Causal Effect

Author

Tanish Thaker

Warning: package 'brms' was built under R version 4.4.1
Warning: package 'Rcpp' was built under R version 4.4.1
Warning: package 'tidybayes' was built under R version 4.4.1
Warning: package 'gtsummary' was built under R version 4.4.1

Warning in tidy.brmsfit(x, ..., effects = "fixed"): some parameter names
contain underscores: term naming may be unreliable!

Characteristic

Beta

95% CI

1
(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

\[y_{i} = \beta_{0} + \beta_{1} age\_z + \beta_{2}male_i + \beta_{3}civic\_duty_i + \\ \beta_{4}hawthorne_i + \beta_{5}self_i + \beta_{6}neighbors_i + \\ \beta_{7}Sometimes\ vote_i + \beta_{8}Always\ vote_i + \\ \beta_{9}civic\_duty_i Sometimes\ vote_i + \beta_{10}hawthorne_i Sometimes\ vote_i + \\ \beta_{11}self_i Sometimes\ vote_i + \beta_{11}neighbors_i Sometimes\ vote_i + \\ \beta_{12}civic\_duty_i Always\ vote_i + \beta_{13}hawthorne_i Always\ vote_i + \\ \beta_{14}self_i Always\ vote_i + \beta_{15}neighbors_i Always\ vote_i + \epsilon_{i}\]

Using the data from an experiment to find out whether and to what extent people are motivated to vote by social pressure, we seek to forecast the causal effect on voter participation of sending postcards in the Texas gubernatorial general election of 2026. Stability might not be true because the way people view politics has changed from 2006 because of new things such as social media. We modeled primary_06, a binary 0/1 integer variable indicating whether the respondent voted in the 2006 primary election, and the type of postcard they recieved. People who have been voting in the past are more likely to vote again.