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[Citation study data: History]
Total References, N |
512 |
References less than 51yrs old |
390 |
modal age, t* |
4 |
Umax= u(t*) |
3.91% |
mean age, µ |
17.04 |
Skew |
0.80 |
Kurtosis |
438.15 |
lower quartile age |
7 |
median age |
14 |
upper quartile age |
26 |
undated references |
8.98% |
The line of best fit is R(t) =A + B.t where
A = 0.028611956
B = -0.000547818
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.04294
b = 0.0513
c = 0.448
d = 0.1
and therefore, for this mathematical model,
mean age = 17.04
modal age = 4
theoretical age when maximum citation rate occurs, T = 5.21
. |
Line, R(t) |
Barnett curve, y(t) |
error factor |
26.55907 |
14.87390 |
Pearson's r |
0.7071 |
0.3251 |
Pearson's r² |
0.5000 |
0.1057 |
Alienation |
0.5000 |
0.8943 |
error ratio (L:C) |
1.7856 |
t |
u(t) |
y(t) |
R(t) |
actual count |
0 |
0.391% |
0.452% |
2.861% |
2 |
1 |
1.172% |
1.765% |
2.806% |
6 |
2 |
3.418% |
2.530% |
2.752% |
17.5 |
3 |
3.613% |
2.949% |
2.697% |
18.5 |
4 |
3.906% |
3.150% |
2.642% |
20 |
5 |
2.539% |
3.215% |
2.587% |
13 |
6 |
2.930% |
3.196% |
2.533% |
15 |
7 |
3.516% |
3.127% |
2.478% |
18 |
8 |
3.320% |
3.029% |
2.423% |
17 |
9 |
2.539% |
2.915% |
2.368% |
13 |
10 |
3.809% |
2.793% |
2.313% |
19.5 |
11 |
1.953% |
2.668% |
2.259% |
10 |
12 |
2.344% |
2.544% |
2.204% |
12 |
13 |
1.953% |
2.423% |
2.149% |
10 |
14 |
1.367% |
2.306% |
2.094% |
7 |
15 |
3.027% |
2.193% |
2.039% |
15.5 |
16 |
2.441% |
2.085% |
1.985% |
12.5 |
17 |
2.051% |
1.982% |
1.930% |
10.5 |
18 |
1.042% |
1.883% |
1.875% |
5.3 |
19 |
0.391% |
1.790% |
1.820% |
2 |
20 |
0.846% |
1.700% |
1.766% |
4.3 |
21 |
2.018% |
1.616% |
1.711% |
10.3 |
22 |
0.977% |
1.535% |
1.656% |
5 |
23 |
2.148% |
1.458% |
1.601% |
11 |
24 |
1.953% |
1.385% |
1.546% |
10 |
25 |
0.977% |
1.316% |
1.492% |
5 |
26 |
2.246% |
1.250% |
1.437% |
11.5 |
27 |
1.172% |
1.188% |
1.382% |
6 |
28 |
1.563% |
1.128% |
1.327% |
8 |
29 |
0.781% |
1.072% |
1.273% |
4 |
30 |
0.977% |
1.018% |
1.218% |
5 |
31 |
1.172% |
0.967% |
1.163% |
6 |
32 |
1.660% |
0.919% |
1.108% |
8.5 |
33 |
0.977% |
0.873% |
1.053% |
5 |
34 |
0.586% |
0.829% |
0.999% |
3 |
35 |
1.367% |
0.788% |
0.944% |
7 |
36 |
0.293% |
0.749% |
0.889% |
1.5 |
37 |
0.391% |
0.711% |
0.834% |
2 |
38 |
0.488% |
0.676% |
0.779% |
2.5 |
39 |
0.391% |
0.642% |
0.725% |
2 |
40 |
0.195% |
0.610% |
0.670% |
1 |
41 |
0.781% |
0.579% |
0.615% |
4 |
42 |
0.391% |
0.550% |
0.560% |
2 |
43 |
0.488% |
0.523% |
0.506% |
2.5 |
44 |
0.586% |
0.497% |
0.451% |
3 |
45 |
0.195% |
0.472% |
0.396% |
1 |
46 |
0.195% |
0.448% |
0.341% |
1 |
47 |
0.586% |
0.426% |
0.286% |
3 |
48 |
0.293% |
0.404% |
0.232% |
1.5 |
49 |
0.879% |
0.384% |
0.177% |
4.5 |
50 |
0.781% |
0.365% |
0.122% |
4 |
totals |
0.76074 |
0.76074 |
0.76074 |
389.5 |
Conceptual format |
Physical format |
||||
a |
49.41% |
|
9 |
14.06% |
|
b |
1.95% |
|
8 |
3.81% |
|
c |
16.80% |
|
subtotal |
17.87% |
|
f |
0.20% |
|
7 |
51.17% |
|
g |
1.95% |
|
6 |
0.00% |
|
h |
1.95% |
|
subtotal |
51.17% |
|
i |
0.00% |
|
5 |
0.20% |
|
subtotal |
72.27% |
4 |
0.98% |
|
|
d |
20.90% |
|
3 |
0.88% |
|
e |
6.84% |
|
2 |
7.42% |
|
subtotal |
27.73% |
1 |
21.09% |
|
|
j |
0.00% |
|
0 |
0.39% |