Equivalence Test with Paired Data
Test
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Equivalence Test with Paired DataTest |
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In addition to the confidence interval (CI) for the difference (or ratio), Minitab also performs a hypothesis test. If you use the default method to calculate the CI, then both the test and the CI lead to the same conclusion about claiming equivalence.
The results for the hypothesis test include p-values for two separate null hypotheses:
If both null hypotheses are rejected, then the difference falls within your equivalence interval and you can claim that the means for the products are equivalent.
Example Output |
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Test
Null hypothesis: Difference ≤ -0.5 or Difference ≥ 0.5 Alternative hypothesis: -0.5 < Difference < 0.5 α level: 0.05
Null Hypothesis DF T-Value P-Value Difference ≤ -0.5 13 3.3657 0.003 Difference ≥ 0.5 13 -5.4748 0.000
The greater of the two P-Values is 0.003. Can claim equivalence. |
Interpretation |
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For the contact lens data, you can reject both null hypotheses because the p-values for both tests (0.003 and 0.000) are less than the a level of 0.05. These results indicate that the difference is within your equivalence limits of -0.5 and 0.5. Thus you can conclude that the new solution cleans as well as the leading brand.
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