Four Parameters: Categorical

Author

Alex

We seek to understand the relationship between voter preference and sex in the 1992 Presidential election.For this purpose we utilize the data from the National Election Studies survey of US citizens.There might be some differences between the sort of people who respond to surveys and the sort of people who don’t thus biasing our results. We modeled pres_vote, a character variable, as a multinomial logistic regression model. Women are most likely to support Clinton. About 53% of women claim to support Clinton, although that number could be as high as 58% or as low as 48%.

\[\begin{aligned} \rho_{clinton} &=& \frac{e^{\beta_{0, clinton} + \beta_{1, clinton} male}}{1 + e^{\beta_{0, clinton} + \beta_{1, clinton} male}}\\ \rho_{perot} &=& \frac{e^{\beta_{0, perot} + \beta_{1, perot} male}}{1 + e^{\beta_{0, perot} + \beta_{1, perot} male}}\\ \rho_{bush} &=& 1 - \rho_{clinton} - \rho_{perot} \end{aligned}\]

Characteristic

Beta

95% CI

1
muClinton_(Intercept) 0.45 0.31, 0.60
muPerot_(Intercept) -0.85 -1.1, -0.64
muClinton_sexMale -0.25 -0.48, -0.03
muPerot_sexMale 0.42 0.14, 0.69
1

CI = Credible Interval