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A New Method For Testing Normality Based Upon A Characterization Of The Normal Distribution, Davayne A. Melbourne
A New Method For Testing Normality Based Upon A Characterization Of The Normal Distribution, Davayne A. Melbourne
FIU Electronic Theses and Dissertations
The purposes of the thesis were to review some of the existing methods for testing normality and to investigate the use of generated data combined with observed to test for normality. The approach to testing for normality is in contrast to the existing methods which are derived from observed data only. The test of normality proposed follows a characterization theorem by Bernstein (1941) and uses a test statistic D*, which is the average of the Hoeffding’s D-Statistic between linear combinations of the observed and generated data to test for normality.
Overall, the proposed method showed considerable potential and achieved adequate …