statistically significant

Etymology
Coined by

Adjective

 * 1)  Having a  of 0.05 or less (having a probability of 5% or less of occurring by random chance)
 * 2) Pertaining to

Usage notes

 * Though having a p-value of 0.05 or lower is called "statistically significant", in reality, the significance of this statistic varies; the threshold of statistical significance differs in each set up. The use of this term to mean 0.05 or less results from not doing work to analyze the proper threshold level. Many journals and research papers use a p-value of 0.05 or less without regard to the process being examined, to be statistically significant. This p-value of 0.05 or less and the term "statistically significant" were defined by Sir Ronald Aylmer Fisher, though his thought experiment that founded the framework for determining it used a p-value of 1.5% (0.015)
 * More generally, "statistically significant" means "unlikely to have occurred by random chance," specifically, at least as unlikely as the threshold of statistical significance.