EconPapers    
Economics at your fingertips  
 

Statistical Power Comparisons For Equal Skewness Different Kurtosis And Equal Kurtosis Different Skewness Coefficients In Nonparametric Tests

Otuken Senger ()
Additional contact information
Otuken Senger: Kafkas University

Istanbul University Econometrics and Statistics e-Journal, 2013, vol. 18, issue 1, 81-115

Abstract: Mann-Whitney and Kolmogorov-Smirnov two-sample tests are the most appropriate tests when the data, which are obtained from independent two-sample, are asked for testing by the help of nonparametric tests. Both Mann-Whitney and Kolmogorov-Smirnov two-sample tests are nonparametric statistics tests which are used to determine whether independent two-sample belongs to the same or similar populations. In this study, the statistical powers of these two tests are compared by analyzing the change in kurtosis coefficients under the assumption of equal skewness coefficients and analyzing the change in skewness coefficients under the assumption of equal kurtosis coefficients. Variances are assumed as heterogeneous for both situations and variance ratios 2, 3, 4, 1/2, 1/3 and 1/4 are used. Also, equal sample sizes of 4, 5, 8, 10, 12, 15, 16 and 20 are used as small and equal sample sizes. The results of the analyses revealed that Mann-Whitney test is more powerful between small and equal sample sizes of 4 to 10, and Kolmogorov-Smirnov two-sample test is more powerful between small and equal sample sizes of 12 to 20.

Keywords: Mann-Whitney Test; Kolmogorov-Smirnov Two Samples Test; Heterogeneity of Variance; Skewness; Kurtosis; Statistical Power; Monte Carlo Study (search for similar items in EconPapers)
JEL-codes: C12 C14 C15 (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations Track citations by RSS feed

Downloads: (external link)
http://eidergisi.istanbul.edu.tr/sayi18/iueis18m5.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ist:ancoec:v:18:y:2013:i:1:p:81-115

Access Statistics for this article

More articles in Istanbul University Econometrics and Statistics e-Journal from Department of Econometrics, Faculty of Economics, Istanbul University Contact information at EDIRC.
Series data maintained by Kutluk Kagan Sumer ().

 
Page updated 2017-09-29
Handle: RePEc:ist:ancoec:v:18:y:2013:i:1:p:81-115