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[Reference study data: Psychology]
|
Total citations, N |
2,779 |
|
Citations less than 51yrs old |
2,763 |
|
modal age, t* |
4 |
|
Umax = u(t*) |
9.61% |
|
mean age, µ |
10.06 |
|
Skew |
1.62 |
|
Kurtosis |
364.28 |
|
lower quartile age |
5 |
|
median age |
8 |
|
upper quartile age |
13 |
|
undated citations |
0.11% |
The line of best fit is R(t) =A + B.t where
A = 0.053092115
B = -0.001343887
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.215975
b = 0.1363
c = 0.344
d = 0.025
and therefore, for this mathematical model,
mean age = 10.06
modal age = 4
theoretical age when maximum citation rate occurs, T = 4.34
|
. |
Line, R(t) |
Barnett curve, y(t) |
|
error factor |
130.33473 |
17.15264 |
|
Pearson's r |
0.9776 |
0.8107 |
|
Pearson's r² |
0.9558 |
0.6572 |
|
Alienation |
0.0442 |
0.3428 |
|
error ratio (L:C) |
7.5985 |
|
|
t |
u(t) |
y(t) |
R(t) |
actual count |
|
0 |
0.576% |
0.547% |
5.309% |
16 |
|
1 |
3.203% |
4.012% |
5.175% |
89 |
|
2 |
4.678% |
6.006% |
5.040% |
130 |
|
3 |
5.434% |
7.017% |
4.906% |
151 |
|
4 |
9.608% |
7.382% |
4.772% |
267 |
|
5 |
7.953% |
7.334% |
4.637% |
221 |
|
6 |
8.600% |
7.033% |
4.503% |
239 |
|
7 |
6.477% |
6.585% |
4.368% |
180 |
|
8 |
6.657% |
6.064% |
4.234% |
185 |
|
9 |
6.261% |
5.517% |
4.100% |
174 |
|
10 |
5.470% |
4.974% |
3.965% |
152 |
|
11 |
3.490% |
4.454% |
3.831% |
97 |
|
12 |
3.922% |
3.966% |
3.697% |
109 |
|
13 |
3.598% |
3.518% |
3.562% |
100 |
|
14 |
2.915% |
3.110% |
3.428% |
81 |
|
15 |
2.591% |
2.742% |
3.293% |
72 |
|
16 |
2.159% |
2.413% |
3.159% |
60 |
|
17 |
1.763% |
2.120% |
3.025% |
49 |
|
18 |
1.763% |
1.860% |
2.890% |
49 |
|
19 |
0.756% |
1.630% |
2.756% |
21 |
|
20 |
1.259% |
1.428% |
2.621% |
35 |
|
21 |
1.151% |
1.250% |
2.487% |
32 |
|
22 |
0.756% |
1.093% |
2.353% |
21 |
|
23 |
1.331% |
0.955% |
2.218% |
37 |
|
24 |
0.432% |
0.835% |
2.084% |
12 |
|
25 |
1.080% |
0.730% |
1.949% |
30 |
|
26 |
0.540% |
0.637% |
1.815% |
15 |
|
27 |
0.504% |
0.556% |
1.681% |
14 |
|
28 |
1.223% |
0.486% |
1.546% |
34 |
|
29 |
0.324% |
0.424% |
1.412% |
9 |
|
30 |
0.576% |
0.370% |
1.278% |
16 |
|
31 |
0.504% |
0.323% |
1.143% |
14 |
|
32 |
0.216% |
0.282% |
1.009% |
6 |
|
33 |
0.180% |
0.246% |
0.874% |
5 |
|
34 |
0.072% |
0.215% |
0.740% |
2 |
|
35 |
0.324% |
0.188% |
0.606% |
9 |
|
36 |
0.108% |
0.164% |
0.471% |
3 |
|
37 |
0.180% |
0.143% |
0.337% |
5 |
|
38 |
0.108% |
0.125% |
0.202% |
3 |
|
39 |
0.072% |
0.109% |
0.068% |
2 |
|
40 |
0.072% |
0.095% |
-0.066% |
2 |
|
41 |
0.036% |
0.083% |
-0.201% |
1 |
|
42 |
0.000% |
0.072% |
-0.335% |
0 |
|
43 |
0.072% |
0.063% |
-0.470% |
2 |
|
44 |
0.180% |
0.055% |
-0.604% |
5 |
|
45 |
0.000% |
0.048% |
-0.738% |
0 |
|
46 |
0.072% |
0.042% |
-0.873% |
2 |
|
47 |
0.000% |
0.037% |
-1.007% |
0 |
|
48 |
0.036% |
0.032% |
-1.141% |
1 |
|
49 |
0.036% |
0.028% |
-1.276% |
1 |
|
50 |
0.108% |
0.024% |
-1.410% |
3 |
|
totals |
0.99424 |
0.99424 |
0.99424 |
2763 |
|
Conceptual format |
Physical format |
||||
|
a |
20.04% |
|
9 |
48.58% |
|
|
b |
0.68% |
|
8 |
3.45% |
|
|
c |
6.62% |
|
subtotal |
52.03% |
|
|
f |
0.00% |
|
7 |
18.10% |
|
|
g |
1.15% |
|
6 |
0.43% |
|
|
h |
0.43% |
|
subtotal |
18.53% |
|
|
i |
0.00% |
|
5 |
0.50% |
|
|
subtotal |
28.93% |
4 |
2.59% |
|
|
|
d |
65.78% |
|
3 |
0.97% |
|
|
e |
0.36% |
|
2 |
10.58% |
|
|
subtotal |
66.14% |
1 |
9.57% |
|
|
|
j |
0.00% |
|
0 |
5.22% |
|