Bioequivalence and Bioavailability Forum

Update: Counterexamples [General Sta­tis­tics]

posted by victor – Malaysia, 2019-11-23 09:05  – Posting: # 20863
Views: 2,648
(edited by victor on 2019-11-23 09:18)

» P.S. I intentionally used < instead of ≤ because I feel that in practice, α_Y will always be less than one.

Note to self: Refer to first image below to see why we need to use ≤

» […] But a preliminary glance seem to suggest that the above theorem is violated by the following cases, […]
Update: More careful observation using a (correctly scaled) uniform sampling distribution for θ, instead of a bivariate normal sampling distribution for θ, reveals the aforementioned violation:

Complete thread:

• What is the largest α (Alpha) & β (Beta) allowed by FDA? victor 2019-11-16 21:57 [General Sta­tis­tics] 
  • What do you want to achieve? Helmut 2019-11-17 01:26
    • I'm seeking to understand the math behind our current regulation victor 2019-11-17 10:53
      • Some answers Helmut 2019-11-17 14:35
        • Wow! Amazing answers! victor 2019-11-18 08:26
          • More answers Helmut 2019-11-18 15:09
            • Wow! More amazing answers! victor 2019-11-18 20:16
              • Books & intersection-union Helmut 2019-11-19 12:01
                • My progress on IUT so far victor 2019-11-22 01:28
                  • Update: Counterexamplesvictor 2019-11-23 09:05