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xi | |
Preliminaries |
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3 | (1) |
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Classical Versus Modern Psychophysics |
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3 | (1) |
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On the Uniqueness of Models and Representations |
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4 | (2) |
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6 | (1) |
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On the Content of This Book |
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7 | (2) |
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9 | (2) |
Part I. BACKGROUND |
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11 | (100) |
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13 | (37) |
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14 | (4) |
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Equivalence Relations, Partitions, Functions |
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18 | (5) |
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Algebraic Theory-Weak Orders |
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23 | (7) |
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30 | (8) |
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38 | (8) |
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46 | (4) |
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50 | (26) |
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Construction of a Physical Scale for Length |
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51 | (7) |
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Axioms for Extensive Measurement |
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58 | (2) |
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60 | (2) |
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62 | (3) |
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65 | (6) |
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Reference Notes-Further Developments |
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71 | (1) |
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72 | (4) |
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76 | (35) |
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Cauchy and Related Equations |
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81 | (9) |
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90 | (2) |
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*Normal Distribution of Sensory Variables |
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92 | (3) |
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95 | (2) |
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97 | (4) |
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101 | (2) |
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103 | (3) |
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106 | (5) |
Part II. THEORY |
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111 | (242) |
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113 | (20) |
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Gustav Theodor Fechner, the Psychophysicist |
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113 | (1) |
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Construction of a Fechnerian Scale |
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114 | (4) |
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118 | (1) |
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Psychophysical Discrimination Systems |
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119 | (3) |
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Some Necessary Conditions |
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122 | (1) |
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Representations and Uniqueness Theorem |
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122 | (1) |
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123 | (7) |
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130 | (1) |
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130 | (3) |
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133 | (18) |
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134 | (2) |
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Thurstone's Law of Comparative Judgments |
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136 | (3) |
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*Extreme Value Distributions and the Logistic Model |
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139 | (4) |
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Bradley-Terry-Luce Representations |
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143 | (3) |
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A Model Inconsistent with a Fechnerian Representation |
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146 | (1) |
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147 | (1) |
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148 | (1) |
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149 | (2) |
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151 | (21) |
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156 | (2) |
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Parallel Psychometric Families |
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158 | (3) |
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161 | (5) |
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Necessary Conditions for the Existence of a Subtractive Representation |
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166 | (1) |
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167 | (3) |
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170 | (1) |
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170 | (2) |
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*Further Topics on Psychometric Functions |
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172 | (27) |
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Redefining Psychometric Families |
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174 | (6) |
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180 | (5) |
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185 | (6) |
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Representation and Uniqueness Theorems for Subtractive Families |
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191 | (5) |
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Random Variables Representations |
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196 | (1) |
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197 | (2) |
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Sensitivity Functions-Weber's Law |
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199 | (22) |
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Sensitivity Functions, Weber Functions |
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201 | (2) |
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Linear Psychometric Families-Weber's Law |
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203 | (7) |
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Alternatives to Weber's Law |
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210 | (5) |
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215 | (2) |
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Fechner's Problem Revisited |
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217 | (2) |
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219 | (2) |
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221 | (12) |
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Traditional Psychophysical Methods |
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221 | (2) |
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223 | (8) |
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231 | (1) |
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232 | (1) |
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233 | (27) |
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234 | (2) |
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A Random Variable Model for ROC Curves |
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236 | (3) |
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ROC Analysis and Likelihood Ratios |
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239 | (5) |
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ROC Analysis and the Forced Choice Paradigm |
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244 | (3) |
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ROC Analysis of Rating Scale Data |
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247 | (2) |
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249 | (2) |
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251 | (3) |
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Rating Data and the Threshold Theory |
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254 | (2) |
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A General Signal Detection Model |
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256 | (2) |
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258 | (1) |
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259 | (1) |
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Psychophysics with Several Variables or Channels |
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260 | (24) |
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A General Model for Two-Channel Detection |
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260 | (3) |
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263 | (5) |
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Two Addditive Pooling Rules |
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268 | (2) |
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Additive Conjoint Measurement-The Algebraic Model |
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270 | (2) |
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Random Additive Conjoint Measurement |
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272 | (5) |
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Probabilistic Conjoint Measurement |
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277 | (2) |
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279 | (2) |
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281 | (1) |
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282 | (2) |
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284 | (21) |
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The Conjoint Weber's Laws-Outline |
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285 | (2) |
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The Conjoint Weber's Law-Results |
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287 | (6) |
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*The Strong Conjoint Weber's Laws |
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293 | (7) |
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*The Conjoint Weber's Inequality |
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300 | (1) |
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Shift Invariance in Loudness Recruitment |
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301 | (2) |
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303 | (2) |
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Scaling and the Measurement of Sensation |
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305 | (20) |
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305 | (1) |
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Unidimensional Scaling Methods |
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306 | (5) |
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The Krantz-Shepard Theory |
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311 | (4) |
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315 | (2) |
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The Measurement of Sensation-Sources of the Controversy |
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317 | (5) |
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Two Positions Concerning the Scaling of Sensory Magnitudes |
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322 | (1) |
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Why a Psychophysical Scale? |
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323 | (1) |
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324 | (1) |
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Meaningful Psychophysical Laws |
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325 | (28) |
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327 | (3) |
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330 | (1) |
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Meaningful Families of Numerical Codes |
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331 | (6) |
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*Isotone and Dimensionally Invariant Families of Numerical Codes |
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337 | (4) |
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An Application in Psychoacoustics |
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341 | (4) |
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345 | (1) |
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345 | (6) |
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351 | (2) |
References |
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353 | (13) |
Answers or Hints to Selected Exercises |
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366 | (11) |
Author Index |
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377 | (4) |
Subject Index |
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381 | |