Disclosed herein is a method involving the steps of: (a) precipitating an amount of polyaromatic compounds from a liquid sample of a first hydrocarbon-containing feedstock having solvated polyaromatic compounds therein with one or more first solvents in a column; (b) determining one or more solubility characteristics of the precipitated polyaromatic compounds; (c) analyzing the one or more solubility characteristics of the precipitated polyaromatic compounds; and (d) correlating a measurement of catalyst activity performance for the first hydrocarbon-containing feedstock sample with a mathematical parameter derived from the results of analyzing the one or more solubility characteristics of the precipitated polyaromatic compounds to predict catalyst performance of a catalyst in a refinery operation of the hydrocarbon-containing feedstock.