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[Citation study data: Education]
Total References, N |
1,664 |
References less than 51yrs od |
1,639 |
modal age, t* |
6 |
Umax = u(t*) |
7.33% |
mean age, µ |
10.91 |
Skew |
1.61 |
Kurtosis |
458.31 |
lower quartile age |
5 |
median age |
8 |
upper quartile age |
14 |
undated references |
0.30% |
The line of best fit is R(t) =A + B.t where
A = 0.050691967
B = -0.001255384
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.156454
b = 0.1155
c = 0.4
d = 0.02
and therefore, for this mathematical model,
mean age = 10.91
modal age = 4
theoretical age when maximum citation rate occurs, T = 4.3
. |
Line, R(t) |
Barnett curve, y(t) |
error factor |
88.57492 |
5.29023 |
Pearson's r |
0.9915 |
0.8448 |
Pearson's r² |
0.9831 |
0.7137 |
Alienation |
0.0169 |
0.2863 |
error ratio (L:C) |
16.7431 |
t |
u(t) |
y(t) |
R(t) |
actual count |
0 |
0.361% |
0.316% |
5.069% |
6 |
1 |
3.636% |
3.733% |
4.944% |
60.5 |
2 |
5.439% |
5.639% |
4.818% |
90.5 |
3 |
7.031% |
6.575% |
4.693% |
117 |
4 |
7.031% |
6.897% |
4.567% |
117 |
5 |
6.490% |
6.842% |
4.442% |
108 |
6 |
7.332% |
6.563% |
4.316% |
122 |
7 |
5.769% |
6.160% |
4.190% |
96 |
8 |
6.160% |
5.698% |
4.065% |
102.5 |
9 |
4.657% |
5.217% |
3.939% |
77.5 |
10 |
5.739% |
4.742% |
3.814% |
95.5 |
11 |
4.147% |
4.288% |
3.688% |
69 |
12 |
4.207% |
3.863% |
3.563% |
70 |
13 |
3.546% |
3.470% |
3.437% |
59 |
14 |
3.275% |
3.110% |
3.312% |
54.5 |
15 |
1.983% |
2.784% |
3.186% |
33 |
16 |
2.584% |
2.489% |
3.061% |
43 |
17 |
2.043% |
2.223% |
2.935% |
34 |
18 |
1.382% |
1.984% |
2.810% |
23 |
19 |
1.142% |
1.771% |
2.684% |
19 |
20 |
1.382% |
1.579% |
2.558% |
23 |
21 |
1.623% |
1.408% |
2.433% |
27 |
22 |
0.841% |
1.255% |
2.307% |
14 |
23 |
1.563% |
1.119% |
2.182% |
26 |
24 |
0.841% |
0.997% |
2.056% |
14 |
25 |
1.262% |
0.889% |
1.931% |
21 |
26 |
0.841% |
0.792% |
1.805% |
14 |
27 |
0.661% |
0.706% |
1.680% |
11 |
28 |
0.481% |
0.629% |
1.554% |
8 |
29 |
0.421% |
0.560% |
1.429% |
7 |
30 |
0.481% |
0.499% |
1.303% |
8 |
31 |
0.210% |
0.445% |
1.178% |
3.5 |
32 |
0.421% |
0.396% |
1.052% |
7 |
33 |
0.541% |
0.353% |
0.926% |
9 |
34 |
0.180% |
0.314% |
0.801% |
3 |
35 |
0.541% |
0.280% |
0.675% |
9 |
36 |
0.180% |
0.250% |
0.550% |
3 |
37 |
0.240% |
0.222% |
0.424% |
4 |
38 |
0.240% |
0.198% |
0.299% |
4 |
39 |
0.300% |
0.177% |
0.173% |
5 |
40 |
0.060% |
0.157% |
0.048% |
1 |
41 |
0.000% |
0.140% |
-0.078% |
0 |
42 |
0.120% |
0.125% |
-0.203% |
2 |
43 |
0.000% |
0.111% |
-0.329% |
0 |
44 |
0.180% |
0.099% |
-0.454% |
3 |
45 |
0.180% |
0.088% |
-0.580% |
3 |
46 |
0.120% |
0.079% |
-0.706% |
2 |
47 |
0.300% |
0.070% |
-0.831% |
5 |
48 |
0.060% |
0.062% |
-0.957% |
1 |
49 |
0.000% |
0.056% |
-1.082% |
0 |
50 |
0.240% |
0.050% |
-1.208% |
4 |
totals |
0.98468 |
0.98468 |
0.98468 |
1638.5 |
Conceptual format |
Physical format |
||||
a |
34.80% |
|
9 |
23.44% |
|
b |
1.80% |
|
8 |
3.00% |
|
c |
14.06% |
|
subtotal |
26.44% |
|
f |
0.00% |
|
7 |
44.11% |
|
g |
2.88% |
|
6 |
0.66% |
|
h |
1.14% |
|
subtotal |
44.77% |
|
i |
2.16% |
|
5 |
0.78% |
|
subtotal |
56.85% |
4 |
1.56% |
|
|
d |
34.98% |
|
3 |
1.11% |
|
e |
1.44% |
|
2 |
7.42% |
|
subtotal |
36.42% |
1 |
12.20% |
|
|
j |
0.24% |
|
0 |
5.71% |