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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).