Problematic design [Design Issues]

posted by Helmut Homepage – Vienna, Austria, 2013-12-31 16:02 (4564 d 04:27 ago) – Posting: # 12120
Views: 22,615

Hi randomizers,

why do you want to perform such a design? Which is your “target” regulation? Do you want to market both T1 and T2 or are the “candidate formulations” and you will drop one of them? In the latter case I would suggest pilot studies and per­forming the pivotal with the “survivor” in a more conventional design.
If you want to submit the study to the FDA, keep RTR (“non-recommended in vivo study”) in mind!

To get a balanced design is rather difficult. The conditions are:
  1. Each treatment administered once per subject.
  2. Each treatment administered at the same frequency in each period.
  3. Each treatment administered at the same frequency before other treatment.
  4. Each potential comparison across periods at least once.
#1–#3 are recommended and #4 is desirable. None of your previous layouts come even close… The “best” I was able to come up with (acc. to Jones/Kenward 2003, othogonal latin squares in Table 4.3 rearranged) is:

R   R   T1  T2
R   R   T2  T1
R   T1  R   T2
R   T2  R   T1
R   T1  T2  R
R   T2  T1  R
T1  R   R   T2
T2  R   R   T1
T1  R   T2  R
T2  R   T1  R
T1  T2  R   R
T2  T1  R   R

Condition #1 is fulfilled (ignoring the replication), so are #2 and #4. Condition #3 is not fulfilled.* If you know a better one, please let me know. IMHO, full balance could only be achieved if all 4! = 24 permutations are used. Since you don’t want to end up with zero degrees of freedom, that would mean 48 subjects. In their 2001 guidance the FDA argued against a 4-period 4-sequence fully replicated design (instead of the simple RTRT|TRTR). I’m afraid statistics is more demanding than clicking a button in SAS.
Which model/code do you intend to use?



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