n-parameters
We’re using data from a 2006 experiment involving sending postcards to 180,000 households in Michigan to see how postcards could effect the 2026 Texas gubernatorial election’s voter participation rate. We have concerns that changes to elections and daily life in the last 20 years may change how postcards impact elections. We’re using a linear Bayesian model of age, sex, voter class, and postcard type to model voting behavior. Sending postcards telling people you’ll rat them out to their neighbors if they don’t vote has a positive association with them voting.
\[y_{i} = \beta_{0} + \beta_{1} age\_z + \beta_{2}male_i + \beta_{3}civic\_duty_i + \\ \beta_{4}hawthorne_i + \beta_{5}self_i + \beta_{6}neighbors_i + \\ \beta_{7}Sometimes\ vote_i + \beta_{8}Always\ vote_i + \\ \beta_{9}civic\_duty_i Sometimes\ vote_i + \beta_{10}hawthorne_i Sometimes\ vote_i + \\ \beta_{11}self_i Sometimes\ vote_i + \beta_{11}neighbors_i Sometimes\ vote_i + \\ \beta_{12}civic\_duty_i Always\ vote_i + \beta_{13}hawthorne_i Always\ vote_i + \\ \beta_{14}self_i Always\ vote_i + \beta_{15}neighbors_i Always\ vote_i + \epsilon_{i}\]
Warning in tidy.brmsfit(x, ..., effects = "fixed"): some parameter names
contain underscores: term naming may be unreliable!| Characteristic | Beta | 95% CI1 |
|---|---|---|
| (Intercept) | 0.155 | 0.137, 0.174 |
| age_z | 0.036 | 0.031, 0.042 |
| sex | ||
| sexMale | 0.004 | -0.005, 0.014 |
| treatment | ||
| No Postcard | — | — |
| treatmentCivicDuty | 0.016 | -0.027, 0.057 |
| Hawthorne | 0.004 | -0.037, 0.043 |
| Self | -0.007 | -0.049, 0.035 |
| Neighbors | 0.084 | 0.041, 0.126 |
| voter_class | ||
| Rarely Vote | — | — |
| voter_classSometimesVote | 0.115 | 0.095, 0.135 |
| voter_classAlwaysVote | 0.298 | 0.275, 0.321 |
| treatment * voter_class | ||
| treatmentCivicDuty * voter_classSometimesVote | -0.005 | -0.051, 0.043 |
| Hawthorne * voter_classSometimesVote | 0.010 | -0.033, 0.054 |
| Self * voter_classSometimesVote | 0.059 | 0.012, 0.106 |
| Neighbors * voter_classSometimesVote | -0.009 | -0.057, 0.038 |
| treatmentCivicDuty * voter_classAlwaysVote | -0.009 | -0.061, 0.045 |
| Hawthorne * voter_classAlwaysVote | 0.034 | -0.017, 0.086 |
| Self * voter_classAlwaysVote | 0.047 | -0.007, 0.100 |
| Neighbors * voter_classAlwaysVote | -0.002 | -0.056, 0.050 |
| 1 CI = Credible Interval | ||