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Volumn 53, Issue 11, 2009, Pages 3883-3891

A generalized Shapiro-Wilk W statistic for testing high-dimensional normality

Author keywords

[No Author keywords available]

Indexed keywords

COMPETITIVE POWER; HIGH-DIMENSIONAL; MONTE CARLO STUDY; NON-NORMAL DATA; SAMPLE SIZES; SMALL SAMPLE SIZE; SPHERICAL DISTRIBUTION; TYPE I ERROR RATE; UNIVARIATE;

EID: 66049116306     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2009.04.016     Document Type: Article
Times cited : (37)

References (28)
  • 3
    • 0010856550 scopus 로고
    • Multivariate β-generalized normal distributions
    • Goodman C.R., and Kotz S. Multivariate β-generalized normal distributions. J. Multivariate Anal. 3 (1973) 204-219
    • (1973) J. Multivariate Anal. , vol.3 , pp. 204-219
    • Goodman, C.R.1    Kotz, S.2
  • 4
    • 0036823683 scopus 로고    scopus 로고
    • Invariant tests for multivariate normality: A critical review
    • Henze N. Invariant tests for multivariate normality: A critical review. Statist. Papers 43 (2002) 467-506
    • (2002) Statist. Papers , vol.43 , pp. 467-506
    • Henze, N.1
  • 5
    • 0011557931 scopus 로고
    • Diagnostic limitations of skewness coefficients in assessing departures from univariate and multivariate normality
    • Horswell R.L., and Looney S.W. Diagnostic limitations of skewness coefficients in assessing departures from univariate and multivariate normality. Comm. Statist. Theory Methods (A) 22 2 (1993) 437-459
    • (1993) Comm. Statist. Theory Methods (A) , vol.22 , Issue.2 , pp. 437-459
    • Horswell, R.L.1    Looney, S.W.2
  • 6
    • 39049139625 scopus 로고
    • Systems of frequency curves generated by methods of translation
    • Johnson N.L. Systems of frequency curves generated by methods of translation. Biometrika 36 (1948) 149-176
    • (1948) Biometrika , vol.36 , pp. 149-176
    • Johnson, N.L.1
  • 8
    • 0029843085 scopus 로고    scopus 로고
    • Exact t and F tests for analyzing studies with multiple endpoints
    • Läuter J. Exact t and F tests for analyzing studies with multiple endpoints. Biometrics 52 (1996) 964-970
    • (1996) Biometrics , vol.52 , pp. 964-970
    • Läuter, J.1
  • 9
    • 0042688770 scopus 로고    scopus 로고
    • New multivariate tests for data with an inherent structure
    • Läuter J., Glimm E., and Kropf S. New multivariate tests for data with an inherent structure. Biometrical J. 38 1 (1996) 5-23
    • (1996) Biometrical J. , vol.38 , Issue.1 , pp. 5-23
    • Läuter, J.1    Glimm, E.2    Kropf, S.3
  • 10
    • 0001484973 scopus 로고
    • Asymptotic distribution of the Shapiro-Wilk W for testing for normality
    • Leslie J.R., Stephens M.A., and Fotopoulos S. Asymptotic distribution of the Shapiro-Wilk W for testing for normality. Ann. Statist. 14 (1986) 1497-1506
    • (1986) Ann. Statist. , vol.14 , pp. 1497-1506
    • Leslie, J.R.1    Stephens, M.A.2    Fotopoulos, S.3
  • 11
    • 10644236099 scopus 로고    scopus 로고
    • Characterization-based Q-Q plots for testing multinormality
    • Liang J., Pan W., and Yang Z.H. Characterization-based Q-Q plots for testing multinormality. Statist. Probab. Lett. 70 (2004) 183-190
    • (2004) Statist. Probab. Lett. , vol.70 , pp. 183-190
    • Liang, J.1    Pan, W.2    Yang, Z.H.3
  • 12
    • 0000835483 scopus 로고    scopus 로고
    • Testing multinormality based on low-dimensional projection
    • Liang J., Li R., Fang H., and Fang K.T. Testing multinormality based on low-dimensional projection. J. Statist. Plann. Inference. 86 (2000) 129-141
    • (2000) J. Statist. Plann. Inference. , vol.86 , pp. 129-141
    • Liang, J.1    Li, R.2    Fang, H.3    Fang, K.T.4
  • 13
    • 58549088516 scopus 로고    scopus 로고
    • Generalized F-tests for the multivariate normal mean
    • Liang J., and Tang M.-L. Generalized F-tests for the multivariate normal mean. Comput. Statist. Data Anal. 53 (2009) 1177-1190
    • (2009) Comput. Statist. Data Anal. , vol.53 , pp. 1177-1190
    • Liang, J.1    Tang, M.-L.2
  • 14
    • 21844509888 scopus 로고
    • How to use test for univariate normality to assess multivariate normality
    • Looney S.W. How to use test for univariate normality to assess multivariate normality. Amer. Statist. 49 (1995) 64-70
    • (1995) Amer. Statist. , vol.49 , pp. 64-70
    • Looney, S.W.1
  • 16
    • 2942611661 scopus 로고
    • Measures of multivariate skewness and kurtosis with applications
    • Mardia K.V. Measures of multivariate skewness and kurtosis with applications. Biometrika 51 (1970) 519-530
    • (1970) Biometrika , vol.51 , pp. 519-530
    • Mardia, K.V.1
  • 17
    • 0000904196 scopus 로고
    • Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies
    • Mardia K.V. Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies. Sankhya (B) 36 (1974) 115-128
    • (1974) Sankhya (B) , vol.36 , pp. 115-128
    • Mardia, K.V.1
  • 18
    • 70350340104 scopus 로고
    • Krishnaiah P.R. (Ed), North-Holland Publishing Company
    • Mardia K.V. Tests of univariate and multivariate normality. In: Krishnaiah P.R. (Ed). Handbook of Statistics vol. 1 (1980), North-Holland Publishing Company 279-320
    • (1980) Handbook of Statistics , vol.1 , pp. 279-320
    • Mardia, K.V.1
  • 19
    • 3042587293 scopus 로고    scopus 로고
    • An appraisal and bibliography of tests for multivariate normality
    • Mecklin C.J., and Mundfrom D.J. An appraisal and bibliography of tests for multivariate normality. Internat. Statist. Rev. 72 (2004) 123-138
    • (2004) Internat. Statist. Rev. , vol.72 , pp. 123-138
    • Mecklin, C.J.1    Mundfrom, D.J.2
  • 20
    • 0010809464 scopus 로고
    • Some p-variate adaptation of the Shapiro-Wilk test of normality
    • Mudholkar G.S., and Lin C.T. Some p-variate adaptation of the Shapiro-Wilk test of normality. Comm. Statist. Theory Methods (A) 24 4 (1995) 953-985
    • (1995) Comm. Statist. Theory Methods (A) , vol.24 , Issue.4 , pp. 953-985
    • Mudholkar, G.S.1    Lin, C.T.2
  • 21
    • 0000541109 scopus 로고
    • An extension of Shapiro-Wilk's W test for normality to large samples
    • Royston J.P. An extension of Shapiro-Wilk's W test for normality to large samples. Appl. Statist. 31 (1982) 115-124
    • (1982) Appl. Statist. , vol.31 , pp. 115-124
    • Royston, J.P.1
  • 22
    • 0020984686 scopus 로고
    • Some techniques for assessing multivariate normality based on the Shapira-Wilk W
    • Royston J.P. Some techniques for assessing multivariate normality based on the Shapira-Wilk W. Appl. Statist. 32 (1983) 121-133
    • (1983) Appl. Statist. , vol.32 , pp. 121-133
    • Royston, J.P.1
  • 23
    • 0000898845 scopus 로고
    • An analysis of variance test for normality (complete samples)
    • Shapiro S.S., and Wilk M.B. An analysis of variance test for normality (complete samples). Biometrika 52 (1965) 591-611
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 24
    • 0000313230 scopus 로고
    • Approximations for the null distribution of the W statistic
    • Shapiro S.S., and Wilk M.B. Approximations for the null distribution of the W statistic. Technometrics 10 (1968) 861-866
    • (1968) Technometrics , vol.10 , pp. 861-866
    • Shapiro, S.S.1    Wilk, M.B.2
  • 25
    • 0010914214 scopus 로고
    • Marginal skewness and kurtosis in testing multivariate normality
    • Small N.J.H. Marginal skewness and kurtosis in testing multivariate normality. Appl. Statist. 29 (1980) 85-87
    • (1980) Appl. Statist. , vol.29 , pp. 85-87
    • Small, N.J.H.1
  • 26
    • 38249035999 scopus 로고
    • On assessing multivariate normality based on Shapiro-Wilk W statistic
    • Srivastava M.S., and Hui T.K. On assessing multivariate normality based on Shapiro-Wilk W statistic. Statist. Probab. Lett. 5 (1987) 15-18
    • (1987) Statist. Probab. Lett. , vol.5 , pp. 15-18
    • Srivastava, M.S.1    Hui, T.K.2
  • 27
    • 67649672117 scopus 로고    scopus 로고
    • Khattree R., and Rao C.R. (Eds), Elsevier, North-Holland
    • Srivastava D.K., and Mudholkar G.S. Goodness-of-fit tests for univariate and multivariate normal models. In: Khattree R., and Rao C.R. (Eds). Handbook of Statistics Vol. 22 (2003), Elsevier, North-Holland 869-905
    • (2003) Handbook of Statistics , vol.22 , pp. 869-905
    • Srivastava, D.K.1    Mudholkar, G.S.2
  • 28
    • 7044263314 scopus 로고    scopus 로고
    • Testing multivariate normality in incomplete data of small sample size
    • Tan M., Fang H.B., Tian G.L., and Wei G. Testing multivariate normality in incomplete data of small sample size. J. Multivariate Anal. 93 (2005) 164-179
    • (2005) J. Multivariate Anal. , vol.93 , pp. 164-179
    • Tan, M.1    Fang, H.B.2    Tian, G.L.3    Wei, G.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.