Joint modeling of time series measures and recurrent events and analysis of the effects of air quality on respiratory symptoms

Journal of the American Statistical Association

Volumn 103, Issue 481, 2008, Pages 48-60

  Zhang, Heping ^a,b   Ye, Yuanqing ^c   Diggle, Peter ^d,e   Shi, Jian ^f  

^a YALE UNIVERSITY SCHOOL OF MEDICINE   (United States)

^b JIANGXI NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF TEXAS   (United States)

^d LANCASTER UNIVERSITY   (United Kingdom)

^e JOHNS HOPKINS BLOOMBERG SCHOOL OF PUBLIC HEALTH   (United States)

^f CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Censored data; Joint analysis; Longitudinal data; Recurrent event

Indexed keywords

EID: 42349114196     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214507000000185     Document Type: Article

References (40)

1. Andersen, P. K., Borgan, O., Gill, R. D., and Keiding, N. (1993), Statistical Models Based on Counting Processes, New York: Springer.
2. Booth, J. G., and Hobert, J. P. (1999), "Maximizing Generalized Linear Mixed Model Likelihoods With an Automated Monte Carlo EM Algorithm," Journal of Royal Statistical Society, Ser. B, 61, 265-285.
3. Chilès, J.-P., and Delfiner, P. (1999), Geostatistics, New York: Wiley.
4. Cox, D. R. (1972), "The Statistical Analysis of Dependencies in Point Processes," in Stochastic Point Processes, ed. P. A. W. Lewis, New York: Wiley, pp. 55-66.
5. Cressie, N. A. C. (1993), Statistical for Spatial Data, New York: Wiley.
6. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood From Incomplete Data via the EM Algorithm" (with discussion), Journal of the Royal Statistical Society, Ser. B, 39, 1-38.
7. Faucett, C. L., Schenker, N., and Elashoff, R. M. (1998), "Analysis of Censored Survival Data With Intermittently Observed Time-Dependent Binary Covariates," Journal of the American Statistical Association, 93, 427-437.
8. Faucett, C. L., and Thomas, D. C. (1996), "Simultaneously Modeling Censored Survival Data and Repeatedly Measured Covariates: A Gibbs Sampling Approach," Statistics in Medicine, 15, 1663-1685.
9. Finkelstein, D. M., and Schoenfeld, D. A. (1999), "Combining Mortality and Longtudinal Measures in Clinical Trials," Statistical Methods in Medical Research, 18, 1341-1354.
10. Gelfand, A. E., and Smith, F. M. A. (1990), "Sampling-Based Approaches to Calculating Marginal Densities," Journal of the American Statistical Association, 85, 398-409.
11. _ (1991), "Gibbs Sampling for Marginal Posterior Expectations," Communications in Statistics, 20, 1747-1766.
12. Gent, J. F., Triche, E. W., Holford, T. R., Belanger, K., Bracken, M. B., Beckett, W. S., and Leaderer, B. P. (2003), "Association of Low-Level Ozone and Fine Particles With Respiratory Symptoms in Children With Asthma," Journal of the American Medical Association, 290, 1859-1867.
13. Gold, D. R., Damokosh, A. I., Pope, C. A. III, Dockery, D. W., McDonnell, W. F., Serrano, P., Retama, A., and Castillejos, M. (1999), "Particulate and Ozone Pollutant Effects on the Respiratory Function of Children in Southwest Mexico City," Epidemiology, 10, 8-16.
14. Henderson, R., Diggle, P., and Dobson, A. (2000), "Joint Modelling of Longitudinal Measurements and Event Time Data," Biostatistics, 1, 465-480.
15. Hoeting, J. A., Madigan, D., Raftery, A. E., and Volinsky, C. T. (1999), "Bayesian Model Averaging: A Tutorial," Statistical Science, 14, 382-401.
16. Hogan, J. W., and Laird, N. M. (1997a), "Mixture Models for the Joint Distribution of Repeated Measures and Event Times," Statistical Methods in Medical Research, 16, 239-257.
17. _ (1997b), "Model-Based Approaches to Analysing Incomplete Longitudinal and Failure Time Data," Statistical Methods in Medical Research, 16, 259-272.
18. Ibrahim, J. G., Chen, M.-H., and Sinha, D. (2001), Bayesian Survival Analysis, New York: Springer.
19. _ (2004), "Bayesian Methods for Joint Modelling of Longitudinal and Survival Data With Applications to Cancer Vaccine Studies," Statistica Sinica, 14, 863-883.
20. Kedem, B. (1980), Binary Time Series, New York: Marcel Dekker.
21. Keenan, D. M. (1982), "A Time Series Analysis of Binary Data," Journal of the American Statistical Association, 77, 816-821.
22. Louis, T. A. ( 1982), "Finding the Observed Information Matrix When Using the EM Algorithm," Journal of the Royal Statistical Society, Ser. B, 44, 190-200.
23. Matérn, B. (1960), Spatial Variation-Stochastic Models and Their Applications to Some Problems in Forest Surveys and Other Sampling Investigations, Stockholm: Almaenna Foerlaget.
24. McCulloch, C. E. (1997), "Maximum Likelihood Algorithms for Generalized Linear Mixed Models," Journal of American Statistical Association, 92, 162-170.
25. Neas, L. M., Dockery, D. W., Koutrakis, P., Tollerud, D. J., and Speizer, F. E. (1995), "The Association of Ambient Air Pollution With Twice-Daily Peak Expiratory Flow Rate Measurements in Children," American Journal of Epidemiology, 141, 111-122.
26. Ostro, B. D., Lipsett, M. J., Mann, J. K., Braxton-Owens, H., and White, M. C. (1995), "Air Pollution and Asthma Exacerbations Among African-American Children in Los Angeles," Inhalation Toxicology, 1, 711-722.
27. Peters, A., Dockery, D. W., Heinrich, J., and Wichmann, H. E. (1997a), "Medication Use Modifies the Health Effects of Particulate Sulfate Air Pollution in Children With Asthma," Environmental Health Perspectives, 105, 430-435.
28. Peters, A., Wichmann, H. E., Tuch, T., Heinrich, J., and Heyder, J. (1997b), Respiratory Effects Are Associated With the Number of Ultrafine Particles," American Journal Respiratory Critical Care Medicine, 155, 1376-1383.
29. Schwartz, J. (1994), "Air Pollution and Hospital Admissions for the Elderly in Birmingham, Alabama," American Journal of Epidemiology, 139, 589-598.
30. Schwartz, J., Dockery, D. W., Neas, L. M., Wyupij, D., Ware, J. H., Spengler, J. D., Koutrakis, P., Speizer, F. E., and Ferris, B. J. (1994), "Acute Effects of Summer Air Pollution on Respiratory Symptom Reporting in Children," American Review of Respiratory Disease, 150, 1234-1242.
31. Stein, M. L. (1999), Interpolation of Spatial Data: Some Theory for Kriging, New York: Springer.
32. Thurston, G. D., Itô, K., Hayes, C. G., Bates, D. V., and Lippmann, M. (1994), "Respiratory Hospital Admissions and Summertime Haze Air Pollution in Toronto, Ontario: Consideration of the Role of Acid Aerosols," Environment Research, 65, 271-290.
33. Tsiatis, A. A., Degruttola, V., and Wulfsohn, M. S. (1995), "Modelling the Relationship of Survival to Longitudinal Data Measured With Error: Applications to Survival and CD4 Counts Inpatients With AIDS," Journal of the American Statistical Association, 90, 27-37.
34. U.S. Environmental Protection Agency (1995), "Air Quality Criteria for Particulate Matter," Report EPA/600/AP-95/001c.3v, Office of Health and Environmental Assessment, Environmental Criteria and Assessment Office.
35. _ (1996), "Air Quality Criteria for Ozone and Related Photochemical Oxidants," Report EPA/600/P-93/004c.3F, National Center for Environmental Assessment, Office of Research and Development.
36. Vaida, F., and Xu, R. (2000), "Proportional Hazards Model With Random Effect," Statistics in Medicine, 19, 3309-3324.
37. Wang, Y., and Taylor, J. M. G. (2001), "Jointly Modeling Longitudinal and Event Time Data With Application to Acquired Immunodeficiency Syndrome," Journal of the American Statistical Association, 96, 895-905.
38. Wulfsohn, M. S., and Tsiatis, A. A. (1997), "A Joint Model for Survival and Longitudinal Data Measured With Error," Biometrics, 53, 330-339.
39. Xu, J., and Zeger, S. L. (2001), "Joint Analysis of Longitudinal Data Comprising Repeated Measures and Times to Events," Applied Statistics, 50, 375-387.
40. Zhang, H. P., Triche, E., and Leaderer, B. (2000), "Model for the Analysis of Binary Time Series of Respiratory Symptoms," American Journal of Epidemiology, 151, 1206-1215.