Question
We want to examine what factors account for differences in salary in a university department by characteristics of the faculty member: the number of years
We want to examine what factors account for differences in salary in a university department by characteristics of the faculty member: the number of years since each faculty member received their Ph.D. (X1), the number of publications (X2), gender of the professor (1=F, 0=M), and number of citations in the scientific literature (X4).
Table 2: Salary Differentiation
Case | Time | Pubs | Cites | Salary | Gender |
---|---|---|---|---|---|
1 | 3 | 18 | 50 | 51876 | 1 |
2 | 6 | 3 | 26 | 54511 | 1 |
3 | 3 | 2 | 50 | 53425 | 1 |
4 | 8 | 17 | 34 | 61863 | 0 |
5 | 9 | 11 | 41 | 52926 | 1 |
6 | 6 | 6 | 37 | 47034 | 0 |
7 | 16 | 38 | 48 | 66432 | 0 |
8 | 10 | 48 | 56 | 61100 | 0 |
9 | 2 | 9 | 19 | 41934 | 0 |
10 | 5 | 22 | 29 | 47454 | 0 |
11 | 5 | 30 | 28 | 49832 | 1 |
12 | 6 | 21 | 31 | 47047 | 0 |
13 | 7 | 10 | 25 | 39115 | 1 |
14 | 11 | 27 | 40 | 59677 | 0 |
15 | 18 | 37 | 61 | 61458 | 0 |
16 | 6 | 8 | 32 | 54528 | 0 |
17 | 9 | 13 | 36 | 60327 | 1 |
18 | 7 | 6 | 69 | 56600 | 0 |
19 | 7 | 12 | 47 | 52542 | 1 |
20 | 3 | 29 | 29 | 50455 | 1 |
21 | 7 | 29 | 35 | 51647 | 1 |
22 | 5 | 7 | 35 | 62895 | 0 |
23 | 7 | 6 | 18 | 53740 | 0 |
24 | 13 | 69 | 90 | 75822 | 0 |
25 | 5 | 11 | 60 | 56596 | 0 |
26 | 8 | 9 | 30 | 55682 | 1 |
27 | 8 | 20 | 27 | 62091 | 1 |
28 | 7 | 41 | 35 | 42162 | 1 |
29 | 2 | 3 | 14 | 52646 | 1 |
30 | 13 | 27 | 56 | 74199 | 0 |
31 | 5 | 14 | 50 | 50729 | 0 |
32 | 3 | 23 | 25 | 70011 | 0 |
33 | 1 | 1 | 35 | 37939 | 0 |
34 | 3 | 7 | 1 | 39652 | 0 |
35 | 9 | 19 | 69 | 68987 | 0 |
36 | 3 | 11 | 69 | 55579 | 0 |
37 | 9 | 31 | 27 | 54671 | 0 |
38 | 3 | 9 | 50 | 57704 | 0 |
39 | 4 | 12 | 32 | 44045 | 1 |
40 | 10 | 32 | 33 | 51122 | 0 |
41 | 1 | 26 | 45 | 47082 | 0 |
42 | 11 | 12 | 54 | 60009 | 0 |
43 | 5 | 9 | 47 | 58632 | 0 |
44 | 1 | 6 | 29 | 38340 | 0 |
45 | 21 | 39 | 69 | 71219 | 0 |
46 | 7 | 16 | 47 | 53712 | 1 |
47 | 5 | 12 | 43 | 54782 | 1 |
48 | 16 | 50 | 55 | 83503 | 0 |
49 | 5 | 18 | 33 | 47212 | 0 |
50 | 4 | 16 | 28 | 52840 | 1 |
51 | 5 | 5 | 42 | 53650 | 0 |
52 | 11 | 20 | 24 | 50931 | 0 |
53 | 16 | 50 | 31 | 66784 | 1 |
54 | 3 | 6 | 27 | 49751 | 1 |
55 | 4 | 19 | 83 | 74343 | 1 |
56 | 4 | 11 | 49 | 57710 | 1 |
57 | 5 | 13 | 14 | 52676 | 0 |
58 | 6 | 3 | 36 | 41195 | 1 |
59 | 4 | 8 | 34 | 45662 | 1 |
60 | 8 | 11 | 70 | 47606 | 1 |
61 | 3 | 25 | 27 | 44301 | 1 |
62 | 4 | 4 | 28 | 58582 | 1 |
After analyzing Table 2, answer the following questions:
- What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by number of publications?
- What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by number of citations?
- What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by years since the Ph.D.?
- What number is in the denominator of the t-test that is testing the significance of the variance uniquely accounted for by gender?
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