A primer on experiments with mixtures

A primer on experiments with mixtures / John A. Cornell.

The concise yet authoritative presentation of key techniques for basic mixtures experiments Inspired by the author's bestselling advanced book on the topic, A Primer on Experiments with Mixtures provides an introductory presentation of the key principles behind experimenting with mixtures. Outl...

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Bibliographic Details
Main Author: Cornell, John A., 1941-
Format: eBook
Language:English
Published: Hoboken, N.J. : Wiley, ©2011.
Series:Wiley series in probability and statistics.
Subjects:
Mixtures > Experiments.
Solution (Chemistry) > Experiments.
Powders > Mixing > Experiments.
Mixtures > Mathematical models.
Solution (Chemistry) > Mathematical models.
Powders > Mixing > Mathematical models.
SCIENCE > Chemistry > Industrial & Technical.
TECHNOLOGY & ENGINEERING > Chemical & Biochemical.
Mixtures > Experiments
Solution (Chemistry) > Experiments
Solution (Chemistry) > Mathematical models
Online Access:Click for online access
Table of Contents:
  • A Primer on Experiments with Mixtures; Contents; Preface; 1. Introduction; 1.1 The Original Mixture Problem; 1.2 A Pesticide Example Involving Two Chemicals; 1.3 General Remarks About Response Surface Methods; 1.4 An Historical Perspective; References and Recommended Reading; Questions; Appendix 1A: Testing for Nonlinear Blending of the Two Chemicals Vendex and Kelthane While Measuring the Average Percent Mortality (APM) of Mites; 2. The Original Mixture Problem: Designs and Models for Exploring the Entire Simplex Factor Space; 2.1 The Simplex-Lattice Designs; 2.2 The Canonical Polynomials.
  • 2.3 The Polynomial Coefficients As Functions of the Responses at the Points of the Lattices2.4 Estimating The Parameters in the {q, m} Polynomials; 2.5 Properties of the Estimate of the Response y(x); 2.6 A Three-Component Yarn Example Using A {3, 2} Simplex-Lattice Design; 2.7 The Analysis of Variance Table; 2.8 Analysis of Variance Calculations of the Yarn Elongation Data; 2.9 The Plotting of Individual Residuals; 2.10 Testing the Degree of the Fitted Model: A Quadratic Model or Planar Model?; 2.11 Testing Model Lack of Fit Using Extra Points and Replicated Observations.
  • QuestionsAppendix 2A: Least-Squares Estimation Formula for the Polynomial Coefficients and Their Variances: Matrix Notation; Appendix 2B: Cubic and Quartic Polynomials and Formulas for the Estimates of the Coefficients; Appendix 2C: The Partitioning of the Sources in the Analysis of Variance Table When Fitting the Scheffé Mixture Models; 3. Multiple Constraints on the Component Proportions; 3.1 Lower-Bound Restrictions on Some or All of the Component Proportions; 3.2 Introducing L-Pseudocomponents; 3.3 A Numerical Example of Fitting An L-Pseudocomponent Model.
  • 3.4 Upper-Bound Restrictions on Some or All Component Proportions3.5 An Example of the Placing of an Upper Bound on a Single Component: The Formulation of a Tropical Beverage; 3.6 Introducing U-Pseudocomponents; 3.7 The Placing of Both Upper and Lower Bounds on the Component Proportions; 3.8 Formulas For Enumerating the Number of Extreme Vertices, Edges, and Two-Dimensional Faces of the Constrained Region; 3.9 McLean and Anderson's Algorithm For Calculating the Coordinates of the Extreme Vertices of a Constrained Region; 3.10 Multicomponent Constraints.

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