Barely Significant

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At the level of species within orders, however, we found a negative relationship that reached borderline significance: species from smaller orders tended to have a higher mean research effort than species from larger orders (Spearman rho between the number of species per order and the average number of publications per species within each order = −0.354, p = 0.055, Figure 2b ).
Patterns of research effort in birds.
PLoS One · 2014 · PMC3935962
highly significantqualifiedgold
Further though you have clarified/admitted (lines 261-62: It is possible that, given the small sample size, these correlations were influenced by outliers in our sample), one should keep in mind that highly significant (large) value of ‘Pearson’s correlation coefficient’ alone does not imply cause-effect relationship.
highly significantqualifiedgold
According to the p value found, the null hypothesis was accepted or rejected; in the latter case we concluded that the difference between the groups tested under different experimental conditions was statistically significant; p ⩽0.05 was regarded as statistically significant, p ⩽0.01 as highly significant and p ⩽0.001 as very highly significant.
W1 : All the location distributional characteristics have the same positive trend (dispersion does not contain a trend) W2 : The Lower quantiles have a larger positive trend than the Upper quantiles (dispersion has a negative trend) W3 : The Upper quantiles have a larger positive trend than the Lower quantiles (dispersion has a positive trend).