Correlation between ps scores and performance ratings

Employee ID PS Score Performance Sex Minority(/ )
11 9 5 M 0
12 9 5 F 0
13 9 1 F 0
14 9 5 M 1
15 8 4 F 1
16 8 5 F 0
17 8 4 M 0
18 8 5 M 0
19 8 3 F 0
20 8 4 M 0
21 7 5 F 0
22 7 3 M 1
23 7 4 M 0
24 7 3 F 0
25 7 3 F 0
26 7 4 M 0
27 7 5 M 0
28 6 4 F 0
29 6 4 M 0
30 6 2 F 1
31 6 3 F 1
32 6 3 M 0
33 6 5 M 0
34 6 5 F 0
35 5 3 M 0
36 5 3 F 1
37 5 2 M 1
38 4 2 F 1
39 4 1 M 1
40 3 4 F 0

Using the data above, calculate:

1. Average PS scores for the whole sample, males, females, nonminorities, and minorites.

2. The correlation between PS scores and performance ratings, and its statistical significance (r = .37 or higher is needed for significance at p < .05).

3. Adverse impact (selection rate) statistics for males and females, and nonminorities and minorities. Use a PS score of 7 or higher as a hypothetical passing score (the score that might be used to determine who will or will not be promoted).

4. Average performance rating scores for the whole sample, males, females, nonminorities, and minorities. For each group, evaluate whether the performance rating scores are different for subgroups of employees. Also, evaluate if the magnitude of these differences is sizable enough to warrant concern for Yellow Blaze.

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