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[Citation study data: social sciences]
|
Total References, N |
3,552 |
|
References under 51yrs old |
3501.5 |
|
modal age, [t*]SS |
6 |
|
Umax,SS |
7.31% |
|
µSS |
10.95 |
|
Skew |
1.53 |
|
Kurtosis |
417.79 |
|
lower quartile age |
4 |
|
median age |
8 |
|
upper quartile age |
13 |
The line of best fit is R(t) =A + B.t where
A = 0.05094001
B = -0.001253287
The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where
a = 0.193018
b = 0.1237
c = 0.33
d = 0.01
and therefore, for this mathematical model,
mean age = 10.95
modal age = 4
theoretical age when maximum citation rate occurs, T = 4.71
|
. |
Line, R(t) |
Barnett curve, y(t) |
|
Error factor |
81.4767 |
2.8130 |
|
Pearson's r |
0.9953 |
0.8546 |
|
Pearson's r² |
0.9907 |
0.7304 |
|
Alienation |
0.0093 |
0.2696 |
|
Error ratio (L:C) |
28.9647 |
|
|
Age |
Distributions |
Actual counts |
||||||
|
t |
uSS(t) |
ySS(t) |
RSS(t) |
Ant |
Edu |
Pol |
Psy |
total |
|
0 |
0.366% |
0.194% |
5.094% |
1 |
6 |
1 |
5 |
13 |
|
1 |
3.758% |
3.351% |
4.969% |
20 |
60.5 |
15 |
38 |
133.5 |
|
2 |
5.363% |
5.247% |
4.843% |
26 |
90.5 |
31 |
43 |
190.5 |
|
3 |
6.100% |
6.280% |
4.718% |
25 |
117 |
21.7 |
53 |
216.7 |
|
4 |
7.066% |
6.730% |
4.593% |
26 |
117 |
23 |
85 |
251 |
|
5 |
6.475% |
6.796% |
4.467% |
26 |
108 |
21 |
75 |
230 |
|
6 |
7.310% |
6.616% |
4.342% |
28 |
122 |
28.7 |
81 |
259.7 |
|
7 |
6.025% |
6.285% |
4.217% |
25 |
96 |
16 |
77 |
214 |
|
8 |
6.123% |
5.870% |
4.091% |
27 |
102.5 |
14 |
74 |
217.5 |
|
9 |
5.100% |
5.414% |
3.966% |
24 |
77.5 |
10.7 |
69 |
181.2 |
|
10 |
5.448% |
4.947% |
3.841% |
20 |
95.5 |
9 |
69 |
193.5 |
|
11 |
4.364% |
4.488% |
3.715% |
20 |
69 |
12 |
54 |
155 |
|
12 |
3.998% |
4.051% |
3.590% |
16 |
70 |
1 |
55 |
142 |
|
13 |
3.181% |
3.640% |
3.465% |
10 |
59 |
2 |
42 |
113 |
|
14 |
3.308% |
3.260% |
3.339% |
16 |
54.5 |
1 |
46 |
117.5 |
|
15 |
2.393% |
2.912% |
3.214% |
13 |
33 |
1 |
38 |
85 |
|
16 |
2.449% |
2.596% |
3.089% |
6 |
43 |
1 |
37 |
87 |
|
17 |
2.140% |
2.310% |
2.963% |
14 |
34 |
2 |
26 |
76 |
|
18 |
1.886% |
2.053% |
2.838% |
14 |
23 |
2 |
28 |
67 |
|
19 |
1.323% |
1.822% |
2.713% |
11 |
19 |
2 |
15 |
47 |
|
20 |
1.436% |
1.616% |
2.587% |
7 |
23 |
0 |
21 |
51 |
|
21 |
1.464% |
1.432% |
2.462% |
6 |
27 |
1 |
18 |
52 |
|
22 |
1.042% |
1.269% |
2.337% |
11 |
14 |
0 |
12 |
37 |
|
23 |
1.520% |
1.124% |
2.211% |
5 |
26 |
0 |
23 |
54 |
|
24 |
0.816% |
0.994% |
2.086% |
3 |
14 |
2 |
10 |
29 |
|
25 |
1.182% |
0.880% |
1.961% |
3 |
21 |
1 |
17 |
42 |
|
26 |
0.732% |
0.778% |
1.835% |
1 |
14 |
0 |
11 |
26 |
|
27 |
0.760% |
0.688% |
1.710% |
5 |
11 |
0 |
11 |
27 |
|
28 |
0.732% |
0.609% |
1.585% |
6 |
8 |
1 |
11 |
26 |
|
29 |
0.394% |
0.538% |
1.459% |
2 |
7 |
0 |
5 |
14 |
|
30 |
0.591% |
0.476% |
1.334% |
3 |
8 |
1 |
9 |
21 |
|
31 |
0.352% |
0.421% |
1.209% |
2 |
3.5 |
1 |
6 |
12.5 |
|
32 |
0.338% |
0.372% |
1.083% |
0 |
7 |
1 |
4 |
12 |
|
33 |
0.394% |
0.329% |
0.958% |
2 |
9 |
0 |
3 |
14 |
|
34 |
0.197% |
0.290% |
0.833% |
2 |
3 |
0 |
2 |
7 |
|
35 |
0.479% |
0.257% |
0.707% |
1 |
9 |
2 |
5 |
17 |
|
36 |
0.225% |
0.227% |
0.582% |
2 |
3 |
0 |
3 |
8 |
|
37 |
0.225% |
0.200% |
0.457% |
1 |
4 |
0 |
3 |
8 |
|
38 |
0.197% |
0.177% |
0.332% |
1 |
4 |
1 |
1 |
7 |
|
39 |
0.225% |
0.157% |
0.206% |
1 |
5 |
0 |
2 |
8 |
|
40 |
0.084% |
0.138% |
0.081% |
0 |
1 |
0 |
2 |
3 |
|
41 |
0.028% |
0.122% |
-0.044% |
0 |
0 |
0 |
1 |
1 |
|
42 |
0.056% |
0.108% |
-0.170% |
0 |
2 |
0 |
0 |
2 |
|
43 |
0.056% |
0.095% |
-0.295% |
0 |
0 |
0 |
2 |
2 |
|
44 |
0.225% |
0.084% |
-0.420% |
1 |
3 |
0 |
4 |
8 |
|
45 |
0.113% |
0.075% |
-0.546% |
1 |
3 |
0 |
0 |
4 |
|
46 |
0.113% |
0.066% |
-0.671% |
0 |
2 |
1 |
1 |
4 |
|
47 |
0.169% |
0.058% |
-0.796% |
1 |
5 |
0 |
0 |
6 |
|
48 |
0.056% |
0.051% |
-0.922% |
0 |
1 |
0 |
1 |
2 |
|
49 |
0.028% |
0.045% |
-1.047% |
0 |
0 |
0 |
1 |
1 |
|
50 |
0.169% |
0.040% |
-1.172% |
0 |
4 |
0 |
2 |
6 |
|
totals: |
98.58% |
98.58% |
100.0% |
435 |
1638.5 |
227 |
1201 |
3501.5 |