Barely Significant
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“close to significance”

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In the literature

I suggest rephrasing as "where the signal came close to significance", or replace "a number" with something a little more descriptive (eg: "most", or give respective numbers of replicates in which elevations were found). lines 189-190: I don't understand the description of QTL genomic intervals at all.
The Spanish olive flies experienced a demographic expansion that fitted a sudden expansion model (SSD = 0.0022, p > 0.05; Figure S3 ), according to the unimodal mismatch distribution and the inferences from negative D values of D Tajima, Fu’s Fs and very low R2, which were statistically significant or close to significance.
Multivariate Regression Analysis Results In the univariate analyses, multivariate logistic regression analysis established by the stepwise method was applied by including variables (age, sex, BMI, TBFM, BFP [%], BFM of trunk [kg], VFL, and MWID [L]) that were statistically significant or close to significance with the presence of GD.
The primary limitations of the present study are (a) the analysis of GRIK1 mRNA expression in only a limited number of samples and (b) marginally significant associations between the studied genetic variants and ADHD, as is evident from the close to significance p-values, low relative risk, and power of the association tests.
The RS parameter (radial S; the average of the measurements of S [reciprocal of the asymptote slope at P on the compactness profile] all around the section) appeared to have a weaker signal with a value of lambda between 0.322 and 0.482 (mean = 0.377) and a p ‐value that was close to significance (0.06–0.13; mean = 0.1).