Statistically Significant Definition

    It is important to have an understanding of
statistical significance.   What does statistically
significant mean?

Statistically Significant Definition:

A result in a study can be viewed as statistically
significant if the probability of achieving the result
or a result more extreme by chance alone is less
than . 05.

      It is important to understand that statistical
significance reflects the chance probability, not the
magnitude or effect size of a difference or result.  A
result could be statistically significant and the
difference between two groups could be very small.  
Also, a difference between two groups could be large
but the difference fails to be statistically significant
(the chance probability is greater than . 05).