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What are the minimal sample size requirements for Mokken scaling? An empirical example with the Warwick-Edinburgh Mental Well-being Scale

Watson, Roger; Egberink, Iris J. L.; Kirke, Lisa; Tendeiro, Jorge N.; Doyle, Frank

Authors

Iris J. L. Egberink

Lisa Kirke

Jorge N. Tendeiro

Frank Doyle



Abstract

Purpose
Sample size in Mokken scales is mostly studied on simulated data, reflected in the lack of consideration of sample size in most Mokken scaling studies. Recently, Straat et al. (2014) provided minimum sample size requirements for Mokken scale analysis based on simulation. Our study uses real data from the Warwick-Edinburgh Mental Well-Being Scale (N = 8463) to assess whether these hold.

Methods
We use per element accuracy to evaluate the impact of sample size, with scaling coefficients and confidence intervals around scale, item and item pair scalability coefficients.

Results
Per element accuracy, scalability coefficients, and confidence intervals around scalability coefficients are sensitive to sample size. The results from Straat et al. were not replicated; depending on the main goal of the research, sample sizes ranging from >250 to >1000 are needed.

Conclusions
Using our pragmatic approach, some practical recommendations are made regarding sample sizes for studies of Mokken scaling.

Journal Article Type Article
Journal Health Psychology and Behavioral Medicine
Electronic ISSN 2164-2850
Publisher Taylor & Francis
Peer Reviewed Peer Reviewed
Volume 6
Issue 1
Pages 203-213
APA6 Citation Egberink, I. J., Watson, R., Egberink, I. J., Kirke, L., Tendeiro, J. N., & Doyle, F. (in press). What are the minimal sample size requirements for Mokken scaling? An empirical example with the Warwick-Edinburgh Mental Well-being Scale. Health Psychology and Behavioral Medicine, 6(1), 203-213. https://doi.org/10.1080/21642850.2018.1505520
DOI https://doi.org/10.1080/21642850.2018.1505520
Keywords Mokken scaling; Item response theory; Per element accuracy; Scalability; Sample size
Publisher URL https://www.tandfonline.com/doi/full/10.1080/21642850.2018.1505520
Copyright Statement © 2018 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group
This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial License (http://
creativecommons.org/licenses/by-nc/4.0/), which permits unrestricted non-commercial use, distribution, and reproduction in any
medium, provided the original work is properly cited.

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Copyright Statement
© 2018 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group
This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial License (http://
creativecommons.org/licenses/by-nc/4.0/), which permits unrestricted non-commercial use, distribution, and reproduction in any
medium, provided the original work is properly cited.





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