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  2. Odds ratio - Wikipedia

    en.wikipedia.org/wiki/Odds_ratio

    An odds ratio (OR) is a statistic that quantifies the strength of the association between two events, A and B. The odds ratio is defined as the ratio of the odds of event A taking place in the presence of B, and the odds of A in the absence of B. Due to symmetry, odds ratio reciprocally calculates the ratio of the odds of B occurring in the presence of A, and the odds of B in the absence of A.

  3. Scoring rule - Wikipedia

    en.wikipedia.org/wiki/Scoring_rule

    The goal of a forecaster is to maximize the score and for the score to be as large as possible, and −0.22 is indeed larger than −1.6. If one treats the truth or falsity of the prediction as a variable x with value 1 or 0 respectively, and the expressed probability as p , then one can write the logarithmic scoring rule as x ln( p ) + (1 − ...

  4. Likelihood function - Wikipedia

    en.wikipedia.org/wiki/Likelihood_function

    In addition to the mathematical convenience from this, the adding process of log-likelihood has an intuitive interpretation, as often expressed as "support" from the data. When the parameters are estimated using the log-likelihood for the maximum likelihood estimation, each data point is used by being added to the total log-likelihood.

  5. p-value - Wikipedia

    en.wikipedia.org/wiki/P-value

    Free online p-values calculators for various specific tests (chi-square, Fisher's F-test, etc.). Understanding p-values, including a Java applet that illustrates how the numerical values of p-values can give quite misleading impressions about the truth or falsity of the hypothesis under test. on YouTube

  6. Hosmer–Lemeshow test - Wikipedia

    en.wikipedia.org/wiki/Hosmer–Lemeshow_test

    6. Calculate the p-value Compare the computed Hosmer–Lemeshow statistic to a chi-squared distribution with Q − 2 degrees of freedom to calculate the p-value. There are Q = 10 groups in the caffeine example, giving 10 – 2 = 8 degrees of freedom. The p-value for a chi-squared statistic of 17.103 with df = 8 is p = 0.029. The p-value is ...

  7. Statistical hypothesis test - Wikipedia

    en.wikipedia.org/wiki/Statistical_hypothesis_test

    The interpretation of a p-value is dependent upon stopping rule and definition of multiple comparison. The former often changes during the course of a study and the latter is unavoidably ambiguous. (i.e. "p values depend on both the (data) observed and on the other possible (data) that might have been observed but weren't"). [69]

  8. Expected value - Wikipedia

    en.wikipedia.org/wiki/Expected_value

    Since the probabilities must satisfy p 1 + ⋅⋅⋅ + p k = 1, it is natural to interpret E[X] as a weighted average of the x i values, with weights given by their probabilities p i. In the special case that all possible outcomes are equiprobable (that is, p 1 = ⋅⋅⋅ = p k), the weighted average is given by the standard average. In the ...

  9. Probability - Wikipedia

    en.wikipedia.org/wiki/Probability

    This interpretation considers probability to be the relative frequency "in the long run" of outcomes. [4] A modification of this is propensity probability , which interprets probability as the tendency of some experiment to yield a certain outcome, even if it is performed only once.

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