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University of Groningen

Flexible regression-based norming of psychological tests

Voncken, Lieke

DOI:

10.33612/diss.124765653

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.

Document Version

Publisher's PDF, also known as Version of record

Publication date: 2020

Link to publication in University of Groningen/UMCG research database

Citation for published version (APA):

Voncken, L. (2020). Flexible regression-based norming of psychological tests. University of Groningen. https://doi.org/10.33612/diss.124765653

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Flexible regression-based norming

of psychological tests

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© Flexible regression-based norming of psychological tests. Lieke Voncken, University of Groningen

ISBN: 978-94-034-2465-1 (print version) ISBN: 978-94-034-2466-8 (electronic version) Cover design: Desirée van Dooren

Printed by: Ipskamp Printing, Enschede

The research presented in this thesis was funded by the Dutch Research Council (NWO) within research programme ‘Graduate Programme 2013’ with project number

022.005.003.

All rights reserved. No part of this publication may be reproduced or transmitted in any form by any means, without permission of the author.

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Flexible regression-based norming

of psychological tests

Proefschrift

ter verkrijging van de graad van doctor aan de

Rijksuniversiteit Groningen

op gezag van de

rector magnificus prof. dr. C. Wijmenga

en volgens besluit van het College voor Promoties.

De openbare verdediging zal plaatsvinden op

donderdag 14 mei 2020 om 16.15 uur

door

Lieke Voncken

geboren op 10 februari 1992

te Geldrop

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Promotores

Prof. dr. M.E. Timmerman Prof. dr. C.J. Albers

Beoordelingscommissie

Prof. dr. L.A. van der Ark Prof. dr. T.A.B. Snijders Prof. dr. P.H.C. Eilers

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Table of contents

1 Introduction 7

2 Model selection in continuous test norming with GAMLSS 21

2.1 Introduction . . . 22

2.2 Method . . . 30

2.3 Results . . . .37

2.4 Discussion . . . 54

3 Bias-variance trade-off in continuous test norming 59 3.1 Introduction . . . 60

3.2 Simulation study . . . 66

3.3 Results . . . .72

3.4 Discussion . . . 81

4 Improving confidence intervals for normed test scores: Include uncertainty due to sampling variability 85 4.1 Introduction . . . 86

4.2 Method . . . 93

4.3 Results . . . .98

4.4 Discussion . . . 112

5 Bayesian Gaussian distributional regression models for more efficient norm esti-mation 115 5.1 Introduction . . . 116

5.2 Bayesian Gaussian distributional regression . . . 117

5.3 Simulation study . . . .119

5.4 Applications of Bayesian Gaussian norm estimation to the IDS-2 norm. data 127 5.5 Discussion . . . 394

6 Discussion 135

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Appendix A - Additional material for Chapter 4 155

Appendix B - Additional material for Chapter 5 156

Samenvatting (Dutch summary) 158

Curriculum Vitae 166

List of publications 168

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