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Table 1 Observations and parameters by group and actual treatment for the 2-stage randomised design

From: Estimation of treatment preference effects in clinical trials when some participants are indifferent to treatment choice

Actual treatment   Choice arm (Total sample size = m) Random arm (Total sample size = n)
   Choose A Choose B Undecided (and randomised)
A Sample size m 1 m 3 /2 n 1
Observations x 11 ,…x 1,m1   v 11 ,…v 1,m3/2 y 11 ,… y 1,n1
Mean μ 11 12 ) μ 13 μ 1
SD σ 11   σ 13 σ 1
B Sample size m 2 m 3 /2 n 2
Observation   x 21 ,…x 2,m2 v 21 ,…v 2,m3/2 y 21 ,…y 2,n2
Mean 21 ) μ 22 μ 23 μ 2
SD   σ 22 σ 23 σ 2
  1. μ12 and μ21 are not observable