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. Author manuscript; available in PMC: 2013 Sep 13.
Published in final edited form as: Stat Med. 2010 Jan 30;29(2):181–192. doi: 10.1002/sim.3772

Table I.

Power and sample size equations for models (3)(6) assuming CS covariance of both response and exposure, and constant exposure prevalence. For models (3), (5) and (6), all participants are assumed to enter the study at the same time (V (t0) = 0). For model (3), all participants are assumed to be unexposed at baseline (Ei,1*=0i).

Power formula: π=Φ[N|γ|/σ̃z1α/2]
Sample size formula: N = σ̃2 (zπ + z1−α/2)22

Model Parameter
of interest
σ̃2
(3) γe*
12σ2(1ρ)(1+rρ)pe(1pe)(r+1)(r+2)[6+2(r3)ρ+r(4+(r5)ρ)ρe]
(4)
γe*W
12σ2(1ρ)pe(1pe)s2r(r+2)[2+(r1)ρe]
(5) γte
12σ2(1ρ)(1+rρ)pe(1pe)s2r(r+1)(r+2)[1+rρρ(1ρe)]
(6)
γteW
12σ2(1ρ)pe(1pe)s2r(r+ρe)(r+2)