مقایسهٔ روش‌ها

	آزمون لیلیفورس برای نرمال بودن	آزمون فِلِینِر-کیلین برای همگنی واریانس‌ها
حوزه	آمار	آمار
خانواده	Regression model	Regression model
سال پیدایش	1967	1976
پدیدآور	Hubert W. Lilliefors	Michael A. Fligner & Timothy J. Killeen
نوع	Goodness-of-fit / normality test	Rank-based test for homogeneity of variances
منبع بنیادین	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.	Fligner, M. A., & Killeen, T. J. (1976). Distribution-Free Two-Sample Tests for Scale. Journal of the American Statistical Association, 71(353), 210-213.
نام‌های دیگر	Lilliefors corrected Kolmogorov-Smirnov test, Lilliefors normality test, Lilliefors Testi	Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi
مرتبط	5	5
خلاصه	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 Fligner-Killeen test is a rank-based test that checks whether several independent groups share the same variance (scale). Introduced by Fligner and Killeen in 1976, it does not require the data to be normally distributed, making it a robust nonparametric alternative to the Levene and Bartlett tests.