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Rethinking the Exploration of Dichotomous Data

Mokken Scale Analysis Versus Factorial Analysis

Bibliographic Data

ID2330902
AuthorsMirko Antino (0000-0001-7578-4899, Instituto Universitário de Lisboa, Business Research Unit, Lisboa, Portugal, corresponding author), Jesús María Alvarado-Izquierdo (0000-0003-4780-0147, Universidad Complutense de Madrid, corresponding author), Jesús M Alvarado, Rodrigo Asún (0000-0003-0903-1789, University of Chile), Rodrigo A Asún (University of Chile), Paul D Bliese (0000-0002-5384-8879, University of South Carolina), Paul Bliese (University of South Carolina)
Year2020
Volume49
Issue4
Pages839-867
Publication date2020-11-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueSociological Methods & Research (JOURNAL)
Journal identifiersISSN: 0049-1241 • E-ISSN: 1552-8294
PublisherSAGE Publications Inc (PUBLISHER)
DOI10.1177/0049124118769090
OpenAlexW2800543278
LanguageEN
Citations received1
References cited56

The need to determine the correct dimensionality of theoretical constructs and generate valid measurement instruments when underlying items are categorical has generated a significant volume of research in the social sciences. This article presents two studies contrasting different categorical exploratory techniques. The first study compares Mokken scale analysis (MSA) and two-factor-based exploratory techniques for noncontinuous variables: item factor analysis and Normal Ogive Harmonic Analysis Robust Method (NOHARM). Comparisons are conducted across techniques and in reference to the common principal component analysis model using simulated data under conditions of two-dimensionality with different degrees of correlation ( r = .0 to .6). The second study shows the theoretical and practical results of using MSA and NOHARM (the factorial technique which functioned best in the first study) on two nonsimulated data sets. The nonsimulated data are particularly interesting because MSA was used to solve a theoretical debate. Based on the results from both studies, we show that the ability of NOHARM to detect dimensionality and scalability is similar to MSA when the data comprise two uncorrelated latent dimensions; however, NOHARM is preferable when data are drawn from instruments containing latent dimensions weakly or moderately correlated. This article discusses the theoretical and practical implications of these findings

Categorical variable · Curse of dimensionality · Data mining · Econometrics · Exploratory data analysis · Exploratory factor analysis · Factor analysis · Factorial · Principal component analysis · Scale (ratio) · Statistics · Structural equation modeling · Uncorrelated · Advanced Statistical Modeling Techniques · Computer Science · Mathematics · Sensory Analysis and Statistical Methods · Statistical Methods and Applications

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Unique citing works1
Citations per year0,2
Citation span2021 - 2021 (1)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 1

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