Use of Three Parameter Model in Uniformity Trials experiments

Abstract

Several linear and non-linear models have been proposed by various authors for the study of approximation of non linear models by statistical models which are linear in its parameters. Smith (1938), jessen (1942) and Hansen et.al. (1953), Misra (2010), Shukla et.al. 2018)  have proposed various non-linear models for the comparative study of the parameters like coefficient of determination and sum of squired error. In this paper I have suggested an application of a three parameter linear model to compare these parameters of interest, which proves the suggested model a superior one.

Keywords-  Linear model, non-linear model, three parameter model, variance function, reduction of error in modeling, coefficient of determination, sum of squired error.