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All of the above results are robust to correction for associations between CVs and mean trait sizes (see Methods and Materials).

None of the interaction P-values was robust to correction for multiple statistical comparisons, suggesting that these observations may be false-positive.

Our primary finding was that three SNPs (two from the glucocorticoid receptor gene, one from estrogen receptor-α) had gene environment interactions robust to correction for multiple comparisons.

However, statistical significance of these comparisons touching the P=0.05 boundary of benefit was not robust to correction with trial sequential analyses, with cumulative z scores crossing futility boundaries (online supplement).

We found that three SNPs (NEGR1 rs2815752, BDNF rs6265, PPARG rs1801282) predicted WR, irrespective of type of WL therapy, two of which (BDNF rs6265, PPARG Pro12Ala) were robust to correction for multiple hypothesis testing.

Similar(55)

Findings are robust to corrections for potential sample selection, omitted variables or endogeneity bias.

The results of this analysis are robust to corrections for multiple tests (see Text S1, Table S6).

The key issues of selecting the optimal bandwidth and constructing confidence regions robust to bias correction, of which the solutions only exist so far for the local linear estimator and a single treatment effect, are addressed through the general approach of local likelihood.

Whenever a significant effect was found, we reported the effect, and also evaluated and reported whether its significance was robust to a correction for multiple comparisons across delays using Bonferroni's method.

Of the 15 htSNPs across the gene region, 8 htSNPs showed nominal significant association (before correction for multiple testing) with one or both of the game paradigms The most significant association, which is also robust to Bonferroni correction, was observed with rs1042778 for both the Dictator Game (p = 0.001, p corrected 0.016) and SVO (p = 0.002, p corrected = 0.031).

Figure 6 makes it clear that branch lengths are fairly robust to error correction except when the true error is greater than t.

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