In: Statistics and Probability
The management potential of future administrators was rated by a panel of three judges. Each judge rated a candidate on a scale of 1 (high performance) to 6 (low performance). However before using these ratings to choose a candidate, the firm wanted to check the reliability of the raters to see if there was a difference between the ratings of the judges. The data are included below. Many times one judge will be stricter on his/her rating of a candidate’s potential. Test to see if the individual ratings by all the judges are the same or if at least one is different from the others.
Candidate | Rater 1 | Rater 2 | Rater 3 |
A | 4.5 | 4.5 | 5.0 |
B | 2.5 | 4.5 | 4.5 |
C | 5.0 | 3.0 | 4.0 |
D | 4.0 | 4.5 | 4.5 |
E | 1.5 | 2.0 | 4.5 |
F | 3.5 | 4.5 | 4.5 |
G | 4.0 | 4.0 | 4.0 |