Table 5.
Comparison of log-binomial and Robust Poisson methods for analysis of death penalty associated with covariates*
| Independent Variable | Log Prevalence Ratio Estimate† (SE) | P-Value | ||
| Log-Binomial | Robust Poisson | Log-Binomial | Robust Poisson | |
| Black Defendant | 0.3152(0.1367) | 0.5935 (0.1992) | 0.0224 | 0.0029 |
| White Victim | 0.1219 (0.1078) | 0.3173 (0.2061) | 0.2288 | 0.1238 |
| Serious | -0.0010 (0.0174) | 0.0023 (0.0352) | 0.9305 | 0.9475 |
| Culpability | 1.8062 (0.2750) | 1.9223 (0.4453) | 0.0000 | 0.0000 |
| Culpability Squared | -0.2006 (0.0308) | -0.2158 (0.0624) | 0.0007 | 0.0005 |
* Wald tests were used for the Robust Poisson method, and likelihood ratio tests were used for the log-binomial method. The latter were obtained by fitting a model without the effect being tested. The log-binomial method failed to converge for all models containing Black Defendant. In these cases, the COPY method approximation was used.
† The intercept estimate was -4.4445 for the log-binomial method and -4.9193 for the Robust Poisson method. Of the 147 probability estimates, 5 were greater than unity for the Robust Poisson method, and the largest was 1.28.