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Volumn 5, Issue 2, 2009, Pages 60-70

Performance of Monte Carlo permutation and approximate tests for multivariate means comparisons with small sample sizes when parametric assumptions are violated

Author keywords

Assumption violations; MANOVA; Permutation tests; Pillai's Trace; Roy's Greatest Root

Indexed keywords


EID: 69949085249     PISSN: 16141881     EISSN: 16142241     Source Type: Journal    
DOI: 10.1027/1614-2241.5.2.60     Document Type: Article
Times cited : (9)

References (33)
  • 1
    • 0040820112 scopus 로고
    • Robustness of Yao's, James' and Johansen's tests under variance-covariance heteroscedasticity and nonnormality
    • Algina, J., Oshima, T. C., & Tang, K. L. (1991). Robustness of Yao's, James' and Johansen's tests under variance-covariance heteroscedasticity and nonnormality. Journal of Educational Statistics, 16, 125-139.
    • (1991) Journal of Educational Statistics , vol.16 , pp. 125-139
    • Algina, J.1    Oshima, T.C.2    Tang, K.L.3
  • 5
    • 0030536838 scopus 로고    scopus 로고
    • New test statistics for MANOVA/ Descriptive discriminant analysis
    • Coombs, W. T., & Algina, J. (1996). New test statistics for MANOVA/ Descriptive discriminant analysis. Educational and Psychological Measurement, 56, 382-402.
    • (1996) Educational and Psychological Measurement , vol.56 , pp. 382-402
    • Coombs, W.T.1    Algina, J.2
  • 7
    • 85167632541 scopus 로고    scopus 로고
    • Erdfelder, E. (1981). Multivariate Rangvarianzanalyse: Ein non-parametrisches Analogon zur ein- und mehrfaktoriellen MANOVA [Multivariate rank variance analysis: A nonparametric analogue for single and multivariate MANOVAs]. Trierer Psychologische Berichte, 8. Trier, German: Fachbereich 1-Psychologie der Universitat Trier.
    • Erdfelder, E. (1981). Multivariate Rangvarianzanalyse: Ein non-parametrisches Analogon zur ein- und mehrfaktoriellen MANOVA [Multivariate rank variance analysis: A nonparametric analogue for single and multivariate MANOVAs]. Trierer Psychologische Berichte, 8. Trier, German: Fachbereich 1-Psychologie der Universitat Trier.
  • 9
    • 33745848575 scopus 로고    scopus 로고
    • Comparison of the performance of the nonparametric and parametric MANOVA test statistics when assumptions are violated
    • Finch, H. (2005). Comparison of the performance of the nonparametric and parametric MANOVA test statistics when assumptions are violated. Methodology, 1, 27-38.
    • (2005) Methodology , vol.1 , pp. 27-38
    • Finch, H.1
  • 10
    • 33644754593 scopus 로고    scopus 로고
    • Misclassification rates for four methods of group classification: Impact of predictor distribution, covariance inequality, effect size, sample size and group
    • Finch, H., & Schneider, M. K. (2006). Misclassification rates for four methods of group classification: Impact of predictor distribution, covariance inequality, effect size, sample size and group. Educational and Psychological Measurement, 66(2), 240-257.
    • (2006) Educational and Psychological Measurement , vol.66 , Issue.2 , pp. 240-257
    • Finch, H.1    Schneider, M.K.2
  • 11
    • 31244432886 scopus 로고    scopus 로고
    • Type I error control of two-group multivariate tests on means under conditions of heterogeneous correlation structure and varied multivariate distributions
    • Fouladi, R. T., & Yockey, R. D. (2002). Type I error control of two-group multivariate tests on means under conditions of heterogeneous correlation structure and varied multivariate distributions. Communications in Statistics - Simulation and computation, 31, 360-378.
    • (2002) Communications in Statistics - Simulation and computation , vol.31 , pp. 360-378
    • Fouladi, R.T.1    Yockey, R.D.2
  • 14
    • 0033095630 scopus 로고    scopus 로고
    • Simulating correlated multivariate nonnormal distributions: Extending the Fleishman power method
    • Headrick, T. C., & Sawilowsky, S. S. (1999). Simulating correlated multivariate nonnormal distributions: Extending the Fleishman power method. Psychometrika, 64, 25-35.
    • (1999) Psychometrika , vol.64 , pp. 25-35
    • Headrick, T.C.1    Sawilowsky, S.S.2
  • 16
    • 0002619741 scopus 로고
    • Tests of linear hypotheses in univariate and multivariate analysis when the ratio of the population variances are unknown
    • James, G. S. (1954). Tests of linear hypotheses in univariate and multivariate analysis when the ratio of the population variances are unknown. Biometrika, 41, 19-43.
    • (1954) Biometrika , vol.41 , pp. 19-43
    • James, G.S.1
  • 17
    • 0018886163 scopus 로고
    • The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression
    • Johansen, S. (1980). The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression. Biometrika, 67, 85-92.
    • (1980) Biometrika , vol.67 , pp. 85-92
    • Johansen, S.1
  • 19
    • 0005144720 scopus 로고
    • A multivariate Kruskal-Wallis test with post hoc procedures
    • Katz, B. M., & McSweeney, M. (1980). A multivariate Kruskal-Wallis test with post hoc procedures. Multivariate Behavioral Research, 15, 281-297.
    • (1980) Multivariate Behavioral Research , vol.15 , pp. 281-297
    • Katz, B.M.1    McSweeney, M.2
  • 20
    • 0040820109 scopus 로고
    • 2, W, and R
    • 2, W, and R. Biometrika, 59, 215-216.
    • (1972) Biometrika , vol.59 , pp. 215-216
    • Korin, B.P.1
  • 21
    • 0039408328 scopus 로고
    • Asymptotic formulae for the distribution of a multivariate test statistic: Power comparisons of certain multivariate tests
    • Lee, Y.-S. (1971). Asymptotic formulae for the distribution of a multivariate test statistic: Power comparisons of certain multivariate tests. Biometrika, 58, 647-651.
    • (1971) Biometrika , vol.58 , pp. 647-651
    • Lee, Y.-S.1
  • 22
    • 84919348797 scopus 로고
    • Comparative robustness of six tests in multivariate analysis of variance
    • Olson, C. L. (1974). Comparative robustness of six tests in multivariate analysis of variance. Journal of the American Statistical Association, 69, 894-908.
    • (1974) Journal of the American Statistical Association , vol.69 , pp. 894-908
    • Olson, C.L.1
  • 23
    • 0014099122 scopus 로고
    • Power comparisons of tests of two multivariate hypotheses based on four criteria
    • Pillai, K. C. S., & Jayachandran, K. (1967). Power comparisons of tests of two multivariate hypotheses based on four criteria. Biometrika, 54, 195-210.
    • (1967) Biometrika , vol.54 , pp. 195-210
    • Pillai, K.C.S.1    Jayachandran, K.2
  • 26
    • 85167631932 scopus 로고    scopus 로고
    • SAS Institute, 2004, SAS version 9.1.3. Cary, NC: SAS Institute Inc
    • SAS Institute. (2004). SAS version 9.1.3. Cary, NC: SAS Institute Inc.
  • 27
    • 0032350750 scopus 로고    scopus 로고
    • MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts
    • Sheehan-Holt, J. K. (1998). MANOVA simultaneous test procedures: The power and robustness of restricted multivariate contrasts. Educational and Psychological Measurement, 58, 861-881.
    • (1998) Educational and Psychological Measurement , vol.58 , pp. 861-881
    • Sheehan-Holt, J.K.1
  • 32
    • 0001146516 scopus 로고
    • An approximate degrees of freedom solution to the multivariate Behrens-Fisher problem
    • Yao, Y. (1965). An approximate degrees of freedom solution to the multivariate Behrens-Fisher problem. Biometrika, 52, 139-147.
    • (1965) Biometrika , vol.52 , pp. 139-147
    • Yao, Y.1
  • 33
    • 0021950090 scopus 로고
    • Nonparametric one-way multivariate analysis of variance: A computational approach based on the Pillai-Bartlett Trace
    • Zwick, R. (1985). Nonparametric one-way multivariate analysis of variance: A computational approach based on the Pillai-Bartlett Trace. Psychological Bulletin, 97, 148-152.
    • (1985) Psychological Bulletin , vol.97 , pp. 148-152
    • Zwick, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.