Σύγκριση μεθόδων

	Έλεγχος Lilliefors για Κανονικότητα	Έλεγχος Κανονικότητας Shapiro-Wilk
Πεδίο	Στατιστική	Στατιστική
Οικογένεια	Regression model	Hypothesis test
Έτος προέλευσης	1967	1965
Δημιουργός	Hubert W. Lilliefors	S. S. Shapiro & M. B. Wilk
Τύπος	Goodness-of-fit / normality test	Normality (goodness-of-fit) test
Θεμελιώδης πηγή	Lilliefors, H. W. (1967). On the Kolmogorov-Smirnov Test for Normality with Mean and Variance Unknown. Journal of the American Statistical Association, 62(318), 399-402.	Shapiro, S. S. & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3-4), 591–611.
Εναλλακτικές ονομασίες	Lilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors Testi	Shapiro-Wilk W test, W test for normality, Shapiro-Wilk normallik testi
Συναφείς	5	2
Σύνοψη	The Lilliefors test is a goodness-of-fit test that checks whether a continuous sample comes from a normal (or exponential) distribution when the mean and variance are unknown and estimated from the data. Introduced by Hubert W. Lilliefors in 1967, it adjusts the critical values of the Kolmogorov-Smirnov test so that they remain valid once the distribution's parameters are estimated rather than known in advance.	The Shapiro-Wilk test is a hypothesis test that checks whether a continuous variable was drawn from a normal distribution. It was introduced by Samuel Shapiro and Martin Wilk in 1965 and is regarded as one of the most powerful normality tests, recommended for sample sizes below 5000.