Quality Improvement with Design of Experiments

A Response Surface Approach

  • Ivan N. Vuchkov
  • Lidia N. Boyadjieva

Part of the Topics in Safety, Risk, Reliability and Quality book series (TSRQ, volume 7)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 1-13
  3. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 14-95
  4. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 96-189
  5. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 190-236
  6. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 344-387
  7. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 388-421
  8. Ivan N. Vuchkov, Lidia N. Boyadjieva
    Pages 453-481
  9. Back Matter
    Pages 482-507

About this book

Introduction

Residualplots 74 Normaland half-normal plots 77 2. 3. 10. TRANSFORMATIONS OF VARIABLES 80 2. 3. 11. WEIGHTED LEAST SQUARES 82 2. 4. Bibliography 84 Appendix A. 2. 1. Basic equation ofthe analysis ofvariance 84 Appendix A. 2. 2. Derivation of the simplified formulae (2. 1 0) and (2. 11) 85 Appendix A. 2. 3. Basic properties ofleast squares estimates 86 Appendix A. 2. 4. Sums ofsquares for tests for lack offit 88 Appendix A. 2. 5. Properties ofthe residuals 90 3. DESIGN OF REGRESSION EXPERIMENTS 96 3. 1. Introduction 96 3. 2. Variance-optimality of response surface designs 98 3. 3. Two Ievel full factorial designs 106 3. 3. 1. DEFINITIONS AND CONSTRUCTION 106 3. 3. 2. PROPERTIES OF TWO LEVEL FULL FACTORIAL DESIGNS 109 3. 3. 3. REGRESSION ANALYSIS OF DAT A OBT AlNED THROUGH TWO LEVEL FULL F ACTORIAL DESIGNS 113 Parameter estimation 113 Effects of factors and interactions 116 Statistical analysis of individual effects and test for lack of fit 118 3. 4. Two Ievel fractional factorial designs 123 3. 4. 1. CONSTRUCTION OF FRACTIONAL F ACTORIAL DESIGNS 123 3. 4. 2. FITTING EQUATIONS TO DATA OBTAlNED BY FRACTIONAL F ACTORIAL DESIGNS 130 3. 5. Bloclung 133 3. 6. Steepest ascent 135 3. 7. Second order designs 142 3. 7. 1. INTRODUCTION 142 3. 7. 2. COMPOSITE DESIGNS 144 Rotatable central composite designs 145 D-optimal composite designs 146 Hartley' s designs 146 3. 7. 3.

Keywords

calculus data analysis design engineering design model optimization process design quality regression robust design statistics

Authors and affiliations

  • Ivan N. Vuchkov
    • 1
  • Lidia N. Boyadjieva
    • 1
  1. 1.University of Chemical Technology and MetallurgySofiaBulgaria

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-0009-7
  • Copyright Information Springer Science+Business Media B.V. 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0392-9
  • Online ISBN 978-94-009-0009-7
  • Series Print ISSN 1566-0443
  • About this book
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