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| Έλεγχος Levene και Brown-Forsythe για την Ισότητα των Διακυμάνσεων× | Έλεγχος Bartlett για την Ομοιογένεια των Διακυμάνσεων× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια≠ | Regression model | Hypothesis test |
| Έτος προέλευσης≠ | 1960 | 1937 |
| Δημιουργός≠ | Howard Levene; Morton B. Brown and Alan B. Forsythe | Maurice Stevenson Bartlett |
| Τύπος≠ | Homogeneity of variance test (robust) | Parametric variance homogeneity test |
| Θεμελιώδης πηγή≠ | Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press. link ↗ | Bartlett, M. S. (1937). Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London. Series A, 160(901), 268–282. DOI ↗ |
| Εναλλακτικές ονομασίες | Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi | Bartlett's Chi-Square Test, Test for Equality of Variances, Bartlett's Homogeneity Test, Varyans Homojenliği Testi |
| Συναφείς≠ | 5 | 2 |
| Σύνοψη≠ | The Levene and Brown-Forsythe test checks whether two or more groups share the same variance (homogeneity of variance). Levene (1960) built the test on absolute deviations from each group mean, and Brown and Forsythe (1974) made it robust to non-normal data by centring on the group median instead. | Bartlett's Test is a classical parametric procedure for testing whether two or more independent groups share a common population variance. Introduced by Maurice Stevenson Bartlett in 1937, it formalises the null hypothesis that all group variances are equal by constructing a chi-square statistic from the ratio of pooled to individual group variances. It is a standard pre-analysis step before applying ANOVA or other procedures whose validity depends on the homoscedasticity assumption. |
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