Update: Counterexamples [General Sta­tis­tics]

posted by victor – Malaysia, 2019-11-23 10:05 (1587 d 08:18 ago) – Posting: # 20863
Views: 6,497

❝ P.S. I intentionally used < instead of ≤ because I feel that in practice, αY 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:

[image]

Complete thread:

UA Flag
Activity
 Admin contact
22,957 posts in 4,819 threads, 1,638 registered users;
83 visitors (0 registered, 83 guests [including 9 identified bots]).
Forum time: 18:23 CET (Europe/Vienna)

Nothing shows a lack of mathematical education more
than an overly precise calculation.    Carl Friedrich Gauß

The Bioequivalence and Bioavailability Forum is hosted by
BEBAC Ing. Helmut Schütz
HTML5