Power Calculation of 2x2 crossover design (SAS) [Software]

posted by jdetlor – 2010-09-21 21:14 (5327 d 18:01 ago) – Posting: # 5927
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Dear WeirdDude!

❝ Suppose we have 2x2 crossover design with 2 periods, and sample size is given 12 subjects in each seq. (total N=24). How do i calculate power to detect 20% difference between A and B in AUC ? please provide me formula or SAS code!


Check out:
Section 7.3 - 'Power and sample size for ABE in the 2x2 design' of

B. Jones, M.G. Kenward, "Design and Analysis of Cross-Over Trials", Second edition, Chapman & Hall/CRC 2003.

This section contains the formulas and SAS code for calculating power.

❝ what std. deviation should i use ?


You will have to provide the standard deviation as determined from other sources. Holding the sample size and ratio fixed (@ 24 subjects and a 20% difference as you mentioned), the larger the standard deviation you use, the lower the power.

It should probably be mentioned that with a 20% difference it is very likely your power won't be any where near a level that is acceptable.

J. Detlor

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