Use of Brier score to assess binary predictions.

By Kaspar Rufibach. Journal of Clinical Epidemiology, 2010

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A tutorial on calibration measurements and calibration models for clinical prediction models (2020, background): “17 However, it can be shown that, from the decomposition of Brier score, a formal measurement that can serve as a proxy for calibration can be calculated: the Spiegelhalter z test.”
An Empirical Comparison of Model Validation Techniques for Defect Prediction Models (2017, methodology): “We use the Brier score [14], [89] to measure the distance between the predicted probabilities and the outcome.”
The Impact of Class Rebalancing Techniques on the Performance and Interpretation of Defect Prediction Models (2018, methodology): “First, we use the Brier score [69], [70] to measure the distance”
The Matthews Correlation Coefficient (MCC) is More Informative Than Cohen’s Kappa and Brier Score in Binary Classification Assessment (2021, methodology): “Ruﬁbach published a short report [86] where he described the advantages of the Brier score for binary predictions over Spiegelhalter’s z -statistic [87], while Jachan and colleagues [88] described a biomedical case study where they used the Brier score to assess predictions of epileptic seizures.”
The Impact of Automated Parameter Optimization on Defect Prediction Models (2018, methodology): “Second, we use the Brier score [19], [118] to measure the distance between the predicted probabilities and the outcome, as suggested by Tantithamthavorn et al.”