Preface |
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xi | |
I. CONCEPTS METHODS AND CASE STUDIES |
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1 | (26) |
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1. PROCESS OPTIMISATION THROUGH INDUSTRIAL EXPERIMENTATION |
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3 | (14) |
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1.1 OBJECTIVES OF INDUSTRIAL EXPERIMENTATION FOR QUALITY IMPROVEMENT |
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3 | (1) |
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1.2 A SIMPLE MODEL OF A MANUFACTURING PROCESS |
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4 | (2) |
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6 | (6) |
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1.4 STATISTICALLY PLANNED (DESIGNED) EXPERIMENTS |
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12 | (3) |
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1.5 PLANNING A RESEARCH PROGRAMME |
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15 | (2) |
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2. ENGINEERING CASE STUDIES |
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17 | (10) |
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2.1 THE AUSFORMING PROCESS |
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17 | (1) |
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18 | (1) |
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2.3 HOT FORGED COPPER POWDER COMPACTS |
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18 | (3) |
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2.4 CLOSED DIE FORGING OF AERO ENGINE DISKS |
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21 | (2) |
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23 | (1) |
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2.6 THE INJECTION MOULDING EXPERIMENT |
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24 | (1) |
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2.7 THE SPRING FREE HEIGHT EXPERIMENT |
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25 | (1) |
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2.8 THE PRINTING PROCESS STUDY |
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26 | (1) |
II. LINEAR EXPERIMENTAL DESIGNS |
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27 | (28) |
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3. THE 2^k EXPERIMENTAL DESIGN: FULL FACTORIALS |
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29 | (10) |
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3.1 THE 2^2 FACTORIAL DESIGN |
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29 | (4) |
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3.1.1 A Traditional Design |
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29 | (1) |
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3.1.2 A Full 2^2 Factorial Design in Standard Order Form |
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30 | (2) |
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3.1.3 A Geometric Representation of the 2^2 Experimental Design |
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32 | (1) |
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3.2 THE 2^3 FACTORIAL DESIGN |
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33 | (3) |
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3.2.1 A Geometric Representation of the 2^2 Experimental Design |
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33 | (1) |
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3.2.2 Standard Order Form for the 2^3 Factorial Experiment |
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33 | (2) |
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3.2.3 An Example of a Replicated 2^3 Factorial Experiment |
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35 | (1) |
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3.3 THE 2^K FACTORIAL DESIGN |
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36 | (3) |
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3.3.1 Standard Order Form for the 2^5 Factorial Experiment |
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36 | (1) |
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3.3.2 General Comments on the 2^k Designs |
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36 | (3) |
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4. THE 2^k-p EXPERIMENTAL DESIGN: FRACTIONAL FACTORIALS |
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39 | (16) |
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39 | (1) |
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4.2 THE ONE HALF FRACTION OF THE 2^K DESIGN |
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40 | (3) |
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4.2.1 Step One: Defining the Base Design |
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40 | (1) |
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4.2.2 Step Two: Introduction of the Remaining Factor |
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40 | (3) |
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4.3 OTHER FRACTIONAL FACTORIAL DESIGNS |
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43 | (2) |
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4.3.1 Step One: Defining the Base Design. |
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43 | (1) |
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4.3.2 Step two: Introduction of the Remaining Factors |
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43 | (2) |
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4.4 A 2^7-3IV DESIGN FOR THE AUSFORMING PROCESS |
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45 | (1) |
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4.5 TAGUCHI'S ORTHOGONAL ARRAYS |
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46 | (9) |
III. OPTIMISATION OF LINEAR PROCESSES |
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55 | (174) |
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5. CONTROLLING THE MEAN: LOCATION EFFECTS IN LINEAR DESIGNS |
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57 | (52) |
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5.1 DEFINITION OF LOCATION EFFECTS |
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57 | (3) |
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5.1.1 Control of a Mean Quality Characteristic using Main Location Effects |
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57 | (1) |
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5.1.2 Control of a Mean Quality using First Order Interaction Location Effects |
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58 | (1) |
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5.1.3 Higher Order Interaction Location Effects |
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59 | (1) |
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5.2 METHODS OF CONTROLLING THE MEAN QUALITY CHARACTERISTICS |
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60 | (4) |
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5.2.1 A Control Matrix for the Mean of a Quality Characteristic |
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60 | (2) |
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5.2.2 A First Order Response Surface Model for the Mean. |
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62 | (2) |
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5.3 THE YATES AND LEAST SQUARES PROCEDURES FOR ESTIMATING LOCATION EFFECTS |
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64 | (4) |
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5.3.1 The Yates Technique |
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64 | (2) |
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5.3.2 The Least Squares Technique |
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66 | (2) |
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5.4 LOCATION EFFECTS ESTIMATED FROM FRACTIONAL DESIGNS |
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68 | (8) |
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70 | (3) |
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5.4.2 Taguchi Designs and Aliasing |
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73 | (1) |
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5.4.3 Yates Technique for Fractional Factorials |
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74 | (2) |
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5.5 LOCATION EFFECTS IN THE AUSFORMING PROCESS |
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76 | (33) |
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5.5.1 The First Two Factors Only |
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76 | (4) |
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5.5.2 The First Three Factors Only |
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80 | (5) |
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5.5.3 The First Five Factors Only |
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85 | (16) |
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5.5.4 All Seven Factors of the Ausforming Process |
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101 | (8) |
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6. TESTING THE IMPORTANCE OF LOCATION EFFECTS IN THE 2^K DESIGN |
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109 | (28) |
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6.1 A DISTRIBUTION OF EFFECT ESTIMATES |
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109 | (5) |
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6.2 THE STANDARD DEVIATION OF A LOCATION EFFECT ESTIMATE |
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114 | (2) |
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6.3 THE t TEST IN A REPLICATED DESIGN |
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116 | (6) |
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116 | (2) |
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6.3.2 Application of the t Test to the 2^3 Ausforming Experiment |
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118 | (4) |
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6.4 THE t TEST WITHIN THE LEAST SQUARES PROCEDURE |
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122 | (3) |
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6.5 A GRAPHICAL TEST FOR THE IMPORTANCE OF LOCATION EFFECTS |
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125 | (12) |
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125 | (3) |
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6.5.2 Illustration of Graphical Test Using the High Strength Steel Case Study |
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128 | (4) |
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6.5.3 Illustration of Graphical Test Using the Ausforming Process |
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132 | (5) |
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7. CONTROLLING PROCESS VARIABILITY: DISPERSION EFFECTS IN LINEAR DESIGNS |
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137 | (72) |
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7.1 NOISE - DESIGN FACTOR INTERACTIONS AND PROCESS VARIABILITY |
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138 | (3) |
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7.2 A GENERALISED RESPONSE SURFACE APPROACH TO PROCESS VARIABILITY |
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141 | (2) |
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7.3 AN APPLICATION TO THE 2^5 DESIGN ON THE AUSFORMING |
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143 | (3) |
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7.4 PREDICTION ERRORS AND PROCESS VARIABILITY |
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146 | (2) |
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7.4.1 Estimate a Simplified Response Surface Model of the Process |
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146 | (1) |
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7.4.2 Calculate the Prediction Error Variability at Each Factor Level |
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146 | (1) |
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7.4.3 Testing the Importance of Dispersion Effects |
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147 | (1) |
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7.5 THE DISK FORGING OPERATION EXPERIMENT |
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148 | (11) |
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7.5.1 Estimate a Simplified Model of the Process |
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149 | (1) |
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7.5.2 Calculate the Error Variability at Each Factor Level |
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149 | (10) |
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7.5.3 Testing the Importance of Dispersion Effects |
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159 | (1) |
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7.6 A GENERALISED LINEAR MODEL |
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159 | (12) |
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7.6.1 Inner and Outer Arrays |
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159 | (1) |
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7.6.2 Simple Summary Statistics |
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160 | (4) |
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7.6.3 The Tendency for Process Mean and Variability to Move Together |
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164 | (2) |
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7.6.4 PerMIA Summary Statistics |
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166 | (2) |
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7.6.5 Step 1 Identify All the Control Factors |
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168 | (2) |
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7.6.6 Step 2. Obtain Reliable Estimates of the Dispersion Effects for All the Control Factors |
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170 | (1) |
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7.7 THE COPPER COMPACT EXPERIMENT |
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171 | (13) |
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7.7.1 Step 1. Identify All the Control Factors for Making Copper Compacts |
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172 | (10) |
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7.2.2 Step 2. Reliable Estimates of the Dispersion Effects for Making Copper Compacts |
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182 | (2) |
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7.8. COMPARING THE RESPONSE SURFACE AND GENERALISED LINEAR MODELS USING THE INJECTION MOULDING EXPERIMENT |
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184 | (25) |
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185 | (3) |
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7.8.2 Analysis of the Data |
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188 | (21) |
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7.8.2.1 The Blind Use of the (S-N)t Ratio |
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191 | (3) |
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7.8.2.2 The Lack of Analysis for Noise Factors |
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194 | (15) |
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8. LINEAR PROCESS OPTIMISATION |
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209 | (20) |
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8.1 A TWO STEP PROCESS OPTIMISATION PROCEDURE |
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209 | (5) |
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209 | (3) |
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212 | (2) |
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8.2 ILLUSTRATIONS OF PROCESS OPTIMISATION |
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214 | (17) |
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8.2.1 The Ausforming Process |
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214 | (4) |
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8.2.2 The Copper Compact Experiment |
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218 | (4) |
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8.2.3 The Injection Moulding Experiment |
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222 | (4) |
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8.2.4 Optimising the Disk Forging Operation |
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226 | (3) |
IV. NON LINEAR EXPERIMENTAL DESIGNS |
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229 | (54) |
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9. SOME NON LINEAR EXPERIMENTAL DESIGNS |
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231 | (24) |
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231 | (4) |
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9.2 A 3^2 DESIGN FOR THE FRICTION WELDING CASE STUDY |
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235 | (1) |
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9.3 CENTRAL COMPOSITE DESIGNS |
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236 | (6) |
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9.4 A CENTRAL COMPOSITE DESIGN FOR THE LINEAR FRICTION WELDING CASE STUDY |
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242 | (3) |
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9.5 THE BOX-BEHNKEN DESIGN |
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245 | (5) |
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9.5.1 Find all Combinations of Two |
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245 | (1) |
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9.5.2 Form 2^2 Designs for all Pairings |
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246 | (2) |
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9.5.3 Replication of Centre Points |
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248 | (2) |
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9.6 MIXED LEVEL FACTORIAL DESIGNS |
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250 | (5) |
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9.6.1 Factors at Two and Three Levels |
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251 | (2) |
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9.6.2 Factors at Two and Four levels |
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253 | (2) |
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10. LINEAR AND NON LINEAR EFFECTS |
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255 | (28) |
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255 | (5) |
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10.2 THE SECOND ORDER RESPONSE SURFACE MODEL |
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260 | (4) |
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10.2.1 Structure of the Second Order Response Surface Model |
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260 | (1) |
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10.2.2 Some Models for the 3k Design |
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261 | (2) |
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10.2.3 Some Models for the Central Composite and Box Behnken Designs |
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263 | (1) |
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10.2.4 A Model for Mixed Factorial Designs |
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263 | (1) |
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10.3 ESTIMATING RESPONSE SURFACE MODELS |
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264 | (8) |
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10.3.1 Estimating a Second Order Response Surface Model |
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264 | (2) |
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10.3.2 Estimating Some Response Surface Models using Data from a 3^2 Design |
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266 | (3) |
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10.3.3 Estimating Some Response Surface Models using Data from a 3^3 Design |
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269 | (2) |
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10.3.4 Estimating Some Response Surface Models using Data from a Central Composite Design |
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271 | (1) |
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10.4 ANALYSIS OF THE FRICTION WELDING EXPERIMENT |
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272 | (13) |
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10.4.1 The First Two Process Variables |
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272 | (6) |
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10.4.2 All Three Process Variables |
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278 | (5) |
V. OPTIMISATION OF NON LINEAR PROCESSES |
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283 | (32) |
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285 | (12) |
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11.1 SEQUENTIAL TESTING AND THE PATH OF STEEPEST ASCENT |
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285 | (3) |
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11.2 SEQUENTIAL EXPERIMENTATION FOR THE AUSFORMING PROCESS |
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288 | (9) |
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11.2.1 The First Two Factors Only |
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288 | (6) |
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11.2.2 The First Five Factors |
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294 | (3) |
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12. DUAL RESPONSE SURFACE METHODOLOGIES |
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297 | (18) |
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12.1 THE DUAL RESPONSE SURFACE METHODOLOGY |
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297 | (4) |
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12.1.2 Minimise Variability Subject to a Mean Constraint |
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298 | (3) |
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12.1.2 Minimise the Mean Square Error |
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301 | (1) |
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12.2 THE PRINTING PROCESS CASE STUDY |
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301 | (14) |
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301 | (1) |
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302 | (2) |
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12.2.3 The Modelled Response Surface |
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304 | (1) |
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12.2.4 Minimise Variability Subject to a Mean Constraint |
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304 | (8) |
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12.2.5 The Mean Square Error |
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312 | (3) |
REFERENCES |
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315 | (2) |
INDEX |
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317 | |