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. 2022 Jan 5;31(2):300–314. doi: 10.1177/09622802211065158

Table 2.

Summary of notation used for the observed and counterfactual data and the intent-to-treat (ITT) parameter of interest.

Variable Meaning
k When used as superscript, represents the treatment strategy: initiate
treatment at time k unless already delivered.
For t=1,,K
   W(t) Measured covariates at time t.
   A(t) Treatment status at time t, binary.
   D(t) Delivery status at time t, binary.
   Sk(t) Indicator of following treatment initiation strategy k up to time t.
TD Observed time of delivery.
Y Outcome, measured at delivery.
TDk Counterfactual delivery time that we assume would have been
observed had the person been assigned the treatment initiation
strategy k.
Yk Counterfactual outcome that we assume would have been observed
had the person been assigned the treatment initiation strategy k.
E(Yk1)E(Yk2) The ITT contrast on the difference scale comparing treatment initiation
strategies k1 versus k2 .