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Volumn 16, Issue 1-2, 1996, Pages 5-48

A new graphical test for multivariate normality

Author keywords

Goodness of fit tests; Monte Carlo studies; Multivariate normality; Order statistics; Performance evaluation

Indexed keywords

GRAPHIC METHODS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; MONTE CARLO METHODS; VECTORS;

EID: 0030405616     PISSN: 01966324     EISSN: None     Source Type: Journal    
DOI: 10.1080/01966324.1996.10737410     Document Type: Article
Times cited : (6)

References (50)
  • 1
    • 0001701886 scopus 로고
    • F-Probability Plot and its Application to Multivariate Normality. Commun
    • Ahn, S. K. (1992) F-Probability Plot and its Application to Multivariate Normality. Commun. Statist. (Theory and Methods). Vol 21, 997-1023.
    • (1992) Statist (Theory and Methods) , vol.21 , pp. 997-1023
    • Ahn, S.K.1
  • 2
    • 0003648234 scopus 로고
    • An Introduction to Multivariate Statistical Analysis
    • Anderson, T. W. (1984) “An Introduction to Multivariate Statistical Analysis”. Wiley. New York.
    • (1984) Wiley. New York
    • Anderson, T.W.1
  • 5
    • 0000075250 scopus 로고
    • Tests for Multivariate Normality with Pearson Alternatives. Commun
    • Berra, A. and S. John (1983). Tests for Multivariate Normality with Pearson Alternatives. Commun. Statist. (Theory and Methods). Vol 12(1), 103-117.
    • (1983) Statist (Theory and Methods) , vol.12 , Issue.1 , pp. 103-117
    • Berra, A.1    John, S.2
  • 6
    • 0000133998 scopus 로고
    • An Analysis of Transformations
    • Box, C. and D. R. Cox (1964). An Analysis of Transformations. Jour. Royal Stat. Soc. Vol B-26, 211-252.
    • (1964) Jour. Royal Stat. Soc , vol.B , Issue.26 , pp. 211-252
    • Box, C.1    Cox, D.R.2
  • 7
    • 0000244379 scopus 로고
    • On the Theory of Elliptically Contoured Distributions
    • Cambanis, S.; Huang, S. and G. Simons (1981). On the Theory of Elliptically Contoured Distributions. Jour. Multivar. Annal. Vol 11, 368-385.
    • (1981) Jour. Multivar. Annal , vol.11 , pp. 368-385
    • Cambanis, S.1    Huang, S.2    Simons, G.3
  • 8
    • 27844486065 scopus 로고
    • (1981). A Re-Appraisal of Tests for Normality
    • Chmielewski, M. A. (1981). A Re-Appraisal of Tests for Normality. Comm. Stat. (Theory and Methods). Vol A10(20), 2005-2014. 1981.
    • (1981) Comm. Stat. (Theory and Methods) , vol.A10 , Issue.20 , pp. 2005-2014
    • Chmielewski, M.A.1
  • 9
    • 0017892070 scopus 로고
    • Testing Multivariate Normality
    • Cox, D. R. and N. J. H. Small (1978). Testing Multivariate Normality. Biometrica Vol 65, 263-272.
    • (1978) Biometrica , vol.65 , pp. 263-272
    • Cox, D.R.1    Small, N.J.H.2
  • 10
    • 0000012684 scopus 로고
    • A Multivariate Generalization of Quantile-Quantile Plots
    • Easton, G. S. and R. E. McCulloch (1990). A Multivariate Generalization of Quantile-Quantile Plots. JASA. Vol 85, 376-386.
    • (1990) JASA , vol.85 , pp. 376-386
    • Easton, G.S.1    McCulloch, R.E.2
  • 11
    • 0009287465 scopus 로고
    • A test for Goodness-of-Fit Based on an Empirical Probability Measure
    • Foutz, R. V. (1980) A test for Goodness-of-Fit Based on an Empirical Probability Measure. Annals of Statistics. Vol 8(5), 989-1001.
    • (1980) Annals of Statistics , vol.8 , Issue.5 , pp. 989-1001
    • Foutz, R.V.1
  • 12
    • 27844520378 scopus 로고
    • An Empirical Investigation of the Properties of a New GOF Test. Jour. Statist. Comput
    • Franke, R. and T. Jayachandran (1986). An Empirical Investigation of the Properties of a New GOF Test. Jour. Statist. Comput. Simul. Vol 16, 175-187.
    • (1986) Simul , vol.16 , pp. 175-187
    • Franke, R.1    Jayachandran, T.2
  • 13
    • 0002954125 scopus 로고
    • Robust Estimates, Residuals and Outlier Detection With Multiresponse Data
    • Gnanadesikan, R. and J. R. Kettenring (1972). Robust Estimates, Residuals and Outlier Detection With Multiresponse Data. Biometrics. Vol 28, 81-124.
    • (1972) Biometrics , vol.28 , pp. 81-124
    • Gnanadesikan, R.1    Kettenring, J.R.2
  • 16
    • 0001934955 scopus 로고
    • A New Test for Multivariate Normality and Homoscedasticity
    • Hawkins, D. M. (1981) A New Test for Multivariate Normality and Homoscedasticity. Technometrics. Vol 23, 105-110.
    • (1981) Technometrics , vol.23 , pp. 105-110
    • Hawkins, D.M.1
  • 17
    • 51249184012 scopus 로고
    • On a Measure of Multivariate Skewness and a Test for Multivariate Normality
    • Isogai, T. (1982) On a Measure of Multivariate Skewness and a Test for Multivariate Normality. Ann. Inst. Statist. Math. Vol 34, 531-541.
    • (1982) Ann. Inst. Statist. Math , vol.34 , pp. 531-541
    • Isogai, T.1
  • 18
  • 19
    • 51249179014 scopus 로고
    • Some Extensions of Halden’s Multivariate Median and its Application
    • Isogai, T. (1985) Some Extensions of Halden’s Multivariate Median and its Application. Ann. Inst. Statist. Math. Vol 37, 289-301.
    • (1985) Ann. Inst. Statist. Math , vol.37 , pp. 289-301
    • Isogai, T.1
  • 20
    • 0012942840 scopus 로고
    • On Using Influence Functions for Testing Multivariate Normality
    • Isogai, T. (1989) On Using Influence Functions for Testing Multivariate Normality. Ann. Inst. Statist. Math. Vol 41(1), 169-186.
    • (1989) Ann. Inst. Statist. Math , vol.41 , Issue.1 , pp. 169-186
    • Isogai, T.1
  • 22
    • 0021654901 scopus 로고
    • Generation of Continuous Multivariate Distributions for Statistical Applications
    • Johnson, M. E., Chiang, W. and J. S. Ramberg (1984). Generation of Continuous Multivariate Distributions for Statistical Applications. Amer. Jour. Math. Manag. Sci. Vol 4, 225-248.
    • (1984) Amer. Jour. Math. Manag. Sci , vol.4 , pp. 225-248
    • Johnson, M.E.1    Chiang, W.2    Ramberg, J.S.3
  • 24
    • 27844487953 scopus 로고
    • A Monte Carlo Method for Foutz GOF Test
    • Jhun, M. and P. L. Leung (1988). A Monte Carlo Method for Foutz GOF Test. Jour. Statist. Comput. Simul. Vol 29, 309-316.
    • (1988) Jour. Statist. Comput. Simul , vol.29 , pp. 309-316
    • Jhun, M.1    Leung, P.L.2
  • 25
    • 0001577997 scopus 로고
    • Assessing Multivariate Normality: A Compendium
    • Koziol, J. A. (1986) Assessing Multivariate Normality: A Compendium. Comm. Stat. Vol 15, 2763-2783.
    • (1986) Comm. Stat , vol.15 , pp. 2763-2783
    • Koziol, J.A.1
  • 26
    • 0000182707 scopus 로고
    • A Class of Invariant Procedures for Assessing Multivariate Normality
    • Koziol, J. A. (1982) A Class of Invariant Procedures for Assessing Multivariate Normality. Biometrika. Vol 69, 423-427.
    • (1982) Biometrika , vol.69 , pp. 423-427
    • Koziol, J.A.1
  • 27
    • 0012941103 scopus 로고
    • On Assessing Multivariate Normality
    • Koziol, J. A. (1983) On Assessing Multivariate Normality. JRRS-B. Vol 45, 358-361.
    • (1983) JRRS-B , vol.45 , pp. 358-361
    • Koziol, J.A.1
  • 28
    • 3042679871 scopus 로고
    • Testing Multivariate Normality by Simulation
    • Loh W. (1986) Testing Multivariate Normality by Simulation. Jour. Statist. Comput. Simul. Vol 26, 243-252.
    • (1986) Jour. Statist. Comput. Simul , vol.26 , pp. 243-252
    • Loh, W.1
  • 29
    • 57049106953 scopus 로고
    • On Tests for Multivariate Normality
    • Malkovich, J. F. and A. A. Afifi (1973). On Tests for Multivariate Normality. JASA. Vol 68, 176-179.
    • (1973) JASA , vol.68 , pp. 176-179
    • Malkovich, J.F.1    Afifi, A.A.2
  • 30
    • 0000199992 scopus 로고
    • Two Statistics for Testing Multivariate Normality
    • Machado, S. G. (1983) Two Statistics for Testing Multivariate Normality. Biometrika. Vol 70, 713-718.
    • (1983) Biometrika , vol.70 , pp. 713-718
    • Machado, S.G.1
  • 32
    • 0000904196 scopus 로고
    • Applications of Some Measures of Multivariate Skewness and Kurtosis
    • Mardia, K. V. (1974) Applications of Some Measures of Multivariate Skewness and Kurtosis in Testing Normality and Robustness Study. Sankhya. Vol B-36(2), 114-118.
    • (1974) Sankhya , vol.B , Issue.36-2 , pp. 114-118
    • Mardia, K.V.1
  • 33
    • 2942611661 scopus 로고
    • Measures of Multivariate Skewness and Kurtosis With Applications
    • Mardia K. V. (1970) Measures of Multivariate Skewness and Kurtosis With Applications. Biometrika. Vol 57, 519-530.
    • (1970) Biometrika , vol.57 , pp. 519-530
    • Mardia, K.V.1
  • 34
    • 0016458841 scopus 로고
    • Assessment of Multinormality and the Robustness of Hotelling T Test
    • Mardia, K. V. (1975) Assessment of Multinormality and the Robustness of Hotelling T Test. Appl. Statist. Vol 24, 163-171.
    • (1975) Appl. Statist , vol.24 , pp. 163-171
    • Mardia, K.V.1
  • 35
    • 70350340104 scopus 로고
    • Tests of Univariate and Multivariate Normality
    • Krishnaiah, Ed. North Holland, Amsterdam
    • Mardia, K. V. (1980) Tests of Univariate and Multivariate Normality. In “Handbook of Statistics”, Krishnaiah, Ed. North Holland, Amsterdam. Vol. 1, 279-320.
    • (1980) Handbook of Statistics , vol.1 , pp. 279-320
    • Mardia, K.V.1
  • 36
    • 0000107573 scopus 로고
    • Descriptive Statistics for Multivariate Distritutions
    • Oja, H., (1983) Descriptive Statistics for Multivariate Distritutions. Statistics and Probability Letters Vol 1, 327-332.
    • (1983) Statistics and Probability Letters , vol.1 , pp. 327-332
    • Oja, H.1
  • 37
    • 26344478873 scopus 로고
    • A General Algorithm for Univariate and Multivariate Goodness of Fit Tests Based on Graphical Representation
    • Ozturk, A. (1990) A General Algorithm for Univariate and Multivariate Goodness of Fit Tests Based on Graphical Representation. Communications in Statistics (Theory and Methods). Vol 20 (10).
    • (1990) Communications in Statistics (Theory and Methods) , vol.20 , Issue.10
    • Ozturk, A.1
  • 38
    • 84985657527 scopus 로고
    • A New Statistical Goodness-of-fit Test Based on Graphical Representation
    • Ozturk, A. and E. J. Dudewicz (1992). A New Statistical Goodness-of-fit Test Based on Graphical Representation. Biometrical Journal. Vol 34(4), 403-427.
    • (1992) Biometrical Journal , vol.34 , Issue.4 , pp. 403-427
    • Ozturk, A.1    Dudewicz, E.J.2
  • 39
    • 27844523203 scopus 로고
    • A New Multivariate Goodness of Fit Procedure with Graphical Applications
    • Ozturk, A. and J. L. Romeu (1992). A New Multivariate Goodness of Fit Procedure with Graphical Applications. Communications in Statistics (Simulation). Vol 21(1), 15-34.
    • (1992) Communications in Statistics (Simulation) , vol.21 , Issue.1 , pp. 15-34
    • Ozturk, A.1    Romeu, J.L.2
  • 40
    • 27844460589 scopus 로고
    • Development and Evaluation of a General Procedure for Assessing Multivariate Normality
    • Syracuse University. Also published as Technical Report No, 9022, CASE Center of Syracuse University, Syracuse, NY 13244
    • Romeu, J. L. (1990)“Development and Evaluation of a General Procedure for Assessing Multivariate Normality”. Ph.D. Dissertation. Syracuse University. Also published as Technical Report No. 9022, CASE Center of Syracuse University, Syracuse, NY 13244.
    • (1990) Ph.D. Dissertation
    • Romeu, J.L.1
  • 43
    • 0002536134 scopus 로고
    • A Comparative Study of Goodness-of-Fit Tests for Multivariate Normality
    • Romeu, J. L. and A. Ozturk (1993). A Comparative Study of Goodness-of-Fit Tests for Multivariate Normality. Journal of Mult. Anal. Vol 46(2), 309-334.
    • (1993) Journal of Mult. Anal , vol.46 , Issue.2 , pp. 309-334
    • Romeu, J.L.1    Ozturk, A.2
  • 44
    • 0000308754 scopus 로고
    • On a Heuristic Method of Test Construction and its Use in Multivariate Analysis
    • Roy, S. N. (1953). On a Heuristic Method of Test Construction and its Use in Multivariate Analysis. Annals of Math. Stat. Vol 24, 220-238.
    • (1953) Annals of Math. Stat , vol.24 , pp. 220-238
    • Roy, S.N.1
  • 45
    • 0020984686 scopus 로고
    • Some Techniques for Assessing Multivariate Normality Based on the Shapiro Wilk W
    • Royston, J. P. (1983) Some Techniques for Assessing Multivariate Normality Based on the Shapiro Wilk W. Applied Statistics. Vol 32, 121-133.
    • (1983) Applied Statistics , vol.32 , pp. 121-133
    • Royston, J.P.1
  • 46
    • 84947367867 scopus 로고
    • A Comparative Study of Various Tests for Normality
    • Shapiro, S. S., Wilk, M. B. and H. J. Chen (1969). A Comparative Study of Various Tests for Normality. JASA Vol 63, 1343-1372.
    • (1969) JASA , vol.63 , pp. 1343-1372
    • Shapiro, S.S.1    Wilk, M.B.2    Chen, H.J.3
  • 47
    • 0000898845 scopus 로고
    • An Analysis of Variance Test for Normality
    • Shapiro, S. S. and M. B. Wilk (1965). An Analysis of Variance Test for Normality. Biometrika. Vol 52, 591-611.
    • (1965) Biometrika , vol.52 , pp. 591-611
    • Shapiro, S.S.1    Wilk, M.B.2
  • 48
    • 0010914214 scopus 로고
    • Marginal Skewness and Kurtosis in Testing Multivariate Normality
    • Small, N. J. H. (1980) Marginal Skewness and Kurtosis in Testing Multivariate Normality. Applied Statistics. Vol 29, 85-87.
    • (1980) Applied Statistics , vol.29 , pp. 85-87
    • Small, N.J.H.1
  • 49
    • 0013037620 scopus 로고
    • A Measure of Skewness and Kurtosis and a Graphical Method for Assessing Multivariate Normality
    • Srivastava, M. S. (1984) A Measure of Skewness and Kurtosis and a Graphical Method for Assessing Multivariate Normality. Statistics and Probability Letters. Vol 2, 263-267.
    • (1984) Statistics and Probability Letters , vol.2 , pp. 263-267
    • Srivastava, M.S.1


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