Wider acceptance of QSARs would result in a constellation of benefits and savings to both private and public sectors. For this to occur, particularly in regulatory applications, a models limitations need to be identified. We define a models limitations as encompassing assessment of overall prediction accuracy, applicability domain and chance correlation. A general guideline is presented in this review for assessing a models limitations with emphasis on and examples of application with consensus modeling methods. More specifically, we discuss the commonalities and differences between external validation and cross-validation for assessing a models limitations. We illustrate two common ways of assessing overall prediction accuracy, depending on whether or not the intended application domain is predefined. Since even a high quality model will have different confidence in accuracy for predicting different chemicals, we further demonstrate using the novel Decision Forest consensus modeling method a means to determine prediction confidence (i.e., certainty for an individual chemicals prediction) and domain extrapolation (i.e., the prediction accuracy for a chemical that is outside the chemistry space defined by the training chemicals). We show that prediction confidence and domain extrapolation are related measures that together determine the applicability domain of a model, and that prediction confidence is the more important measure. Lastly, the importance of assessing chance correlation is emphasized, and illustrated with several examples of models having a high degree of chance correlations despite cross-validation indicating high prediction accuracy. Generally, a dataset with a skewed distribution, small data size and/or low signal/noise ratio tends to produce a model with high chance correlation. We conclude that it is imperative to assess all three aspects (i.e., overall accuracy, applicability domain and chance correlation) of a model for the regulatory acceptance of QSARs.
Keywords: sar/qsar, model limitation, model uncertainty, applicability domain, model validation, chance correlation, decision forest, consensus modeling
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