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Calibration can refer to adjustment of measurements to agree with value of some standard; to transform classifier scores into class membership probabilities; etc. Do not use for predicting an explanatory variable from an observation of the dependent variable, for that use the tag inverse-prediction.
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How does the Brier Score break down to (Reliability - Resolution + Uncertainty)?
In fact, one interpretation of the calibration/reliability component of a Brier score decomposition is that it's simply the MSE of a calibration curve. … and refinement:
The first term, called calibration, calibration error, or reliability, indicates how close the assigned probabilities are to the actual probability in each bucket. …