The present study provides an extension of the previously developed concept of purity-activity relationships (PARs) and enables the quantitative evaluation of the effects of multiple minor components on the bioactivity of residually complex natural products. The anti-tuberculosis active triterpenes from the Alaskan ethnobotanical Oplopanax horridus were selected as a case for the development of the quantitative PAR (QPAR) concept. The residual complexity of the purified triterpenes was initially evaluated by 1D- and 2D-NMR and identified as a combination of structurally related and unrelated impurities. Using a biochemometric approach, the qHNMR purity and anti-TB activity of successive chromatographic fractions of O. horridus triterpenes were correlated by linear regression analysis to generate a mathematical QPAR model. The results demonstrate that impurities, such as widely occurring monoglycerides, can have a profound impact on the observed antimycobacterial activity of triterpene-enriched fractions. The QPAR concept is shown to be capable of providing a quantitative assessment in situations where residually complex constitution contributes toward the biological activity of natural products.