Cited by 71Statistical Methods and ApplicationsPsychometric Methodologies and TestingAdvanced Statistical Methods and Models

Extending multivariate distance matrix regression with an effect size measure and the asymptotic null distribution of the test statistic

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McArtor, Daniel B., Lubke, Gitta H., Bergeman, C. S.·2017·Psychometrika

Abstract

Person-centered methods are useful for studying individual differences in terms of (dis)similarities between response profiles on multivariate outcomes. Multivariate distance matrix regression (MDMR) tests the significance of associations of response profile (dis)similarities and a set of predictors using permutation tests. This paper extends MDMR by deriving and empirically validating the asymptotic null distribution of its test statistic, and by proposing an effect size for individual outcome variables, which is shown to recover true associations. These extensions alleviate the computational burden of permutation tests currently used in MDMR and render more informative results, thus making MDMR accessible to new research domains.

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  1. Davies RB 1980 The distribution of a linear combination of chi-square random variables Journal of the Royal Statistical Society 29 323 333
  2. Friedman JH Meulman JJ 2004 Clustering objects on subsets of attributes Journal of the Royal Statistical Society 66 815 839

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Authors
McArtor, D. B., Lubke, G. H., & Bergeman, C. S.
Affiliations
University of Notre Dame (US)
Corresponding author
McArtor, Daniel B.
Venue
Psychometrika
Published
2017-12
Volume
82
Issue
4
Pages
1052-1077
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
OpenAlex
W2531272587
Cited by
71
References
45
Citations by year
2026: 8 · 2025: 4 · 2024: 5 · 2023: 12 · 2022: 13 · 2021: 13 · 2020: 3 · 2019: 6 · 2018: 6 · 2017: 1
FWCI
4.72
Type
journal article
Language
en
Open access
Locations
  • Psychometrika (publishedVersion)
  • PubMed (publishedVersion)
  • Europe PMC (PubMed Central) (acceptedVersion)
  • PubMed Central (acceptedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • VU Research Portal (submittedVersion)
  • Data Archiving and Networked Services (DANS) (submittedVersion)
Funders
  • National Institute on Drug Abuse (NIDA-DA018673)
  • National Institute on Aging (1 R01 AG023571-A1-01)
  • National Science Foundation (NSF MRI BCS-1229450)
Topics
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
  • Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
  • Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
Keywords
individual differences, effect size, asymptotic null distribution, permutation tests, computational efficiency, multivariate outcomes
MeSH terms
Computer Simulation, Cross-Sectional Studies, Data Interpretation, Statistical, Humans, Monte Carlo Method, Personality Tests, Probability, Regression Analysis, ROC Curve, Multivariate Analysis, Area Under Curve

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