Demonstrating Comparability of Stability Profiles Using Statistical Equivalence Testing - The authors present an approach for testing statistical equivalence of two stability profiles. - BioPharm
Demonstrating Comparability of Stability Profiles Using Statistical Equivalence Testing
The authors present an approach for testing statistical equivalence of two stability profiles.
 Mar 1, 2011 BioPharm International Volume 24, Issue 3, pp. 36-42

Step 3: Computing the equivalence test and interpreting the results

The parameter of interest in the equivalence test is the average difference between a historical process slope and a new process slope. For the example, the EAC is defined as 1% per month. A 90% two-sided confidence interval on the difference in average slopes between the historical and new processes is now computed with samples of lots from the two processes. If this confidence interval fits within the range from –1% per month to –1% per month, then equivalence is demonstrated. This is analogous to Scenario C in Figure 1. The formula for the 90% two-sided interval depends on the underlying

 Figure 4. Confidence interval on difference for equivalence test of slopes.
model. For this example, the model that best fits the data assumes that lots are random. In this case, the 90% two-sided interval is where nH and nN are the number of historical and new lots, respectively, and T is the number of time points for each profile. The term "Est. Slope Variance" in the formula is the estimated variance of a slope estimate based on a single lot. This variance is assumed to be equal for the two processes. In this example, bH = -1.13, bN = -1.56, T =4, nH = nN = 4, Est. Slope Variance = 0.0967, and t22;0.05 =1.717.

 Figure 5. Plots of historical and new process slopes and equivalence acceptance criteria (EAC). EAC is donated in red lines.
The lower bound of the 90% two-sided confidence interval shown in Equation 3 is 0.05 % per month, and the upper bound is 0.81 % per month. Because the interval 0.05% per month to 0.81% per month is entirely contained in the range from –1% per month to 1% per month, equivalence has been demonstrated. Figure 4 shows the confidence interval for the difference in average slopes relative to the EAC. The fact that the confidence interval does not include the value 0 implies there is a statistically significant difference between the two slopes with a statistical test size of 0.10 (p-value = 0.0633).