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http://dx.doi.org/10.5351/KJAS.2012.25.6.947

A Flexible Modeling Approach for Current Status Survival Data via Pseudo-Observations  

Han, Seungbong (Department of Clinical Epidemiology and Biostatistics, Asan Medical Center, University of Ulsan College of Medicine)
Andrei, Adin-Cristian (BCVI Clinical Trials Unit, Feinberg School of Medicine, Northwestern University)
Tsui, Kam-Wah (Department of Statistics, University of Wisconsin-Madison)
Publication Information
The Korean Journal of Applied Statistics / v.25, no.6, 2012 , pp. 947-958 More about this Journal
Abstract
When modeling event times in biomedical studies, the outcome might be incompletely observed. In this paper, we assume that the outcome is recorded as current status failure time data. Despite well-developed literature the routine practical use of many current status data modeling methods remains infrequent due to the lack of specialized statistical software, the difficulty to assess model goodness-of-fit, as well as the possible loss of information caused by covariate grouping or discretization. We propose a model based on pseudo-observations that is convenient to implement and that allows for flexibility in the choice of the outcome. Parameter estimates are obtained based on generalized estimating equations. Examples from studies in bile duct hyperplasia and breast cancer in conjunction with simulated data illustrate the practical advantages of this model.
Keywords
Breast cancer; current status data; generalized estimating equations; NPMLE; regression model;
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1 Andersen, P. K., Hansen, M. G. and Klein, J. P. (2004). Regression analysis of restricted mean survival time based on pseudo-observations, Life Time Data Analysis, 10, 335-350.   DOI
2 Andersen, P. K., Klein J. P. and Rosthoj, S. (2003). Generalized linear models for correlated pseudoobservations with applications to multi-state models, Biometrika, 90, 15-27.   DOI   ScienceOn
3 Andersen, P. K. and Perme, M. P. (2010). Pseudo-observations in survival analysis, Statistical Methods in Medical Research, 19, 71-99.   DOI   ScienceOn
4 Andrei, A. C. and Murray, S. (2007). Regression models for the mean of quality-of-life-adjusted restricted survival time using pseudo-observations, Biometrics, 63, 398-404.   DOI   ScienceOn
5 Chen, P. Y. and Tsiatis, A. A. (2001). Causal inference on the difference of the restricted mean lifetime between two groups, Biometrics, 57, 1030-1038.   DOI   ScienceOn
6 Diamond, I. D., McDonald, J. W. and Shah, I. H. (1986). Proportional hazards models for current status data: Application to the study of differentials in age at weaning in Pakistan, Demography, 23, 607-620.   DOI
7 Dinse, G. E. and Lagakos, S. W. (1983). Regression analysis of Tumor prevalence data, Journal of the Royal Statistical Society, Series C (Applied Statistics), 32, 236-248.
8 Ghosh, D. (2003). Goodness-of-fit methods for additive-risk models in tumorigenicity experiments, Biometrics, 55, 721-726.
9 Graw, F., Gerds, T. A. and Schumacher, M. (2009). On pseudo-values for regression analysis in competing risks models, Lifetime Data Analysis, 15, 241-255.   DOI
10 Gruber, G., Cole, B. F., Castiglione-Gertsch, M., Holmberg, S. B., Lindtner, J., Golouh, R., Collins, J., Crivellari, D., Thurlimann, B., Simoncini, E., Fey, M. F., Gelber, R. D., Coates, A. S., Price, K. N., Goldhirsch, A., Viale, G. and Gusterson, B. A. (2008). Extracapsular tumor spread and the risk of local, axillary and supraclavicular recurrence in node-positive, premenopausal patients with breast cancer. Annals of Oncology, 19, 1393-1401.   DOI   ScienceOn
11 Grummer-Strawn, L. M. (1993). Regression analysis of current-status data: An application to breast-feeding, Journal of the American Statistical Association, 88, 758-765.   DOI   ScienceOn
12 Han, S., Andrei, A.-C. and Tsui, K.-W. (2012). A semiparametric regression method for interval-censored data, Communications in Statistics-Simulation and Computation, To be appeared.
13 Hjort, N. L. and Claeskens, G. (2008). Model Selection and Model Averaging, Cambridge University Press, New York.
14 Huang, J. (1995). Maximum likelihood estimation for proportional odds regression with current status data, Analysis of Censored Data, IMS Lecture Notes-Monograph Series, 27, 129-146.
15 Klein, J. P. and Andersen, P. K. (2005). Regression modeling for competing risks data based on pseudo-values of the cumulative incidence function, Biometrics, 61, 223-229.   DOI   ScienceOn
16 Huang, J. (1996). Efficient estimation for the proportional hazards model with interval censoring, The Annals of Statistics, 24, 540-568.   DOI
17 Huang, J. and Rossini, A. J. (1997). Sieve estimation for the proportional odds failure-time regression model with interval censoring, Journal of the American Statistical Association, 93, 960-967.
18 International Breast Cancer Study Group (1996). Duration and reintroduction of adjuvant chemotherapy for node-positive premenopausal breast cancer patients, Journal of Clinical Oncology, 14, 1885-1894.   DOI
19 Koul, H. L. and Yi, T. (2006). Goodness-of-fit testing in interval censoring case I, Statistics and Probability Letters, 76, 709-718.   DOI   ScienceOn
20 Lin, D. Y., Oakes, D. and Ying, Z. (1998). Additive hazards regression with current status data, Biometrika, 85, 289-298.   DOI   ScienceOn
21 Logan, B. R., Klein, J. P. and Zhang, M. J. (2008). Comparing treatments in the presence of crossing survival curves: An application to bone marrow transplantation, Biometrics, 64, 733-740.   DOI   ScienceOn
22 Logan, B. R., Zhang, M. J. and Klein, J. P. (2011). Marginal models for clustered time-to-event data with competing risks using pseudovalues, Biometrics, 67, 1-7.   DOI   ScienceOn
23 Martinussen, T. and Scheike, T. H. (2002). Efficient estimation in additive hazards regression with current status data, Biometrika, 89, 649-658.   DOI   ScienceOn
24 Rossini, A. J. and Tsiatis, A. A. (1996). A semiparametric proportional odds regression model for the analysis of current status data, Journal of American Statistical Association, 91, 713-721.   DOI   ScienceOn
25 Namata, H., Shkedy, Z., Faes, C., Aerts, M., Molenberghs, G., Theeten, H., Van Damme, P. and Beutels, P. (2007). Estimation of the force of infection from current status data using generalized linear mixed models, Journal of Applied Statistics, 34, 923-939.   DOI   ScienceOn
26 Perme, M. P. and Anderson, P. K. (2008). Checking hazard regression models using pseudo-observations, Statistics in Medicine, 27, 5309-5328.   DOI   ScienceOn
27 Robertson, T., Wright, F. T. and Dykstra, R. L. (1988). Order Restricted Statistical Inference, John Wiley, New York.
28 Shen, X. (2000). Linear regression with current status data, Journal of the American Statistical Association, 95, 842-852.   DOI   ScienceOn
29 Shiboski, S. C. (1998). Generalized additive models for current status data, Lifetime Data Analysis, 4, 29-50.   DOI
30 Sun, J. and Sun, L. (2005). Semiparametric linear transformation models for current status data, The Canadian Journal of Statistics, 33, 85-96.   DOI   ScienceOn
31 Tian, L. and Cai, T. (2006). On the accelerated failure time model for current status and interval censored data, Biometrika, 93, 329-342.   DOI   ScienceOn
32 Tong, X., Zhu, C. and Sun, J. (2007). Semiparametric regression analysis of two-sample current status data, with applications to tumorigenicity experiments, The Canadian Journal of Statistics, 35, 575-584.   DOI   ScienceOn
33 Tukey, J. W. (1958). Bias and confidence in not quite large samples, Annals of Mathematical Statistics, 29, 614.   DOI   ScienceOn
34 Yan, J. and Fine, J. P. (2004). Estimating Equations for Association Structures, Statistics in Medicine, 23, 859-880.   DOI   ScienceOn
35 Vincent, J. C. (2011). gee: Generalized Estimation Equation solver. R package version 4.13-17 http://CRAN.R-project.org/package=gee
36 Wang, W. and Ding, A. A. (2000). On assessing the association for bivariate current status data, Biometrika, 87, 879-893.   DOI   ScienceOn
37 Yan, J. (2002). geepack: Yet Another Package for Generalized Estimating Equations, R-News, 12-14.