Monte Carlo comparison of seven normality tests

References

• D'Agostino , R. B. and Stephens , M. A. 1986 . Goodness-of-Fit Techniques , New York : Marcel Dekker, Inc .
   Google Scholar
• Huber-Carol , C. , Balakrishnan , N. , Nikulin , M. S. and Mesbah , M. 2002 . Goodness-of-Fit Tests and Model Validity , Boston, Basel, , Berlin : Birkhäuser .
   Google Scholar
• Li , G. and Papadopoulos , A. 2002 . A note on goodness of fit test using moments . Statistica , 62 ( 1 ) : 72 – 86 .
   Google Scholar
• Thode , H. Jr. 2002 . Testing for Normality , New York : Marcel Dekker .
   Google Scholar
• Zhang , C. and Cheng , B. 2003 . Binning methodology for nonparametric goodness-of-fit test . J. Stat. Comput. Simul. , 73 : 71 – 82 .
   Web of Science ®Google Scholar
• Steele , M. and Chaseling , J. 2006 . Powers of discrete goodness-of-fit test statistics for a uniform null against a selection of alternative distributions . Commun. Stat. Simul. Comput. , 35 : 1067 – 1075 .
   Web of Science ®Google Scholar
• Jager , L. and Wellner , J. A. 2007 . Goodness-of-fit tests via phi-divergences . Ann. Stat. , 35 ( 5 ) : 2018 – 2053 .
   Web of Science ®Google Scholar
• Raschke , M. F. 2009 . The biased transformation and its application in goodness-of-fit tests for the beta and gamma distribution . Commun. Stat. Simul. Comput. , 38 : 1870 – 1890 .
   Web of Science ®Google Scholar
• Zhao , J. , Xu , X. and Ding , X. 2009 . Some new goodness-of-fit tests based on stochastic sample quantiles . Commun. Stat. Simul. Comput. , 38 : 571 – 589 .
   Web of Science ®Google Scholar
• Mardia , K. V. 1980 . “ Tests of univariate and multivariate normality ” . In Handbook of Statistics 4 , Edited by: Krishnaiah , P. R. Amsterdam : North-Holland .
   Google Scholar
• Stephens , M. A. 1974 . EDF statistics for goodness of fit and some comparisons . J. Am. Stat. Assoc. , 69 : 730 – 737 .
   Web of Science ®Google Scholar
• Vasicek , O. 1976 . A test for normality based on sample entropy . J. R. Stat. Soc. B , 38 : 54 – 59 .
   Google Scholar
• Bera , A. K. and Ng , P. T. 1995 . Tests for normality using estimated score function . J. Stat. Comput. Simul. , 52 ( 3 ) : 273 – 287 .
   Web of Science ®Google Scholar
• Dufour , J. M. , Farhat , A. , Gardiol , L. and Khalaf , L. 1998 . Simulation-based finite sample normality tests in linear regressions . Econ. J. , 1 : 154 – 173 .
   Google Scholar
• Esteban , M. D. , Castellanos , M. E. , Morales , D. and Vajda , I. 2001 . Monte Carlo comparison of four normality tests using different entropy estimates . Commun. Stat. Simul. Comput. , 30 : 761 – 785 .
   Web of Science ®Google Scholar
• Goria , M. N. , Leonenko , N. N. , Mergel , V. V. and Novi Inverardi , P. L. 2005 . A new class of random vector entropy estimators and its applications in testing statistical hypotheses . Nonparametric Stat. , 17 ( 3 ) : 277 – 297 .
   Web of Science ®Google Scholar
• Choi , B. 2008 . Improvement of goodness of fit test for normal distribution based on entropy and power comparison . J. Stat. Comput. Simul. , 78 ( 9 ) : 781 – 788 .
   Web of Science ®Google Scholar
• Farrell , P. J. and Rogers-Stewart , K. 2006 . Comprehensive study of tests for normality and symmetry: Extending the Spiegelhalter test . J. Stat. Comput. Simul. , 76 ( 9 ) : 803 – 816 .
   Web of Science ®Google Scholar
• Yazici , B. and Yolacan , S. 2007 . A comparison of various tests of normality . J. Stat. Comput. Simul. , 77 ( 2 ) : 175 – 183 .
   Web of Science ®Google Scholar
• Meintanis , S. G. 2009 . Goodness-of-fit testing by transforming to normality: Comparison between classical and characteristic function-based methods . J. Stat. Comput. Simul. , 79 ( 2 ) : 205 – 212 .
   Web of Science ®Google Scholar
• von Mises , R. 1931 . Wahrscheinlichkeitsrechnung und ihre Anwendung in der Statistik und theoretischen Physik , Leipzig and Vienna : Deuticke .
   Google Scholar
• Kolmogorov , A. N. 1933 . Sulla determinazione empirica di une legge di distribuzione . Giornale dell'Intituto Italiano degli Attuari , 4 : 83 – 91 .
   Google Scholar
• Anderson , T. W. and Darling , D. A. 1954 . A test of goodness of fit . J. Am. Stat. Assoc. , 49 : 765 – 769 .
   Web of Science ®Google Scholar
• Kuiper , N. H. 1962 . Test concerning random points on a circle. . Proc. K. Ned. Akad. Wet. A. , 63 : 38 – 47 .
   Google Scholar
• Shapiro , S. S. and Wilk , M. B. 1965 . An analysis of variance test for normality . Biometrika , 52 : 591 – 611 .
   Web of Science ®Google Scholar
• Jarque , C. M. and Bera , A. K. 1987 . A test normality of observations and regression residuals . Int. Stat. Rev. , 55 : 163 – 172 .
   Web of Science ®Google Scholar
• Pearson , E. S. and Hartley , H. O. 1972 . Biometrika Tables for Statisticians , London : Cambridge University Press .
   Google Scholar