Elitism of the Supreme Court: Liberals v. Conservatives

“After the feedback about this homework, I hopefully fixed my dataset. A tie now consists of a Justice and the school they attened and every school they have hired a clerk from. This solved my issue from before where there was limited connections.

My results were chaotic involving the entire history of Justices. I decided to focus on the current Justices on the Supreme Court. Further, I thought it would be interesting to split up and compare networks of conservative and liberal Justices(based on the party of the appointing president).

The Democrat Appointed Justices Network has 27 nodes, is directed, and has 243 total edges. The REpublican Appointed Justices Network has 35 nodes, is directed, and has 334 total edges.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 1000 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 23.45622

“There is a tiny possibility that the Democrat Appointed Justices Network transitivity observed value of 1 could be randomly generated conditional on only the size of the network, meaning that the observed transitivity is higher than would be expected from a random network. It is 23.46 standard deviations from what we would expect.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 1000 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 23.45622

“The Republican Appointed Justices Network is the exact same as the Demcorats.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 100 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 22.03544

“The Democrat Appointed Justices network transitivity is 22.03 standard deviations from what we would expect compared to null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 100 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 29.37328

“The Republican Appointed Justices network transitivity is 29.37 standard deviations from what we would expect compared to null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 1000 

Observed Value: 2.636095 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 50.64118

“The Democrat Appointed Justices network have a observed value of 2.64 degree centralization which is 52.68 standard deviations what we would expect from a random network null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 1000 

Observed Value: 2.163495 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 48.32089

“The Republican Appointed Justices network have a observed value of 2.16 degree centralization which is 49.29 standard deviations what we would expect from a random network null conditional on size.”

[1] -3.406754

“The Democrat Appointed Justices network has an observed value of 0 which is -3.01 standard deviations from what we would expect from a random network null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: size 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 100 

Observed Value: 0 
Pr(X>=Obs): 1 
Pr(X<=Obs): 0 

[1] -3.404384

“The Republican Appointed Justices network has an observed value of 0 which is -4.20 standard deviations from what we would expect from a random network null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: edges 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 100 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 57.79646

“The Democrat Appointed Justices network has an observed value of 1 which is 57.81 standard deviations from what we would expect from a random network null conditional on size.”

Univariate Conditional Uniform Graph Test

Conditioning Method: edges 
Graph Type: digraph 
Diagonal Used: FALSE 
Replications: 100 

Observed Value: 1 
Pr(X>=Obs): 0 
Pr(X<=Obs): 1 

[1] 61.3773

“The Republican Appointed Justices network has an observed value of 1 which is 60.39 standard deviations from what we would expect from a random network null conditional on size.”