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  2. F-test - Wikipedia

    en.wikipedia.org/wiki/F-test

    To locate the critical F value in the F table, one needs to utilize the respective degrees of freedom. This involves identifying the appropriate row and column in the F table that corresponds to the significance level being tested (e.g., 5%). [6] How to use critical F values: If the F statistic < the critical F value Fail to reject null hypothesis

  3. Greenhouse–Geisser correction - Wikipedia

    en.wikipedia.org/wiki/Greenhouse–Geisser...

    To correct for this inflation, multiply the Greenhouse–Geisser estimate of epsilon to the degrees of freedom used to calculate the F critical value. An alternative correction that is believed to be less conservative is the Huynh–Feldt correction (1976).

  4. Repeated measures design - Wikipedia

    en.wikipedia.org/wiki/Repeated_measures_design

    The F statistic is the same as in the Standard Univariate ANOVA F test, but is associated with a more accurate p-value. This correction is done by adjusting the degrees of freedom downward for determining the critical F value. Two corrections are commonly used: the Greenhouse–Geisser correction and the Huynh–Feldt correction.

  5. F-distribution - Wikipedia

    en.wikipedia.org/wiki/F-distribution

    In probability theory and statistics, the F-distribution or F-ratio, also known as Snedecor's F distribution or the Fisher–Snedecor distribution (after Ronald Fisher and George W. Snedecor), is a continuous probability distribution that arises frequently as the null distribution of a test statistic, most notably in the analysis of variance (ANOVA) and other F-tests.

  6. Lack-of-fit sum of squares - Wikipedia

    en.wikipedia.org/wiki/Lack-of-fit_sum_of_squares

    The critical value corresponds to the cumulative distribution function of the F distribution with x equal to the desired confidence level, and degrees of freedom d 1 = (n − p) and d 2 = (N − n). The assumptions of normal distribution of errors and independence can be shown to entail that this lack-of-fit test is the likelihood-ratio test of ...

  7. Hartley's test - Wikipedia

    en.wikipedia.org/wiki/Hartley's_test

    Hartley's test is related to Cochran's C test [6] [7] in which the test statistic is the ratio of max(s j 2) to the sum of all the group variances.Other tests related to these, have test statistics in which the within-group variances are replaced by the within-group range.

  8. F-test of equality of variances - Wikipedia

    en.wikipedia.org/wiki/F-test_of_equality_of...

    In statistics, an F-test of equality of variances is a test for the null hypothesis that two normal populations have the same variance.Notionally, any F-test can be regarded as a comparison of two variances, but the specific case being discussed in this article is that of two populations, where the test statistic used is the ratio of two sample variances. [1]

  9. Critical exponent - Wikipedia

    en.wikipedia.org/wiki/Critical_exponent

    f: specific free energy: C: specific heat; −T ⁠ ∂ 2 f / ∂T 2 ⁠ J: source field (e.g. ⁠ P − P c / P c ⁠ where P is the pressure and P c the critical pressure for the liquid-gas critical point, reduced chemical potential, the magnetic field H for the Curie point) χ: the susceptibility, compressibility, etc.; ⁠ ∂ψ / ∂J ...