A measure of skewness for testing departures from normality

Details A measure of skewness for testing departures from normality A measure of skewness for testing departures from normality

2012-02-23

arxiv.org/abs/1202.5093v1

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17 pages, 8 figures

Scientific paper

We propose a new skewness test statistic for normality based on the Pearson measure of skewness. We obtain asymptotic first four moments of the null distribution for this statistic by using a computer algebra system and its normalizing transformation based on the Johnson $S_{U}$ system. Finally the performance of the proposed statistic is shown by comparing the powers of several skewness test statistics against some alternative hypotheses.

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