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Volumn 20, Issue 3, 2005, Pages 369-383

A Monte Carlo comparison of studentized bootstrap and permutation tests for heteroscedastic two-sample problems

Author keywords

Behrens Fisher; Bootstrap test; Permutation test; Pitman's permutation test; Studentized statistic; Welch test; Wilcoxon test

Indexed keywords


EID: 33746037217     PISSN: 09434062     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02741303     Document Type: Article
Times cited : (28)

References (27)
  • 1
    • 0000424410 scopus 로고
    • Prcpivoting to reduce level error of confidence sets
    • Beran, R. (1987). Prcpivoting to reduce level error of confidence sets. Biometrika, 74, 457-468.
    • (1987) Biometrika , vol.74 , pp. 457-468
    • Beran, R.1
  • 2
    • 84929837036 scopus 로고
    • Prepivoting test statistics: A bootstrap view of asymptotic refinement
    • Beran, R. (1988). Prepivoting test statistics: A bootstrap view of asymptotic refinement. J. Am. Stat. Assoc., 83, 403, 687-697.
    • (1988) J. Am. Stat. Assoc. , vol.83 , Issue.403 , pp. 687-697
    • Beran, R.1
  • 3
    • 0023346768 scopus 로고
    • Welch's approximate solution for the Behrens-Fisher problem
    • Best, D. J. and Rayner, J.C.W. (1987). Welch's approximate solution for the Behrens-Fisher problem. Technometrics, 29, 205-210.
    • (1987) Technometrics , vol.29 , pp. 205-210
    • Best, D.J.1    Rayner, J.C.W.2
  • 4
    • 0002344794 scopus 로고
    • Bootstrap methods: Another look at the jacknife
    • Efron, B. (1979). Bootstrap methods: Another look at the jacknife. Ann. Stat., 7, 1-27.
    • (1979) Ann. Stat. , vol.7 , pp. 1-27
    • Efron, B.1
  • 5
    • 0000186592 scopus 로고
    • The fiducial argument in statistical inference
    • Fisher, R.A. (1936). The fiducial argument in statistical inference. Ann. Eugenics, 6, 391-422.
    • (1936) Ann. Eugenics , vol.6 , pp. 391-422
    • Fisher, R.A.1
  • 6
    • 0011003578 scopus 로고
    • A Monte Carlo study of the Wilcoxon statistic for the Behrens-Fisher problem
    • Fung, K.Y. (1979). A Monte Carlo study of the Wilcoxon statistic for the Behrens-Fisher problem. J. Statist. Comput. Simul., 10, 15-24.
    • (1979) J. Statist. Comput. Simul. , vol.10 , pp. 15-24
    • Fung, K.Y.1
  • 7
    • 0038004900 scopus 로고    scopus 로고
    • Some tests with specified size for the Behrens-Fisher problem
    • Gupta, A.K. and Wang, Y. (1999). Some tests with specified size for the Behrens-Fisher problem. Commun. Statis., Theory Meth., 28, 3-4, 511-517.
    • (1999) Commun. Statis., Theory Meth. , vol.28 , Issue.3-4 , pp. 511-517
    • Gupta, A.K.1    Wang, Y.2
  • 9
    • 0030463436 scopus 로고    scopus 로고
    • Resampling procedures to compare two survival distributions in the presence of right-censored data
    • Heller, G. and Venkatraman, E.S. (1996). Resampling procedures to compare two survival distributions in the presence of right-censored data. Biometrics, 52, 1204-1213.
    • (1996) Biometrics , vol.52 , pp. 1204-1213
    • Heller, G.1    Venkatraman, E.S.2
  • 10
    • 0041334549 scopus 로고
    • Monte Carlo results for conditional survival tests under randomly censored data
    • Janssen, A. and Brenner, S. (1990). Monte Carlo results for conditional survival tests under randomly censored data. J. Stat. Comput. Simulation, 39, 1-2, 1-26.
    • (1990) J. Stat. Comput. Simulation , vol.39 , Issue.1-2 , pp. 1-26
    • Janssen, A.1    Brenner, S.2
  • 11
    • 0031573427 scopus 로고    scopus 로고
    • Studentized permutation tests for non i.i.d. hypotheses and the generalized Behrens-Fisher problem
    • Janssen, A. (1997). Studentized permutation tests for non i.i.d. hypotheses and the generalized Behrens-Fisher problem. Stat. Prob. Letters, 36, 1, 9-21.
    • (1997) Stat. Prob. Letters , vol.36 , Issue.1 , pp. 9-21
    • Janssen, A.1
  • 12
    • 0043233711 scopus 로고    scopus 로고
    • Testing nonparametric statistical functionals with application to rank tests
    • Janssen, A. (1999). Testing nonparametric statistical functionals with application to rank tests. J. Stat. Planning and Inference, 81, 1, 71-93.
    • (1999) J. Stat. Planning and Inference , vol.81 , Issue.1 , pp. 71-93
    • Janssen, A.1
  • 13
    • 0035531250 scopus 로고    scopus 로고
    • Conditional studentizcd survival tests for randomly censored models
    • Janssen, A. and Mayer, C.-D. (2001). Conditional studentizcd survival tests for randomly censored models. Scand. Journ. Stat., 28, 283-293.
    • (2001) Scand. Journ. Stat. , vol.28 , pp. 283-293
    • Janssen, A.1    Mayer, C.-D.2
  • 14
    • 33746079698 scopus 로고    scopus 로고
    • How do bootstrap and permutation tests work?
    • to appear in
    • Janssen, A. and Pauls, T. (2002). How do bootstrap and permutation tests work? to appear in Ann. Stat. (www. cs. uni-duesseldorf. de/~stoch/docs/howdo. html)
    • (2002) Ann. Stat.
    • Janssen, A.1    Pauls, T.2
  • 17
    • 0003367588 scopus 로고
    • Statistical problems with nuisance parameter
    • American Mathematical Society, Providence, RI
    • Linnik, Y.W. (1968). Statistical problems with nuisance parameter. Translation of Mathematical Monograph, vol. 20. American Mathematical Society, Providence, RI.
    • (1968) Translation of Mathematical Monograph , vol.20
    • Linnik, Y.W.1
  • 18
    • 0035470869 scopus 로고    scopus 로고
    • Bootstrapping the student t-statistic
    • Mason, D.M. and Shao, Q.-M. (2001). Bootstrapping the Student t-statistic. Ann. Probab., 29, 1435-1450.
    • (2001) Ann. Probab. , vol.29 , pp. 1435-1450
    • Mason, D.M.1    Shao, Q.-M.2
  • 19
    • 0001570535 scopus 로고
    • On the Behrens-Fisher problem
    • Metha, J.S. and Srinivasan, R. (1970). On the Behrens-Fisher problem. Biomctrika, 57, 649-655.
    • (1970) Biomctrika , vol.57 , pp. 649-655
    • Metha, J.S.1    Srinivasan, R.2
  • 20
    • 21344489430 scopus 로고
    • Conditional rank tests for the two-sample problem under random censorship
    • Neuhaus, N. (1993). Conditional rank tests for the two-sample problem under random censorship. Ann. Stat. 21, 1760-1779.
    • (1993) Ann. Stat. , vol.21 , pp. 1760-1779
    • Neuhaus, N.1
  • 21
    • 0015973902 scopus 로고
    • On the Behrens-Fisher problem
    • Pfanzagl, J. (1974). On the Behrens-Fisher problem. Biometrica, 61, 39-47.
    • (1974) Biometrica , vol.61 , pp. 39-47
    • Pfanzagl, J.1
  • 24
    • 0001691818 scopus 로고
    • On the behaviour of randomization test without a group invariant assumption
    • Romano, J.P. (1990). On the behaviour of randomization test without a group invariant assumption. J. Amer. Statist. Assoc., 85, 411, 686-692.
    • (1990) J. Amer. Statist. Assoc. , vol.85 , Issue.411 , pp. 686-692
    • Romano, J.P.1
  • 25
    • 0010956904 scopus 로고
    • Probabilities of type I error of the Welch test for the Behrens-Fisher problem
    • Wang, Y.Y. (1970). Probabilities of type I error of the Welch test for the Behrens-Fisher problem. J. Amer. Stat. Assoc., 66, 605-608.
    • (1970) J. Amer. Stat. Assoc. , vol.66 , pp. 605-608
    • Wang, Y.Y.1
  • 26
    • 0030519976 scopus 로고    scopus 로고
    • A new approach to equivalence assessment in standard comparative bioavailability trials by means of the Mann-Whitney statistic
    • Wellek, S. (1996). A new approach to equivalence assessment in standard comparative bioavailability trials by means of the Mann-Whitney statistic. Biom. J., 38, 6, 695-710.
    • (1996) Biom. J. , vol.38 , Issue.6 , pp. 695-710
    • Wellek, S.1
  • 27
    • 0015968862 scopus 로고
    • The two-sample trimmed t for unequal population variance
    • Yuen, K.K. (1974). The two-sample trimmed t for unequal population variance. Biometrika, 61, 165-170.
    • (1974) Biometrika , vol.61 , pp. 165-170
    • Yuen, K.K.1


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