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

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


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.

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't

MeSH terms

  • Computer Simulation
  • Female
  • Humans
  • Lactic Acid / analysis
  • Lactic Acid / blood
  • Models, Statistical*
  • Sample Size
  • Statistical Distributions*


  • Lactic Acid