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      Identifying Measurement Invariant Item Sets in Cross-Cultural Settings Using an Automated Item Selection Procedure

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          Abstract

          Abstract. In the construction of scales intended for the use in cross-cultural studies, the selection of items needs to be guided not only by traditional criteria of item quality, but has to take information about the measurement invariance of the scale into account. We present an approach to automated item selection which depicts the process as a combinatorial optimization problem and aims at finding a scale which fulfils predefined target criteria – such as measurement invariance across cultures. The search for an optimal solution is performed using an adaptation of the Ant System algorithm. The approach is illustrated using an application to item selection for a personality scale assuming measurement invariance across multiple countries.

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          Ensuring Positiveness of the Scaled Difference Chi-square Test Statistic.

          A scaled difference test statistic [Formula: see text] that can be computed from standard software of structural equation models (SEM) by hand calculations was proposed in Satorra and Bentler (2001). The statistic [Formula: see text] is asymptotically equivalent to the scaled difference test statistic T̄(d) introduced in Satorra (2000), which requires more involved computations beyond standard output of SEM software. The test statistic [Formula: see text] has been widely used in practice, but in some applications it is negative due to negativity of its associated scaling correction. Using the implicit function theorem, this note develops an improved scaling correction leading to a new scaled difference statistic T̄(d) that avoids negative chi-square values.
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            Simultaneous factor analysis in several populations

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              – Ant System

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                Author and article information

                Contributors
                Journal
                med
                Methodology
                European Journal of Research Methods for the Behavioral and Social Sciences
                Hogrefe Publishing
                1614-1881
                1614-2241
                November 28, 2018
                : 14
                : 4 , Special Issue: Validity in Survey Research
                : 177-188
                Affiliations
                [ 1 ]Institut für Psychologie, Goethe Universität, Frankfurt am Main, Germany
                [ 2 ]Department of Education and Psychology, Freie Universität Berlin, Berlin, Germany
                Author notes
                Martin Schultze, Goethe Universität Frankfurt, Institut für Psychologie, Theodor-W.-Adorno-Platz 6, 60323 Frankfurt am Main, Germany, schultze@ 123456psych.uni-frankfurt.de
                Article
                med_14_4_177
                10.1027/1614-2241/a000155
                e68fdfd2-7dd9-410b-8131-dc4c6e1dacec
                Copyright @ 2018
                History
                : October 20, 2017
                : June 12, 2018
                : June 29, 2018
                Categories
                Original Article

                Psychology,Applications,General social science,Methodology,Clinical Psychology & Psychiatry
                structural equation modelling,scale construction,ant colony optimization,item selection,cross-culture

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