Case Study Hamilton County Judges

The purpose of this report is to evaluate the performance of the Hamilton county judges, in three different courts. The data is compiled from information gathered over a three year period and includes a total of 182,908 cases handled by 38 judges in Common Pleas Court, Domestic Relations Court, and Municipal Court. The information presented should help determine how many cases have been appealed, reversed, or a combination of stated variables which will help determine the amount of errors made by judges. The judges will also be ranked in order of efficiency, as to how they appropriately handle each case. The information found is as follows:

Given the data in the sample of Hamilton County Judges the probability of cases being appealed and reversed in all three different courts is presented below.

Common Pleas Court disposed 43, 945 total cases. The total number of cases appealed was 1,762, and the total number of cases reversed was 199. In all cases disposed in the Common Pleas Court, the probability of cases could be appealed and reversed is：

Total reversed cases/ Total appealed cases= 199/1762= 0.11294 or 11.2%
Domestic Relations court disposed a total of 30,499 cases. The total number of cases appealed was 106, and the total number of cases reversed was 17. In all cases disposed in the Domestic Relations Court, the probability of cases could be appealed and reversed is:

Total reversed cases/ Total appealed cases=17/106= 0.16037 or 16%

Municipal Court disposed of a total of 108,464. The total number of cases they appealed was 500, and the total number of cases reversed was 104. In all cases disposed in the Municipal Court, the probability of cases could be appealed and reversed is:

Total reversed cases/ Total appealed cases=104/500= 0.2080 or 20.8%

Given the data in the sample of Hamilton County Judges the probability of cases being appealed by each judge in each of the three court branches is