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In the absence of publication bias, the plot resembles a symmetrical inverted funnel, and Egger's regression test will fail to reject the null hypothesis of no funnel plot asymmetry.
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Second, individual genes with a weak phylogenetic signal will always fail to reject the consensus tree.
Consequently, many incongruence tests (see Box 1) will often fail to reject homogeneity between genes with weak phylogenetic signal and virtually any other gene (fig. 2, lower left; adapted likelihood-based topology tests are particularly sensitive to this problem).
This bias helps maximise rewards because in our task participants will ideally accept (or fail to reject) only the single most valuable bandit.
Should he fail to reject weak candidates, he will have only himself to blame.
If voters fail to reject the deceit, they will have chosen to be deceived all the time.
However, we design clinical studies with the hope they will provide information to help decide if we should reject or fail to reject the null hypothesis.
Therefore, we fail to reject the second null hypothesis.
If they fail to reject it, genes are claimed to be congruent with it.
Otherwise, we would fail to reject the hypothesis of no agreement.
Molecular, morphological, and palaeontological evidence support (or fail to reject) our basal molluscan dichotomy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com