Robust Nonlinear Least Squares Approaches for Evaluating OVA-Mediated Bleaching Reactions: An Experimental Comparative Study

Year 2017, Volume: 30 Issue: 4, 599 - 608, 11.12.2017

Barış Aşıkgil

Abstract

Nonlinear models are usually encountered in
various areas including experimental studies such as physics, chemistry,
biology etc. Ordinary least squares is one of the most widely used methods for
parameter estimation in different types of nonlinear models. However, there are
some regression assumptions need to be satisfied for obtaining efficient
parameter estimates. In this paper, the parameter estimation process is
evaluated carefully for some bleaching reactions by using chicken egg albumin
(OVA) and some precautions are taken in the presence of violations of the
assumptions (heteroscedasticity, autocorrelation, the presence of outliers). In
this way, robust logged nonlinear least squares approaches are examined and
compared under different conditions of reactions.

Keywords

Robust nonlinear least squares, heteroscedasticity, autocorrelation, outlier, chicken egg albumin

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