Probability Plot Correlation Coefficient Test For Normality. The probability plot and the product moment correlation coefficient. The proposed test statistic the normal probability plot correlation coefficient r is thus defined as the product moment correlation coefficient between the ordered observations X and the order statistic medians M.
The probability plot and the product moment correlation coefficient. Of a probability plot in which the expected values of the standardized normal order statistics mi are used as plotting positions rather than the normal percentage points bi. The PPCC test was originally developed for normality testing Filliben 1975 Looney and Gulledge 1985 and has been applied to non-normal distributions.
Many water resource applications require powerful hypothesis tests for nonnormal distributions.
The probability plot correlation coefficient test consists of two widely used tools in water resource engineering. Generally the selection of appropriate probability model is based on the goodness of fit test. The correlation coefficient of the points on the normal probability plot can be compared to a table of critical values to provide a formal test of the hypothesis that the data come from a normal distribution. The probability plot correlation coefficient test consists of two widely used tools in water resource engineering.
