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[Reference study data: History]
|
Total citations, N |
986 |
|
Citations less than 51yrs old |
844 |
|
modal age, t* |
4 |
|
Umax = u(t*) |
7.40% |
|
mean age, µ |
14.95 |
|
Skew |
1.11 |
|
Kurtosis |
503.98 |
|
lower quartile age |
5 |
|
median age |
11 |
|
upper quartile age |
22 |
|
undated citations |
4.67% |
The line of best fit is R(t) =A + B.t where
A = 0.03622816
B = -0.000778164
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.066876
b = 0.0677
c = 0.45
d = 0.05
and therefore, for this mathematical model,
mean age = 14.95
modal age = 5
theoretical age when maximum citation rate occurs, T = 4.82
|
. |
Line, R(t) |
Barnett curve, y(t) |
|
error factor |
69.8822 |
39.8730 |
|
Pearson's r |
0.8425 |
0.6994 |
|
Pearson's r² |
0.7098 |
0.4891 |
|
Alienation |
0.2902 |
0.5109 |
|
error ratio (L:C) |
1.7526 |
|
|
t |
u(t) |
y(t) |
R(t) |
actual count |
|
0 |
0.304% |
0.343% |
3.623% |
3 |
|
1 |
1.217% |
2.306% |
3.545% |
12 |
|
2 |
4.310% |
3.421% |
3.467% |
42.5 |
|
3 |
5.122% |
4.005% |
3.389% |
50.5 |
|
4 |
7.404% |
4.257% |
3.312% |
73 |
|
5 |
3.854% |
4.307% |
3.234% |
38 |
|
6 |
2.738% |
4.234% |
3.156% |
27 |
|
7 |
4.665% |
4.090% |
3.078% |
46 |
|
8 |
4.057% |
3.908% |
3.000% |
40 |
|
9 |
2.130% |
3.706% |
2.922% |
21 |
|
10 |
5.122% |
3.498% |
2.845% |
50.5 |
|
11 |
2.941% |
3.291% |
2.767% |
29 |
|
12 |
2.028% |
3.090% |
2.689% |
20 |
|
13 |
2.130% |
2.897% |
2.611% |
21 |
|
14 |
3.347% |
2.713% |
2.533% |
33 |
|
15 |
3.803% |
2.539% |
2.456% |
37.5 |
|
16 |
2.181% |
2.375% |
2.378% |
21.5 |
|
17 |
1.775% |
2.221% |
2.300% |
17.5 |
|
18 |
0.845% |
2.076% |
2.222% |
8.3 |
|
19 |
0.203% |
1.941% |
2.144% |
2 |
|
20 |
0.845% |
1.814% |
2.066% |
8.3 |
|
21 |
2.874% |
1.696% |
1.989% |
28.3 |
|
22 |
0.507% |
1.585% |
1.911% |
5 |
|
23 |
2.130% |
1.481% |
1.833% |
21 |
|
24 |
1.420% |
1.385% |
1.755% |
14 |
|
25 |
0.811% |
1.294% |
1.677% |
8 |
|
26 |
2.181% |
1.209% |
1.600% |
21.5 |
|
27 |
0.609% |
1.130% |
1.522% |
6 |
|
28 |
1.217% |
1.056% |
1.444% |
12 |
|
29 |
0.710% |
0.987% |
1.366% |
7 |
|
30 |
0.609% |
0.922% |
1.288% |
6 |
|
31 |
2.130% |
0.862% |
1.211% |
21 |
|
32 |
1.369% |
0.806% |
1.133% |
13.5 |
|
33 |
0.507% |
0.753% |
1.055% |
5 |
|
34 |
0.304% |
0.704% |
0.977% |
3 |
|
35 |
1.318% |
0.658% |
0.899% |
13 |
|
36 |
0.152% |
0.615% |
0.821% |
1.5 |
|
37 |
0.203% |
0.574% |
0.744% |
2 |
|
38 |
0.558% |
0.537% |
0.666% |
5.5 |
|
39 |
0.203% |
0.502% |
0.588% |
2 |
|
40 |
0.101% |
0.469% |
0.510% |
1 |
|
41 |
0.710% |
0.438% |
0.432% |
7 |
|
42 |
0.203% |
0.409% |
0.355% |
2 |
|
43 |
0.254% |
0.383% |
0.277% |
2.5 |
|
44 |
0.406% |
0.358% |
0.199% |
4 |
|
45 |
0.101% |
0.334% |
0.121% |
1 |
|
46 |
0.101% |
0.312% |
0.043% |
1 |
|
47 |
0.406% |
0.292% |
-0.035% |
4 |
|
48 |
1.268% |
0.273% |
-0.112% |
12.5 |
|
49 |
0.456% |
0.255% |
-0.190% |
4.5 |
|
50 |
0.710% |
0.238% |
-0.268% |
7 |
|
totals |
0.85548 |
0.85547 |
0.85548 |
843.5 |
|
Conceptual format |
Physical format |
||||
|
a |
50.41% |
|
9 |
15.01% |
|
|
b |
3.25% |
|
8 |
3.80% |
|
|
c |
15.52% |
|
subtotal |
18.81% |
|
|
f |
0.61% |
|
7 |
55.78% |
|
|
g |
3.14% |
|
6 |
0.00% |
|
|
h |
1.72% |
|
subtotal |
55.78% |
|
|
i |
0.00% |
|
5 |
0.10% |
|
|
subtotal |
74.65% |
4 |
1.22% |
|
|
|
d |
21.81% |
|
3 |
0.56% |
|
|
e |
3.55% |
|
2 |
4.46% |
|
|
subtotal |
25.35% |
1 |
18.86% |
|
|
|
j |
0.00% |
|
0 |
0.20% |
|