scholarly journals Examining Invariant Item Ordering Using Mokken Scale Analysis for Polytomously Scored Items

2018 ◽  
pp. 312-325
Author(s):  
Hakan Koğar
Keyword(s):  
Scale Analysis ◽  
Mokken Scale Analysis ◽  
Invariant Item Ordering

scholarly journals A Mokken Scale Analysis of the Last Series of the Standard Progressive Matrices (SPM-LS)

2020 ◽  
Vol 8 (2) ◽  
pp. 22
Author(s):  
Nils Myszkowski
Keyword(s):  
Psychometric Properties ◽  
Item Response ◽  
Scale Analysis ◽  
Mokken Scale Analysis ◽  
General Mental Ability ◽  
Invariant Item Ordering ◽  
Raven's Standard Progressive Matrices ◽  
Sum Scores ◽  
Double Monotonicity ◽  
Theory Framework

Raven’s Standard Progressive Matrices (Raven 1941) is a widely used 60-item long measure of general mental ability. It was recently suggested that, for situations where taking this test is too time consuming, a shorter version, comprised of only the last series of the Standard Progressive Matrices (Myszkowski and Storme 2018) could be used, while preserving satisfactory psychometric properties (Garcia-Garzon et al. 2019; Myszkowski and Storme 2018). In this study, I argue, however, that some psychometric properties have been left aside by previous investigations. As part of this special issue on the reinvestigation of Myszkowski and Storme’s dataset, I propose to use the non-parametric Item Response Theory framework of Mokken Scale Analysis (Mokken 1971, 1997) and its current developments (Sijtsma and van der Ark 2017) to shed new light on the SPM-LS. Extending previous findings, this investigation indicated that the SPM-LS had satisfactory scalability ( H = 0.469 ), local independence and reliability ( M S = 0.841 , L C R C = 0.874 ). Further, all item response functions were monotonically increasing, and there was overall evidence for invariant item ordering ( H T = 0.475 ), supporting the Double Monotonicity Model (Mokken 1997). Item 1, however, appeared problematic in most analyses. I discuss the implications of these results, notably regarding whether to discard item 1, whether the SPM-LS sum scores can confidently be used to order persons, and whether the invariant item ordering of the SPM-LS allows to use a stopping rule to further shorten test administration.

The Techniques for Overcoming Depression Questionnaire: Mokken Scale Analysis, Reliability, and Concurrent Validity

2016 ◽  
Vol 85 ◽  
pp. 65 ◽  
Author(s):  
K.E. Freedland ◽  
M. Lemos ◽  
F. Doyle ◽  
B.C. Steinmeyer ◽  
I. Csik ◽  
...  
Keyword(s):  
Concurrent Validity ◽  
Scale Analysis ◽  
Mokken Scale Analysis

Mokken Scale Analysis: Discussion and Application

2021 ◽  
Vol 8 (3) ◽  
pp. 672-695
Author(s):  
Thomas DeVaney
Keyword(s):  
Item Response Theory ◽  
Item Response ◽  
Rating Scale ◽  
Scale Analysis ◽  
Guttman Scale ◽  
Response Theory ◽  
Data Set ◽  
Mokken Scale Analysis ◽  
Irt Models ◽  
Guttman Scaling

This article presents a discussion and illustration of Mokken scale analysis (MSA), a nonparametric form of item response theory (IRT), in relation to common IRT models such as Rasch and Guttman scaling. The procedure can be used for dichotomous and ordinal polytomous data commonly used with questionnaires. The assumptions of MSA are discussed as well as characteristics that differentiate a Mokken scale from a Guttman scale. MSA is illustrated using the mokken package with R Studio and a data set that included over 3,340 responses to a modified version of the Statistical Anxiety Rating Scale. Issues addressed in the illustration include monotonicity, scalability, and invariant ordering. The R script for the illustration is included.

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