Appendix 1—table 1. Robustness of main paper results to alternative regression types and the inclusion/exclusion of covariates.
Logistic regression models with results presented as average marginal effects | Linear probability models | |||
---|---|---|---|---|
With covariates (main paper results) | Without covariates | With covariates | Without covariates | |
Effect of labeled risk compared to unlabeled risk | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) | 3.0 pp (p=0.003) |
Effect of comparison to motor-vehicle mortality compared to no comparison | 2.4 pp (p=0.049) | 2.4 pp (p=0.051) | 2.4 pp (p=0.0498) | 2.4 pp (p=0.052) |
Effect of comparison to COVID-19 mortality compared to no comparison | 0.8 pp (p=0.496) | 0.7 pp (p=0.568) | 0.8 pp (p=0.497) | 0.7 pp (p=0.571) |
Effect of relative comparison compared to absolute comparison | 1.3 pp (p=0.285) | 1.3 pp (p=0.277) | 1.3 pp (p=0.286) | 1.3 pp (p=0.277) |
Effect of both risk labeling and a motor-vehicle comparison compared to no labeling or comparison | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) | 6.1 pp (p<0.001) |
Notes: Outcome: ‘Would you take this vaccine?’ (yes = 1, others = 0). As per our pre-analysis plan, covariates include age, sex, education, and country. Sample sizes for the relative to absolute comparison (N=5998) and effect of both labeling and a motor-vehicle mortality comparison (N=3002) are smaller since they are only estimated among subset of the total sample.