Analysis of heart transplant survival data using generalized additive models

Computational and Mathematical Methods in Medicine

Volumn 2013, Issue , 2013, Pages

  Tsujitani, Masaaki ^a   Tanaka, Yusuke ^b  

^a OSAKA ELECTRO COMMUNICATION UNIVERSITY   (Japan)

^b EPS Corporation   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVES; CONTOUR MEASUREMENT;

EXPONENTIAL MODELS; GENERALIZED ADDITIVE MODEL; HEART TRANSPLANT; LOGISTIC REGRESSION MODELING; PROPORTIONAL HAZARDS; SMOOTHING SPLINE; SURVIVAL DATA; SURVIVAL FUNCTION;

LOGISTIC REGRESSION;

ADULT; ARTICLE; GENERALIZED ADDITIVE MODEL; HEART GRAFT; HUMAN; PROPORTIONAL HAZARDS MODEL; STATISTICAL MODEL; SURVIVAL; SURVIVAL TIME; ALGORITHM; BIOLOGY; HEART TRANSPLANTATION; MIDDLE AGED; MORTALITY; STATISTICS; STATISTICS AND NUMERICAL DATA;

ADULT; ALGORITHMS; COMPUTATIONAL BIOLOGY; HEART TRANSPLANTATION; HUMANS; LINEAR MODELS; LOGISTIC MODELS; MIDDLE AGED; MODELS, STATISTICAL; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 84878648921     PISSN: 1748670X     EISSN: 17486718     Source Type: Journal    
DOI: 10.1155/2013/609857     Document Type: Article

References (30)

1. Klein J. P., Moeschberger M. L., Survival Analysis 2003 2nd New York, NY, USA Springer
2. Collett D., Modelling Survival Data in Medical Research 1994 London, UK Chapman and Hall
3. Murtaugh P. A., Dickson E. R., van Dam G. M., Malinchoc M., Grambsch P. M., Langworthy A. L., Gips C. H., Primary biliary cirrhosis: prediction of short-term survival based on repeated patient visits. Hepatology 1994 20 1 I 126 134 2-s2.0-0028339925 10.1016/0270-9139(94)90144-9 (Pubitemid 24196501)
4. Christensen E., Schlichting P., Andersen P. K., Fauerholdt L., Schou G., Pedersen B. V., Juhl E., Poulsen H., Tygstrup N., Updating prognosis and therapeutic effect evaluation in cirrhosis with Cox's multiple regression model for time-dependent variables. Scandinavian Journal of Gastroenterology 1986 21 163 174 (Pubitemid 16123950)
5. Christensen E., Altman D. G., Neuberger J., De Stavola B. L., Tygstrup N., Williams R., Benhamou J. P., Crowe J., Doniach D., De Groote J., Iversen K., Juhl E., Mistills S., Popper H., Portmann B., Ranek L., Ring-Larsen H., Rodes J., Schaffner F., Updating prognosis in primary biliary cirrhosis using a time-dependent Cox regression model. Gastroenterology 1993 105 6 1865 1876 2-s2.0-0027137408 (Pubitemid 24002806)
6. Altman D. G., de Stavola B. L., Practical problems in fitting a proportional hazards model to data with updated measurements of the covariates. Statistics in Medicine 1994 13 4 301 341 2-s2.0-0028087289 (Pubitemid 24048573)
7. Crowley J., Hu M., Covariance analysis of heart transplant survival data. Journal of the American Statistical Association 1977 72 27 36
8. Aitkin M., Laird N., Francis B., A reanalysis of the Stanford Heart Transplant data. Journal of the American Statistical Association 1983 78 264 292
9. Lawless J. F., Statistical Models and Methods for Lifetime Data 2003 2nd New York, NY, USA John Wiley
10. Arjas E., A graphical method for assessing goodness of fit in Cox's proportional hazards model. Journal of the American Statistical Association 1988 83 204 212
11. Biganzoli E., Boracchi P., Mariani L., Marubini E., Feed forward neural networks for the analysis of censored survival data: a partial logistic approach. Statistics in Medicine 1998 17 1169 1186 (Pubitemid 28221032)
12. Biganzoli E., Boracchi P., Marubini E., A general framework for neural network models on censored survival data. Neural Networks 2002 15 2 209 218 2-s2.0-0036199021 10.1016/S0893-6080(01)00131-9 (Pubitemid 34213779)
13. Tsujitani M., Sakon M., Analysis of survival data having time-dependent covariates. IEEE Transactions on Neural Networks 2009 20 3 389 394 2-s2.0-63049091994 10.1109/TNN.2008.2008328
14. Tsujitani M., Tanaka Y., Sakon M., Survival data analysis with time-dependent covariates using generalized additive models. Computational and Mathematical Methods in Medicine 2012 2012 9 986176 10.1155/2012/986176
15. Lagakos S. W., The graphical evaluation of explanatory variables in proportional hazard regression models. Biometrika 1981 68 1 93 98 2-s2.0-77956891213 10.1093/biomet/68.1.93
16. Cox D. R., Partial likelihood. Biometrika 1975 62 2 269 276 2-s2.0-0016794660
17. Efron B., Logistic regression, survival analysis, and Kaplan-Meier curve. Journal of the American Statistical Association 1988 83 414 425
18. Hastie T. J., Tibshirani R. J., Generalized Additive Models 1990 London, UK Chapman and Hall
19. Hastie T. J., Tibshirani R. J., Friedman J., The Elements of Statistical Learning: Data Mining, Inference, and Prediction 2001 New York, NY, USA Springer
20. McCullagh P., Nelder J. A., Generalized Linear Models 1989 2nd London, UK Chapman and Hall
21. Andelsen P. K., Gill R. D., Cox's regression model for counting process: a large sample study. Annals of Statistics 1982 10 1100 1120
22. Wood S. N., Stable and efficient multiple smoothing parameter estimation for generalized additive models. Journal of the American Statistical Association 2004 99 467 673 686 2-s2.0-4944226585 10.1198/016214504000000980 (Pubitemid 39332851)
23. Wood S. N., Generalized Additive Models: An Introduction with R 2006 London, UK Chapman and Hall
24. Wood S. N., Fast stable direct fitting and smoothness selection for generalized additive models. Journal of the Royal Statistical Society B 2008 70 3 495 518 2-s2.0-42149179133 10.1111/j.1467-9868.2007.00646.x
25. Zhang P., Model selection via multifold cross validation. Annals of Statistics 1993 21 299 313
26. Collett D., Modelling Binary Data 2003 2nd London, UK Chapman and Hall
27. Landwehr J. M., Pregibon D., Shoemaker A. C., Graphical methods for assessing logistic regression models. Journal of the American Statistical Association 1984 79 61 71
28. Efron B., Tibshirani R. J., An Introduction to the Bootstrap 1993 New York, NY, USA Chapman and Hall
29. Thomsen B. L., Keiding N., Altman D. G., A note on the calculation of expected survival, illustrated by the survival of liver transplant patients. Statistics in Medicine 1991 10 5 733 738 2-s2.0-0025856006
30. Kalbfleisch J. D., Prentice R. L., The Statistical Analysis of Failure Time Data 2002 2nd New York, NY, USA John Wiley