Kolmogorov Smirnov Vs Shapiro Wilk Sample Size. If the sample size were 50 or less we would use the shapiro wilk statistic instead. If the sample size is larger than 50 we use the kolmogorov smirnov test.
Normality test monte carlo simulation skewness kurtosis introduction. Hi govinda yes given that your sample size is 300 the kolmogorov smirnov test would be most appropriate. If the sample size were 50 or less we would use the shapiro wilk statistic instead.
How exactly w the test statistic for shapiro wilk is calculated is a bit involved but conceptually it involves arraying the sample values by size and measuring fit against expected means variances and covariances.
How exactly w the test statistic for shapiro wilk is calculated is a bit involved but conceptually it involves arraying the sample values by size and measuring fit against expected means variances and covariances. These multiple comparisons against normality as i understand it give the test more power than the the kolmogorov smirnov test. If the sample size is larger than 50 we use the kolmogorov smirnov test. However the power of all four tests is still low for small sample size.
