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Table 1 Sample size per group n(S, T) for ANCOVA model under \(\alpha =0.05\) and \(1-\beta =0.8\) with different number of pre-treatment and post-treatment measurements

From: The optimal pre-post allocation for randomized clinical trials

S, T

n(S, T)

Sample size reduction percentage (%) \(1-n(S,T)/n(1,1)\)

\(S=1, T=1\)

\(n(1,1)=46\)

-

\(S=2, T=1\)

\(n(2,1)=44\)

4.3%

\(S=1, T=2\)

\(n(1,2)=39\)

15.2%

\(S=1, T=4\)

\(n(1,4)=36\)

21.7%

\(S=2, T=3\)

\(n(2,3)=35\)

23.9%

\(S=2, T=4\)

\(n(2,4)=33\)

28.3%

\(S=4, T=2\)

\(n(4,2)=36\)

21.7%