2017
DOI: 10.1111/emip.12153
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An Instructional Module on Mokken Scale Analysis

Abstract: Mokken scale analysis (MSA) is a probabilistic‐nonparametric approach to item response theory (IRT) that can be used to evaluate fundamental measurement properties with less strict assumptions than parametric IRT models. This instructional module provides an introduction to MSA as a probabilistic‐nonparametric framework in which to explore measurement quality, with an emphasis on its application in the context of educational assessment. The module describes both dichotomous and polytomous formulations of the M… Show more

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Cited by 43 publications
(59 citation statements)
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“…The unidimensional nature of the scale is further supported by the high McDonald's omega hierarchal value [39,52], with the coefficient suggesting that 91% of the variance of the GLSS T-Score is due to the general factorlife satisfaction. The other MSA results support the GLSS as meeting the requirements of the Mokken scale [53]. The ability to order the GLSS items (invariant item ordering), that is, the order of the items consistently reflects an increasing level of life satisfaction, does not appear possible.…”
Section: Discussionmentioning
confidence: 73%
“…The unidimensional nature of the scale is further supported by the high McDonald's omega hierarchal value [39,52], with the coefficient suggesting that 91% of the variance of the GLSS T-Score is due to the general factorlife satisfaction. The other MSA results support the GLSS as meeting the requirements of the Mokken scale [53]. The ability to order the GLSS items (invariant item ordering), that is, the order of the items consistently reflects an increasing level of life satisfaction, does not appear possible.…”
Section: Discussionmentioning
confidence: 73%
“…Descriptive statistics were generated for items and subscales. Construct validity of the MTQ involved (1) data examination, (2) scaling as recommended by Sijtsma and van der Ark (2017) and (Wind 2017) and (3) predictive validity (Crișan et al 2020). For the student engagement measure, Principal Component Analysis (PCA) (varimax rotation) and Confirmatory Factor Analysis (CFA) were performed with the ML estimator for both models using the R package 'lavaan'.…”
Section: Discussionmentioning
confidence: 99%
“…Additionally, the availability of frequently-updated software R with graphical features and the package Mokken (van der Ark. 2007, 2012 supports the popularity of MS among educational researchers (Wind 2017(Wind , 2019. MS uses two NIRT models: the Monotone Homogeneity Model (MHM) based on three assumptions (monotonicity, unidimensionality and local independence); and a general and more strict Double Monotonicity Model (DMM) obtained by adding a fourth assumption, namely, evidence of Invariant Rater Ordering (IRO).…”
Section: Mokken Scaling (Ms)mentioning
confidence: 99%
“…In this study, the existing literature on the practical use of MSA (see Sijtsma & van der Ark, 2017 and Wind, 2017 for excellent tutorials for practitioners in the fields of psychology and education) is extended by systematically investigating how practical outcomes, such as scale reliability and person rank ordering, were affected by scores obtained from scales containing items with low scalability coefficients. This study also extends previous literature on the practical significance ( Sinharay & Haberman, 2014 ) of the misfit of IRT models (e.g., Crişan et al, 2017 ) by focusing on nonparametric IRT models.…”
Section: Practical Significancementioning
confidence: 99%