Mathematical Psychology

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Mathematical Psychology

1.

Mathematical Psychology and Psychophysiology
by the American Mathematical Society. 320 pgs.

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Title Page

Table of Contents

Preface

List of Contributors

The Visual System Does a Crude Fourier Analysis of Patterns

REFERENCES

Invariant Properties of Masking Phenomena in Psychoacoustics and their Theoretical Consequences

REFERENCES

A Neural Mechanism for Generalization over Equivalent Stimuli in the Olfactory System

REFERENCES

Differential Equations for the Development of Topological Nerve Fibre Projections

REFERENCES

Normal and Abnormal Signal Patterns in Nerve Cells

REFERENCES

The Law of Large Numbers in Neural Modelling

REFERENCES

Adaptive Resonance in Development, Perception and Cognition

REFERENCES

Psychophysiological Substrates of Schedule Interactions and Behavioral Contrast

REFERENCES

Sociobiological Variations on a Mendelian Theme

REFERENCES

A "Psychological" Proof that Certain Markov Semigroups Preserve Differentiability

REFERENCES

Axiomatic Measurement Theory

INTRODUCTION

CONCLUSIONS

REFERENCES

Optimal Decision Rules for Some Common Psychophysical Paradigms

REFERENCES

Mathematical Models of Binocular Vision

REFERENCES

Reaction Time Distributions Predicted by Serial Self-terminating Models of Memory Search

REFERENCES
2.

Recent Progress in Mathematical Psychology
by Cornelia E. Dowling, Fred S. Roberts, Peter Theuns. 342 pgs.

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Title Page

Scientific Psychology Series

Contents

Preface

Acknowledgments

References

Part I Measurement, Decision, and Choice

Chapter 1: Utility of Wealth in Nonlinear Utility Theory

Chapter 2: Structuring Complex Concepts

Chapter 3 Roleassignments and Indifference Graphs

Discussion

Acknowledgments

Part II Psychophysics and Psychometrics

Chapter 4: Parallel Shift of Judgment-Characteristic Curve According to the Conte xt in Cutaneous and Color Discriminations

Chapter 5 a Maximum Likelihood Model for Psychophysical Data and Response Times

References

Chapter 6 Inhibition Theory and the Concept of Perseveration

References

Chapter 7 a Formal Approach to Color Constancy: the Recovery of Surface and Light Source Spectral Properties Using Bilinear Models

References

Part III Knowledge Representation

Chapter 8 Computing the Intersection of Knowledge Spaces Using Only Their Bases

References

Chapter 9 Meshing Knowledge Structures

References

Chapter 10 an Application of a Stochastic Knowledge Structure Model

Conclusion

Conclusion

Conclusion

Chapter 11 Building a Knowledge Space Via Boolean Analysis of Co-Occurrence Data

References

Part IV Learning Models

Chapter 12 Multinomial Models for Measuring Storage and Retrieval Processes in Paired Associate Learning

Appendix A: Models and Their Estimators

Appendix A: Models and Their Estimators

Appendix A: Models and Their Estimators

Appendix A: Models and Their Estimators

Chapter 13: Concept Learning Rates and Transfer Performance of Several Multivaria te Neural Network Models

Part V Cognitive Modeling

Chapter 14 Comparing Parallel and Sequential Multinomial Models of Letter Identification

Appendix A: the Simple Parallel Model

Appendix A: the Simple Parallel Model

Appendix C: the Symmectric Sequential Model

Appendix D: the Ordered Sequential Model

Chapter 15 Reciprocity as an Interaction Principle

References

Acknowledgments

Chapter 16 Additive Effects of Factors on Reaction Time and Evoked Potentials in Continuous-Flow Models

References

Author Index

Subject Index
3.

Four Tensions Concerning Mathematical Modeling in Psychology, in Annual Review of Psychology
by R. Duncan Luce. 26 pgs.

Journal Article
4.

Psychology and Its Allied Disciplines, Vol. 3 (Chap. 4 "Psychology and Mathematics")
by Marc H. Bornstein. 288 pgs.

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Crosscurrents in Contemporary Psychology

Series Prologue

Contributors to This Volume

Contents

Preface

Psychology's Relations With Allied Intellectual Disciplines: An Overview

1: Psychology and Biology

References

2: Psychology and Engineering

References

3: Psychology and Genetics

References

4: Psychology and Mathematics

References

5: Psychology and Medicine

Acknowledgments

References

6: Psychology and Pharmacology

References

7: Psychology and Physics: An Historical Perspective

References

Biographical Notes

Author Index

Subject Index
5.

Ordinal Measurement in the Behavioral Sciences
by Norman Cliff, John A. Keats. 230 pgs.

Book

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Contents

Preface

Chapter 1: The Purpose of Psychological Assessment

Chapter 2: What Makes a Variable a Scale?

Chapter 3: Types of Assessment

Chapter 4: Item Scores and Their Addition to Obtain Total Test Scores in the Case of Dichotomous Items

Chapter 5: Item Scores and Their Addition to Obtain Total Test Scores in the Case of Polytomous Items

Chapter 6: Dominance Analysis of Tests

Chapter 7: Approaches to Ordering Things and Stimuli

Chapter 8: Alternatives to Complete Paired Comparisons

Chapter 9: The Unfolding Model

Chapter 10: The Application of Ordinal Test Theory to Items in Tests Used in Cross-Cultural Comparisons

Appendix A: Flow Chart for a Program to Carry Out a Complete Item Analysis of Items in a Test or Scale Using a Small Personal Computer

Appendix B: Statistical Tables

References

Author Index

Subject Index
6.

Ordinal Methods for Behavioral Data Analysis
by Norman Cliff. 204 pgs.

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Contents

Preface

1: Why Ordinal Methods?

2: Ordinal Correlation

Chapter 3: Inferences About Ordinal Correlation

4: Predicting Ordinal Relations: Ordinal Analogues of Multiple Regression1

CONCLUSION

Chapter 5: Alternatives to Mean Comparisons

CONCLUSIONS

Chapter 6: Extension of D to Correlated Data and Broader Applications

APPENDIX

References

APPENDIX I. A

APPENDIX I.B

Author Index

Subject Index
7.

Statistical Models in Behavioral Research
by William K. Estes. 168 pgs.

Book

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Contents

Preface

1: Introduction

2: Statistics, Probability, and Decision

3: Basic Concepts

4: Contrasts on Means

5: Testing a Statistical Hypothesis1

Appendix

6: Simple Analysis of Variance

7: Regression and Anova in the Linear Model Framework

8: Two-Way Factorial Designs

Appendix

9: Repeated-Measures Designs

10: Unbalanced Designs and Nonorthogonality

References

Author Index

Subject Index
8.

Multidimensional Models of Perception and Cognition
by F. Gregory Ashby. 526 pgs.

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Table of Contents

Preface

1: Multivariate Probability Distributions

1: SIMILARITY, PREFERENCE, and CHOICE

2: A Probabilistic Multidimensional Scaling Approach: Properties and Procedures

3: Probabilistic Multidimensional Models of Pairwise Choice Data

4: Multivariate Models of Preference and Choice

5: A General Probabilistic Model for Triad Discrimination, Preferential Choice, and Two-Alternative Identification

6: Uniting Identification, Similarity and Preference: General Recognition Theory

APPENDIX A

II INTERACTIONS BETWEEN PERCEPTUAL DIMENSIONS

7: Perceptual and Decisional Separability

APPENDIX A

APPENDIX A

8: Signal Detection Analyses of Dimensional Interactions

9: Three Views of Association in Concurrent Detection Ratings

ACKNOWLEDGMENT

III DETECTION, IDENTIFICATION, AND CATEGORIZATION

10: Simultaneous Detection and Identification

SUMMARY

ACKNOWLEDGMENTS

Modeling Similarity and Identification When There Are Momentary Fluctuations in Psychological Magnitudes

12: Developing and Characterizing Multidimensional Thurstone and Luce Models for Identification and Preference

13: Structures in Stimulus Identification Data

ACKNOWLEDGMENTS

CONCLUDING REMARKS

14: Exemplar-Based Approach to Relating Categorization, Identification, and Recognition

ACKNOWLEDGMENT

15: On the Similarity of Categorization Models

SUMMARY

ACKNOWLEDGMENTS

16: Multidimensional Models of Categorization

References

Author Index

Subject Index
9.

Chaos, Catastrophe, and Human Affairs: Applications of Nonlinear Dynamics to Work, Organizations, and Social Evolution
by Stephen J. Guastello. 448 pgs.

Book

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Title Page

Contents

Preface

Acknowledgments

1: An Invitation to Chaos

Summary

2: Nonlinear Dynamical Systems Theory

Summary

3: Metaphors, Easter Bunnies, Modeling, and Verification

Summary

4: Nds, Human Decision Making, and Cognitive Processes

Summary

5: Dynamics of Motivation and Conflict

Summary

6: Stress and Human Performance

7: Accidents and Risk Analysis

Summary

8: Stress-Related Illness

Summary

9: The Evolution of Human Systems

Summary

10: Innovation, Creativity, and Complexity

Summary

11: The Dynamical Nature of Organizational Development

Summary

12: Chaos, Revolution, and War

Epilogue: Nothing Stops These Elephants

References

Author Index

Subject Index

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