Kolmogorov Smirnov Vs Shapiro Wilk. Some statisticians claim the latter is worse due to its lower statistical power. If the sample size is larger than 50 we use the kolmogorov smirnov test.
Hi govinda yes given that your sample size is 300 the kolmogorov smirnov test would be most appropriate. As an example of a shapiro wilk test let s say a scientist claims that the reaction times of all people a population on some task are normally distributed. Both statistics take normality as the null and establishes a test statistic based on the sample but how they do so is different from one another in ways that make them more or less sensitive to features of normal distributions.
I ll run each test 10 000 times on non normal data and count how often each test produces a p value less than 0 05.
This is a lower bound of the true significance. The k s test is distribution free in the sense that the critical values do. Some statisticians claim the latter is worse due to its lower statistical power. He draws a random sample of n 233 people and measures their reaction times.
