Analysis of signal-response systems using generalized linear mixed models

Robust parameter design is one of the important tools used in Design for Six Sigma. In this article, we present an application of the generalized linear mixed model (GLMM) approach to robust design and analysis of signal-response systems. We propose a split-plot approach to the signal-response system characterized by two variance components-within-profile variance and between-profile variance. We demonstrate that explicit modeling of variance components using GLMMs leads to more precise point estimates of important model coefficients with shorter confidence intervals.