Table II.
Point estimates of the treatment effects (and associated uncertainty) for the ordinary least squares (OLS), two-stage least squares (2SLS), two-stage predictor substitution (2SPS), two-stage residual inclusion (2SRI), maximum likelihood (MLE), and the Bayesian procedures on the Florida Medicaid population
| Two-stage | Likelihood-based | ||||||
|---|---|---|---|---|---|---|---|
| Term | Quantity | OLS | 2SLS | 2SPS | 2SRI | MLE | Bayesian |
| β1 | Estimate | 1.022 | −0.028 | 0.237 | 0.193 | −0.793 | −0.773 |
| Standard deviation | 0.010 | 0.169 | 0.144 | 0.145 | 0.031 | 0.031 | |
 |
Estimate | 9 965 | −263.3 | 2 262 | 1 911 | −9393 | −9948 |
| Standard deviation | 122.8 | 1 607 | 1 415 | 1 668 | 537.2 | 531.5 | |
| ATE | Estimate | 1.049 | 1.013 | ||||
| Standard deviation | 0.010 | 0.010 | |||||
| ATE $ | Estimate | 9 576 | 10 190 | ||||
| Standard deviation | 107.1 | 94.3 | |||||
| ρ | Estimate | 0.721 | 0.696 | ||||
| Standard deviation | 0.008 | 0.008 | |||||
The ATE, ATE $, and ρ are only estimated for the likelihood-based procedures as estimation relies on the specification of a probability distribution for the observations.