Quantile-Zone Based Approach to Normality Testing

Normality testing remains an important issue for researchers, despite many solutions that have been published and in use a long time. There is need normality areas of research application, among them Quality control, or more precisely, the investigation Shewhart-type control charts. We modified some our previous results concerning charts by using empirical distribution function, proper choice quantiles zone function quantifies discrepancy from normal distribution. That was approach constructing new test we present this paper. Our show powerful than any other known test, even case alternatives with small departures sample sizes. Additionally, statistics are sensitive to outliers when normality, but not statistic. provide detailed statistic presented comparable power analysis highly illustrative graphics. The discussion covers both cases estimated parameters.