A general bootstrap algorithm for hypothesis testing

Journal of Statistical Planning and Inference

Volumn 142, Issue 2, 2012, Pages 589-600

  Martínez Camblor, Pablo ^a,b   Corral, Norberto ^b  

^a CAIBER Oficina de Investigación Biosanitaria   (Spain)

^b UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Competing risk; Cumulative incidence function; Gini index; Survival model

Indexed keywords

EID: 80053572466     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2011.09.003     Document Type: Article

References (41)

1. Aalen O.O. Nonparametric inference for a family of counting processes. Annals of Statistics 1978, 6:701-726.
2. Akritas M.G. Bootstrapping the Kaplan-Meier estimator. Journal of the American Statistical Association 1986, 81(396):1032-1038.
3. Bickel, P.J., Ren, J.J., 2001. The Bootstrap in Hypothesis Testing. Lecture Notes-Monograph Series, vol. 36, pp. 91-112.
4. Csörgo S. Universal Gaussian approximations under random censorship. Annals of Statistics 1996, 34(6):2744-2778.
5. Davison A.C., Hinkley D.V. Bootstrap Methods and their Application 1997, Cambridge University Press, Cambridge.
6. DiCiccio T.J., Efron B. Bootstrap confidence intervals (with discussion). Statistical Sciences 1996, 11:189-228.
7. Efron B. Bootstrap methods: another look at the jackknife. Annals of Statistics 1979, 7(1):1-26.
8. Efron B. Censored data and the bootstrap. Journal of the American Statistical Association 1981, 76:312-319.
9. Efron, B., 1982. The jackknife, the bootstrap and other resampling plans. In: Regional Conference Series in Applied Mathematics, CBMS-NSF.
10. Efron B., Tibshirani R.J. An Introduction to the Bootstrap 1993, Chapman & Hall, New York.
11. Fisher N.I., Hall P. On bootstrap hypothesis testing. Australian & New Zealand Journal of Statistics 1990, 32(2):177-190.
12. Gray R.J. A class of k-sample tests for comparing the cumulative incidence of a competing risk. Annals of Statistics 1988, 16:1141-1154.
13. Gini, C., 1995. Variabilitá e mutabilita. In: Pizetti, E., Salvemini, T. (Eds.), Memorie di Metodologia Statistica, Rome. Reprinted (Libreria Eredi Virgilio Veschi, 1912).
14. González-Manteiga W., Prada-Sánchez J.M. The bootstrap-a review. Computational Statistics 1994, 9:165-205.
15. Gooley T.A., Leisenring W., Crowley J., Storer B.E. Estimation of failure probabilities in the presence of competing risks: new representations of old estimators. Statistics in Medicine 1999, 18:695-706.
16. Hall P. Theoretical comparison of bootstrap confidence intervals (with discussion). Annal of Statistics 1988, 16:927-953.
17. Hall P. The Bootstrap and Edgeworth Expansion 1992, Springer, New York.
18. Hall P., Wilson S.R. Two guidelines for bootstrap hypothesis testing. Biometrics 1991, 47:757-762.
19. Harrington D.P., Fleming T.R. A class of rank test procedures for censored survival data. Biometrika 1982, 69(3):553-566.
20. p-norms of multivariate density estimators. Annals of Statistics 1991, 19(4):1933-1949.
21. Kalbfleish J.D., Prentice R.L. The Statistical Analysis of Failure Time Data 1980, John Wiley, New York.
22. Kaplan E.L., Meier P. Nonparametric estimation from incomplete observations. Journal of American Statistic Association 1958, 53:457-481.
23. Kiefer J. k-Sample analogues of the Kolmogorov-Smirnov, Cramér-von Mises tests. Annals of Mathematical Statistics 1959, 30:420-447.
24. Kraus, D., 2007. Smooth Tests of Equality of Cumulative Incidence Function in Two Samples. Institute of Information and Automation, Prague, Research Report 2197, pp. 1-12.
25. Lin D.Y. Nonparametric inference for cumulative incidence functions in competing risks studies. Statistics in Medicine 1997, 16:901-910.
26. Martin M.A. Bootstrap hypothesis testing for some common statistical problems: a critical evaluation of size and power properties. Computational Statistics & Data Analysis 2007, 51(12):6321-6342.
27. Martínez-Camblor P. Central limit theorems for S-Gini and Theil inequality coefficients. Revista Colombiana de Estadística 2007, 2:287-300.
28. Martínez-Camblor P. Nonparametric k-sample test based on kernel density estimator for paired design. Computational Statistics & Data Analysis 2010, 54:2035-2045.
29. Martínez-Camblor P. Comparing k-independent and right censored samples based on the likelihood ratio. Computational Statistics 2010, 25:363-374.
30. Martínez-Camblor P. Testing the equality among distribution functions from independent and right censored samples via Cramér-von Mises criterion. Journal of Applied Statistics 2011, 38(6):1117-1131.
31. Martínez-Camblor, P., Carleos, C., Corral, N., 2011a. Cramér-von Mises statistic for paired samples, unpublished manuscript.
32. Martínez-Camblor, P., Corral, N., Vicente, D., 2011b. Statistical comparison of the genetic sequence type diversity of invasive Neisseria meningitidis isolates in northern Spain (1997-2008). Ecological Informatics, in press. doi:. http://10.1016/j.ecoinf.2011.06.001.
33. Martínez-Camblor P., Corral N. Repeated measures analysis for functional data. Computational Statistics & Data Analysis 2011, 55(12):3244-3256.
34. Pepe M.S. Inference for events with dependent risks in multiple endpoint studies. Journal of American Statistical Association 1991, 86:770-778.
35. Reid N. Estimating the median survival time. Biometrika 1981, 68:601-608.
36. Romano J.P. A bootstrap revival of some nonparametric distance tests. Journal of American Statistic Association 1988, 83:698-708.
37. Romano J.P. Bootstrap of randomization tests of some nonparametric hypotheses. Annals of Statistic 1989, 17:141-159.
38. Shao J., Tu D. The Jackknife and the Bootstrap 1995, Springer, New York.
39. Silverman B.W. Using kernel density estimates to investigate multimodality. Journal of the Royal Statistical Society, Series B 1981, 43(1):97-99.
40. Van der Vaart A.W. Asymptotic Statistics 1998, Cambridge University Press, London.
41. Westfall P.H., Young S.S. Resampling-based Multiple Testing: Examples and Methods for p-value Adjustment 1993, Wiley, New York.