What is it about?

The research work reported in the paper served two purposes: (1) the investigation of the structural validity of the Online Self-Assessment (OSA) Figures scale and (2) the evaluation of the threshold-free approach of confirmatory factor analysis (CFA) for binary data in an empirical example. Over nine thousand participants did take part in the online self-assessment that required completing figural reasoning items. Unidimensionality was tested by two methods: (1) CFA with tetrachoric correlations as input and robust estimation and (2) CFA with probability-based covariances as input and an additional link transformation. Both methods provided support for structural validity. These results suggested that the link transformation of the threshold-free approach compensated for the deviation from normality that necessitated robust estimation otherwise.

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Why is it important?

The problem that CFA is not appropriate for binary data is addressed. Two approaches to overcome this problem are discussed and applied.


Writing this article was a great pleasure as it has co-authors with whom I have had good cooperation over the years. For me it was especially interesting to see how the two approaches of analyzing binary data would perform in a condition that could be assumed to be favorable for both approaches.

Karl Schweizer

Read the Original

This page is a summary of: Structural Validity of the OSA Figures Scale for the Online Self-Assessment of Fluid Reasoning, European Journal of Psychological Assessment, September 2018, Hogrefe Publishing Group,
DOI: 10.1027/1015-5759/a000345.
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