Response Surface Methodology Process and Product Optimization Using Designed Experiments.

Response Surface Methodology Process and Product Optimization Using Designed Experiments.

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Bibliographic Details
Main Author: Myers, Raymond H.
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2016.
Series:New York Academy of Sciences Ser.
Subjects:
Experimental design.
Response surfaces (Statistics)
Electronic books.
Online Access:Click for online access
Table of Contents:
  • Intro
  • RESPONSE SURFACE METHODOLOGY
  • Contents
  • Preface
  • 1 Introduction
  • 1.1 Response Surface Methodology
  • 1.1.1 Approximating Response Functions
  • 1.1.2 The Sequential Nature of RSM
  • 1.1.3 Objectives and Typical Applications of RSM
  • 1.1.4 RSM and the Philosophy of Quality Improvement
  • 1.2 Product Design and Formulation (Mixture Problems)
  • 1.3 Robust Design and Process Robustness Studies
  • 1.4 Useful References on RSM
  • 2 Building Empirical Models
  • 2.1 Linear Regression Models
  • 2.2 Estimation of the Parameters in Linear Regression Models
  • 2.3 Properties of the Least Squares Estimators and Estimation of 2
  • 2.4 Hypothesis Testing in Multiple Regression
  • 2.4.1 Test for Significance of Regression
  • 2.4.2 Tests on Individual Regression Coefficients and Groups of Coefficients
  • 2.5 Confidence Intervals in Multiple Regression
  • 2.5.1 Confidence Intervals on the Individual Regression Coefficients
  • 2.5.2 A Joint Confidence Region on the Regression Coefficients
  • 2.5.3 Confidence Interval on the Mean Response
  • 2.6 Prediction of New Response Observations
  • 2.7 Model Adequacy Checking
  • 2.7.1 Residual Analysis
  • 2.7.2 Scaling Residuals
  • 2.7.3 Influence Diagnostics
  • 2.7.4 Testing for Lack of Fit
  • 2.8 Fitting a Second-Order Model
  • 2.9 Qualitative Regressor Variables
  • 2.10 Transformation of the Response Variable
  • Exercises
  • Short Answer Questions
  • 3 Two-Level Factorial Designs
  • 3.1 Introduction
  • 3.2 The 22 Design
  • 3.3 The 23 Design
  • 3.4 The General 2k Design
  • 3.5 A Single Replicate of the 2k Design
  • 3.6 2k Designs are Optimal Designs
  • 3.7 The Addition of Center Points to the 2k Design
  • 3.8 Blocking in the 2k Factorial Design
  • 3.8.1 Blocking in the Replicated Design
  • 3.8.2 Confounding in the 2k Design
  • 3.9 Split-Plot Designs
  • Exercises
  • Short Answer Questions
  • 4 Two-Level Fractional Factorial Designs
  • 4.1 Introduction
  • 4.2 The One-Half Fraction of the 2k Design
  • 4.3 The One-Quarter Fraction of the 2k Design
  • 4.4 The General 2k−p Fractional Factorial Design
  • 4.5 Resolution III Designs
  • 4.6 Resolution IV and V Designs
  • 4.7 Alias Structures in Fractional Factorial and Other Designs
  • 4.8 Nonregular Fractional Factorial Designs
  • 4.8.1 Nonregular Fractional Factorial Designs for 6, 7, and 8 Factors in 16 Runs
  • 4.8.2 Nonregular Fractional Factorial Designs for 9 Through 14 Factors in 16 Runs
  • 4.8.3 Analysis of Nonregular Fractional Factorial Designs
  • 4.9 Fractional Factorial Split-Plot Designs
  • 4.10 Summary
  • Exercises
  • Short Answer Questions
  • 5 Process Improvement with Steepest Ascent
  • 5.1 Determining the Path of Steepest Ascent
  • 5.1.1 Development of the Procedure
  • 5.1.2 Practical Application of the Method of Steepest Ascent
  • 5.2 Consideration of Interaction and Curvature
  • 5.2.1 What About a Second Phase?
  • 5.2.2 What Happens Following Steepest Ascent?

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