Experimental Design for FormulationSIAM, 1 abr 2005 - 386 páginas This book describes a systematic methodology for formulating mixed-ingredient products so that they perform to particular standards, providing scientists and engineers with a fast track to the implementation of the methodology. Examples from a wide variety of fields are included, as well as a discussion of how to design experiments for a mixture setting and how to fit and interpret models in a mixture setting. It also introduces process variables, the combining of mixture and nonmixture variables in a designed experiment, and the concept of collinearity and the possible problems that can result from its presence. The book is a useful manual for the formulator and can also be used by a resident statistician to teach an in-house short course. Statistical proofs are largely absent, and the formulas that are presented are included to explain how the various software packages carry out the analysis. |
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Términos y frases comunes
Adhesive experiment Adhesive viscosity algorithm axial check blends base point block calculated central composite design Chapter coefficient estimates collinearity column component proportions composition constrained region constraints correlation Cox-effect directions crossproduct terms D-optimality criterion data points degrees of freedom deleted design points design region Design-Expert DFFITS DMBA edge centroids effect equal example experimental Figure fitted model fitted values illustrate lack of fit Latin squares leverage linear model linear terms matrix MINITAB mixture experiments mixture model mixture setting MPV model null hypothesis observations optimization orthogonal outlier overall centroid parameter estimates Piepel polynomial PQM model prediction variance process variables process-variable pure error quadratic model quadratic Scheffé model quadratic terms Radj regressors replicates response surface robust regression S-PLUS significant simplex special cubic standard errors studentized residuals sum of squares surfactant Table trace plots transformation vector vertex vertices viscosity viscosity data X₁
