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| Lilliefors-Test auf Normalverteilung× | Fligner-Killeen-Test auf Varianzhomogenität× | |
|---|---|---|
| Fachgebiet | Statistik | Statistik |
| Familie | Regression model | Regression model |
| Entstehungsjahr≠ | 1967 | 1976 |
| Urheber≠ | Hubert W. Lilliefors | Michael A. Fligner & Timothy J. Killeen |
| Typ≠ | Goodness-of-fit / normality test | Rank-based test for homogeneity of variances |
| Wegweisende Quelle≠ | 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. DOI ↗ | Fligner, M. A., & Killeen, T. J. (1976). Distribution-Free Two-Sample Tests for Scale. Journal of the American Statistical Association, 71(353), 210-213. DOI ↗ |
| Aliasnamen | 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 |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | 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. |
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