No increase in X was detected.
No difference greater than X was observed.
No significant differences were found between …
None of these differences were statistically significant.
No significant difference between the two groups was evident.
No significant reduction in X was found compared with placebo.
No evidence was found for non-linear associations between X and Y.
No significant correlation was found between X scores and the Y scores (p = .274)

X appeared to be unaffected by Y.
Only trace amounts of X were detected in …
There was no evidence that X has an influence on …
The Chi-square test did not show any significant differences between …
Overall, X did not affect males and females differently in these measures.
A clear benefit of X in the prevention of Y could not be identified in this analysis.
T-tests found no significant differences in mean scores on the X and Y subscales.