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One by One: Accumulating Evidence by using Meta-Analytical Procedures for Single-Case Experiments

Published online by Cambridge University Press:  23 November 2017

Patrick Onghena ,
Bart Michiels ,
Laleh Jamshidi ,
Mariola Moeyaert  and
Wim Van den Noortgate
Patrick Onghena*
Affiliation:
Faculty of Psychology and Educational Sciences, KU Leuven, University of Leuven, Leuven, Belgium
Bart Michiels
Affiliation:
Faculty of Psychology and Educational Sciences, KU Leuven, University of Leuven, Leuven, Belgium
Laleh Jamshidi
Affiliation:
Faculty of Psychology and Educational Sciences, KU Leuven, University of Leuven, Leuven, Belgium
Mariola Moeyaert
Affiliation:
Department of Educational and Counseling Psychology, Division of Educational Psychology and Methodology, School of Education, University at Albany, SUNY, Albany, USA
Wim Van den Noortgate
Affiliation:
Faculty of Psychology and Educational Sciences, KU Leuven, University of Leuven, Leuven, Belgium
*
Address for correspondence: Patrick Onghena, Faculty of Psychology and Educational Sciences, KU Leuven, University of Leuven, Tiensestraat 102, BE-3000 Leuven, Belgium. E-mail: patrick.onghena@kuleuven.be
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Abstract

This paper presents a unilevel and multilevel approach for the analysis and meta-analysis of single-case experiments (SCEs). We propose a definition of SCEs and derive the specific features of SCEs’ data that have to be taken into account when analysing and meta-analysing SCEs. We discuss multilevel models of increasing complexity and propose alternative and complementary techniques based on probability combining and randomisation test wrapping. The proposed techniques are demonstrated with real-life data and corresponding R code.

Keywords

single-case experimentsingle-case experimental designN-of-1 trialmeta-analysismultilevel modelprobability combiningrandomisation testpermutation test
Type
Articles
Information
Brain Impairment , Volume 19 , Special Issue 1: Quantitative Data Analysis; by Robyn Tate and Michael Perdices , March 2018 , pp. 33 - 58
Copyright
Copyright © Australasian Society for the Study of Brain Impairment 2017 

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