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Original Article| Volume 66, ISSUE 11, P1296-1301, November 2013

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Calibration of clinical prediction rules does not just assess bias

  • Werner Vach
    Correspondence
    Corresponding author. Tel.: +49 761 203 6722; fax: +49 761 203 6711.
    Affiliations
    Clinical Epidemiology, Institute of Medical Biometry and Medical Informatics, Freiburg University Medical Center, Freiburg, Germany
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Published:September 10, 2013DOI:https://doi.org/10.1016/j.jclinepi.2013.06.003

      Abstract

      Objectives

      Calibration is often thought to assess the bias of a clinical prediction rule. In particular, if the rule is based on a linear logistic model, it is often assumed that an overestimation of all coefficients results in a calibration slope less than 1 and an underestimation in a slope larger than 1.

      Study Design and Setting

      We investigate the relation of the bias and the residual variation of clinical prediction rules with the typical behavior of calibration plots and calibration slopes, using some artificial examples.

      Results

      Calibration is not only sensitive to the bias of the clinical prediction rule but also to the residual variation. In some circumstances, the effects may cancel out, resulting in a misleading perfect calibration.

      Conclusion

      Poor calibration is a clear indication of limited usefulness of a clinical prediction rule. However, a perfect calibration should be interpreted with care as this may happen even for a biased prediction rule.

      Keywords

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