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Volumn 3, Issue 4, 2006, Pages 351-374

Two separate effects of variance heterogeneity on the validity and power of significance tests of location

Author keywords

Heterogeneity of variance; Homogeneity of variance; Nonparametric test; Normal scores; Power; Skewed distribution; Student t test; Symmetric distribution; Type I error; Type II error; Van der Waerden test; Wilcoxon Mann Whitney test

Indexed keywords


EID: 33748707367     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2005.10.002     Document Type: Article
Times cited : (13)

References (28)
  • 1
    • 0142224780 scopus 로고
    • The effects of violation of assumptions underlying the t test
    • Boneau C.A. The effects of violation of assumptions underlying the t test. Psychological Bulletin 57 (1960) 49-64
    • (1960) Psychological Bulletin , vol.57 , pp. 49-64
    • Boneau, C.A.1
  • 2
    • 0038868682 scopus 로고
    • Heterogeneity of variance in experimental studies: A challenge to conventional interpretations
    • Byrk A.S., and Raudenbush S.J. Heterogeneity of variance in experimental studies: A challenge to conventional interpretations. Psychological Bulletin 104 (1987) 396-404
    • (1987) Psychological Bulletin , vol.104 , pp. 396-404
    • Byrk, A.S.1    Raudenbush, S.J.2
  • 5
    • 84970420568 scopus 로고
    • Consequences of failure to meet assumptions underlying analysis of variance and covariance
    • Glass G.V., Peckham P.D., and Sanders J.R. Consequences of failure to meet assumptions underlying analysis of variance and covariance. Review of Educational Research 42 (1972) 237-288
    • (1972) Review of Educational Research , vol.42 , pp. 237-288
    • Glass, G.V.1    Peckham, P.D.2    Sanders, J.R.3
  • 7
    • 0000270234 scopus 로고
    • The efficiency of some nonparametric competitors of the t test
    • Hodges J., and Lehmann E. The efficiency of some nonparametric competitors of the t test. Annals of Mathematical Statistics 27 (1956) 324-335
    • (1956) Annals of Mathematical Statistics , vol.27 , pp. 324-335
    • Hodges, J.1    Lehmann, E.2
  • 8
    • 0010490257 scopus 로고
    • Contributions to the theory of Student's t test as applied to the problem of two samples
    • Hsu P.L. Contributions to the theory of Student's t test as applied to the problem of two samples. Statistical Research Memoirs 2 (1938) 1-24
    • (1938) Statistical Research Memoirs , vol.2 , pp. 1-24
    • Hsu, P.L.1
  • 10
    • 0142078301 scopus 로고    scopus 로고
    • Trimming, transforming statistics, and bootstrapping: Circumventing the biasing effects of heteroscedasticity and nonnormality
    • Keselman H.J., Wilcox R.R., Othman A.R., and Fradette K. Trimming, transforming statistics, and bootstrapping: Circumventing the biasing effects of heteroscedasticity and nonnormality. Journal of Modern Applied Statistical Methods 1 (2002) 288-309
    • (2002) Journal of Modern Applied Statistical Methods , vol.1 , pp. 288-309
    • Keselman, H.J.1    Wilcox, R.R.2    Othman, A.R.3    Fradette, K.4
  • 11
    • 0040593605 scopus 로고
    • An empirical comparison of the ANOVA F test with alternatives which are more robust against heterogeneity of variance
    • Levy K.J. An empirical comparison of the ANOVA F test with alternatives which are more robust against heterogeneity of variance. Journal of Statistical Computation and Simulation 8 (1978) 49-57
    • (1978) Journal of Statistical Computation and Simulation , vol.8 , pp. 49-57
    • Levy, K.J.1
  • 12
    • 0000284806 scopus 로고
    • A convenient method for generating normal variables
    • Marsaglia G., and Bray T.A. A convenient method for generating normal variables. SIAM Review 6 (1964) 260-264
    • (1964) SIAM Review , vol.6 , pp. 260-264
    • Marsaglia, G.1    Bray, T.A.2
  • 14
    • 0041187734 scopus 로고
    • A Monte Carlo study comparing various two-sample tests for differences in means
    • Neave H.R., and Granger C.W.J. A Monte Carlo study comparing various two-sample tests for differences in means. Technometrics 10 (1968) 509-522
    • (1968) Technometrics , vol.10 , pp. 509-522
    • Neave, H.R.1    Granger, C.W.J.2
  • 15
    • 0029317305 scopus 로고
    • Tests that are robust against variance heterogeneity in k × 2 designs with unequal cell frequencies
    • Overall J.E., Atlas R.S., and Gibson J.M. Tests that are robust against variance heterogeneity in k × 2 designs with unequal cell frequencies. Psychological Reports 76 (1995) 011-1017
    • (1995) Psychological Reports , vol.76 , pp. 011-1017
    • Overall, J.E.1    Atlas, R.S.2    Gibson, J.M.3
  • 18
    • 0000017714 scopus 로고
    • Robustness of some procedures for the two-sample location problem
    • Pratt J.W. Robustness of some procedures for the two-sample location problem. Journal of the American Statistical Association 59 (1964) 665-680
    • (1964) Journal of the American Statistical Association , vol.59 , pp. 665-680
    • Pratt, J.W.1
  • 19
    • 0001497378 scopus 로고
    • Exact Type I error rates for robustness of Student's t test with unequal variances
    • Ramsey P.H. Exact Type I error rates for robustness of Student's t test with unequal variances. Journal of Educational Statistics 5 (1980) 337-349
    • (1980) Journal of Educational Statistics , vol.5 , pp. 337-349
    • Ramsey, P.H.1
  • 21
    • 0000684192 scopus 로고
    • Is the ANOVA F-test robust to variance heterogeneity when sample sizes are equal? An investigation via a coefficient of variation
    • Rogan J.C., and Keselman H.J. Is the ANOVA F-test robust to variance heterogeneity when sample sizes are equal? An investigation via a coefficient of variation. American Educational Research Journal 14 (1977) 493-498
    • (1977) American Educational Research Journal , vol.14 , pp. 493-498
    • Rogan, J.C.1    Keselman, H.J.2
  • 22
    • 84872636119 scopus 로고
    • An approximate distribution of estimates of variance components
    • Satterthwaite F.E. An approximate distribution of estimates of variance components. Biometrics Bulletin 2 (1946) 110-114
    • (1946) Biometrics Bulletin , vol.2 , pp. 110-114
    • Satterthwaite, F.E.1
  • 24
    • 0000664498 scopus 로고
    • Order tests for the two sample problem and their power
    • Proceedings Koninklijke Nederlandse Akademie van Wetenschappen (A)
    • van der Waerden B.L. Order tests for the two sample problem and their power. Proceedings Koninklijke Nederlandse Akademie van Wetenschappen (A). Indagationes Mathematical 14 55 (1952) 453-458
    • (1952) Indagationes Mathematical 14 , vol.55 , pp. 453-458
    • van der Waerden, B.L.1
  • 25
    • 0000576729 scopus 로고
    • The significance of the difference between two means when the population variances are unequal
    • Welch B.L. The significance of the difference between two means when the population variances are unequal. Biometrika 29 (1938) 350-362
    • (1938) Biometrika , vol.29 , pp. 350-362
    • Welch, B.L.1
  • 27
    • 0004518725 scopus 로고
    • Note on the Wilcoxon-Mann-Whitney statistic
    • Zaremba S.K. Note on the Wilcoxon-Mann-Whitney statistic. Annals of Mathematical Statistics 36 (1965) 1058-1060
    • (1965) Annals of Mathematical Statistics , vol.36 , pp. 1058-1060
    • Zaremba, S.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.