On Tue, 27 Apr 2004 10:22:20 +0200, Christoph Int-Veen
<[EMAIL PROTECTED]> wrote:

> Dear newsgroup,
> 
> i want to design a hypothetical clinical trial with two main questions 
> and a double randomization design, which means that each patient will be 
> randomized two times for treatment and there is no interaction between 
> treatment A and B. (so no 2x2 factorial design)

I don't understand why you say you have no 2x2 factorial. Is it:

Patients are randomized to A or B; later, to C or D.  Unless you
are saying that potential interaction is totally uninteresting, I 
would figure on looking at the interaction. Especially because:
the *starting* score for C or D  may depend on A or B, if one 
is better than the other; 

> As i have to main questions to be tested on the same data i must adjust 
> my alpha because of multiplicity issues.

Well, there can be discussions about that.  'same data' is hardly
a useful guideline.  I would argue that it fails in both directions.

> My question is: The sample size of the trial will be determined by the 
> overall alpha and beta, or by the individual alpha and beta (e.g. the 
> two tests (main questions))?????

The sample size depends on the 'nominal alpha' and beta.
If your nominal alpha were 0.025  because you cut 5% in half
owing to having two tests, then you would have to look for 
the N  demanded by  the 0.025  test.

-- 
Rich Ulrich, [EMAIL PROTECTED]
http://www.pitt.edu/~wpilib/index.html
.
.
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