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  2. Homogeneity and heterogeneity (statistics) - Wikipedia

    en.wikipedia.org/wiki/Homogeneity_and...

    In statistics, a sequence of random variables is homoscedastic (/ ˌ h oʊ m oʊ s k ə ˈ d æ s t ɪ k /) if all its random variables have the same finite variance; this is also known as homogeneity of variance. The complementary notion is called heteroscedasticity, also known as heterogeneity of variance.

  3. Homoscedasticity and heteroscedasticity - Wikipedia

    en.wikipedia.org/wiki/Homoscedasticity_and...

    In statistics, a sequence of random variables is homoscedastic (/ ˌ h oʊ m oʊ s k ə ˈ d æ s t ɪ k /) if all its random variables have the same finite variance; this is also known as homogeneity of variance. The complementary notion is called heteroscedasticity, also known as heterogeneity of variance.

  4. Brown–Forsythe test - Wikipedia

    en.wikipedia.org/wiki/Brown–Forsythe_test

    O'Brien tested several ways of using the traditional analysis of variance to test heterogeneity of spread in factorial designs with equal or unequal sample sizes. The jackknife pseudovalues of s 2 and the absolute deviations from the cell median are shown to be robust and relatively powerful.

  5. Kruskal–Wallis test - Wikipedia

    en.wikipedia.org/wiki/Kruskal–Wallis_test

    Difference between ANOVA and Kruskal–Wallis test with ranks. The Kruskal–Wallis test by ranks, Kruskal–Wallis test (named after William Kruskal and W. Allen Wallis), or one-way ANOVA on ranks is a non-parametric statistical test for testing whether samples originate from the same distribution.

  6. Diversity index - Wikipedia

    en.wikipedia.org/wiki/Diversity_index

    This equation is also equal to the weighted arithmetic mean of the proportional abundances p i of the types of interest, with the proportional abundances themselves being used as the weights. [2] Proportional abundances are by definition constrained to values between zero and one, but it is a weighted arithmetic mean, hence λ ≥ 1/ R , which ...

  7. Heteroskedasticity-consistent standard errors - Wikipedia

    en.wikipedia.org/wiki/Heteroskedasticity...

    These are also known as heteroskedasticity-robust standard errors (or simply robust standard errors), Eicker–Huber–White standard errors (also Huber–White standard errors or White standard errors), [1] to recognize the contributions of Friedhelm Eicker, [2] Peter J. Huber, [3] and Halbert White. [4]

  8. Overdispersion - Wikipedia

    en.wikipedia.org/wiki/Overdispersion

    In statistics, overdispersion is the presence of greater variability (statistical dispersion) in a data set than would be expected based on a given statistical model. A common task in applied statistics is choosing a parametric model to fit a given set of empirical observations.

  9. Cochran's Q test - Wikipedia

    en.wikipedia.org/wiki/Cochran's_Q_test

    [1] [2] [3] It is named after William Gemmell Cochran. Cochran's Q test should not be confused with Cochran's C test , which is a variance outlier test. Put in simple technical terms, Cochran's Q test requires that there only be a binary response (e.g. success/failure or 1/0) and that there be more than 2 groups of the same size.