The design of experiments when there are errors in all the variables

Scott E. Keeler · Park M. Reilly

24 citations0/0 files storedThe Canadian Journal of Chemical Engineering

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Optimal Experimental Design Methods Advanced Statistical Methods and Models Statistical and numerical algorithms

Abstract

Abstract The Error‐in‐Variables Model (EVM) applies to a large class of problems in parameter estimation in which there is error in all the variables. This property makes it of more general applicability than the widely used technique of ordinary Least Squares. While there is a voluminous literature on EVM there is nothing on a general method for designing experiments when EVM applies. In this paper we present an extension of the concept of D‐optimality to provide such a general method. It is illustrated by applying it to the estimation of copolymer reactivity ratios and to fitting an ellipse.

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References

1968The Design of Experiments for Parameter Estimation 1968The Occurrence of Replications in Optimal Designs of Experiments to Estimate Parameters in Non-Linear Models 1977The analysis and design of binary vapour‐liquid equilibrium experiments. Part II: The design of experiments

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