An insignificant difference doesn't mean that you've proven no difference; it just means that you haven't proved that there is one.
An ANOVA on laterality quotients proved no sex difference in the degree of lateral preference between men (0.81, SE = 0.03) and women (0.79, SE = 0.03).
Predictably, the right wing's all-caps brigade jumped on the occasion: the incident proved there was no difference between Democrats and socialists, and dammit, they were right all along to warn us about Obama's socialist ways.
However, our hypothesis that elderly have an increased incidence of sepsis, bacteremia, pneumonia, cellulitis, and burn wound infection was not proved; there was no difference between adults and elderly.
Although no causality can be proved, this difference in dosage may be an explanation.
As this exhibition should prove, Delaunay saw no difference between her painting and what she called her "decorative work".
That proved the difference.
He proved the difference in an even encounter.
Above all, though, it was Dowsett's desire that proved the difference.
Indeed, it was the man who came before them as England No10 who sparkled briefly and proved the difference.
