Stabilized Weights | Time 1 | Time 2 | Time 3 | |
---|---|---|---|---|

IPTW | Numerator^{a} | P(X_{1}=a_{1}) | P(X_{2}=a_{2}|X_{1}=a_{1}) ×P(X_{1}=a_{1}) | P(X_{3}=a_{3}|X_{1}=a_{1}, X_{2}=a_{2}) ×P(X_{2}=a_{2}|X_{1}=a_{1}) ×P(X_{1}=a_{1}) |

Denominator^{a} | P(X_{1}=a_{1}|) | P(X_{2}=a_{2}|X_{1}=a_{1}, ) ×P(X_{1}=a_{1}|) | P(X_{3}=a_{3}|X_{1}=a_{1}, X_{2}=a_{2},) ×P(X_{2}=a_{2}|X_{1}=a_{1}, ) ×P(X_{1}=a_{1}|) | |

IPCW | Numerator^{a} | P(C_{1}=0|) | P(C_{2}=0|C_{1}=0, ) ×P(C_{1}=0|) | P(C_{3}=0| C_{1}=0, C_{2}=0, ) × P(C_{2}=0| C_{1}=0, ) ×P(C_{1}=0|) |

Denominator^{a} | P(C_{1}=0|, ) | P(C_{2}=0|C_{1}=0, , ) ×P(C_{1}=0|, ) | P(C_{3}=0| C_{1}=0, C_{2}=0, , ) × P(C_{2}=0| C_{1}=0, , ) ×P(C_{1}=0|, ) |

X1, X2, and X3 are the exposure;

*a*_{1},*a*_{2}, and*a*_{3}are the values of exposure; and the confounder history (*i.e.,*confounder values since baseline to this time point) is ,, and at time points 1, 2, and 3.*C*_{1},*C*_{2}, and*C*_{3}are the censoring indicators at time points 1, 2, and 3 for one subject. They are defined as 1 if right-censored by that time point, and 0 otherwise. ,, and are the exposure history at time points 1, 2, and 3. IPTW, inverse probability treatment weight; P, probability of; IPCW, inverse probability censoring weight.↵a We can adjust for baseline covariates in all models.