Statistics/Probability Theory
Non-parametric tests for the two-group comparison with multivariate censored data
[Tests non-paramétriques de comparaison de deux groupes pour des données censurées multivariées]
Comptes Rendus. Mathématique, Tome 338 (2004) no. 8, pp. 635-640.

Nous proposons une nouvelle version multivariée des tests du logrank pondéré pour la comparaison de deux distributions de survie multivariée ; notre méthode s'inscrit dans le cadre de l'approche dite marginale, et utilise les propriétés des martingales. Nos résultats peuvent être généralisés à l'étude de plusieurs facteurs de risque par l'intermédiaire d'une version multivariée des modèles à risques proportionnels.

We developped a multivariate version of weighted logrank tests to compare two multivariate time-to-event distributions; our method is based on the marginal approach, and uses martingale properties. Our results can be extended to the study of several risk factors in a multivariate proportional hazard model.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.02.009
Pinçon, Claire 1

1 Laboratoire de statistique médicale, Université René Descartes, 45, rue des Saints-Pères, 75270 Paris cedex 06, France
@article{CRMATH_2004__338_8_635_0,
     author = {Pin\c{c}on, Claire},
     title = {Non-parametric tests for the two-group comparison with multivariate censored data},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {635--640},
     publisher = {Elsevier},
     volume = {338},
     number = {8},
     year = {2004},
     doi = {10.1016/j.crma.2004.02.009},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.02.009/}
}
TY  - JOUR
AU  - Pinçon, Claire
TI  - Non-parametric tests for the two-group comparison with multivariate censored data
JO  - Comptes Rendus. Mathématique
PY  - 2004
SP  - 635
EP  - 640
VL  - 338
IS  - 8
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.crma.2004.02.009/
DO  - 10.1016/j.crma.2004.02.009
LA  - en
ID  - CRMATH_2004__338_8_635_0
ER  - 
%0 Journal Article
%A Pinçon, Claire
%T Non-parametric tests for the two-group comparison with multivariate censored data
%J Comptes Rendus. Mathématique
%D 2004
%P 635-640
%V 338
%N 8
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.crma.2004.02.009/
%R 10.1016/j.crma.2004.02.009
%G en
%F CRMATH_2004__338_8_635_0
Pinçon, Claire. Non-parametric tests for the two-group comparison with multivariate censored data. Comptes Rendus. Mathématique, Tome 338 (2004) no. 8, pp. 635-640. doi : 10.1016/j.crma.2004.02.009. http://archive.numdam.org/articles/10.1016/j.crma.2004.02.009/

[1] Aalen, O.O. Nonparametric inference for a family of counting processes, Ann. Statist., Volume 6 (1975), pp. 701-726

[2] Dabrowska, D.M. Kaplan–Meier estimate on the plane, Ann. Statist., Volume 16 (1988), pp. 1475-1489

[3] Harrington, D.P.; Fleming, T.R. A class of rank test procedures for censored survival data, Biometrika, Volume 69 (1982), pp. 553-566

[4] Mantel, N. Evaluation of survival data and two new rank order statistics arising in its consideration, Cancer Chemother. Rep., Volume 50 (1966), pp. 163-170

[5] Nelson, W. Hazard plotting for incomplete failure data, J. Qual. Technol., Volume 1 (1969), pp. 27-52

[6] Pons, O. Test sur la loi d'un processus ponctuel, C. R. Acad. Sci. Paris, Ser. I, Volume 292 (1981), pp. 91-94

[7] Prentice, R.L. Linear rank tests with right censored data, Biometrika, Volume 65 (1978), pp. 167-179

[8] Prentice, R.L.; Cai, J. Covariance and survivor function estimation using censored multivariate failure time data, Biometrika, Volume 79 (1992), pp. 495-512

[9] Wei, L.J.; Lachin, J.M. Two-sample asymptotically distribution-free tests for incomplete multivariate observations, J. Am. Statist. Assoc., Volume 79 (1984) no. 387, pp. 653-661

[10] Wei, L.J.; Lin, D.Y.; Weissfeld, L. Regression analysis of multivariate incomplete failure time data by modeling marginal distributions, J. Am. Statist. Assoc., Volume 84 (1989) no. 408, pp. 1065-1073

Cité par Sources :