Aspects of the present disclosure describe systems and methods for calibrating a metrology tool by using proportionality factors. The proportionality factors may be obtained by measuring a substrate under different measurement conditions. Then calculating the measured metrology value and one or more quality merits. From this information, proportionality factors may be determined. Thereafter the proportionality factors may be used to quantify the inaccuracy in a metrology measurement. The proportionality factors may also be used to determine an optimize measurement recipe. It is emphasized that this abstract is provided to comply with the rules requiring an abstract that will allow a searcher or other reader to quickly ascertain the subject matter of the technical disclosure. It is submitted with the understanding that it will not be used to interpret or limit the scope or meaning of the claims.