey, R., Polis, M., Metealf, J., Baseler, M., Wesley, R., Gill, V. J., Fauci, A. S., and Lane, H. C. (1989), “CD4 Counts as Predictors of Opportunistic Pneumonias in Human Immunodeficiency Virus Infection,” Annals of Internal Medicine, 111, 223–231.
40. Muñoz, A., Wang, M-C., Bass, S., Taylor, J. M. G., Kingsley, L. A., Chmiel, J. S., and Polk, B. F. (1989), “Acquired Immunodeficiency Syndromes (AIDS)-Free Time After Human Immunodeficiency Virus Type 1 (HIV-1) Seroconversion in Homosexual Men,” American Journal of Epidemiology, 130, 530–539.
41. Odell, P. L., and Feiveson, A. H. (1966), “A Numerical Procedure to Generate a Sample Covariance Matrix,” Journal of the American Statistical Association, 61, 198–203.
42. Phair, J., Muñoz, A., Detels, R., Kaslow, R., Rinaldo, C., Saah, A., and the Multicenter AIDS Cohort Study Group (1990), “The Risk of Pneumocystis Carinii Infection Among Men Infected With Human Immunodeficiency Virus Type 1 New England Journal of Medicine, 322, 161–165.
43. Rao, C. R. (1987), “Prediction of Future Observations in Growth Curve Models” (with comments), Statistical Science, 4, 434–471.
44. Seligmann, M., Pinching, A., Rosen, F., Fahey, J. L., Khaitov, R. M., Klatzmann, D., Koenig, S., Luo, N., Ngu, J., Riethmüller, G., and Spira, T. J. (1987), “Immunology of HIV Infection and AIDS,” Annals of Internal Medicine, 107, 234–242.
45. Tanner, M., and Wong, W. (1987), “The Calculation of Posterior Distributions by Data Augmentation” (with discussion), Journal of the American Statistical Association, 82, 528–550.
46. Taylor, J., Fahey, J., Detels, R., and Giorgi, J. (1989), “CD4 Percentage, CD4 Number, and CD4:CD8 Ratio in HIV Infection: Which to Choose and How to Use,” Journal of Acquired Immune Deficiency Syndromes, 2, 114–124.
47. Taylor, J. M. G., Muñoz, A., Bass, S. M., Chmiel, J. S., Kingsley, L. A., and Saah, A. J. (1990), “Estimating the Distribution of Times From HIV Seroconversion to AIDS Using Multiple Imputation,” Statistics in Medicine, 9, 505–514.
48. Taylor, J., Tan, S-J., Detels, R., and Giorgi, J. (1991), “Application of a Computer Simulation Model of the Natural History of CD4 T-Cell in HIV-infected Individuals,” AIDS, 5, 159–167.
49. Volberding, P. A., Lagakos, S. W., Koch, M. A., Pettinelli, C., Myers, M. W., Booth, D. K., Balfour, H. H., Reichman, R. C., Bartlett, J. A., Hirsch, M. S., Murphy, R. L., Hardy, W. D., Soeiro, R., Fischl, M. A., Bartlett, J. G., Merigan, T. C., Hyslop, N. E., Richman, D. D., Valentine, F. T., Corey, L., and the AIDS Clinical Trials Group of the National Institute of Allergy and Infectious Diseases (1990), “Zidovudine in Asymptomatic Human Immunodeficiency Virus Infection,” New England Journal of Medicine, 322, 941–949.