Research Workbench

Logistic calibration intercept and slope

Fit a recalibration line to grouped predicted probabilities and binary outcome counts.

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Use 3–100 groups, probabilities strictly inside 0–1 and whole event/total counts. Every observation in a row must have exactly the same original predicted probability. Do not substitute a calibration bin’s mean. Rows must be disjoint independent validation observations; do not use training-set predictions.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Calibration intercept
0
Calibration slope
1
Total validation observations
80

How to interpret the output

Binomial maximum likelihood fits logit(observed risk)=intercept+slope×logit(predicted risk). Ideal values are zero and one. This is joint recalibration, not calibration-in-the-large with slope fixed at one. Aggregating identical probabilities preserves this binomial fit, but bin averages for varying probabilities generally do not reproduce the individual-data fit; separation, sparse data and extrapolation can make estimates unstable. No confidence intervals are supplied. Coefficients are rounded to 12 decimal places to suppress insignificant platform-dependent numerical noise.

Method reference

Read the worked guide and interpretation examples →

Source checked 2026-11-06. Read the reproducible calculator validation report.