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  2. Statistical association football predictions - Wikipedia

    en.wikipedia.org/wiki/Statistical_association...

    Statistical Football prediction is a method used in sports betting, to predict the outcome of football matches by means of statistical tools. The goal of statistical match prediction is to outperform the predictions of bookmakers [citation needed][dubious – discuss], who use them to set odds on the outcome of football matches.

  3. Brier score - Wikipedia

    en.wikipedia.org/wiki/Brier_score

    A skill score for a given underlying score is an offset and (negatively-) scaled variant of the underlying score such that a skill score value of zero means that the score for the predictions is merely as good as that of a set of baseline or reference or default predictions, while a skill score value of one (100%) represents the best possible ...

  4. Scoring rule - Wikipedia

    en.wikipedia.org/wiki/Scoring_rule

    Scoring rules and scoring functions are often used as "cost functions" or "loss functions" of probabilistic forecasting models. They are evaluated as the empirical mean of a given sample, the "score". Scores of different predictions or models can then be compared to conclude which model is best. For example, consider a model, that predicts ...

  5. Pythagorean expectation - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_expectation

    Pythagorean expectation is a sports analytics formula devised by Bill James to estimate the percentage of games a baseball team "should" have won based on the number of runs they scored and allowed. Comparing a team's actual and Pythagorean winning percentage can be used to make predictions and evaluate which teams are over-performing and under ...

  6. Calibration (statistics) - Wikipedia

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

    In prediction and forecasting, a Brier score is sometimes used to assess prediction accuracy of a set of predictions, specifically that the magnitude of the assigned probabilities track the relative frequency of the observed outcomes. Philip E. Tetlock employs the term "calibration" in this sense in his 2015 book Superforecasting. [16]

  7. Prediction interval - Wikipedia

    en.wikipedia.org/wiki/Prediction_interval

    Prediction interval. In statistical inference, specifically predictive inference, a prediction interval is an estimate of an interval in which a future observation will fall, with a certain probability, given what has already been observed. Prediction intervals are often used in regression analysis . A simple example is given by a six-sided die ...

  8. Positive and negative predictive values - Wikipedia

    en.wikipedia.org/wiki/Positive_and_negative...

    The positive predictive value (PPV), or precision, is defined as = + = where a "true positive" is the event that the test makes a positive prediction, and the subject has a positive result under the gold standard, and a "false positive" is the event that the test makes a positive prediction, and the subject has a negative result under the gold standard.

  9. Expected goals - Wikipedia

    en.wikipedia.org/wiki/Expected_goals

    Expected goals. In association football, expected goals ( xG) is a performance metric used to evaluate team and player performances. [ 1] It can be used to represent the probability of a scoring opportunity that may result in a goal. [ 2] It is also used in ice hockey. [ 3][ 4][ 5]