Abstract
HIV/AIDS epidemic is an important public health problem. The burden of the epidemic is estimated from surveillance systems data. The collected information is incomplete, making the estimation a challenging task and the reported trends often biased. The most common incomplete-data problems, in this kind of data, are due to under-diagnosis and reporting delays, mainly in the most recent years. This is a classical problem for imputation methodologies. In this paper we study the distribution of AIDS reporting delays through a mix approach, combining longitudinal K-means with the generalized least squares method. While the former identifies homogeneous delay patterns, the latter estimated longitudinal regression curves. We found that a 2-cluster structure is appropriated to accommodate the heterogeneity in reporting delay on HIV/AIDS data and that the corresponding estimated delay curves are almost stationary over time.
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References
Barnard, J. and Meng, X.-L. Applications of multiple imputation in medical studies: from AIDS to NHANES Statistical Methods in Medical Research, SAGE Publications, 1999, 8, 17-36
European Centre for Disease Prevention and Control/WHO Regional Office for Europe. HIV/AIDS surveillance in Europe 2011. Stockholm: European Centre for Disease Prevention and Control; 2012.
Mauch, S. Situational Assessment of the HIV/AIDS Notification System - A Portuguese Experience National Coordination For HIV Infection, 2009.
Oliveira, A., Costa, J. and Gaio, A.R., 2014, June. The incidence of AIDS in Portugal adjusted for reporting delay and underreporting. In Information Systems and Technologies (CISTI), 2014 9th Iberian Conference on (pp. 1-5). IEEE.
Pagano, M.; Tu, X. M.; De Gruttola, V., MaWhinney, S. Regression analysis of censored and truncated data: estimating reporting-delay distributions and AIDS incidence from surveillance data Biometrics, JSTOR, 1994, 1203-1214.
Newgard, C. D. and Haukoos, J. S. Advanced Statistics: Missing Data in Clinical Research - Part 2: Multiple Imputation Academic Emergency Medicine, Blackwell Publishing Ltd, 2007, 14, 669-678
Rosenberg, P. A simple correction of AIDS surveillance data for reporting delays J Acquir Immune Defic Syndr, 1990, 3, 49-54
Harris, J. E. Reporting delays and the incidence of AIDS. Journal of the American Statistical Association, Taylor and Francis Group, 1990, 85, 915-924
Brookmeyer, R. and Liao, J. Statistical modelling of the AIDS epidemic for forecasting health care needs, Biometrics, JSTOR, 1990, 1151-1163
Brookmeyer, R. and Damiano, A. Statistical methods for short-term projections of AIDS incidence, Statistics in Medicine, Wiley Online Library, 1989, 8, 23-34
Brookmeyer, R. and Gail, M. H. A method for obtaining short-term projections and lower bounds on the size of the AIDS epidemic, Journal of the American Statistical Association, Taylor and Francis Group, 1988, 83, 301
Kalbfleisch, J.and Lawless, J., Regression models for right truncated data with applications to AIDS incubation times and reporting lags, Statistica Sinica, World Scientific Publishing, 1991, 1, 19-32.
Green, T. A. Using surveillance data to monitor trends in the AIDS epidemic Statistics in Medicine, Wiley Online Library, 1998, 17, 143-154
European Centre for Disease Prevention and Control / WHO Regional Office for Europe, Hiv / aids surveillance in Europe 2008, Tech. report, Stockholm: European Centre for Disease Prevention and Control
Portaria n.258/2005 de 16 de Março. Diário da Repúbicla n.53/2005 - I Série B. Ministério da Saúde. Lisboa
Genolini C, Falissard B. KmL: k-means for longitudinal data. Comput Stat 2010; 25: 317-328
Sterne, J. A. C.; White, I. R.; Carlin, J. B.; Spratt, M.; Royston, P.; Kenward, M. G.; Wood, A. M. and Carpenter, J. R. Multiple imputation for missing data in epidemiological and clinical research: potential and pitfalls BMJ, BMJ Publishing Group Ltd, 2009, 338
Rubin, D. B., Multiple imputation for nonresponse in surveys, John Wiley and Sons, 2004, 81
Heitjan, D. F. Annotation: what can be done about missing data? approaches to imputation. American Journal of Public Health, American Public Health Association, 1997, 87, 548-550
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Oliveira, A., Rita Gaio, A., da Costa, J.P., Reis, L.P. (2016). An Approach for Assessing the Distribution of Reporting Delay in Portuguese AIDS Data. In: Rocha, Á., Correia, A., Adeli, H., Reis, L., Mendonça Teixeira, M. (eds) New Advances in Information Systems and Technologies. Advances in Intelligent Systems and Computing, vol 445. Springer, Cham. https://doi.org/10.1007/978-3-319-31307-8_66
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DOI: https://doi.org/10.1007/978-3-319-31307-8_66
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