Introduction to Design of Experiments with JMP Examples, Third Edition (SAS Press)

Contents......Page 4
Gaining Knowledge with Design of Experiments......Page 16
The Process of Knowledge Acquisition......Page 17
Studying a Phenomenon......Page 20
Factor Types......Page 21
Experimental Space......Page 22
Factor Domain......Page 23
Study Domain......Page 24
Centered and Scaled Variables......Page 26
Experimental Points......Page 28
Methodology of Designs without Constraints......Page 29
Methodology of Designs with Constraints......Page 30
The Response Surface......Page 32
The a priori Mathematical Model of the Response......Page 33
Introduction......Page 36
Preparing the Designed Experiment......Page 37
Choosing the Design......Page 39
Running the Experiment......Page 42
Interpreting the Coefficients......Page 43
Interpreting the Results......Page 55
Introduction......Page 60
Preparing the Designed Experiment......Page 61
Choosing the Design......Page 66
Running the Experiment......Page 68
Interpreting the Results......Page 69
Study Conclusion......Page 82
Introduction......Page 84
Preparing the Designed Experiment......Page 85
Choosing the Design......Page 88
Running the Experiment......Page 89
Interpreting the Results......Page 91
Desirability Functions......Page 98
Study Conclusion......Page 106
Statistical Concepts for Designed Experiments......Page 108
Introduction......Page 109
Preparing the Designed Experiment......Page 110
Experimentation......Page 112
Interpreting the Results of the Calculations......Page 113
Statistical Concepts Used in DOE......Page 114
Factors and Influential Interactions......Page 128
Analysis of Variance (ANOVA)......Page 130
Application......Page 134
Residual Analysis......Page 140
Study Conclusion......Page 141
Fractional Factorial and Screening Designs......Page 146
Introduction......Page 147
Preparing the Designed Experiment......Page 148
Running the Experiment......Page 150
Interpreting the Results......Page 151
Alias Theory......Page 152
Definition of Contrasts......Page 153
New Interpretation Hypotheses......Page 155
Box Notation......Page 156
Operations on the Column of Signs......Page 157
Basic Design......Page 159
Equivalence Relation......Page 161
Alias Generating Function of the Upper Half Design......Page 162
Alias Generating Function of the Lower Half Design......Page 163
Practical Construction of a Fractional Factorial Design......Page 164
2(3) Full Factorial Design......Page 166
2(4-1) Fractional Factorial\r......Page 167
2(5-2) Fractional Factorial\r......Page 169
2(7-4) Fractional Factorial\r......Page 171
Aliasing Theory with the Tellurium Example......Page 172
Application of the Interpretation Assumption to the Tellurium Example......Page 173
Study Conclusion......Page 174
Examples of Fractional Factorial Designs......Page 176
Introduction......Page 177
Preparing the Designed Experiment......Page 178
Carrying Out the Experiment......Page 180
Interpreting the Results......Page 181
Study Conclusion......Page 188
Preparing the Designed Experiment......Page 189
Interpreting the Results......Page 195
Building the Complementary Design......Page 205
Study Conclusion......Page 211
Preparing the Designed Experiment......Page 213
Interpreting the Results......Page 216
Study Conclusion......Page 219
Trial Order and Blocking......Page 220
Introduction......Page 221
The Nature of Errors......Page 222
Blocking......Page 223
Anti-Drift Designs......Page 224
Random Variation......Page 225
Small Systematic Variations......Page 226
Preparing the Designed Experiment......Page 227
Constructing the Plan and Checking the Blocking Advantage......Page 229
Carrying Out the Trials......Page 232
Interpreting the Results......Page 233
Study Conclusion......Page 239
Preparing the Designed Experiment......Page 240
Running the Experiment......Page 243
Interpreting the Results......Page 245
Study Conclusion......Page 247
Introduction......Page 248
Preparing the Designed Experiment......Page 251
Carrying Out the Trials......Page 252
Interpreting the Results......Page 253
Study Conclusion......Page 256
Advantages and Dangers of Randomization......Page 257
Response Surface Designs......Page 260
Composite Designs......Page 262
Box-Behnken Designs......Page 264
Doehlert Designs......Page 265
Preparing the Designed Experiment......Page 270
Responses and Objectives of the Study......Page 271
Choosing the Design......Page 272
Interpreting the Factorial Design Results......Page 273
Positions of Star Points......Page 275
Second-Degree Complementary Design......Page 277
Modeling......Page 278
Graphical Representation of the Results......Page 279
Study Conclusion......Page 283
Preparing the Designed Experiment......Page 284
Factors......Page 285
Experimentation......Page 286
Model......Page 287
Interpreting the Results......Page 289
Study Conclusions......Page 291
Factors and Study Domain......Page 292
Experimentation......Page 293
Calculating the Coefficients......Page 294
Modeling......Page 296
Graphical Representation of the Results......Page 297
Study Conclusion......Page 301
Mixture Designs......Page 302
Introduction......Page 303
Two-Component Mixtures......Page 304
Reading a Binary Mixture Plot......Page 306
Reading a Ternary Mixture Plot......Page 308
Four-Component Mixture......Page 309
Simplex-Lattice Designs......Page 310
Simplex-Centroid Designs......Page 312
Augmented Simplex-Centroid Designs......Page 313
First-Degree Models......Page 314
Second-Degree Models......Page 315
Third-Degree Models......Page 316
Preparing the Designed Experiment......Page 317
Running the Experiment......Page 318
Interpreting the Results......Page 319
Study Conclusion......Page 321
The Concept of Optimal Designs......Page 322
Hotelling’s Example......Page 323
Weighing and Experimental Design......Page 326
Standard Method......Page 327
Hotelling’s Method......Page 328
Optimality......Page 329
Computing Optimal Designs......Page 330
Optimal Designs with a Linear Model......Page 334
When to Use Optimal Designs......Page 337
Adaptability of Optimal Designs......Page 338
Preparing the Designed Experiment......Page 341
Using a 2(3) Factorial with Center Points......Page 342
Using a D-Optimal Design with Repetitions\r......Page 345
Preparing the Designed Experiment......Page 348
The Design......Page 350
Running the Experiment......Page 351
Analysis of the 28-Run Design......Page 352
Study Conclusion......Page 355
Why a Design Can Be Bad......Page 358
Preparing the Designed Experiment......Page 359
Interpreting the Results......Page 360
Study Conclusion......Page 364
Latin Squares and Similar Designs......Page 366
Introduction......Page 367
Mathematical Model......Page 368
Global Effect of a Factor......Page 370
Preparing the Designed Experiment......Page 371
Mathematical Model......Page 372
Effect of the Factors......Page 374
Analysis of Sums of Squares......Page 376
Latin Squares......Page 380
Greco-Latin Squares......Page 382
Youden Squares......Page 383
Running the Experiment......Page 385
Interpreting the Results......Page 386
Study Conclusion......Page 388
Summary and Advice......Page 390
Posing the Problem Well......Page 391
Preliminary Questions......Page 393
Choosing a Design......Page 396
Critical Examination......Page 397
What to Do Next......Page 399
Progressively Acquiring Knowledge......Page 400
What Experiments Cannot Do......Page 401
Using JMP to Design Experiments......Page 404
Designing an Experiment......Page 405
Screening Designer (Classical Designs Only)......Page 406
Custom Designer (Classical and Other Optimal Designs)......Page 408
The JMP Data Table......Page 411
Choosing and Fitting a Model......Page 413
The Screening Designer......Page 416
Examining and Analyzing Results......Page 417
Principal Graphics and Analysis Reports......Page 419
Transferring and Saving Analysis Results......Page 421
Example Data Sources......Page 424
Comparing Two Independent Means......Page 428
Introduction to Matrix Calculations......Page 430
C1.1 Definitions......Page 431
C2.1 Definitions for Square Matrices......Page 433
C3.1 Matrix Operations......Page 436
C4.1 Matrix Algebra......Page 441
C5.1 Special Matrices......Page 442
Recommended Readings......Page 446
Works and General Articles......Page 447
Application of Designed Experiments......Page 452
Index......Page 454