Equivalence testing, an alternative to testing for statistical significance, is little used in educational research. Equivalence testing is useful in situations where the researcher wishes to show that two means are not significantly different. A simulation study assessed the relationships between effect size, sample size, statistical significance, and statistical equivalence.
Mecklin, Christopher J.
"A Comparison Of Equivalence Testing In Combination With Hypothesis Testing And Effect Sizes,"
Journal of Modern Applied Statistical Methods: Vol. 2
, Article 6.
Available at: http://digitalcommons.wayne.edu/jmasm/vol2/iss2/6