Anderson Darling Test Results. Minitab does not always display a p-value for the Anderson-Darling test because it does not mathematically exist for certain cases. However the power of all four tests is still low for small sample size.
The p-value in our product_weight example is 0819 which suggests that the data follow the normal distribution. This test is most commonly used to determine whether or not your data follow a normal distribution. Minitab does not always display a p-value for the Anderson-Darling test because it does not mathematically exist for certain cases.
7 It was shown in Anderson and Darling 1954 that 7 can be written as A2 n n 1 n Xn j1 2j1 loguj log 1 unj1 8 where uj F 0 xj and x1 x2 xn is the ordered sample.
Results show that Shapiro-Wilk test is the most powerful normality test followed by Anderson-Darling test Lillieors test and Kolmogorov-Smirnov test. However the power of all four tests is still low for small sample size. The simulation results were remarkably consistent with the Anderson-Darling AD test almost always rejecting normality and the Ryan-Joiner RJ test almost always failing to reject normality. An A-D test value of 678744 versus one of 167895 implies that the average squared distance between the empirical and fitted cumulative functions including the effects of the preferential weighting of the tails is four times as big in one case versus another.
