Testing equivalence of means (independent samples)

Test if there is equivalence of the means of two independent samples.

1. Select a cell in the dataset.
2. On the Analyse-it ribbon tab, in the Statistical Analyses group, click Compare Groups, and then click TOST hypothesis test.
   The analysis task pane opens.
3. In the Y drop-down list, select the quantitative response variable.
4. In the X drop-down list, select the categorical factor variable identifying the groups.
5. In the Test drop-down list, select either Student's t or Welch t depending on the homogeneity of variances.

   The TOST equivalence test is actually specified through the Hypotheses drop-down list, the Test drop-down list indicates the type of t-test to use.

6. In the Equivalence interval edit boxes, type the lower and upper bounds of the equivalence interval. For example, type-5 to +5 if differences between the means of ±5 is the effect size considered to be practically the same.
7. Optional: To compare the p-value against a predefined significance level, in the Significance level edit box, type the maximum probability of rejecting the null hypothesis when in fact it is true (typically 5% or 1%).
8. Click Calculate.