What are the minimal sample size requirements for Mokken scaling? An empirical example with the Warwick- Edinburgh Mental Well-Being Scale. Issue 1 (1st January 2018)

• Record Type: Journal Article
• Authors: Watson, Roger; Egberink, Iris J. L.; Kirke, Lisa; Tendeiro, Jorge N.; Doyle, Frank
• Is Part Of: Health psychology and behavioral medicine. Volume 6:Issue 1(2018)
• Page Start: 203
• Page End: 213
• Publication Date: 2018-01-01
• Subjects: Mokken scaling -- item response theory -- per element accuracy -- scalability -- confidence intervals -- sample size; Clinical health psychology -- Periodicals; Medicine and psychology -- Periodicals; 613.09
• DOI: 10.1080/21642850.2018.1505520
• Languages: English
• ISSNs: 2164-2850

Abstract

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, J. H., van der Ark, L. A., & Sijtsma, K. (2014). Minimum sample size requirements for Mokken scale analysis. Educational and Psychological Measurement, 74, 809–822] 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.