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  2. Shapiro–Wilk test - Wikipedia

    en.wikipedia.org/wiki/ShapiroWilk_test

    The ShapiroWilk test tests the null hypothesis that a sample x 1, ..., x n came from a normally distributed population. The test statistic is = (= ()) = (¯), where with parentheses enclosing the subscript index i is the ith order statistic, i.e., the ith-smallest number in the sample (not to be confused with ).

  3. List of statistical tests - Wikipedia

    en.wikipedia.org/wiki/List_of_statistical_tests

    Unpaired samples are also called independent samples. Paired samples are also called dependent. Finally, there are some statistical tests that perform analysis of relationship between multiple variables like regression. [1] Number of samples: The number of samples of data. Exactness: A test can be exact or be asymptotic delivering approximate ...

  4. Likelihood-ratio test - Wikipedia

    en.wikipedia.org/wiki/Likelihood-ratio_test

    The likelihood-ratio test, also known as Wilks test, [2] is the oldest of the three classical approaches to hypothesis testing, together with the Lagrange multiplier test and the Wald test. [3] In fact, the latter two can be conceptualized as approximations to the likelihood-ratio test, and are asymptotically equivalent.

  5. Goodness of fit - Wikipedia

    en.wikipedia.org/wiki/Goodness_of_fit

    N = the sample size The resulting value can be compared with a chi-square distribution to determine the goodness of fit. The chi-square distribution has ( k − c ) degrees of freedom , where k is the number of non-empty bins and c is the number of estimated parameters (including location and scale parameters and shape parameters) for the ...

  6. Wilks' theorem - Wikipedia

    en.wikipedia.org/wiki/Wilks'_theorem

    In that event, the likelihood test is still a sensible test statistic and even possess some asymptotic optimality properties, but the significance (the p-value) can not be reliably estimated using the chi-squared distribution with the number of degrees of freedom prescribed by Wilks. In some cases, the asymptotic null-hypothesis distribution of ...

  7. Multiple comparisons problem - Wikipedia

    en.wikipedia.org/wiki/Multiple_comparisons_problem

    A normal quantile plot for a simulated set of test statistics that have been standardized to be Z-scores under the null hypothesis. The departure of the upper tail of the distribution from the expected trend along the diagonal is due to the presence of substantially more large test statistic values than would be expected if all null hypotheses were true.

  8. CHART #3: SIDE-BY-SIDE COMPARISON OF LEADING REPUBLICAN ...

    images.huffingtonpost.com/bluchart3.pdf

    CHART #3: SIDE-BY-SIDE COMPARISON OF LEADING REPUBLICAN CANDIDATESÕ HEALTH PLANS 2 insurance policies and allow them to keep whatever credit remains as an incentive to purchase cost-effective plans18! Permit families to set up health savings accounts (HSAs) of $2,000 to $6,000 to cover medical expenses, before insurance kicks in19

  9. Martin Wilk - Wikipedia

    en.wikipedia.org/wiki/Martin_Wilk

    Martin Bradbury Wilk, OC (18 December 1922 – 19 February 2013) [1] [2] was a Canadian statistician, academic, and the former chief statistician of Canada. In 1965, together with Samuel Shapiro , he developed the ShapiroWilk test , which can indicate whether a sample of numbers would be unusual if it came from a Gaussian distribution .

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