Five Parameters

Author

Alan Tao

My question is: How long do political candidates live after the election? I have examined the preceptor table and validity. One problem is that the birth and death dates of losing candidates aren’t well documented. I have also examined the population table, stability, representativeness and unconfoundedness. One problem is that only two candidates are documented each year. I then made a model with the equation lived_after = sex * election_age. Finally, I added draws on both male and female candidates at the age of 50. I plotted them and saw that males lived longer and the distribution also had lower standard deviation.

\[ lived\_after_i = \beta_0 + \beta_1 male_i + \beta_2 c\_election\_age_i + \\ \beta_3 male_i * c\_election\_age_i + \epsilon_i \]

 Family: gaussian 
  Links: mu = identity; sigma = identity 
Formula: lived_after ~ sex * election_age 
   Data: df1 (Number of observations: 1092) 
  Draws: 4 chains, each with iter = 2000; warmup = 1000; thin = 1;
         total post-warmup draws = 4000

Regression Coefficients:
                     Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS
Intercept               19.77     22.29   -24.03    63.02 1.00     1158
sexMale                 52.83     22.42     9.91    97.33 1.00     1163
election_age            -0.06      0.38    -0.79     0.66 1.00     1162
sexMale:election_age    -0.79      0.38    -1.53    -0.07 1.00     1166
                     Tail_ESS
Intercept                1606
sexMale                  1544
election_age             1534
sexMale:election_age     1554

Further Distributional Parameters:
      Estimate Est.Error l-95% CI u-95% CI Rhat Bulk_ESS Tail_ESS
sigma    11.07      0.24    10.60    11.54 1.00     2405     1933

Draws were sampled using sampling(NUTS). For each parameter, Bulk_ESS
and Tail_ESS are effective sample size measures, and Rhat is the potential
scale reduction factor on split chains (at convergence, Rhat = 1).