Polarization of Congress Members by State

This report will investigate the polarization of the states in regards to the Economic Liberalism-Conservatism policies of congress members based on the different states through the country. I believe this is important due to how the study will show the different levels of polarization based on the state from where congress members are, providing important information on how defined the ideologies in different states are or not.

Causes

For the analysis of the causes of the polarization of the members of congress, I decided to further research the states in which the Republic and Democratic parties are the most popular. Additionally, in order to reduce the bias when picked the states, I randomized the pick by creating an excel spreasheet and having it select 10 states for each of the parties. The hope of the study is to prove the role that the state of origin of the congress members has a big role in their ideologies and biases, furthermore in the polarization of the liberalist-conservative ideologies.

ModelDem<-summary(lm(StateFilteredDem$dw1 ~ StateFilteredDem$ptyunity + StateFilteredDem$sc + StateFilteredDem$wptycount))
ModelDem
## 
## Call:
## lm(formula = StateFilteredDem$dw1 ~ StateFilteredDem$ptyunity + 
##     StateFilteredDem$sc + StateFilteredDem$wptycount)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.87937 -0.05568  0.01178  0.06729  0.28182 
## 
## Coefficients:
##                              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 4.867e-01  2.014e-02  24.168  < 2e-16 ***
## StateFilteredDem$ptyunity  -9.691e-03  2.294e-04 -42.242  < 2e-16 ***
## StateFilteredDem$sc        -3.270e-04  6.577e-05  -4.973 6.94e-07 ***
## StateFilteredDem$wptycount  4.018e-05  7.196e-06   5.583 2.56e-08 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1018 on 3285 degrees of freedom
## Multiple R-squared:  0.3709, Adjusted R-squared:  0.3704 
## F-statistic: 645.7 on 3 and 3285 DF,  p-value: < 2.2e-16

Based on the linear model demonstrated above in which; the congress member’s ideology, the percentage of votes casted in cogress, the numerical code for the states and the number of votes from the members it can be seen how for the Democrat party, these variables do not play a big role in their polarization for their ideologies. As it can be seen, the adjusted R^2 value is 0.3704 meaning that a very low percentage of the member’s ideologies is affected by the analyzed variables. This goes against the purpose of the study, due to the hope that there is a strong correlation in which the state from where the congress member is from plays an important role in their ideologies.

ModelRep<-summary(lm(StateFilteredRep$dw1 ~ StateFilteredRep$ptyunity + StateFilteredRep$sc + StateFilteredRep$wptycount))
ModelRep
## 
## Call:
## lm(formula = StateFilteredRep$dw1 ~ StateFilteredRep$ptyunity + 
##     StateFilteredRep$sc + StateFilteredRep$wptycount)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -0.38818 -0.09209 -0.01714  0.08081  0.89464 
## 
## Coefficients:
##                              Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                -5.656e-01  3.586e-02 -15.772  < 2e-16 ***
## StateFilteredRep$ptyunity   8.562e-03  4.323e-04  19.805  < 2e-16 ***
## StateFilteredRep$sc         2.490e-03  3.560e-04   6.996 4.24e-12 ***
## StateFilteredRep$wptycount  3.447e-04  1.613e-05  21.368  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.1406 on 1275 degrees of freedom
## Multiple R-squared:  0.5861, Adjusted R-squared:  0.5851 
## F-statistic: 601.8 on 3 and 1275 DF,  p-value: < 2.2e-16

The linear model in which the Republican party’s ideology is analyzed throgh the same variables as the Democrat model, proves distinct results. At first, it can be seen how the R^2 value is significantly higher than the Democrat one, at 0.5851 (0.21496 higher than the previous model), which is not yet highly significant, but does demonstrate a big role of the variables in the Republican ideology. It would seem like the state of origin from the congress members is an important in the ideology the party members take, and combined with their votes statsitics, it can be seen how these variables do play a bigger role in the decisions and apporaches they take in their politics.

t.test(StateFilteredRep$dw1)
## 
##  One Sample t-test
## 
## data:  StateFilteredRep$dw1
## t = 72.379, df = 1278, p-value < 2.2e-16
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
##  0.4297313 0.4536760
## sample estimates:
## mean of x 
## 0.4417037
t.test(StateFilteredRep$dw1)
## 
##  One Sample t-test
## 
## data:  StateFilteredRep$dw1
## t = 72.379, df = 1278, p-value < 2.2e-16
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
##  0.4297313 0.4536760
## sample estimates:
## mean of x 
## 0.4417037

Conclusion

In conclusion, what was expected to be proved in the study was not done so in completion due to how the state of origin did not play such a big role as it was expected. For instance, the Democratic party did not prove to be influenced much by where its members are from as their R^2 value was very low regarding the percentage of the role the state had on the ideologies of the Democrats ideologies. Whilst in the case of the Republicans, a higher R^2 percentage value was obtained, possibly indicating a higher influence on the ideologies, the results did not prove to be very strong, thus proving the hypothesis to be proven wrong to some extent. Additionally, through the analysis of the polarization data for both parties, it can be seen how both parties in the selected states present different variances in the polarization values. At first, it can be seen how the Democrats do not present very extreme values in the scale from 0 to -1 as their polarization mainly varies around -0.4, demonstrating to be closer to a neutral stance than to an extreme of the ideology they follow. On the other hand, the Republican Party did demonstrate more variances as they had a great number o values in different numbr in the polarization scale on the other side, being from 0 to 1. Primarily the high values of their polarization are in between 0.1 and 0.7, demonstrating more extreme ideologies and stronger beliefs in what they follow. Thus, it can be concluded to how the support from the voters in different states does not have such a strong relation as it was believed to have in the polarization of the members of congress.