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A Wilcoxon–Mann–Whitney test for latent variables

Heidelinde Dehaene (UGent) , Jan De Neve (UGent) and Yves Rosseel (UGent)
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Abstract
We propose an extension of the Wilcoxon–Mann–Whitney test to compare two groups when the outcome variable is latent. We empirically demonstrate that the test can have superior power properties relative to tests based on Structural Equation Modeling for a variety of settings. In addition, several other advantages of the Wilcoxon–Mann–Whitney test are retained such as robustness to outliers and good small sample performance. We demonstrate the proposed methodology on a case study.
Keywords
rank test, measurement error, indicators, robustness, nonparametric inference, group comparison

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Citation

Please use this url to cite or link to this publication:

MLA
Dehaene, Heidelinde, et al. “A Wilcoxon–Mann–Whitney Test for Latent Variables.” FRONTIERS IN PSYCHOLOGY, vol. 12, 2021, doi:10.3389/fpsyg.2021.754898.
APA
Dehaene, H., De Neve, J., & Rosseel, Y. (2021). A Wilcoxon–Mann–Whitney test for latent variables. FRONTIERS IN PSYCHOLOGY, 12. https://doi.org/10.3389/fpsyg.2021.754898
Chicago author-date
Dehaene, Heidelinde, Jan De Neve, and Yves Rosseel. 2021. “A Wilcoxon–Mann–Whitney Test for Latent Variables.” FRONTIERS IN PSYCHOLOGY 12. https://doi.org/10.3389/fpsyg.2021.754898.
Chicago author-date (all authors)
Dehaene, Heidelinde, Jan De Neve, and Yves Rosseel. 2021. “A Wilcoxon–Mann–Whitney Test for Latent Variables.” FRONTIERS IN PSYCHOLOGY 12. doi:10.3389/fpsyg.2021.754898.
Vancouver
1.
Dehaene H, De Neve J, Rosseel Y. A Wilcoxon–Mann–Whitney test for latent variables. FRONTIERS IN PSYCHOLOGY. 2021;12.
IEEE
[1]
H. Dehaene, J. De Neve, and Y. Rosseel, “A Wilcoxon–Mann–Whitney test for latent variables,” FRONTIERS IN PSYCHOLOGY, vol. 12, 2021.
@article{8730595,
  abstract     = {{We propose an extension of the Wilcoxon–Mann–Whitney test to compare two groups when the outcome variable is latent. We empirically demonstrate that the test can have superior power properties relative to tests based on Structural Equation Modeling for a variety of settings. In addition, several other advantages of the Wilcoxon–Mann–Whitney test are retained such as robustness to outliers and good small sample performance. We demonstrate the proposed methodology on a case study.}},
  articleno    = {{754898}},
  author       = {{Dehaene, Heidelinde and De Neve, Jan and Rosseel, Yves}},
  issn         = {{1664-1078}},
  journal      = {{FRONTIERS IN PSYCHOLOGY}},
  keywords     = {{rank test,measurement error,indicators,robustness,nonparametric inference,group comparison}},
  language     = {{eng}},
  pages        = {{13}},
  title        = {{A Wilcoxon–Mann–Whitney test for latent variables}},
  url          = {{http://doi.org/10.3389/fpsyg.2021.754898}},
  volume       = {{12}},
  year         = {{2021}},
}

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