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University of Groningen

Optimal bounds, bounded optimality

Böhm, Udo

IMPORTANT NOTE: You are advised to consult the publisher's version (publisher's PDF) if you wish to cite from it. Please check the document version below.

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Publication date: 2018

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Böhm, U. (2018). Optimal bounds, bounded optimality: Models of impatience in decision-making. University of Groningen.

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Optimal Bounds, Bounded Optimality

Models of Impatience in Decision-Making

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This research was supported by BCN and the Netherlands Organisation for Scientific Research (406-12-125).

ISBN printed version: 978-94-034-0495-0 ISBN digital version: 978-94-034-0496-7

This publication is typeset in LATEXusing the Memoir class

Printed by Ipskamp Printing B.V., Enschede Cover by Viktor Beekman, viktorbeekman.nl Copyright c 2018 by Udo B¨ohm

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Optimal Bounds, Bounded Optimality

Models of Impatience in Decision-Making

PhD thesis

to obtain the degree of PhD at the University of Gronigen

on the authority of the Rector Magnificus Prof. E. Sterken

and in accordance with the decision by the College of Deans. This thesis will be defended in public on

Thursday 5 April 2018 at 11.00 hours

by

Udo Böhm

born on 10 March 1988

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Supervisor

Prof. E.-J. Wagenmakers

Co-supervisors

Dr. D. Matzke Dr. L. van Maanen

Assessment committee

Prof. R.R. Meijer

Prof. H.L.J. van der Maas Prof. F. Tuerlinckx

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Contents

Contents

1 Introduction 1

1.1 Chapter Outline . . . 4

2 Of Monkeys and Men: Impatience in Perceptual Decision-Making 9 2.1 Introduction . . . 10

2.2 Why a Dynamic Component? . . . 12

2.3 Summary and Future Directions . . . 20

3 On the Relationship Between Reward Rate and Dynamic De-cision Criteria 25 3.1 Introduction . . . 26

3.2 Theoretical Analysis . . . 29

3.3 Experimental Study . . . 40

3.4 Discussion . . . 55

4 Trial-by-Trial Fluctuations in CNV Amplitude Reflect Anticip-atory Adjustment of Response Caution 59 4.1 Introduction . . . 60

4.2 Materials and Methods . . . 62

4.3 Results . . . 67

4.4 Discussion . . . 77

4.5 Conclusions . . . 80

5 Using Bayesian Regression to Test Hypotheses About Relation-ships Between Parameters and Covariates in Cognitive Models 81 5.1 Introduction . . . 82

5.2 Regression Framework for Relating Cognitive Model Parameters to Covariates . . . 85

5.3 Simulation Study . . . 95

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Contents

6 Estimating Between-Trial Variability Parameters of the Drift Diffusion Model: Expert Advice and Recommendations 109

6.1 Introduction . . . 110

6.2 Structure of the Collaboration Project . . . 113

6.3 Individual Contributions - Bayesian Estimation . . . 115

6.4 Individual Contributions - Maximum-Likelihood Estimation . . . . 131

6.5 Individual Contributions - χ2 Minimisation . . . 138

6.6 Summary . . . 142

6.7 Discussion . . . 146

7 On the Importance of Avoiding Shortcuts in Applying Cognit-ive Models to Hierarchical Data 151 7.1 Introduction . . . 152

7.2 Statistical Background . . . 155

7.3 Practical Ramifications . . . 160

7.4 Discussion . . . 172

8 Discussion and Conclusions 177 8.1 Summary and Conclusions . . . 177

8.2 Discussion and Future Directions . . . 180 A Appendix to Chapter 3: ‘On the Relationship Between Reward

Rate and Dynamic Decision Criteria’ 183 B Appendix to Chapter 4: ‘Trial-by-Trial Fluctuations in CNV

Amplitude Reflect Anticipatory Adjustment of Response

Cau-tion’ 187

C Appendix to Chapter 5: ‘Using Bayesian Regression to Test Hypotheses About Relationships Between Parameters and

Co-variates in Cognitive Models’ 195

Bibliography 201

Nederlandse Samenvatting 227

Acknowledgements 233

Publications 235

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