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[Reference study data: Political studies]
Total citations, N |
413 |
Citations less than 51yrs old |
410 |
modal age, t* |
2 and 5 |
Umax = u(t*) |
12.59% |
mean age, µ |
7.84 |
Skew |
2.81 |
Kurtosis |
823.57 |
lower quartile age |
3 |
median age |
5.5 |
upper quartile age |
8 |
undated citations |
0 |
The line of best fit is R(t) =A + B.t where
A = 0.058009123
B = -0.001541748
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.22775
b = 0.1645
c = 0.571
d = 0.01
and therefore, for this mathematical model,
mean age = 7.84
modal age = 3
theoretical age when maximum citation rate occurs, T = 3.04
. |
Line, (R(t) |
Barnett curve, y(t) |
error factor |
348.9773 |
0.1864 |
Pearson's r |
0.9502 |
0.6873 |
Pearson's r² |
0.9028 |
0.4723 |
Alienation |
0.0972 |
0.5277 |
error ratio (L:C) |
5.0440 |
t |
u(t) |
y(t) |
R(t) |
actual count |
0 |
0.242% |
0.229% |
5.801% |
1 |
1 |
6.538% |
6.648% |
5.647% |
27 |
2 |
12.591% |
9.285% |
5.493% |
52 |
3 |
8.394% |
9.937% |
5.338% |
34.7 |
4 |
9.201% |
9.593% |
5.184% |
38 |
5 |
12.591% |
8.796% |
5.030% |
52 |
6 |
10.573% |
7.833% |
4.876% |
43.7 |
7 |
7.264% |
6.855% |
4.722% |
30 |
8 |
7.506% |
5.933% |
4.568% |
31 |
9 |
5.730% |
5.100% |
4.413% |
23.7 |
10 |
2.663% |
4.365% |
4.259% |
11 |
11 |
3.874% |
3.724% |
4.105% |
16 |
12 |
0.484% |
3.171% |
3.951% |
2 |
13 |
1.453% |
2.697% |
3.797% |
6 |
14 |
0.484% |
2.292% |
3.642% |
2 |
15 |
0.484% |
1.946% |
3.488% |
2 |
16 |
0.242% |
1.652% |
3.334% |
1 |
17 |
0.484% |
1.402% |
3.180% |
2 |
18 |
0.969% |
1.190% |
3.026% |
4 |
19 |
0.484% |
1.010% |
2.872% |
2 |
20 |
0.000% |
0.857% |
2.717% |
0 |
21 |
0.242% |
0.727% |
2.563% |
1 |
22 |
0.000% |
0.617% |
2.409% |
0 |
23 |
0.000% |
0.523% |
2.255% |
0 |
24 |
0.484% |
0.444% |
2.101% |
2 |
25 |
0.242% |
0.376% |
1.947% |
1 |
26 |
0.000% |
0.319% |
1.792% |
0 |
27 |
0.000% |
0.271% |
1.638% |
0 |
28 |
0.484% |
0.230% |
1.484% |
2 |
29 |
0.000% |
0.195% |
1.330% |
0 |
30 |
0.242% |
0.165% |
1.176% |
1 |
31 |
0.242% |
0.140% |
1.021% |
1 |
32 |
0.726% |
0.119% |
0.867% |
3 |
33 |
0.000% |
0.101% |
0.713% |
0 |
34 |
0.000% |
0.086% |
0.559% |
0 |
35 |
2.179% |
0.073% |
0.405% |
9 |
36 |
0.000% |
0.062% |
0.251% |
0 |
37 |
0.000% |
0.052% |
0.096% |
0 |
38 |
0.242% |
0.044% |
-0.058% |
1 |
39 |
0.000% |
0.038% |
-0.212% |
0 |
40 |
0.000% |
0.032% |
-0.366% |
0 |
41 |
0.000% |
0.027% |
-0.520% |
0 |
42 |
0.000% |
0.023% |
-0.674% |
0 |
43 |
0.000% |
0.019% |
-0.829% |
0 |
44 |
0.000% |
0.017% |
-0.983% |
0 |
45 |
0.000% |
0.014% |
-1.137% |
0 |
46 |
1.937% |
0.012% |
-1.291% |
8 |
47 |
0.000% |
0.010% |
-1.445% |
0 |
48 |
0.000% |
0.009% |
-1.599% |
0 |
49 |
0.000% |
0.007% |
-1.754% |
0 |
50 |
0.000% |
0.006% |
-1.908% |
0 |
totals |
0.99274 |
0.99272 |
0.99274 |
410 |
Conceptual format |
Physical format |
||||
a |
49.64% |
|
9 |
14.04% |
|
b |
0.97% |
|
8 |
3.39% |
|
c |
20.58% |
|
subtotal |
17.43% |
|
f |
1.45% |
|
7 |
67.55% |
|
g |
0.00% |
|
6 |
0.97% |
|
h |
0.00% |
|
subtotal |
68.52% |
|
i |
0.00% |
|
5 |
0.00% |
|
subtotal |
72.64% |
4 |
0.24% |
|
|
d |
13.80% |
|
3 |
0.97% |
|
e |
13.56% |
|
2 |
8.39% |
|
subtotal |
27.36% |
1 |
4.44% |
|
|
j |
0.00% |
|
0 |
0.00% |