Table 5.
Simulated Linking Variables, Covariates, and Outcomes
| Linking Variables | f(ZA) | f(ZB) | |
|---|---|---|---|
| Age | N(50,52) | N(45, 102) | |
| Gender | Bernoulli(0.5) | Bernoulli(0.5) | |
| ZIP Code | 1st Digit ~Discrete Uniform(6) | 1st Digit ~Discrete Uniform(6) | |
| 2nd Digit ~Discrete Uniform(7) | 2nd Digit ~Discrete Uniform(7) | ||
| 3rd Digit ~Discrete Uniform(7) | 3rd Digit ~Discrete Uniform(7) | ||
| 4th Digit ~Discrete Uniform(7) | 4th Digit ~Discrete Uniform(7) | ||
| f(XA) | l : Cl > 0 | l : Cl = 0 | |
| Prior Hospitalization | Poisson(1) | Poisson(0.75) | |
| Prior Log-Healthcare Cost | N(10,32) | N(6,42) | |
| Outcome Type | τ ATT | f(Y(1)∣XA, ZA) | |
| Continuous | 0 | N(7.95-0.7*Gender+0.4*PriorHosp+.2*PriorCost, 0.1) | |
| Continuous | 0.05 | N(8.00-0.7*Gender+0.4*PriorHosp+.2*PriorCost, 0.1) | |
| Continuous | 0.10 | N(8.05-0.7*Gender+0.4*PriorHosp+.2*PriorCost, 0.1) | |
| Count | 0 | Poisson(exp(0.3431-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |
| Count | 0.15 | Poisson(exp(0.4155-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |
| Count | 0.20 | Poisson(exp(0.4384-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |
| Binary | 0 | Bernoulli(expit(−1.1973-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |
| Binary | 0.04 | Bernoulli(expit(−1.0132-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |
| Binary | 0.08 | Bernoulli(expit(−0.8395-0.7*Gender+0.2*PriorHosp+0.05*PriorCost)) | |