Sample size: planned number of observations
Planned sample sizes follow the invitation split of 1.8M total invitations:
Plain control (no video): 40,000 invitations
Each of the four video arms (3 narrative treatments + 1 video control): 440,000 invitations each (total 1,760,000)
Assuming 8% survey completion, the planned number of observations for stated CT availability (survey completers) is:
Plain control: 40,000 × 0.08 = 3,200
Each video arm (T1, T2, T3, video control): 440,000 × 0.08 = 35,200
Total stated-outcome N: 144,000
Assuming 2% CT requests among completers over two years, the planned number of observations for actual CT availability (among CT requests) is:
Plain control: 3,200 × 0.02 = 64
Each video arm (T1, T2, T3, video control): 35,200 × 0.02 = 704
Total CT-request N: 2,880