Potvin C or B? [Two-Stage / GS Designs]

posted by Helmut Homepage – Vienna, Austria, 2012-06-07 20:28 (5122 d 16:04 ago) – Posting: # 8678
Views: 12,077

Dear ElMaestro!

❝ Defaulting to 0.0294 […] I guess I will store it mentally along with the likes of 2.9979x108 m/s and 6.626x10-34 Js, and I will call it "Pt" for 'Pocock's universial two-stage constant'. Communication and education is necessary.


Yep. Nice term.

❝ […] can we produce proof that […]


❝ Elementary my dear Watson, the answers are given by Potvin herself.


Not quite. Don’t mix up (mathematical/statistical) proof with (pseudoempiric) evidence obtained by simulations. Since the latter contains endless tables it can easily be discerned from the former, which looks like:

From the statement __________
and __________
we obtain __________
in which __________
with __________
together with __________
we also have __________
and therefore, effectively, __________
the desired formula emerges as __________.
Accordingly, a non-Hermitian canonical variable transformation function can serve as a generator for the transformation function referring to unperturbed oscillator energy states.
Therefore follows __________.
Alternatively, if we choose __________
there appears __________.
Thus __________
and __________
where the latter version is obtained from __________.
*

The ‘__________’s are generally substituted by whacky formulas. Use mainly Greek letters and Hebraic ones if needed. If 3-dimensional circular integrals are contained, even better. Matrix notation is preferred. Throw in ‘proposition’, ‘theorem’, ‘corollary’, ‘lemma’ and the like to your taste. Add footnotes for spice.

I invited a group from the universities of Vienna and Lancaster to work on the problem a good while ago. They said that ‘in principle’ a full adaptive design should be possible for any cross-over, including replicates. Seems to be more challenging that they thought in the first place…

❝ Furthermore, the crackpot paper demonstrated …


:-D



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