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May 20, 2026Psychological Methods0 citations

Extending bias adjustments for R-squared to multilevel models.

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YGYingchi GuoJRJason D. Rights

Key Points

  • The aim is to extend bias adjustments for R-squared specifically in multilevel models to reduce analytical and empirical upward bias.
  • Developed bias adjustment techniques for multilevel R-squared measures.
  • Evaluated the effectiveness of adjustments through simulation and empirical analysis.
  • Utilized software for computation of adjusted R-squared measures.
  • Adjusted R-squared measures demonstrated significantly less bias compared to unadjusted versions.
  • Differential impacts of various factors were identified affecting adjustments across different measures.

Abstract

-squared measures developed specifically for multilevel contexts are susceptible to upward bias, both analytically via expectation algebra and empirically via simulation; and (c) provide and evaluate a set of adjustments that correct for this bias. We ultimately show that the proposed adjustments do, in fact, yield less bias than the unadjusted versions of measures and discuss factors affecting the discrepancy between adjusted and unadjusted versions, as well as the differential impact such factors have across different measures. We also discuss software with which researchers can compute adjusted measures and illustrate their computation with an empirical example. (PsycInfo Database Record (c) 2026 APA, all rights reserved).

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Cite This Study

Guo et al. (2026) studied this question.

synapsesocial.com/papers/6a0d5089f03e14405aa9c59bhttps://doi.org/10.1037/met0000813
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