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Image Credit: Arxiv

Size-adaptive Hypothesis Testing for Fairness

  • The paper discusses the challenges in determining algorithmic discrimination against demographics and proposes a new approach.
  • Current fairness assessment methods are deemed statistically brittle due to ignoring sampling error and treating small demographic subgroups the same as large ones.
  • Intersectional analyses, considering multiple sensitive attributes simultaneously, lead to more granular groups with sparse data, making estimation unreliable.
  • The paper introduces a size-adaptive, hypothesis-testing framework for fairness assessment to address statistical limitations and variations in data availability.
  • The framework provides analytic confidence intervals and a Wald test for statistical parity difference in large subgroups with guaranteed type-I error control.
  • For small intersectional groups, a fully Bayesian Dirichlet-multinomial estimator is proposed with Monte-Carlo credible intervals that converge to Wald intervals with increased data.
  • Empirical validation on benchmark datasets showcases the framework's interpretability and statistical robustness across different data availability levels and intersectionality.

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