List of Abbreviations VII
Symbols IX
1 What is Chemometrics? 1
1.1 The Computer-Based Laboratory 2
1.2 Statistics and Data Interpretation 10
1.3 Computer-Based Information Systems/Artificial Intelligence 11
General Reading 12
Questions and Problems 13
2 Basic Statistics 15
2.1 Descriptive Statistics 16
2.2 Statistical Tests 28
2.3 Analysis of Variance 44
General Reading 50
Questions and Problems 52
3 Signal Processing and Time Series Analysis 55
3.1 Signal Processing 56
3.2 Time Series Analysis 83
General Reading 90
Questions and Problems 91
4 Optimization and Experimental Design 93
4.1 Systematic Optimization 94
4.2 Objective Functions and Factors 95
4.3 Experimental Design and Response Surface Methods 102
4.4 Sequential Optimization: Simplex Method 125
General Reading 132
Questions and Problems 133
5 Pattern Recognition and Classification 135
5.1 Preprocessing of Data 137
5.2 Unsupervised Methods 140
5.3 Supervised Methods 184
General Reading 209
Questions and Problems 210
6 Modeling 213
6.1 Univariate Linear Regression 214
6.2 Multiple Linear Regression 231
6.3 Nonlinear Methods 258
General Reading 269
Questions and Problems 271
7 Analytical Databases 273
7.1 Representation of Analytical Information 274
7.2 Library Search 286
7.3 Simulation of Spectra 292
General Reading 294
Questions and Problems 295
8 Knowledge Processing and Soft Computing 297
8.1 Artificial Intelligence and Expert Systems 297
8.2 Neural Networks 306
8.3 Fuzzy Theory 321
8.4 Genetic Algorithms and Other Global Search Strategies 334
General Reading 342
Questions and Problems 344
9 Quality Assurance and Good Laboratory Practice 345
9.1 Validation and Quality Control 346
9.2 Accreditation and Good Laboratory Practice 351
General Reading 352
Questions and Problems 353
Appendix 355
Index 371