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[Reference study data: English]
Total citations, N |
483 |
Citations less than 51yrs old |
467 |
modal age, t* |
7 |
Umax = u(t*) |
7.87% |
mean age, µ |
13.32 |
Skew |
1.38 |
Kurtosis |
593.45 |
lower quartile age |
5 |
median age |
8 |
upper quartile age |
19 |
undated citations |
0.62% |
The line of best fit is R(t) =A + B.t where
A = 0.044515019
B = -0.001022268
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.108484
b = 0.0864
c = 0.4
d = 0.001
and therefore, for this mathematical model,
mean age = 13.32
modal age = 4
theoretical age when maximum citation rate occurs, T = 4.88
. |
Line, R(t) |
Barnett curve, y(t) |
error factor |
130.9455 |
57.9855 |
Pearson's r |
0.8770 |
0.6846 |
Pearson's r² |
0.7692 |
0.4686 |
Alienation |
0.2308 |
0.5314 |
error ratio (L:C) |
2.2582 |
t |
u(t) |
y(t) |
R(t) |
actual count |
0 |
0.000% |
0.011% |
4.452% |
0 |
1 |
2.070% |
2.689% |
4.349% |
10 |
2 |
6.625% |
4.261% |
4.247% |
32 |
3 |
7.660% |
5.112% |
4.145% |
37 |
4 |
7.660% |
5.496% |
4.043% |
37 |
5 |
5.176% |
5.582% |
3.940% |
25 |
6 |
7.246% |
5.482% |
3.838% |
35 |
7 |
7.867% |
5.271% |
3.736% |
38 |
8 |
5.590% |
4.998% |
3.634% |
27 |
9 |
3.520% |
4.693% |
3.531% |
17 |
10 |
3.934% |
4.378% |
3.429% |
19 |
11 |
3.520% |
4.065% |
3.327% |
17 |
12 |
1.242% |
3.761% |
3.225% |
6 |
13 |
2.277% |
3.472% |
3.123% |
11 |
14 |
1.863% |
3.199% |
3.020% |
9 |
15 |
1.035% |
2.944% |
2.918% |
5 |
16 |
1.449% |
2.707% |
2.816% |
7 |
17 |
2.692% |
2.488% |
2.714% |
13 |
18 |
0.828% |
2.285% |
2.611% |
4 |
19 |
0.621% |
2.098% |
2.509% |
3 |
20 |
1.035% |
1.925% |
2.407% |
5 |
21 |
1.863% |
1.767% |
2.305% |
9 |
22 |
2.277% |
1.621% |
2.203% |
11 |
23 |
2.070% |
1.487% |
2.100% |
10 |
24 |
0.414% |
1.365% |
1.998% |
2 |
25 |
0.000% |
1.252% |
1.896% |
0 |
26 |
1.035% |
1.148% |
1.794% |
5 |
27 |
1.656% |
1.053% |
1.691% |
8 |
28 |
1.035% |
0.966% |
1.589% |
5 |
29 |
0.621% |
0.886% |
1.487% |
3 |
30 |
1.035% |
0.813% |
1.385% |
5 |
31 |
0.828% |
0.746% |
1.282% |
4 |
32 |
0.414% |
0.684% |
1.180% |
2 |
33 |
0.000% |
0.627% |
1.078% |
0 |
34 |
0.828% |
0.575% |
0.976% |
4 |
35 |
0.621% |
0.528% |
0.874% |
3 |
36 |
0.414% |
0.484% |
0.771% |
2 |
37 |
0.414% |
0.444% |
0.669% |
2 |
38 |
0.207% |
0.407% |
0.567% |
1 |
39 |
0.414% |
0.374% |
0.465% |
2 |
40 |
0.414% |
0.343% |
0.362% |
2 |
41 |
1.242% |
0.314% |
0.260% |
6 |
42 |
0.621% |
0.288% |
0.158% |
3 |
43 |
0.000% |
0.264% |
0.056% |
0 |
44 |
0.000% |
0.243% |
-0.046% |
0 |
45 |
0.828% |
0.222% |
-0.149% |
4 |
46 |
1.242% |
0.204% |
-0.251% |
6 |
47 |
0.414% |
0.187% |
-0.353% |
2 |
48 |
1.449% |
0.172% |
-0.455% |
7 |
49 |
0.000% |
0.157% |
-0.558% |
0 |
50 |
0.414% |
0.144% |
-0.660% |
2 |
totals |
0.96687 |
0.96687 |
0.96687 |
467 |
Conceptual format |
Physical format |
||||
a |
65.22% |
|
9 |
16.98% |
|
b |
0.62% |
|
8 |
1.66% |
|
c |
9.32% |
|
subtotal |
18.63% |
|
f |
0.00% |
|
7 |
62.94% |
|
g |
0.00% |
|
6 |
1.24% |
|
h |
0.00% |
|
subtotal |
64.18% |
|
i |
0.00% |
|
5 |
1.86% |
|
subtotal |
75.16% |
4 |
0.00% |
|
|
d |
20.29% |
|
3 |
1.86% |
|
e |
4.55% |
|
2 |
4.35% |
|
subtotal |
24.84% |
1 |
9.11% |
|
|
j |
0.00% |
|
0 |
0.00% |