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[Citation study data: Humanities]
|
Total citations, N |
1,469 |
|
Citations less than 51yrs old |
1310.5 |
|
modal age, [t*]H |
4 |
|
Umax,H |
7.49% |
|
mean age, µH |
14.37 |
|
Skew |
1.20 |
|
Kurtosis |
531.92 |
|
lower quartile age |
5 |
|
median age |
10 |
|
upper quartile age |
21 |
The line of best fit is R(t) =A + B.t where
A = 0.041068456
B = -0.000858425
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.0840567
b = 0.0756
c = 0.4
d = 0.015
and therefore, for this mathematical model,
mean age = 14.37
modal age = 5
theoretical age when maximum citation rate occurs, T = 5.09
|
. |
Line, R(t) |
Barnett curve, y(t) |
|
error factor |
76.9210 |
34.4276 |
|
Pearson's r |
0.8966 |
0.7507 |
|
Pearson's r² |
0.8038 |
0.5636 |
|
Alienation |
0.1962 |
0.4364 |
|
error ratio (L:C) |
2.2343 |
|
|
Age |
Distributions |
actual counts |
||||
|
t |
uH(t) |
yH(t) |
RH(t) |
Eng. |
His. |
total |
|
0 |
0.204% |
0.127% |
4.107% |
0 |
3 |
3 |
|
1 |
1.498% |
2.277% |
4.021% |
10 |
12 |
22 |
|
2 |
5.071% |
3.558% |
3.935% |
32 |
42.5 |
74.5 |
|
3 |
5.956% |
4.270% |
3.849% |
37 |
50.5 |
87.5 |
|
4 |
7.488% |
4.609% |
3.763% |
37 |
73 |
110 |
|
5 |
4.289% |
4.709% |
3.678% |
25 |
38 |
63 |
|
6 |
4.221% |
4.659% |
3.592% |
35 |
27 |
62 |
|
7 |
5.718% |
4.515% |
3.506% |
38 |
46 |
84 |
|
8 |
4.561% |
4.318% |
3.420% |
27 |
40 |
67 |
|
9 |
2.587% |
4.091% |
3.334% |
17 |
21 |
38 |
|
10 |
4.731% |
3.852% |
3.248% |
19 |
50.5 |
69.5 |
|
11 |
3.131% |
3.612% |
3.163% |
17 |
29 |
46 |
|
12 |
1.770% |
3.375% |
3.077% |
6 |
20 |
26 |
|
13 |
2.178% |
3.147% |
2.991% |
11 |
21 |
32 |
|
14 |
2.859% |
2.930% |
2.905% |
9 |
33 |
42 |
|
15 |
2.893% |
2.725% |
2.819% |
5 |
37.5 |
42.5 |
|
16 |
1.940% |
2.531% |
2.733% |
7 |
21.5 |
28.5 |
|
17 |
2.076% |
2.351% |
2.648% |
13 |
17.5 |
30.5 |
|
18 |
0.840% |
2.182% |
2.562% |
4 |
8.3 |
12.3 |
|
19 |
0.340% |
2.025% |
2.476% |
3 |
2 |
5 |
|
20 |
0.908% |
1.878% |
2.390% |
5 |
8.3 |
13.3 |
|
21 |
2.541% |
1.742% |
2.304% |
9 |
28.3 |
37.3 |
|
22 |
1.089% |
1.616% |
2.218% |
11 |
5 |
16 |
|
23 |
2.110% |
1.499% |
2.132% |
10 |
21 |
31 |
|
24 |
1.089% |
1.390% |
2.047% |
2 |
14 |
16 |
|
25 |
0.545% |
1.289% |
1.961% |
0 |
8 |
8 |
|
26 |
1.804% |
1.195% |
1.875% |
5 |
21.5 |
26.5 |
|
27 |
0.953% |
1.108% |
1.789% |
8 |
6 |
14 |
|
28 |
1.157% |
1.027% |
1.703% |
5 |
12 |
17 |
|
29 |
0.681% |
0.953% |
1.617% |
3 |
7 |
10 |
|
30 |
0.749% |
0.883% |
1.532% |
5 |
6 |
11 |
|
31 |
1.702% |
0.819% |
1.446% |
4 |
21 |
25 |
|
32 |
1.055% |
0.759% |
1.360% |
2 |
13.5 |
15.5 |
|
33 |
0.340% |
0.704% |
1.274% |
0 |
5 |
5 |
|
34 |
0.477% |
0.653% |
1.188% |
4 |
3 |
7 |
|
35 |
1.089% |
0.605% |
1.102% |
3 |
13 |
16 |
|
36 |
0.238% |
0.561% |
1.017% |
2 |
1.5 |
3.5 |
|
37 |
0.272% |
0.520% |
0.931% |
2 |
2 |
4 |
|
38 |
0.442% |
0.482% |
0.845% |
1 |
5.5 |
6.5 |
|
39 |
0.272% |
0.447% |
0.759% |
2 |
2 |
4 |
|
40 |
0.204% |
0.415% |
0.673% |
2 |
1 |
3 |
|
41 |
0.885% |
0.385% |
0.587% |
6 |
7 |
13 |
|
42 |
0.340% |
0.357% |
0.501% |
3 |
2 |
5 |
|
43 |
0.170% |
0.331% |
0.416% |
0 |
2.5 |
2.5 |
|
44 |
0.272% |
0.307% |
0.330% |
0 |
4 |
4 |
|
45 |
0.340% |
0.284% |
0.244% |
4 |
1 |
5 |
|
46 |
0.477% |
0.264% |
0.158% |
6 |
1 |
7 |
|
47 |
0.408% |
0.244% |
0.072% |
2 |
4 |
6 |
|
48 |
1.327% |
0.227% |
-0.014% |
7 |
12.5 |
19.5 |
|
49 |
0.306% |
0.210% |
-0.099% |
0 |
4.5 |
4.5 |
|
50 |
0.613% |
0.195% |
-0.185% |
2 |
7 |
9 |
|
totals: |
0.89210 |
0.89210 |
1 |
467 |
843.5 |
1310.5 |