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PLoS One. 2019 May 16;14(5):e0216287. doi: 10.1371/journal.pone.0216287. eCollection 2019.

A robust Pearson correlation test for a general point null using a surrogate bootstrap distribution.

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1
Department of Biostatistics and Bioinformatics, Roswell Park Comprehensive Cancer Center, Buffalo, NY 14263 United States of America.

Abstract

In this note we present a robust bootstrap test with good Type I error control for testing the general hypothesis H0: ρ = ρ0. In order to carry out this test we use what is termed a surrogate bootstrap distribution. The test was inspired by the studentized permutation for testing H0: ρ = 0, which was proven to be exact in certain scenarios and asymptotically correct overall. We show that the bootstrap based test is robust to a variety of distributional scenarios in terms of proper Type I error control.

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