Preface |
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xiii | |
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1 | (24) |
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A Brief Review of Tools for Statistical Inference |
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1 | (15) |
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2 | (2) |
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4 | (4) |
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8 | (1) |
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9 | (7) |
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Experimental Significance |
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16 | (1) |
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Principles of Experimental Design |
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16 | (5) |
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17 | (1) |
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17 | (1) |
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17 | (1) |
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18 | (1) |
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Planning the Test Program |
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19 | (2) |
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The Role of the Statistician in Research |
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21 | (4) |
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21 | (1) |
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Client-Consultant Relationship |
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21 | (1) |
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22 | (3) |
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Statistical Sensory Testing |
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25 | (52) |
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Psychophysical Aspects of Sensory Data |
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25 | (5) |
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27 | (1) |
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27 | (1) |
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28 | (1) |
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Thurstone's Law of Comparative Judgment |
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29 | (1) |
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30 | (5) |
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32 | (2) |
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34 | (1) |
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35 | (1) |
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35 | (2) |
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37 | (13) |
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Edwards' Method of Successive Intervals |
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38 | (8) |
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46 | (4) |
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Distribution of Sensory Data |
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50 | (7) |
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Measures of Shape Distribution |
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50 | (2) |
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Statistical Properties of Subjective Data |
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52 | (3) |
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55 | (2) |
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Selection of Panel Members |
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57 | (20) |
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Criteria Based on Binomial Response |
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57 | (6) |
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Criteria Based on Rating Scale |
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63 | (1) |
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64 | (5) |
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Quality Control Chart for Degree of Difference |
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69 | (5) |
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74 | (3) |
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The Analysis of Variance and Multiple Comparison Tests |
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77 | (36) |
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77 | (21) |
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Assumptions in the Analysis of Variance |
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80 | (1) |
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Fixed- and Random-Effects Models |
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81 | (17) |
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Multiple-Comparison Tests |
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98 | (9) |
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Least Significant Difference Test |
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99 | (1) |
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Dunnett's Test for Multiple Comparisons with a Control |
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100 | (1) |
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Tukey's Studentized Range Test |
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101 | (2) |
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Duncan's Multiple-Range Test |
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103 | (2) |
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Choice of Multiple-Comparison Tests |
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105 | (2) |
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107 | (6) |
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Sample Size for Confidence Interval Estimation |
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109 | (1) |
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Sample Size for Dichotomous Responses |
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110 | (1) |
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111 | (2) |
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113 | (56) |
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Simple Comparative Experiments |
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113 | (8) |
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113 | (2) |
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Paired Comparison Designs |
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115 | (6) |
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Completely Randomized Designs |
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121 | (3) |
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Randomized Complete Block Designs |
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124 | (7) |
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Randomized Complete Block Designs with More Than One Observation per Experimental Unit |
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128 | (3) |
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131 | (11) |
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134 | (4) |
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Partially Replicated Latin Square |
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138 | (4) |
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142 | (11) |
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153 | (16) |
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166 | (3) |
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Incomplete Block Experimental Designs |
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169 | (36) |
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Balanced Incomplete Block Designs |
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169 | (13) |
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Parameters of Balanced Incomplete Block Designs |
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170 | (1) |
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171 | (6) |
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177 | (1) |
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Combining Intrablock and Interblock Estimates |
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177 | (5) |
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Balanced Incomplete Block Designs Augmented with a Control |
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182 | (5) |
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Doubly Balanced Incomplete Block Designs |
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187 | (7) |
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Composite Complete-Incomplete Block Designs |
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194 | (11) |
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198 | (4) |
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202 | (3) |
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205 | (42) |
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The 2n Factorial Experiments |
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206 | (10) |
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The 3n Factorial Experiments |
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216 | (9) |
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The p x q and p x q x k Factorial Experiments |
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225 | (8) |
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Simple Confounding and Fractional Factorial Experiments |
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233 | (14) |
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Confounding in 2n Factorial Experiments |
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234 | (3) |
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237 | (7) |
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244 | (3) |
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Response Surface Designs and Analysis |
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247 | (64) |
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247 | (9) |
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Construction of Response Surfaces |
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251 | (5) |
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Fitting of Response Surfaces and Some Design Considerations |
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256 | (7) |
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Illustrations of Fittings of First- and Second-Order Models |
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263 | (12) |
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275 | (11) |
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Composite Designs from Fractional Factorials |
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282 | (1) |
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282 | (1) |
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283 | (3) |
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286 | (18) |
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Composite Rotatable Designs |
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292 | (2) |
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Arrangements of Composite Designs in Blocks |
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294 | (10) |
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A Response Surface Analysis Approach for Sensory Data |
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304 | (7) |
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308 | (3) |
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Shelf Life Testing Experiments |
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311 | (40) |
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312 | (4) |
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316 | (15) |
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317 | (1) |
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318 | (2) |
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320 | (8) |
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Graphical Test for Failure Distributions |
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328 | (3) |
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331 | (20) |
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340 | (5) |
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345 | (3) |
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348 | (3) |
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Nonparametric Statistical Methods |
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351 | (104) |
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Some Methods for Binary Data |
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351 | (19) |
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Tests for Independent Proportions |
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351 | (8) |
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Tests for Dependent Proportions |
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359 | (5) |
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Combining 2 x 2 Contingency Tables |
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364 | (5) |
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Measure of Association for 2 x 2 Tables |
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369 | (1) |
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Some Methods Based on Ranks |
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370 | (44) |
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Rank Tests for Single and Paired Samples |
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371 | (7) |
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Rank Tests for Two Independent Samples |
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378 | (11) |
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Rank Tests for Multiple Independent Samples |
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389 | (6) |
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Rank Tests for Multiple Related Samples |
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395 | (9) |
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Measures of Association for Ranking Data |
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404 | (10) |
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Some Methods for Categorical Data |
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414 | (24) |
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Contingency Tables and Chi-square Statistics |
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414 | (4) |
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418 | (4) |
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Analysis of r x c Contingency Tables |
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422 | (8) |
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Measures of Association for r x c Contingency Tables |
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430 | (3) |
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Analysis of Square (r x r) Contingency Tables |
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433 | (5) |
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Multidimensional Contingency Tables |
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438 | (17) |
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438 | (1) |
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439 | (2) |
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441 | (2) |
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Numerical Example for Tests for Independence |
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443 | (6) |
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449 | (6) |
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Sensory Difference and Similarity Tests |
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455 | (104) |
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455 | (41) |
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455 | (16) |
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471 | (2) |
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Pair Difference Test (2-AFC) |
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473 | (4) |
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Three-Alternative Forced-Choice Test (3-AFC) |
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477 | (1) |
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478 | (6) |
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484 | (1) |
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Comparisons of Difference Test Designs |
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485 | (11) |
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Sensory Similarity (Equivalence) Tests |
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496 | (18) |
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496 | (1) |
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Similarity Tests Using Forced-Choice Methods |
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497 | (1) |
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Similarity Tests Using the Paired Comparison Method |
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498 | (3) |
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Similarity Tests Using A-Not A and Same-Different Methods |
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501 | (2) |
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Similarity Tests for Continuous Data |
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503 | (3) |
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Similarity Tests for Correlated Data |
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506 | (4) |
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Hypothesis Test and Confidence Interval for Similarity Evaluation |
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510 | (4) |
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Replicated Difference and Similarity Tests |
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514 | (45) |
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514 | (1) |
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The Beta-Binomial (BB) Model |
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515 | (7) |
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Tests Based on the BB Model |
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522 | (10) |
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The Corrected Beta-Binomial (CBB) Model |
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532 | (4) |
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Tests Based on the CBB Model |
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536 | (4) |
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The Dirichlet-Multinomial (DM) Model |
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540 | (5) |
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Tests Based on the DM Model |
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545 | (7) |
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552 | (7) |
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The Method of Paired Comparisons in Sensory Tests and Thurstonian Scaling |
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559 | (82) |
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Paired Comparison Designs |
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559 | (12) |
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Completely Balanced Paired Comparison Designs |
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559 | (5) |
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Incomplete Balanced Paired Comparison Designs |
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564 | (7) |
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571 | (36) |
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571 | (11) |
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The Bradley---Terry Model |
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582 | (14) |
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The Thurstone---Mosteller Model |
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596 | (9) |
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605 | (2) |
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Thurstonian Discriminal Distance d' |
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607 | (17) |
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607 | (2) |
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609 | (5) |
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614 | (6) |
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Tables and S-PLUS Codes for d' and Variance of d' |
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620 | (1) |
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Confidence Intervals and Tests for d' |
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621 | (3) |
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Area Under ROC Curve and R-Index |
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624 | (17) |
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624 | (1) |
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Estimating R-Index and Its Variance |
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625 | (2) |
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Difference Testing Using R-Index |
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627 | (2) |
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Similarity Testing Using R-Index |
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629 | (1) |
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630 | (2) |
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Same-Different Area Theorem |
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632 | (3) |
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635 | (6) |
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Descriptive Analysis and Perceptual Mapping |
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641 | (46) |
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641 | (1) |
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642 | (2) |
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642 | (1) |
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643 | (1) |
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Central Location Consumer Test |
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644 | (1) |
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Hedonic and Intensity Rating Scales |
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644 | (15) |
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Just-About-Right Rating Scale |
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645 | (1) |
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646 | (7) |
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653 | (6) |
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659 | (20) |
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660 | (14) |
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Principal Component Analysis |
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674 | (5) |
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679 | (8) |
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685 | (2) |
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Sensory Evaluation in Cosmetic Studies |
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687 | (34) |
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687 | (19) |
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688 | (3) |
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691 | (7) |
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698 | (3) |
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701 | (5) |
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706 | (15) |
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706 | (4) |
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710 | (8) |
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Fit of Nonlinear Regression Model |
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718 | (1) |
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719 | (2) |
Appendix |
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721 | (108) |
References |
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829 | (16) |
Index |
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845 | (6) |
Food Science and Technology: International Series |
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851 | |