spearman rho computation
TRANSCRIPT
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COGNITIVE
Table 38 shows that the standard deviation of X ranks or the traits of a leader
(Majorship) is 7.72 while the standard deviation of Y ranks (Informed) is 8.24. The
covariance is -8.61 and the Spearman rho is 0.132. Although technically a negative
correlation, the relationship between your variables is only weak (nb. the nearer the value
is to zero, the weaker the relationship).
Table 38
Faculty of Arts and Languages (FAL)
MAJORSHIP VS INFORMED
SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum
Difference
1 5 1 21.5 6 6.5 -9 -54
2 4 4 9 -6.5 22.5 7 -45.5
3 4 4 9 -6.5 22.5 7 -45.5
4 4 4 9 -6.5 22.5 7 -45.5
5 5 2 21.5 6 14 -1.5 -9
6 5 4 21.5 6 22.5 7 42
7 5 3 21.5 6 17 1.5 9
8 5 1 21.5 6 6.5 -9 -54
9 5 1 21.5 6 6.5 -9 -54
10 4 3 9 -6.5 17 1.5 -9.7511 4 4 9 -6.5 22.5 7 -45.5
12 4 2 9 -6.5 14 -1.5 9.75
13 5 5 21.5 6 28 12.5 75
14 4 5 9 -6.5 28 12.5 -81.25
15 5 1 21.5 6 6.5 -9 -54
16 1 1 1 -14.5 6.5 -9 130.5
17 3 1 3.5 -12 6.5 -9 108
18 5 1 21.5 6 6.5 -9 -54
19 5 1 21.5 6 6.5 -9 -54
20 5 2 21.5 6 14 -1.5 -9
21 5 5 21.5 6 28 12.5 75
22 5 1 21.5 6 6.5 -9 -54
23 3 4 3.5 -12 22.5 7 -8424 5 6 21.5 6 30 14.5 87
25 5 1 21.5 6 6.5 -9 -54
26 3 1 3.5 -12 6.5 -9 108
27 5 3 21.5 6 17 1.5 9
28 3 4 3.5 -12 22.5 7 -84
29 5 4 21.5 6 22.5 7 42
30 5 1 21.5 6 6.5 -9 -54
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Table 39 shows that the standard deviation of the X ranks or the traits of a leader
(Achievements) is 7.61 while the standard deviation of Y ranks (Ambitious) is 8.54. The
covariance is 18.21 and the Spearman rho is 0.28. Although technically a positive
correlation, the relationship between your variables is weak (nb. the nearer the value is to
zero, the weaker the relationship).
Table 39
Faculty of Arts and Languages (FAL)
ACHIEVEMENTS VS AMBITIOUS
SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 5 6 21.5 6 26.5 11 66
2 4 6 7.5 -8 26.5 11 -883 5 3 21.5 6 14 -1.5 -9
4 5 6 21.5 6 26.5 11 66
5 5 1 21.5 6 1.5 -14 -84
6 5 6 21.5 6 26.5 11 66
7 4 2 7.5 -8 6 -9.5 76
8 5 2 21.5 6 6 -9.5 -57
9 5 4 21.5 6 19.5 4 24
10 4 2 7.5 -8 6 -9.5 76
11 5 2 21.5 6 6 -9.5 -57
12 4 3 7.5 -8 14 -1.5 12
13 5 6 21.5 6 26.5 11 6614 4 6 7.5 -8 26.5 11 -88
15 5 5 21.5 6 21.5 6 36
16 4 3 7.5 -8 14 -1.5 12
17 5 6 21.5 6 26.5 11 66
18 5 3 21.5 6 14 -1.5 -9
19 5 3 21.5 6 14 -1.5 -9
20 4 3 7.5 -8 14 -1.5 12
21 5 4 21.5 6 19.5 4 24
22 5 6 21.5 6 26.5 11 66
23 5 5 21.5 6 21.5 6 36
24 4 2 7.5 -8 6 -9.5 7625 4 3 7.5 -8 14 -1.5 12
26 3 3 1.5 -14 14 -1.5 21
27 3 2 1.5 -14 6 -9.5 133
28 5 1 21.5 6 1.5 -14 -84
29 5 3 21.5 6 14 -1.5 -9
30 4 2 7.5 -8 6 -9.5 76
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Table 40 shows that the standard deviation of the X ranks or the traits of a leader
(Organized/Systematic) is 8.1 while the standard deviation of Y ranks (Procedural) is
8.58. The covariance is 32.24 and the Spearman rho is 0.464. Although technically a
positive correlation, the relationship between your variables is weak (nb. the nearer the
value is to zero, the weaker the relationship).
Table 40
Faculty of Arts and Language (FAL)
ORGANIZED/SYSTEMATIC VS PROCEDURALSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 5 6 23.5 8 26.5 11 88
2 4 4 11 -4.5 12 -3.5 15.75
3 3 6 3.5 -12 26.5 11 -132
4 4 1 11 -4.5 2 -13.5 60.75
5 5 5 23.5 8 18 2.5 20
6 5 6 23.5 8 26.5 11 88
7 5 6 23.5 8 26.5 11 88
8 5 5 23.5 8 18 2.5 20
9 4 4 11 -4.5 12 -3.5 15.75
10 4 3 11 -4.5 9 -6.5 29.25
11 5 6 23.5 8 26.5 11 88
12 4 5 11 -4.5 18 2.5 -11.25
13 1 1 1 -14.5 2 -13.5 195.75
14 3 1 3.5 -12 2 -13.5 162
15 4 5 11 -4.5 18 2.5 -11.2516 5 6 23.5 8 26.5 11 88
17 5 3 23.5 8 9 -6.5 -52
18 5 3 23.5 8 9 -6.5 -52
19 5 2 23.5 8 5.5 -10 -80
20 5 6 23.5 8 26.5 11 88
21 4 5 11 -4.5 18 2.5 -11.25
22 5 4 23.5 8 12 -3.5 -28
23 4 2 11 -4.5 5.5 -10 45
24 4 5 11 -4.5 18 2.5 -11.25
25 5 5 23.5 8 18 2.5 20
26 3 2 3.5 -12 5.5 -10 120
27 4 5 11 -4.5 18 2.5 -11.25
28 3 5 3.5 -12 18 2.5 -3029 4 2 11 -4.5 5.5 -10 45
30 5 6 23.5 8 26.5 11 88
Table 41 shows that the standard deviation of the X ranks or the traits of a
leader (rational) is 6.12 while the standard deviation of Y ranks (positive) is 8.6. The
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covariance is 6.91 and the Spearman rho is 0.131. Although technically a positive
correlation, the relationship between your variables is weak (nb. the nearer the value is to
zero, the weaker the relationship).
Table 41
Faculty of Arts and Language (FAL)
RATIONAL VS POSITIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 4 4 -11.5 14 -1.5 17.25
2 5 6 18.5 3 26.5 11 33
3 5 5 18.5 3 19 3.5 10.5
4 4 5 4 -11.5 19 3.5 -40.25
5 5 6 18.5 3 26.5 11 336 5 5 18.5 3 19 3.5 10.5
7 5 5 18.5 3 19 3.5 10.5
8 5 6 18.5 3 26.5 11 33
9 5 2 18.5 3 7 -8.5 -25.5
10 5 2 18.5 3 7 -8.5 -25.5
11 4 1 4 -11.5 2 -13.5 155.25
12 5 6 18.5 3 26.5 11 33
13 5 2 18.5 3 7 -8.5 -25.5
14 5 3 18.5 3 11.5 -4 -12
15 5 4 18.5 3 14 -1.5 -4.5
16 1 4 1 -14.5 14 -1.5 21.7517 5 2 18.5 3 7 -8.5 -25.5
18 5 2 18.5 3 7 -8.5 -25.5
19 5 1 18.5 3 2 -13.5 -40.5
20 5 5 18.5 3 19 3.5 10.5
21 5 6 18.5 3 26.5 11 33
22 5 6 18.5 3 26.5 11 33
23 5 6 18.5 3 26.5 11 33
24 5 2 18.5 3 7 -8.5 -25.5
25 5 2 18.5 3 7 -8.5 -25.5
26 4 3 4 -11.5 11.5 -4 46
27 5 1 18.5 3 2 -13.5 -40.528 5 6 18.5 3 26.5 11 33
29 4 5 4 -11.5 19 3.5 -40.25
30 5 5 18.5 3 19 3.5 10.5
Table 42 shows that the standard deviation of the X ranks or the traits of a
leader (Decisive) is 8.04 while the standard deviation of Y ranks (Future-oriented) is
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8.45. The covariance is 12.98 and the Spearman rho is 0.191. Although technically a
positive correlation, the relationship between your variables is weak (nb. the nearer the
value is to zero, the weaker the relationship).
Table 42
Faculty of Arts and Language (FAL)
DECISIVE VS FUTURE-ORIENTEDSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 5 11 -4.5 28 12.5 -56.25
2 5 5 22.5 7 28 12.5 87.5
3 5 4 22.5 7 25.5 10 70
4 3 2 5.5 -10 11.5 -4 40
5 5 2 22.5 7 11.5 -4 -28
6 2 4 2.5 -13 25.5 10 -1307 3 3 5.5 -10 19 3.5 -35
8 4 1 11 -4.5 5 -10.5 47.25
9 5 3 22.5 7 19 3.5 24.5
10 4 1 11 -4.5 5 -10.5 47.25
11 5 2 22.5 7 11.5 -4 -28
12 3 1 5.5 -10 5 -10.5 105
13 5 3 22.5 7 19 3.5 24.5
14 4 6 11 -4.5 30 14.5 -65.25
15 5 3 22.5 7 19 3.5 24.5
16 5 3 22.5 7 19 3.5 24.5
17 1 1 1 -14.5 5 -10.5 152.25
18 4 1 11 -4.5 5 -10.5 47.25
19 5 3 22.5 7 19 3.5 24.5
20 5 3 22.5 7 19 3.5 24.5
21 5 3 22.5 7 19 3.5 24.5
22 5 5 22.5 7 28 12.5 87.5
23 2 3 2.5 -13 19 3.5 -45.5
24 5 1 22.5 7 5 -10.5 -73.5
25 4 1 11 -4.5 5 -10.5 47.25
26 5 1 22.5 7 5 -10.5 -73.5
27 5 2 22.5 7 11.5 -4 -28
28 3 3 5.5 -10 19 3.5 -35
29 4 1 11 -4.5 5 -10.5 47.25
30 5 3 22.5 7 19 3.5 24.5
Table 43 shows that the standard deviation of the X ranks or the traits of a
leader (Persuasive) is 7.32 while the standard deviation of Y ranks (Convincing) is 8.56.
The covariance is -12.85 and the Spearman rho is -0.205. Although technically a negative
correlation, the relationship between your variables is only weak (nb. the nearer the value
is to zero, the weaker the relationship).
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Table 43
Faculty of Arts and Language (FAL)
PERSUASIVE VS CONVINCINGSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 5 4 20.5 5 21 5.5 27.5
2 4 3 7 -8.5 13.5 -2 17
3 4 6 7 -8.5 30 14.5 -123.25
4 4 3 7 -8.5 13.5 -2 17
5 3 5 2.5 -13 26.5 11 -143
6 5 2 20.5 5 6 -9.5 -47.5
7 5 5 20.5 5 26.5 11 55
8 5 2 20.5 5 6 -9.5 -47.5
9 5 4 20.5 5 21 5.5 27.5
10 5 4 20.5 5 21 5.5 27.5
11 1 3 1 -14.5 13.5 -2 2912 5 5 20.5 5 26.5 11 55
13 5 3 20.5 5 13.5 -2 -10
14 3 2 2.5 -13 6 -9.5 123.5
15 4 3 7 -8.5 13.5 -2 17
16 4 3 7 -8.5 13.5 -2 17
17 5 2 20.5 5 6 -9.5 -47.5
18 5 4 20.5 5 21 5.5 27.5
19 5 2 20.5 5 6 -9.5 -47.5
20 5 1 20.5 5 2 -13.5 -67.5
21 5 3 20.5 5 13.5 -2 -10
22 4 5 7 -8.5 26.5 11 -93.5
23 5 4 20.5 5 21 5.5 27.5
24 5 1 20.5 5 2 -13.5 -67.5
25 5 3 20.5 5 13.5 -2 -10
26 5 3 20.5 5 13.5 -2 -10
27 5 1 20.5 5 2 -13.5 -67.5
28 5 5 20.5 5 26.5 11 55
29 4 5 7 -8.5 26.5 11 -93.5
30 5 3 20.5 5 13.5 -2 -10
Table 44 shows that the standard deviation of the X ranks or the traits of a
leader (sociable) is 7.11 while the standard deviation of Y ranks (cooperative) is 8.18.
The covariance is -0.81 and the Spearman rho is -0.014. Although technically a negative
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correlation, the relationship between your variables is only weak (nb. the nearer the value
is to zero, the weaker the relationship).
Table 44
Faculty of Arts and Language (FAL)
SOCIABLE VS COOPERATIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 5 6 20 4.5 23 7.5 33.75
2 4 6 7 -8.5 23 7.5 -63.75
3 5 3 20 4.5 3.5 -12 -54
4 5 6 20 4.5 23 7.5 33.75
5 5 4 20 4.5 8.5 -7 -31.5
6 5 4 20 4.5 8.5 -7 -31.5
7 5 6 20 4.5 23 7.5 33.758 5 4 20 4.5 8.5 -7 -31.5
9 5 5 20 4.5 13.5 -2 -9
10 1 3 2 -13.5 3.5 -12 162
11 1 4 2 -13.5 8.5 -7 94.5
12 5 6 20 4.5 23 7.5 33.75
13 5 6 20 4.5 23 7.5 33.75
14 5 3 20 4.5 3.5 -12 -54
15 5 6 20 4.5 23 7.5 33.75
16 5 6 20 4.5 23 7.5 33.75
17 5 6 20 4.5 23 7.5 33.75
18 5 5 20 4.5 13.5 -2 -9
19 5 1 20 4.5 1 -14.5 -65.25
20 5 4 20 4.5 8.5 -7 -31.5
21 5 4 20 4.5 8.5 -7 -31.5
22 4 3 7 -8.5 3.5 -12 102
23 4 5 7 -8.5 13.5 -2 17
24 1 6 2 -13.5 23 7.5 -101.25
25 5 6 20 4.5 23 7.5 33.75
26 4 6 7 -8.5 23 7.5 -63.75
27 5 5 20 4.5 13.5 -2 -9
28 3 6 4 -11.5 23 7.5 -86.25
29 4 6 7 -8.5 23 7.5 -63.75
30 5 6 20 4.5 23 7.5 33.75
Table 45 shows that the standard deviation of the X ranks or the traits of a leader
(humble) is 7.42 while the standard deviation of Y ranks (modest) is 8.39. The covariance
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is -4.12 and the Spearman rho is -0.066. Although technically a negative correlation, the
relationship between your variables is only weak (nb. the nearer the value is to zero, the
weaker the relationship).
Table 45
Faculty of Arts and Language (FAL)
HUMBLE VS MODESTSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 3 6.5 -9 7 -8.5 76.5
2 5 5 21 5.5 19 3.5 19.25
3 4 5 6.5 -9 19 3.5 -31.5
4 4 5 6.5 -9 19 3.5 -31.5
5 2 6 1 -14.5 28 12.5 -181.256 5 6 21 5.5 28 12.5 68.75
7 5 3 21 5.5 7 -8.5 -46.75
8 5 6 21 5.5 28 12.5 68.75
9 4 1 6.5 -9 1 -14.5 130.5
10 5 5 21 5.5 19 3.5 19.25
11 5 2 21 5.5 3 -12.5 -68.75
12 5 3 21 5.5 7 -8.5 -46.75
13 5 4 21 5.5 11 -4.5 -24.75
14 4 5 6.5 -9 19 3.5 -31.5
15 5 5 21 5.5 19 3.5 19.25
16 5 4 21 5.5 11 -4.5 -24.75
17 5 5 21 5.5 19 3.5 19.25
18 5 3 21 5.5 7 -8.5 -46.75
19 5 5 21 5.5 19 3.5 19.25
20 5 5 21 5.5 19 3.5 19.25
21 5 5 21 5.5 19 3.5 19.25
22 5 4 21 5.5 11 -4.5 -24.75
23 4 6 6.5 -9 28 12.5 -112.5
24 5 5 21 5.5 19 3.5 19.25
25 4 5 6.5 -9 19 3.5 -31.5
26 4 2 6.5 -9 3 -12.5 112.5
27 4 6 6.5 -9 28 12.5 -112.5
28 4 2 6.5 -9 3 -12.5 112.5
29 5 3 21 5.5 7 -8.5 -46.75
30 5 5 21 5.5 19 3.5 19.25
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Table 46 shows that the standard deviation of the X ranks or the traits of a
leader (Kind) is 8.29 while the standard deviation of Y ranks (Generous) is 8.64. The
covariance is 21.74 and the Spearman rho is 0.304. Although technically a positive
correlation, the relationship between your variables is weak (nb. the nearer the value is to
zero, the weaker the relationship).
Table 46
Faculty of Arts and Language (FAL)
KIND VS GENEROUS
SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference1 4 5 17 1.5 22.5 7 10.5
2 4 4 17 1.5 15.5 0 0
3 4 4 17 1.5 15.5 0 0
4 5 4 27 11.5 15.5 0 0
5 3 3 6.5 -9 9.5 -6 54
6 5 2 27 11.5 5 -10.5 -120.75
7 3 2 6.5 -9 5 -10.5 94.5
8 5 5 27 11.5 22.5 7 80.5
9 4 3 17 1.5 9.5 -6 -9
10 3 6 6.5 -9 28 12.5 -112.5
11 4 5 17 1.5 22.5 7 10.5
12 2 2 1.5 -14 5 -10.5 147
13 3 5 6.5 -9 22.5 7 -63
14 4 6 17 1.5 28 12.5 18.75
15 4 4 17 1.5 15.5 0 0
16 4 5 17 1.5 22.5 7 10.5
17 3 4 6.5 -9 15.5 0 0
18 5 6 27 11.5 28 12.5 143.75
19 3 3 6.5 -9 9.5 -6 54
20 5 6 27 11.5 28 12.5 143.75
21 5 6 27 11.5 28 12.5 143.75
22 2 2 1.5 -14 5 -10.5 147
23 3 5 6.5 -9 22.5 7 -63
24 4 3 17 1.5 9.5 -6 -9
25 4 2 17 1.5 5 -10.5 -15.75
26 5 1 27 11.5 1.5 -14 -161
27 4 4 17 1.5 15.5 0 028 3 1 6.5 -9 1.5 -14 126
29 4 4 17 1.5 15.5 0 0
30 4 4 17 1.5 15.5 0 0
Table 47 shows that the standard deviation of the X ranks or the traits of a
leader (Popular) is 7.25 while the standard deviation of Y ranks (Respectful) is 8.14. The
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covariance is 4.09 and the Spearman rho is 0.069. Although technically a positive
correlation, the relationship between your variables is weak (nb. the nearer the value is to
zero, the weaker the relationship).
Table 47
Faculty of Arts and Language (FAL)
POPULAR VS RESPECTFUL
SAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 1 6 -9.5 8 -7.5 71.25
2 4 2 6 -9.5 19.5 4 -38
3 5 1 20.5 5 8 -7.5 -37.5
4 4 1 6 -9.5 8 -7.5 71.25
5 5 2 20.5 5 19.5 4 20
6 5 1 20.5 5 8 -7.5 -37.5
7 5 1 20.5 5 8 -7.5 -37.5
8 5 1 20.5 5 8 -7.5 -37.5
9 5 2 20.5 5 19.5 4 20
10 4 1 6 -9.5 8 -7.5 71.25
11 1 6 1 -14.5 29.5 14 -203
12 5 1 20.5 5 8 -7.5 -37.5
13 5 2 20.5 5 19.5 4 20
14 4 1 6 -9.5 8 -7.5 71.25
154 1 6 -9.5 8 -7.5 71.25
16 5 2 20.5 5 19.5 4 20
17 5 3 20.5 5 25.5 10 50
18 5 1 20.5 5 8 -7.5 -37.5
19 5 6 20.5 5 29.5 14 70
20 5 3 20.5 5 25.5 10 50
21 5 1 20.5 5 8 -7.5 -37.5
22 5 1 20.5 5 8 -7.5 -37.5
23 5 2 20.5 5 19.5 4 20
24 4 2 6 -9.5 19.5 4 -38
25 5 1 20.5 5 8 -7.5 -37.5
26 5 4 20.5 5 28 12.5 62.5
27 4 3 6 -9.5 25.5 10 -95
28 5 3 20.5 5 25.5 10 50
29 4 1 6 -9.5 8 -7.5 71.25
30 5 2 20.5 5 19.5 4 20
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Table 48 shows that the standard deviation of the X ranks or the traits of a
leader (competitive) is 8.31 while the standard deviation of Y ranks (dynamic) is 8.5. The
covariance is -11.96 and the Spearman rho is -0.169. Although technically a negative
correlation, the relationship between your variables is only weak (nb. the nearer the value
is to zero, the weaker the relationship).
Table 48
Faculty of Arts and Language (FAL)
COMPETITIVE VS DYNAMICSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 2 14.5 -1 13.5 -2 2
2 5 1 24.5 9 4.5 -11 -99
3 4 2 14.5 -1 13.5 -2 2
4 4 2 14.5 -1 13.5 -2 2
5 5 1 24.5 9 4.5 -11 -99
6 5 5 24.5 9 27.5 12 108
7 3 4 6 -9.5 23 7.5 -71.25
8 3 3 6 -9.5 19 3.5 -33.25
9 4 6 14.5 -1 29.5 14 -14
10 3 2 6 -9.5 13.5 -2 19
11 5 1 24.5 9 4.5 -11 -99
12 3 4 6 -9.5 23 7.5 -71.25
13 5 1 24.5 9 4.5 -11 -99
14 3 4 6 -9.5 23 7.5 -71.25
15 5 2 24.5 9 13.5 -2 -1816 3 1 6 -9.5 4.5 -11 104.5
17 5 1 24.5 9 4.5 -11 -99
18 5 2 24.5 9 13.5 -2 -18
19 3 4 6 -9.5 23 7.5 -71.25
20 4 2 14.5 -1 13.5 -2 2
21 4 2 14.5 -1 13.5 -2 2
22 4 6 14.5 -1 29.5 14 -14
23 2 1 1 -14.5 4.5 -11 159.5
24 5 4 24.5 9 23 7.5 67.5
25 5 4 24.5 9 23 7.5 67.5
26 4 5 14.5 -1 27.5 12 -12
27 3 2 6 -9.5 13.5 -2 19
28 5 4 24.5 9 23 7.5 67.529 5 24.5 9 4.5 -11 -99
30 3 6 -9.5 13.5 -2 19
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SKILL
Table 49 shows that the standard deviation of the X ranks or the traits of a
leader (Officer in class/organization) is 7.98 while the standard deviation of Y ranks
(Formal) is 8.6. The covariance is 13.37 and the Spearman rho is 0.195. Although
technically a positive correlation, the relationship between your variables is weak (nb. the
nearer the value is to zero, the weaker the relationship).
Table 49
Faculty of Arts and Language (FAL)
OFFICER IN CLASS/ ORGANIZATION VS FORMALSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 4 13.5 -2 14 -1.5 3
2 5 6 26 10.5 26 10.5 110.25
3 4 5 13.5 -2 19 3.5 -7
4 4 4 13.5 -2 14 -1.5 3
5 3 3 4 -11.5 8.5 -7 80.5
6 5 5 26 10.5 19 3.5 36.75
7 4 5 13.5 -2 19 3.5 -7
8 5 5 26 10.5 19 3.5 36.75
9 4 3 13.5 -2 8.5 -7 14
10 4 6 13.5 -2 26 10.5 -21
11 4 2 13.5 -2 3.5 -12 2412 2 2 1.5 -14 3.5 -12 168
13 2 2 1.5 -14 3.5 -12 168
14 4 6 13.5 -2 26 10.5 -21
15 3 4 4 -11.5 14 -1.5 17.25
16 4 3 13.5 -2 8.5 -7 14
17 5 4 26 10.5 14 -1.5 -15.75
18 5 4 26 10.5 14 -1.5 -15.75
19 5 3 26 10.5 8.5 -7 -73.5
20 4 6 13.5 -2 26 10.5 -21
21 4 6 13.5 -2 26 10.5 -21
22 3 6 4 -11.5 26 10.5 -120.75
23 4 3 13.5 -2 8.5 -7 14
24 4 6 13.5 -2 26 10.5 -21
25 4 1 13.5 -2 1 -14.5 29
26 5 2 26 10.5 3.5 -12 -126
27 5 6 26 10.5 26 10.5 110.25
28 5 5 26 10.5 19 3.5 36.75
29 4 6 13.5 -2 26 10.5 -21
30 4 3 13.5 -2 8.5 -7 14
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Table 50 shows that the standard deviation of the X ranks or the traits of a leader
(extracurricular activities) is 8.48 while the standard deviation of Y ranks (courageous) is
8.53. The covariance is 1.54 and the Spearman rho is 0.021. Although technically a
positive correlation, the relationship between your variables is weak (nb. the nearer the
value is to zero, the weaker the relationship).
Table 50
Faculty of Arts and Language (FAL)
EXTRACURRICULAR ACTIVITIES VS COURAGEOUSSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 2 19 3.5 2.5 -13 -45.5
2 2 3 4.5 -11 8 -7.5 82.5
3 4 4 19 3.5 15.5 0 0
4 4 5 19 3.5 24 8.5 29.75
5 4 5 19 3.5 24 8.5 29.75
6 5 4 27.5 12 15.5 0 0
7 2 3 4.5 -11 8 -7.5 82.5
8 4 2 19 3.5 2.5 -13 -45.5
9 3 5 10.5 -5 24 8.5 -42.5
10 4 3 19 3.5 8 -7.5 -26.25
11 3 4 10.5 -5 15.5 0 0
12 4 5 19 3.5 24 8.5 29.75
13 1 5 1 -14.5 24 8.5 -123.25
14 3 4 10.5 -5 15.5 0 0
15 5 6 27.5 12 29.5 14 16816 2 2 4.5 -11 2.5 -13 143
17 4 6 19 3.5 29.5 14 49
18 4 5 19 3.5 24 8.5 29.75
19 3 2 10.5 -5 2.5 -13 65
20 4 4 19 3.5 15.5 0 0
21 2 4 4.5 -11 15.5 0 0
22 3 4 10.5 -5 15.5 0 0
23 5 5 27.5 12 24 8.5 102
24 5 3 27.5 12 8 -7.5 -90
25 3 4 10.5 -5 15.5 0 0
26 4 3 19 3.5 8 -7.5 -26.25
27 5 3 27.5 12 8 -7.5 -90
28 5 3 27.5 12 8 -7.5 -9029 2 4.5 -11 24 8.5 -93.5
30 2 4.5 -11 24 8.5 -93.5
Table 51 shows that the standard deviation of the X ranks or the traits of a
leader (written/oral communication) is 8.26 while the standard deviation of Y ranks
(communicative) is 8.52. The covariance is -9.77 and the Spearman rho is -0.139.
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8/12/2019 Spearman Rho Computation
14/15
Although technically a negative correlation, the relationship between your variables is
only weak (nb. the nearer the value is to zero, the weaker the relationship).
Table 51
Faculty of Arts and Language (FAL)
WRITTEN/ORAL COMMUNICATION VS COMMUNICATIVESAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 1 12.5 -3 2.5 -13 39
2 4 4 12.5 -3 12 -3.5 10.5
3 5 6 24 8.5 25 9.5 80.75
4 3 6 6 -9.5 25 9.5 -90.25
5 5 2 24 8.5 6.5 -9 -76.5
6 5 6 24 8.5 25 9.5 80.75
7 5 6 24 8.5 25 9.5 80.758 5 6 24 8.5 25 9.5 80.75
9 3 6 6 -9.5 25 9.5 -90.25
10 4 5 12.5 -3 16.5 1 -3
11 1 1 1.5 -14 2.5 -13 182
12 2 6 3.5 -12 25 9.5 -114
13 1 6 1.5 -14 25 9.5 -133
14 4 3 12.5 -3 9.5 -6 18
15 4 5 12.5 -3 16.5 1 -3
16 5 6 24 8.5 25 9.5 80.75
17 5 1 24 8.5 2.5 -13 -110.5
18 5 2 24 8.5 6.5 -9 -76.519 5 1 24 8.5 2.5 -13 -110.5
20 5 5 24 8.5 16.5 1 8.5
21 5 5 24 8.5 16.5 1 8.5
22 4 2 12.5 -3 6.5 -9 27
23 2 6 3.5 -12 25 9.5 -114
24 5 4 24 8.5 12 -3.5 -29.75
25 5 5 24 8.5 16.5 1 8.5
26 3 6 6 -9.5 25 9.5 -90.25
27 4 5 12.5 -3 16.5 1 -3
28 4 4 12.5 -3 12 -3.5 10.5
29 4 2 12.5 -3 6.5 -9 2730 4 3 12.5 -3 9.5 -6 18
` Table 52 shows that the standard deviation of the X ranks or the traits of a
leader (athlete) are 8.53 while the standard deviation of Y ranks (prepared) is 8.52. The
covariance is 20.29 and the Spearman rho is 0.279. Although technically a positive
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8/12/2019 Spearman Rho Computation
15/15
correlation, the relationship between your variables is weak (nb. the nearer the value is to
zero, the weaker the relationship).
Table 52
Faculty of Arts and Language (FAL)
ATHLETE VS PREPAREDSAMPLE X Y Xra Xra-Mx Yra Yra-My Sum Difference
1 4 6 23.5 8 30 14.5 116
2 2 2 9 -6.5 14.5 -1 6.5
3 3 3 15.5 0 20 4.5 0
4 5 2 28.5 13 14.5 -1 -13
5 1 4 4 -11.5 24.5 9 -103.5
6 4 1 23.5 8 6 -9.5 -76
7 3 1 15.5 0 6 -9.5 0
8 3 3 15.5 0 20 4.5 0
9 1 2 4 -11.5 14.5 -1 11.510 1 1 4 -11.5 6 -9.5 109.25
11 4 5 23.5 8 28 12.5 100
12 4 1 23.5 8 6 -9.5 -76
13 3 3 15.5 0 20 4.5 0
14 3 5 15.5 0 28 12.5 0
15 4 3 23.5 8 20 4.5 36
16 3 5 15.5 0 28 12.5 0
17 2 2 9 -6.5 14.5 -1 6.5
18 3 3 15.5 0 20 4.5 0
19 3 4 15.5 0 24.5 9 0
20 1 1 4 -11.5 6 -9.5 109.25
21 2 1 9 -6.5 6 -9.5 61.75
22 1 1 4 -11.5 6 -9.5 109.2523 1 1 4 -11.5 6 -9.5 109.25
24 4 2 23.5 8 14.5 -1 -8
25 5 2 28.5 13 14.5 -1 -13
26 3 1 15.5 0 6 -9.5 0
27 5 4 28.5 13 24.5 9 117
28 5 1 28.5 13 6 -9.5 -123.5
29 1 1 4 -11.5 6 -9.5 109.25
30 3 4 15.5 0 24.5 9 0