The GPV-based method
Suppose Property A: Fixing Property B: The observation of Property C: For given Without loss of generality, considering the following hypothesis: to test For the test with a significance level In the following, we use the concept of generalized pivotal quantity (GPQ) by Weerahandi [Note that The GPQ of Hence, we can construct a GTV for Given the observed data, the observed value of Since the distribution function of Step 1: Choose Monte-Carlo samples large enough, e.g., Step 2: Use (Step 3: Calculate Step 4: Finally, Since 