Open AccessA robust Pearson correlation test for a general point null using a surrogate bootstrap distribution
Author(s) -
Alan D. Hutson
Publication year - 2019
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0216287
Subject(s) - type i and type ii errors , studentized range , mathematics , statistics , statistical hypothesis testing , resampling , null hypothesis , null distribution , test statistic , computer science , standard error
In this note we present a robust bootstrap test with good Type I error control for testing the general hypothesis H 0 : ρ = ρ 0 . 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 H 0 : 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.