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New statistical test 'Hunt-and-test' developed for semiparametric hypotheses

Researchers have developed a new statistical method called the Debiased Score Test, designed to assess semiparametric hypotheses by examining derivatives of the log-likelihood. This approach extends to testing if a regression function belongs to a linear function class, providing goodness-of-fit tests for models like generalized additive and partially linear models. The method incorporates a "hunt-and-test" strategy that uses machine learning to identify promising directions in empirical scores and then tests for their significance, with a debiasing correction for accuracy. The test demonstrates control over Type I errors and shows power when the identified direction aligns with the true score, with applications shown in an HIV clinical trial and insurance claims analysis, implemented in the R package dScoreTest. AI

IMPACT Introduces a novel statistical framework for hypothesis testing in semiparametric models, potentially enhancing analytical capabilities in various research fields.

RANK_REASON The cluster describes a new statistical methodology published on arXiv. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv stat.ML →

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New statistical test 'Hunt-and-test' developed for semiparametric hypotheses

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  1. arXiv stat.ML TIER_1 English(EN) · Aditya Dhawan, F. Richard Guo, Rajen D. Shah ·

    The Debiased Score Test: Hunt-and-test for Semiparametric Hypotheses

    arXiv:2607.28861v1 Announce Type: cross Abstract: The parametric score test assesses a hypothesis through derivatives of the log-likelihood, whose expectation vanishes under the null. When the parameter of interest is a regression function identified as a risk minimiser, we exten…