You just became the head of staffing for BabyBots, a manufacturer of small robot
ID: 3204545 • Letter: Y
Question
You just became the head of staffing for BabyBots, a manufacturer of small robots. You were surprised to learn that the company had never validated the manual dexterity test it uses to assess job candidates for its manufacturing jobs. You decided to do a concurrent validation study and administer the test to thirty manufacturing workers. Their scores are reported in Table 8-4, along with their ages, sex, race, and job performance ratings. You also calculated the correlation between the manual dexterity test and job performance to assess the test’s validity. You then examined the relationship between employees’ test scores and their performance ratings. The results of this analysis are shown in Tables 8-5 and 8-6.
[[The data file required for this exercise is located at: http://www.pearsonhighered.com/phillips]]
Table 8-4 Validation Data for the Manual Dexterity Test
1
Employee
Sex
Race
Age
Test Score
Performance Rating
0
0
35
36
90
2
0
1
32
44
95
3
1
0
44
50
95
4
0
2
42
49
93
5
1
2
36
46
89
6
0
1
33
52
94
7
0
1
45
50
92
8
0
0
48
50
93
9
1
2
34
42
83
10
1
2
46
44
89
11
1
0
30
40
87
12
1
0
39
48
95
13
1
2
31
47
90
14
0
1
49
39
80
15
1
0
47
48
92
16
1
1
40
38
79
17
0
0
44
38
80
18
0
1
33
36
72
19
1
0
43
46
89
20
1
0
36
48
92
21
1
1
22
46
89
22
0
2
28
32
70
23
1
2
19
48
94
24
0
2
23
48
94
25
0
2
27
36
74
26
1
1
18
46
85
27
1
1
26
44
79
28
0
1
21
50
95
29
0
2
23
34
70
30
1
1
28
44
83
Mean
34.07
43.97
86.73
SD
9.33
5.54
7.91
Min
18.00
32.00
70.00
Max
49.00
52.00
95.00
Range
31.00
20.00
25.00
Performance rating: 0 = 0% efficiency, 100 = 100% efficiency
Sex: 0 = male; 1 = female
Race: 0 = Hispanic; 1 = White; 2 = Black
Table 8-5 Correlation Table
Age
Sex
Males (0)
Race
Hispanic (0)
Age
Test
Job Performance
1.00
Test
0.12
1.00
Job Performance
0.18
0.86
1.00
Note: Correlations underlined and in bold indicate statistical significance at a level of p < .05.
Table 8-6
Above a Cutoff of 43
Above 43
Total Count
Percent
7 7
14
50.00 .
Females (1)
13
16
81.25
Total
20
30
66.67
Above a Cutoff of 43
Above 43
Total Count
Percent
6 6
9
66.67
White (1)
8
11
72.73
Black (2)
6
10
60.00
Total
20
30
66.67
Questions:
1. What kind of relationship exists between employees’ scores on the manual dexterity test and their performance ratings?
2. Suppose a candidate scored 44 on the manual dexterity test. The regression equation predicting job performance using the manual dexterity test is:
32.465 + (1.234 ´ Manual dexterity test score)
What is the candidate’s predicted job performance?
3. Assume that only candidates with predicted performance above 85 are to be hired. This translates to a score of at least 43 on the manual dexterity test. Assume only those with scores above 43 were hired (20 of the 30 people in this sample). Would the use of this test have led to evidence of adverse impact based on sex or race? The relevant data on the 20 people exceeding the cutoff are above in Table 8-6. Show your computations for adverse impact and then explain why adverse impact exists or not.
Hired
Total
Percentage
Males
Females
80% rule
Adverse impact for gender? Yes or no?
Hired
Total
Percentage
Hispanic
White
Black
80% rule
Adverse impact for race? Yes or No?
4. Given the validity results you found, would you recommend use of this test as a selection device? If so, how would you use it?
Employee
Sex
Race
Age
Test Score
Performance Rating
0
0
35
36
90
2
0
1
32
44
95
3
1
0
44
50
95
4
0
2
42
49
93
5
1
2
36
46
89
6
0
1
33
52
94
7
0
1
45
50
92
8
0
0
48
50
93
9
1
2
34
42
83
10
1
2
46
44
89
11
1
0
30
40
87
12
1
0
39
48
95
13
1
2
31
47
90
14
0
1
49
39
80
15
1
0
47
48
92
16
1
1
40
38
79
17
0
0
44
38
80
18
0
1
33
36
72
19
1
0
43
46
89
20
1
0
36
48
92
21
1
1
22
46
89
22
0
2
28
32
70
23
1
2
19
48
94
24
0
2
23
48
94
25
0
2
27
36
74
26
1
1
18
46
85
27
1
1
26
44
79
28
0
1
21
50
95
29
0
2
23
34
70
30
1
1
28
44
83
Mean
34.07
43.97
86.73
SD
9.33
5.54
7.91
Min
18.00
32.00
70.00
Max
49.00
52.00
95.00
Range
31.00
20.00
25.00
Performance rating: 0 = 0% efficiency, 100 = 100% efficiency
Sex: 0 = male; 1 = female
Race: 0 = Hispanic; 1 = White; 2 = Black
Explanation / Answer
I suppose the tables are as shown above. Please note the answers to questions below: -
1)
The correlation between the test scores and job performance is 0.86 which means that there is positive correlation between the two.
2)
32.465 + (1.234 * Manual dexterity test score)
32.465 + (1.234 * 44)
32.465 + 54.296
86.761
3)
It would have adverse impact for the gender as per the 4/5th rule. Females being hired are (>80%). However, the males that can be hired are only 50% and should be hired are (80*80%)=64% to cancel out adverse effects. Hence, that condition is not being met. This rule wont have any adverse impact on the race.
4)
This test is valid and can be used. However, this should be used very carefully because the test can cause adverse impact on males.
Age Test Job Performance Age 1 Test 0.12 1 Job Performance 0.18 0.86 1 Above 43 Total Count Percent Males (0) 7 14 50 Females (1) 13 16 81.25 Total 20 30 66.67 Above 43 Total Count Percent Hispanic (0) 6 9 66.67 White (1) 8 11 72.73 Black (2) 6 10 60.00 Total 20 30 66.67Related Questions
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