The KSL or Kolmogorov-Smirnov Lilliefors test is used to evaluate whether a sample comes from a normally distributed population, especially when the population mean and variance are unknown. It compares the empirical distribution function of the sample with the cumulative distribution function of the normal distribution. A significant test result indicates that the sample does not follow a normal distribution, while a non-significant result suggests that the sample is consistent with normality. However, it is important to consider the sample size and other assumptions when interpreting the results.
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