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1. | Representing Response Times as Random Variables | 1 |
1.1 | The Study of Response Times | 1 |
1.2 | Random Variables | 7 |
1.3 | Several Random Variables | 20 |
1.4 | Generating Functions | 30 |
1.5 | Elementary Concepts of Stochastic Processes | 41 |
Part I. | Detection Paradigms | 47 |
2. | Simple Reaction Times: Basic Data | 49 |
2.1 | The Problem | 49 |
2.2 | The Simple Reaction-Time Paradigm | 51 |
2.3 | Effect of Signal Properties on Reaction Time | 58 |
2.4 | Effect of Foreperiod on Reaction Time | 71 |
2.5 | Speed-Accuracy Tradeoff | 81 |
2.6 | The Response and Reaction Time | 90 |
2.7 | What Faces a Model Builder? | 94 |
3. | Decomposition into Decision and Residual Latencies | 96 |
3.1 | Independent, Additive Stage Latencies | 96 |
3.2 | Specific Assumptions | 99 |
3.3 | Manipulation of Stages | 114 |
3.4 | Conclusions | 121 |
4. | Distributions of Simple Decision Latencies | 122 |
4.1 | Empirical Distributions | 122 |
4.2 | Discrete-Time, Information-Accumulation Detectors | 139 |
4.3 | Continuous-Time, Information-Accumulation Detectors | 149 |
4.4 | Race Between Level and Change Detectors | 159 |
4.5 | Conclusions | 173 |
5. | Detection of Signals Presented at Irregular Times | 175 |
5.1 | Introduction | 175 |
5.2 | Vigilance at Low Signal Rates | 176 |
5.3 | Vigilance at High Signal Rates | 178 |
5.4 | Interaction of Two Signals in Close Succession | 185 |
5.5 | Conclusions | 200 |
Part II. | Identification Paradigms | 203 |
6. | Two-Choice Reaction Times: Basic Ideas and Data | 205 |
6.1 | General Considerations | 205 |
6.2 | Relations to Simple Reaction Times | 208 |
6.3 | A Conceptual Scheme for Tradeoffs | 218 |
6.4 | Discriminability and Accuracy | 224 |
6.5 | Speed-Accuracy Tradeoff | 236 |
6.6 | Sequential Effects | 253 |
6.7 | Conclusions | 271 |
7. | Mixture Models | 273 |
7.1 | Two-State Mixtures | 274 |
7.2 | A Linear Operator Model for Sequential Effects | 278 |
7.3 | Data With Few Response Errors | 281 |
7.4 | The Fast Guess Account of Errors | 286 |
7.5 | A Three-State, Fast-Guess, Memory Model | 294 |
7.6 | Data With Response Errors: Highly Discriminable Stimuli | 299 |
7.7 | Data With Response Errors: Confusable Signals | 308 |
7.8 | Conclusions | 316 |
8. | Stochastic Accumulation of Information in Discrete Time | 319 |
8.1 | Accumulator Models | 320 |
8.2 | Random Walks With Boundaries | 326 |
8.3 | Restrictions on the Random Walk Model | 340 |
8.4 | Modifications of the Random Walk | 349 |
8.5 | Data | 352 |
8.6 | Conclusions | 366 |
9. | Stochastic Accumulation of Information in Continuous Time | 367 |
9.1 | Introduction | 367 |
9.2 | Additive Processes | 368 |
9.3 | Renewal Processes | 379 |
9.4 | Conclusions | 388 |
10. | Absolute Identification of More Than Two Signals | 389 |
10.1 | Types of Designs with More than Two Signals | 389 |
10.2 | Experiments with Few Errors: Mean Times | 390 |
10.3 | Experiments with Few Errors: Sequential Effects | 399 |
10.4 | Experiments With Errors | 410 |
10.5 | Conclusions | 421 |
Part III. | Matching Paradigms | 423 |
11. | Memory Scanning, Visual Search, and Same-Difference Designs | 425 |
11.1 | Memory Scanning and Visual Search | 425 |
11.2 | The Serial, Exhaustive Search Model | 427 |
11.3 | Alternative Models | 431 |
11.4 | Same-Difference experiments | 445 |
11.5 | Conclusions | 454 |
12. | Processing Stages and Strategies | 456 |
12.1 | Introduction | 456 |
12.2 | Serial-Parallel Equivalences | 457 |
12.3 | Simultaneous Accounts of Several Experiments | 464 |
12.4 | Selective Manipulation of Stages | 472 |
12.5 | Conclusions | 490 |
Appendixes | 493 | |
A. | Asymptotic Results for Independent Random Variables | 495 |
A.1 | Serial Models: Sum of Random Variables | 495 |
A.2 | Parallel Models: Maxima of Independent Identical Random Variables | 502 |
B. | Properties of Continuous Distributions for Simple Reaction Times | 507 |
B.1 | Theoretically Based Distributions | 507 |
B.2 | Ad Hoc Distributions | 510 |
C. | Experimental Data | 512 |
C.1 | Yellott (1971), Experiment 3 Data | 512 |
C.2 | Ollman (1970), Experiment 2 Data | 514 |
C.3 | Laming (1968), Experiment 2 Data | 515 |
C.4 | Link (1975) Data | 515 |
C.5 | Carterette, Friedman, and Cosmides (1965) Data | 516 |
C.6 | Green and Luce (1973) Data | 517 |
C.7 | Green, Smith, and von Gierke (1983) Data | 519 |
C.8 | Laming (1968), Experiment 6 Data | 520 |
References | 521 | |
Author Index | 547 | |
Subject Index | 554 |
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Add Response Times: Their Role in Inferring Elementary Mental Organization, Written by a distinguished mathematical psychologist, this authoritative volume provides a clear, well-balanced, and comprehensive treatment of the mathematical theory of human response time and the role it plays in our understanding of the mind's structu, Response Times: Their Role in Inferring Elementary Mental Organization to the inventory that you are selling on WonderClubX
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Add Response Times: Their Role in Inferring Elementary Mental Organization, Written by a distinguished mathematical psychologist, this authoritative volume provides a clear, well-balanced, and comprehensive treatment of the mathematical theory of human response time and the role it plays in our understanding of the mind's structu, Response Times: Their Role in Inferring Elementary Mental Organization to your collection on WonderClub |