Statistical Methods in Food and Consumer Research (eBook)

Front Cover 1
Statistical Methods in Food and Consumer Research 4
Copyright Page 5
Table of Contents 8
Dedication 6
PREFACE 12
Chapter 1. Introduction 18
1.1 A Brief Review of Tools for Statistical Inference 18
1.2 Principles of Experimental Design 32
1.3 The Role of the Statistician in Research 37
Exercises 38
Chapter 
40 
2.1 Psychophysical Aspects of Sensory Data 40
2.2 Scales of Measurement 44
2.3 Scale Structures 50
2.4 Construction of a Scale 52
2.5 Distribution of Sensory Data 70
Exercises 77
Chapter 3. The Analysis of Variance and Multiple Comparison Tests 79
3.1 Analysis of Variance 79
3.2 Multiple-Comparison Tests 101
3.3 Sample Size Estimation 110
Exercises 113
Chapter 
116 
4.1 Simple Comparative Experiments 116
4.2 Completely Randomized Designs 122
4.3 Randomized Complete Block Designs 126
4.4 Latin Square Designs 131
4.5 Changeover Designs 145
Exercises 156
Chapter 
158 
5.1 Balanced Incomplete Block Designs 158
5.2 Balanced Incomplete Block Designs Augmented with a Control 171
5.3 Doubly Balanced Incomplete Block Designs 177
5.4 Composite Complete-Incomplete Block Designs 183
Exercises 190
Chapter 
193 
6.1 The 2n Factorial Experiments 194
6.2 The 3n Factorial Experiments 202
6.3 The p x q and p x q x k Factorial Experiments 212
6.4 Simple Confounding and Fractional Factorial Experiments 220
Exercises 230
Chapter 
231 
7.1 General Concepts 231
7.2 Fitting of Response Surfaces and Some Design Considerations 240
7.3 Illustrations of Fittings of First- and Second-Order Models 246
7.4 Composite Designs 258
7.5 Rotatable Designs 268
7.6 A Response Surface Analysis Approach for Sensory Data 285
Exercises 289
Chapter 
291 
8.1 Hazard Function 292
8.2 Shelf Life Models 296
8.3 Regression Analysis 311
Exercises 328
Chapter 9. Nonparametric Statistical Methods 330
9.1 Some Nonparametric Tests for Comparing Two Populations 331
9.2 Testing for Independence 346
9.3 Analysis of Categorical Data 350
9.4 Testing for Randomness of Rankings of Treatments 363
9.5 Multidimensional Contingency Tables 367
Exercises 375
Chapter 
377 
10.1 Triangle Test 377
10.2 Duo-Trio Test 390
10.3 Pair Difference Test 393
10.4 Comparisons of Difference Test Designs 396
10.5 Selection of Panel Members 399
Exercises 405
Chapter 
407 
11.1 Completely Balanced Paired Comparison Designs 407
11.2 Incomplete Balanced Paired Comparison Designs 411
11.3 Models for Data Analysis 418
11.4 Choice of Models 449
Exercises 450
APPENDIX: STATISTICAL TABLES 453
REFERENCES 507
INDEX 518