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  2. Degrees of freedom (statistics) - Wikipedia

    en.wikipedia.org/wiki/Degrees_of_freedom...

    In statistics, the number of degrees of freedom is the number of values in the final calculation of a statistic that are free to vary. [1] Estimates of statistical parameters can be based upon different amounts of information or data. The number of independent pieces of information that go into the estimate of a parameter is called the degrees ...

  3. Tukey's range test - Wikipedia

    en.wikipedia.org/wiki/Tukey's_range_test

    the number of degrees of freedom for each mean ( df = N − k) where N is the total number of observations.) The distribution of q has been tabulated and appears in many textbooks on statistics. In some tables the distribution of q has been tabulated without the factor.

  4. Polynomial interpolation - Wikipedia

    en.wikipedia.org/wiki/Polynomial_interpolation

    The original use of interpolation polynomials was to approximate values of important transcendental functions such as natural logarithm and trigonometric functions.Starting with a few accurately computed data points, the corresponding interpolation polynomial will approximate the function at an arbitrary nearby point.

  5. Welch–Satterthwaite equation - Wikipedia

    en.wikipedia.org/wiki/Welch–Satterthwaite_equation

    In statistics and uncertainty analysis, the Welch–Satterthwaite equation is used to calculate an approximation to the effective degrees of freedom of a linear combination of independent sample variances, also known as the pooled degrees of freedom, [1] [2] corresponding to the pooled variance.

  6. Direct comparison test - Wikipedia

    en.wikipedia.org/wiki/Direct_comparison_test

    In mathematics, the comparison test, sometimes called the direct comparison test to distinguish it from similar related tests (especially the limit comparison test), provides a way of deducing whether an infinite series or an improper integral converges or diverges by comparing the series or integral to one whose convergence properties are known.

  7. Bradley–Terry model - Wikipedia

    en.wikipedia.org/wiki/Bradley–Terry_model

    The model is named after Ralph A. Bradley and Milton E. Terry, [3] who presented it in 1952, [4] although it had already been studied by Ernst Zermelo in the 1920s. [1] [5] [6] Applications of the model include the ranking of competitors in sports, chess, and other competitions, [7] the ranking of products in paired comparison surveys of consumer choice, analysis of dominance hierarchies ...

  8. Completeness (statistics) - Wikipedia

    en.wikipedia.org/wiki/Completeness_(statistics)

    The Bernoulli model admits a complete statistic. [1] Let X be a random sample of size n such that each X i has the same Bernoulli distribution with parameter p . Let T be the number of 1s observed in the sample, i.e. T = ∑ i = 1 n X i {\displaystyle \textstyle T=\sum _{i=1}^{n}X_{i}} .

  9. Limit comparison test - Wikipedia

    en.wikipedia.org/wiki/Limit_comparison_test

    In mathematics, the limit comparison test (LCT) (in contrast with the related direct comparison test) is a method of testing for the convergence of an infinite series.