Preface |
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ix | |
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1 | (10) |
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1.1 The importance of small variation |
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1 | (1) |
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2 | (2) |
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1.3 Variation propagation |
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4 | (1) |
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5 | (3) |
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6 | (1) |
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1.4.2 The outline of this book |
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7 | (1) |
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8 | (3) |
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2 DOE for robust design, part 1 |
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11 | (16) |
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11 | (2) |
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11 | (1) |
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12 | (1) |
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2.1.3 Control-by-noise interactions |
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12 | (1) |
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2.2 Combined arrays: An example from the packaging industry |
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13 | (8) |
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2.2.1 The experimental array |
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15 | (1) |
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2.2.2 Factor effect plots |
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15 | (2) |
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2.2.3 Analytical analysis and statistical significance |
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17 | (3) |
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2.2.4 Some additional comments on the plotting |
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20 | (1) |
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21 | (2) |
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23 | (2) |
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25 | (2) |
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3 Noise and control factors |
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27 | (26) |
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3.1 Introduction to noise factors |
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27 | (6) |
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3.1.1 Categories of noise |
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28 | (5) |
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3.2 Finding the important noise factors |
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33 | (7) |
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3.2.1 Relating noise to failure modes |
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33 | (1) |
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3.2.2 Reducing the number of noise factors |
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34 | (6) |
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3.3 How to include noise in a designed experiment |
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40 | (8) |
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3.3.1 Compounding of noise factors |
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40 | (5) |
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3.3.2 How to include noise in experimentation |
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45 | (3) |
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48 | (1) |
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48 | (1) |
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49 | (2) |
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51 | (2) |
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4 Response, signal, and P diagrams |
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53 | (16) |
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4.1 The idea of signal and response |
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53 | (2) |
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54 | (1) |
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4.2 Ideal functions and P diagrams |
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55 | (8) |
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4.2.1 Noise or signal factor |
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56 | (1) |
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4.2.2 Control or signal factor |
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56 | (2) |
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58 | (5) |
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63 | (2) |
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4.3.1 Including a signal in a designed experiment |
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64 | (1) |
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65 | (4) |
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5 DOE for robust design, part 2 |
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69 | (32) |
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5.1 Combined and crossed arrays |
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69 | (5) |
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5.1.1 Classical DOE versus DOE for robust design |
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69 | (1) |
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5.1.2 The structure of inner and outer arrays |
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70 | (4) |
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5.2 Including a signal in a designed experiment |
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74 | (15) |
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5.2.1 Combined arrays with a signal |
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74 | (7) |
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5.2.2 Inner and outer arrays with a signal |
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81 | (8) |
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5.3 Crossed arrays versus combined arrays |
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89 | (5) |
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5.3.1 Differences in factor aliasing |
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91 | (3) |
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5.4 Crossed arrays and split-plot designs |
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94 | (4) |
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5.4.1 Limits of randomization |
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94 | (1) |
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95 | (3) |
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98 | (1) |
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99 | (2) |
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6 Smaller-the-better and larger-the-better |
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101 | (30) |
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6.1 Different types of responses |
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101 | (1) |
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6.2 Failure modes and smaller-the-better |
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102 | (4) |
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102 | (1) |
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6.2.2 STB with inner and outer arrays |
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103 | (3) |
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6.2.3 STB with combined arrays |
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106 | (1) |
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106 | (2) |
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108 | (5) |
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110 | (3) |
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113 | (2) |
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115 | (2) |
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Regression for robust design |
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117 | (1) |
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117 | (3) |
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7.2 Analytical minimization of (g'(z))2 |
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120 | (1) |
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7.3 Regression and crossed arrays |
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121 | (7) |
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7.3.1 Regression terms in the inner array |
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127 | (1) |
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128 | (3) |
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8 Mathematics of robust design |
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131 | (24) |
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131 | (1) |
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8.2 The objective function |
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132 | (12) |
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8.2.1 Multidimensional problems |
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136 | (2) |
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8.2.2 Optimization in the presence of a signal |
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138 | (1) |
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139 | (2) |
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141 | (3) |
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8.3 ANOVA for robust design |
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144 | (8) |
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144 | (2) |
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146 | (3) |
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8.3.3 Sensitivity indices |
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149 | (3) |
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152 | (1) |
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153 | (2) |
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9 Design and analysis of computer experiments |
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155 | (22) |
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9.1 Overview of computer experiments |
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156 | (5) |
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157 | (4) |
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9.2 Experimental arrays for computer experiments |
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161 | (6) |
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161 | (2) |
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9.2.2 Space filling designs |
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163 | (2) |
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165 | (1) |
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9.2.4 Latin hypercube designs and alphabetical optimality criteria |
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166 | (1) |
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167 | (4) |
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9.3.1 Local least squares |
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168 | (1) |
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169 | (2) |
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171 | (4) |
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9.4.1 The objective function |
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171 | (2) |
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9.4.2 Analytical techniques or Monte Carlo |
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173 | (2) |
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175 | (1) |
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176 | (1) |
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10 Monte Carlo methods for robust design |
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177 | (18) |
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177 | (2) |
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10.1.1 Electronic circuits |
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179 | (1) |
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10.2 Geometry variation in two dimensions |
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179 | (13) |
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192 | (3) |
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11 Taguchi and his ideas on robust design |
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195 | (14) |
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195 | (2) |
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11.2 The experimental arrays |
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197 | (3) |
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11.2.1 The nature of inner arrays |
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197 | (2) |
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11.2.2 Interactions and energy thinking |
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199 | (1) |
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11.2.3 Crossing the arrays |
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200 | (1) |
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11.3 Signal-to-noise ratios |
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200 | (3) |
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203 | (5) |
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203 | (1) |
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11.4.2 Science versus engineering |
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204 | (1) |
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11.4.3 Line fitting for dynamic models |
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204 | (2) |
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11.4.4 An aspect on the noise |
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206 | (1) |
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207 | (1) |
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208 | (1) |
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208 | (1) |
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Appendix A Loss functions |
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209 | (10) |
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A.1 Why Americans do not buy American television sets |
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209 | (2) |
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A.2 Taguchi's view on loss function |
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211 | (1) |
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A.3 The average loss and its elements |
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211 | (3) |
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A.4 Loss functions in robust design |
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214 | (1) |
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215 | (2) |
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217 | (2) |
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Appendix B Data for chapter 2 |
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219 | (4) |
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Appendix C Data for chapter 5 |
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223 | (8) |
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Appendix D Data for chapter 6 |
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231 | (2) |
Index |
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233 | |