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Mean Potential Values and Average Causal Effects Given Principal Strata
| Proportions of principal strata | Mean potential outcome |
Average causal effect given C | |
|---|---|---|---|
| X = 0 | X = 1 | ||
| π n | μ n0 | μ n1 | γn = μn1 − μn0 |
| π f | μ f0 | μ f1 | γf = μf1 − μf0 |
| π b | μ b0 | μ b1 | γb = μb1 − μb0 |
| π a | μ a0 | μ a1 | γa = μa1 − μa0 |
Note. X = experimental (treatment) condition assignment status; C = principal stratum membership; n = never-improver; f = forward-improver; b = backward-improver; a = always-improver.
