The present subject matter is direct to methodologies for calibrating data obtained from an optical analysis system. An initial calibration matrix of sampled analyte concentrations is modified using mean-centering techniques and selection of low and high analyte concentration spectra to produce a two-point calibration. A modified calibration matrix is produced by generating a non-linear calibration matrix by multiplying the initial calibration matrix by the two-point calibration. In an alternate embodiment, an initial multivariate optical element design is modified by iteratively adjusting the design based on standard error of calibration determination based on non-linerly fitted functions.