TOST Equivalence Test
The hypotheses for an equivalence test are
where
and
are the lower and upper bounds specified in the TOST option in the PROC TTEST statement, and
is the analysis criterion (mean, mean ratio, or mean difference, depending on the analysis). Following the two one-sided tests (TOST) procedure of Schuirmann (1987), the equivalence test is conducted by performing two separate tests:
and
The overall
-value is the larger of the two
-values of those tests.
Rejection of
in favor of
at significance level
occurs if and only if the
confidence interval for
is contained completely within
. So, the
confidence interval for
is displayed in addition to the usual
interval.
See Phillips (1990), Diletti, Hauschke, and Steinijans (1991), and Hauschke et al. (1999) for further discussion of equivalence testing for the designs supported in the TTEST procedure.
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