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[Citation study data: English]
Total References, N |
292 |
References less than 51yrs old |
277 |
modal age, t* |
6 |
Umax = u(t*) |
7.53% |
mean age, µ |
14.23 |
Skew |
1.21 |
Kurtosis |
544.85 |
lower quartile age |
5 |
median age |
9 |
upper quartile age |
21 |
undated references |
0.68% |
The line of best fit is R(t) =A + B.t where
A = 0.041705407
B = -0.000924193
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.0882741
b = 0.0752
c = 0.45
d = 0
and therefore, for this mathematical model,
mean age = 14.23
modal age = 5
theoretical age when maximum citation rate occurs, T = 4.77
. |
Line, R(t) |
Barnett curve, y(t) |
error factor |
95.91089 |
41.27748 |
Pearson's r |
0.8867 |
0.7043 |
Pearson's r² |
0.7863 |
0.4960 |
Alienation |
0.2137 |
0.5040 |
error ratio (L:C) |
2.3236 |
t |
u(t) |
y(t) |
R(t) |
actual count |
0 |
0.000% |
0.000% |
4.171% |
0 |
1 |
2.740% |
2.559% |
4.078% |
8 |
2 |
6.164% |
4.006% |
3.986% |
18 |
3 |
5.822% |
4.756% |
3.893% |
17 |
4 |
5.479% |
5.075% |
3.801% |
16 |
5 |
5.137% |
5.131% |
3.708% |
15 |
6 |
7.534% |
5.029% |
3.616% |
22 |
7 |
5.822% |
4.836% |
3.524% |
17 |
8 |
6.849% |
4.596% |
3.431% |
20 |
9 |
3.425% |
4.333% |
3.339% |
10 |
10 |
4.110% |
4.063% |
3.246% |
12 |
11 |
2.740% |
3.797% |
3.154% |
8 |
12 |
2.055% |
3.540% |
3.062% |
6 |
13 |
2.397% |
3.296% |
2.969% |
7 |
14 |
2.397% |
3.064% |
2.877% |
7 |
15 |
1.712% |
2.847% |
2.784% |
5 |
16 |
1.027% |
2.644% |
2.692% |
3 |
17 |
2.055% |
2.454% |
2.599% |
6 |
18 |
1.027% |
2.278% |
2.507% |
3 |
19 |
0.685% |
2.113% |
2.415% |
2 |
20 |
1.027% |
1.961% |
2.322% |
3 |
21 |
1.370% |
1.819% |
2.230% |
4 |
22 |
2.740% |
1.687% |
2.137% |
8 |
23 |
1.370% |
1.565% |
2.045% |
4 |
24 |
0.685% |
1.452% |
1.952% |
2 |
25 |
0.000% |
1.347% |
1.860% |
0 |
26 |
1.712% |
1.249% |
1.768% |
5 |
27 |
1.370% |
1.159% |
1.675% |
4 |
28 |
0.685% |
1.075% |
1.583% |
2 |
29 |
0.685% |
0.997% |
1.490% |
2 |
30 |
1.370% |
0.925% |
1.398% |
4 |
31 |
0.685% |
0.858% |
1.306% |
2 |
32 |
0.685% |
0.796% |
1.213% |
2 |
33 |
0.000% |
0.738% |
1.121% |
0 |
34 |
1.027% |
0.685% |
1.028% |
3 |
35 |
1.027% |
0.635% |
0.936% |
3 |
36 |
0.685% |
0.589% |
0.843% |
2 |
37 |
0.685% |
0.546% |
0.751% |
2 |
38 |
0.342% |
0.507% |
0.659% |
1 |
39 |
0.685% |
0.470% |
0.566% |
2 |
40 |
0.685% |
0.436% |
0.474% |
2 |
41 |
1.370% |
0.404% |
0.381% |
4 |
42 |
0.342% |
0.375% |
0.289% |
1 |
43 |
0.000% |
0.348% |
0.197% |
0 |
44 |
0.000% |
0.323% |
0.104% |
0 |
45 |
1.027% |
0.299% |
0.012% |
3 |
46 |
1.370% |
0.278% |
-0.081% |
4 |
47 |
0.685% |
0.258% |
-0.173% |
2 |
48 |
0.685% |
0.239% |
-0.266% |
2 |
49 |
0.000% |
0.222% |
-0.358% |
0 |
50 |
0.685% |
0.206% |
-0.450% |
2 |
totals |
0.94863 |
0.94863 |
0.94863 |
277 |
Conceptual format |
Physical format |
||||
a |
69.52% |
|
9 |
15.07% |
|
b |
0.34% |
|
8 |
1.03% |
|
c |
9.59% |
|
subtotal |
16.10% |
|
f |
0.00% |
|
7 |
63.36% |
|
g |
0.00% |
|
6 |
2.05% |
|
h |
0.00% |
|
subtotal |
65.41% |
|
i |
0.00% |
|
5 |
2.74% |
|
subtotal |
79.45% |
4 |
0.00% |
|
|
d |
16.78% |
|
3 |
0.68% |
|
e |
3.77% |
|
2 |
3.77% |
|
subtotal |
20.55% |
1 |
11.30% |
|
|
j |
0.00% |
|
0 |
0.00% |