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[Reference study data: Education]
|
Total citations, N |
4,659 |
|
Citations less than 51yrs old |
4,587 |
|
modal age, t* |
6 |
|
Umax = u(t*) |
7.62% |
|
mean age, µ |
10.33 |
|
Skew |
1.80 |
|
Kurtosis |
493.49 |
|
lower quartile age |
4 |
|
median age |
8 |
|
upper quartile age |
13 |
|
undated citations |
0.11% |
The line of best fit is R(t) =A + B.t where
A = 0.05197388
B = -0.001306846
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.179525
b = 0.126
c = 0.393
d = 0.015
and therefore, for this mathematical model,
mean age = 10.33
modal age = 4
theoretical age when maximum citation rate occurs, T = 4.20
|
. |
Line, R(t) |
Barnett curve, y(t) |
|
error factor |
108.0608 |
11.8259 |
|
Pearson's r |
0.9827 |
0.8278 |
|
Pearson's r² |
0.9657 |
0.6852 |
|
Alienation |
0.0343 |
0.3148 |
|
error ratio (L:C) |
9.1377 |
|
|
t |
u(t) |
y(t) |
R(t) |
actual count |
|
0 |
0.258% |
0.271% |
5.197% |
12 |
|
1 |
3.338% |
3.948% |
5.067% |
155.5 |
|
2 |
7.351% |
5.984% |
4.936% |
342.5 |
|
3 |
7.062% |
6.966% |
4.805% |
329 |
|
4 |
6.697% |
7.282% |
4.675% |
312 |
|
5 |
5.709% |
7.190% |
4.544% |
266 |
|
6 |
7.620% |
6.858% |
4.413% |
355 |
|
7 |
6.031% |
6.397% |
4.283% |
281 |
|
8 |
6.300% |
5.877% |
4.152% |
293.5 |
|
9 |
5.527% |
5.341% |
4.021% |
257.5 |
|
10 |
6.300% |
4.817% |
3.891% |
293.5 |
|
11 |
4.443% |
4.319% |
3.760% |
207 |
|
12 |
4.808% |
3.857% |
3.629% |
224 |
|
13 |
3.112% |
3.434% |
3.498% |
145 |
|
14 |
3.617% |
3.050% |
3.368% |
168.5 |
|
15 |
1.824% |
2.704% |
3.237% |
85 |
|
16 |
2.232% |
2.394% |
3.106% |
104 |
|
17 |
2.125% |
2.117% |
2.976% |
99 |
|
18 |
1.138% |
1.871% |
2.845% |
53 |
|
19 |
1.545% |
1.653% |
2.714% |
72 |
|
20 |
0.901% |
1.459% |
2.584% |
42 |
|
21 |
1.223% |
1.288% |
2.453% |
57 |
|
22 |
0.601% |
1.137% |
2.322% |
28 |
|
23 |
1.202% |
1.003% |
2.192% |
56 |
|
24 |
0.558% |
0.884% |
2.061% |
26 |
|
25 |
0.901% |
0.780% |
1.930% |
42 |
|
26 |
0.751% |
0.688% |
1.800% |
35 |
|
27 |
0.558% |
0.607% |
1.669% |
26 |
|
28 |
0.751% |
0.535% |
1.538% |
35 |
|
29 |
0.193% |
0.472% |
1.408% |
9 |
|
30 |
0.365% |
0.416% |
1.277% |
17 |
|
31 |
0.268% |
0.367% |
1.146% |
12.5 |
|
32 |
0.236% |
0.323% |
1.015% |
11 |
|
33 |
0.258% |
0.285% |
0.885% |
12 |
|
34 |
0.086% |
0.251% |
0.754% |
4 |
|
35 |
0.300% |
0.221% |
0.623% |
14 |
|
36 |
0.343% |
0.195% |
0.493% |
16 |
|
37 |
0.236% |
0.172% |
0.362% |
11 |
|
38 |
0.279% |
0.152% |
0.231% |
13 |
|
39 |
0.343% |
0.134% |
0.101% |
16 |
|
40 |
0.086% |
0.118% |
-0.030% |
4 |
|
41 |
0.000% |
0.104% |
-0.161% |
0 |
|
42 |
0.129% |
0.092% |
-0.291% |
6 |
|
43 |
0.000% |
0.081% |
-0.422% |
0 |
|
44 |
0.064% |
0.071% |
-0.553% |
3 |
|
45 |
0.064% |
0.063% |
-0.683% |
3 |
|
46 |
0.107% |
0.055% |
-0.814% |
5 |
|
47 |
0.129% |
0.049% |
-0.945% |
6 |
|
48 |
0.043% |
0.043% |
-1.075% |
2 |
|
49 |
0.000% |
0.038% |
-1.206% |
0 |
|
50 |
0.429% |
0.033% |
-1.337% |
20 |
|
totals |
0.98444 |
0.98444 |
0.98444 |
4586.5 |
|
Conceptual format |
Physical format |
||||
|
a |
34.04% |
|
9 |
23.57% |
|
|
b |
1.57% |
|
8 |
3.00% |
|
|
c |
16.66% |
|
subtotal |
26.57% |
|
|
f |
0.00% |
|
7 |
48.70% |
|
|
g |
3.78% |
|
6 |
0.64% |
|
|
h |
1.61% |
|
subtotal |
49.35% |
|
|
i |
2.96% |
|
5 |
1.03% |
|
|
subtotal |
60.61% |
4 |
1.35% |
|
|
|
d |
33.98% |
|
3 |
0.93% |
|
|
e |
1.12% |
|
2 |
6.32% |
|
|
subtotal |
35.09% |
1 |
11.16% |
|
|
|
j |
0.13% |
|
0 |
3.28% |
|