Tests of Matrix Structure for Construct Validation

Brian D. Segal (), Thomas Braun, Richard Gonzalez and Michael R. Elliott
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Brian D. Segal: University of Michigan
Thomas Braun: University of Michigan
Richard Gonzalez: University of Michigan
Michael R. Elliott: University of Michigan

Psychometrika, 2019, vol. 84, issue 1, No 4, 65-83

Abstract: Abstract Psychologists and other behavioral scientists are frequently interested in whether a questionnaire measures a latent construct. Attempts to address this issue are referred to as construct validation. We describe and extend nonparametric hypothesis testing procedures to assess matrix structures, which can be used for construct validation. These methods are based on a quadratic assignment framework and can be used either by themselves or to check the robustness of other methods. We investigate the performance of these matrix structure tests through simulations and demonstrate their use by analyzing a big five personality traits questionnaire administered as part of the Health and Retirement Study. We also derive rates of convergence for our overall test to better understand its behavior.

Keywords: permutation testing; hubert’s gamma; quadratic assignment (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s11336-018-9647-4

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