Research on Figure Test and Skew Kurtosis Test of the Normal Distribution

Article Preview

Abstract:

The object of the statistical analysis is the statistical information. To correctly identify the type of statistical information is the most important prerequisite for rational use of statistical analysis methods. In this paper, the common methods for normality test are introduced theoretically. And the figure test and partial kurtosis test of normal distribution are proposed with detailed testing steps, suitable situation and mathematical model. It is demonstrated by simulation that both have good test results and practical value.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 791-793)

Pages:

884-887

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] K Mardia. Applications of some measures of multivariate skewness and kurtosis in testing normality and robustness studies. Sankhy The Indian Journal of Statistics Series B . (1974).

Google Scholar

[2] Kendall, MG, Stuart, A, Ord, JK. Kendall's advanced theory of statistics, vol 3: Design and analysis, and time series . (1987).

Google Scholar

[3] K. O. Bowman, and L. R. Shenton. Omnibus test contours for departures from normality based on b1(1/b) and b2. Biometrika . (1975).

DOI: 10.1093/biomet/62.2.243

Google Scholar

[4] EL Lehmann. Elements of large-sample theory. . (1999).

Google Scholar

[5] Mardia, KV, Foster,K. Omnibus tests of multinormality based on skewness and kurtosis. Communications in Statistics . (1983).

DOI: 10.1080/03610928308828452

Google Scholar

[6] L. Baringhaus,N. Henze. Limit distributions for Mardia's measure of multivariate skewness. The Annals of Statistics . (1992).

DOI: 10.1214/aos/1176348894

Google Scholar

[7] K. -T. Fang,S. Kotz,K. -W. Ng. Symmetric multivariate and related distributions. . (1989).

Google Scholar

[8] Box, GEP, Andersen, SL. Permutation theory in derivation of robust criteria and the study of the departures from assumption. Journ Roy Statist Soc Ser B . (1955).

Google Scholar

[9] Rao,C. R. Linear statistical inference and its application . (1965).

Google Scholar

[10] Koziol, JA. On assessing multivariate normality. Journal of the Royal Statistical Society . (1983).

Google Scholar

[11] Adolfo J. Quiroz,R. M. Dudley.  Some new tests for multivariate normality[J] , (1991).

Google Scholar

[12] H. Lütkepohl,B. Theilen.  Measures of multivariate skewness and kurtosis for tests of nonnormality[J] , (1991).

DOI: 10.1007/bf02925492

Google Scholar

[13] Prof. Sándor Csörgő.  Consistency of some tests for multivariate normality[J] , (1989).

Google Scholar