[Contents Page]     [Data and graph Index]    Back to my homepage

Citation study data: the social sciences

[Reference study data: social sciences]

• Actual citations
• Best line vs  good curve
  • Comparison of errors
• The ciation distributions
  • u(t) = actual count
  • y(t) = a good Barnet curve
  • R(t) = best straight line

Best line vs good curve

The line of best fit is R(t) =A + B.t where

• A =  0.052938025

• B = -0.001333207

The chosen Barnett curve is y(t) =a.(e^(-bt+d) - e^(-ct)) where

• a = 0.23536

• b = 0.1393

• c = 0.33

• d = 0.01

and therefore, for this mathematical model,

• mean age = 10.11

• modal age = 4

• theoretical age when maximum citation rate occurs, T = 4.47

Comparison of errors

.	Line, R(t)	Barnett curve, y(t)
Error factor	109.3276	6.6515
Pearson's r	0.9910	0.8315
Pearson's r²	0.9821	0.6913
Alienation	0.0179	0.3087
Error ratio	16.4366

Social Sciences citation distributions, as a function of age

Age	Distributions			actual counts
t	uSS(t)	ySS(t)	RSS(t)	Ant	Edu	Pol	Psy	total
0	0.318%	0.237%	5.294%	1	12	1	16	30.0
1	3.644%	3.761%	5.160%	72	155.5	27	89	343.5
2	6.688%	5.827%	5.027%	106	342.5	52	130	630.5
3	6.096%	6.907%	4.894%	60	329	34.7	151	574.7
4	8.327%	7.330%	4.761%	168	312	38	267	785.0
5	6.598%	7.326%	4.627%	83	266	52	221	622.0
6	7.952%	7.056%	4.494%	112	355	43.7	239	749.7
7	5.834%	6.630%	4.361%	59	281	30	180	550.0
8	6.635%	6.120%	4.227%	116	293.5	31	185	625.5
9	6.006%	5.578%	4.094%	111	257.5	23.7	174	566.2
10	5.479%	5.035%	3.961%	60	293.5	11	152	516.5
11	3.957%	4.512%	3.827%	53	207	16	97	373.0
12	4.095%	4.019%	3.694%	51	224	2	109	386.0
13	3.479%	3.564%	3.561%	77	145	6	100	328.0
14	3.071%	3.150%	3.427%	38	168.5	2	81	289.5
15	2.800%	2.775%	3.294%	105	85	2	72	264.0
16	1.920%	2.439%	3.161%	16	104	1	60	181.0
17	2.217%	2.140%	3.027%	59	99	2	49	209.0
18	1.559%	1.875%	2.894%	41	53	4	49	147.0
19	1.337%	1.641%	2.761%	31	72	2	21	126.0
20	1.071%	1.434%	2.627%	24	42	0	35	101.0
21	1.146%	1.252%	2.494%	18	57	1	32	108.0
22	0.721%	1.093%	2.361%	19	28	0	21	68.0
23	1.124%	0.953%	2.227%	13	56	0	37	106.0
24	0.456%	0.831%	2.094%	3	26	2	12	43.0
25	0.891%	0.724%	1.961%	11	42	1	30	84.0
26	0.552%	0.631%	1.827%	2	35	0	15	52.0
27	0.499%	0.550%	1.694%	7	26	0	14	47.0
28	0.891%	0.479%	1.561%	13	35	2	34	84.0
29	0.276%	0.417%	1.428%	8	9	0	9	26.0
30	0.414%	0.363%	1.294%	5	17	1	16	39.0
31	0.345%	0.316%	1.161%	5	12.5	1	14	32.5
32	0.212%	0.275%	1.028%	0	11	3	6	20.0
33	0.202%	0.239%	0.894%	2	12	0	5	19.0
34	0.095%	0.208%	0.761%	3	4	0	2	9.0
35	0.361%	0.181%	0.628%	2	14	9	9	34.0
36	0.233%	0.158%	0.494%	3	16	0	3	22.0
37	0.180%	0.137%	0.361%	1	11	0	5	17.0
38	0.212%	0.119%	0.228%	3	13	1	3	20.0
39	0.202%	0.104%	0.094%	1	16	0	2	19.0
40	0.064%	0.090%	-0.039%	0	4	0	2	6.0
41	0.011%	0.079%	-0.172%	0	0	0	1	1.0
42	0.064%	0.068%	-0.306%	0	6	0	0	6.0
43	0.021%	0.060%	-0.439%	0	0	0	2	2.0
44	0.095%	0.052%	-0.572%	1	3	0	5	9.0
45	0.053%	0.045%	-0.706%	2	3	0	0	5.0
46	0.159%	0.039%	-0.839%	0	5	8	2	15.0
47	0.085%	0.034%	-0.972%	2	6	0	0	8.0
48	0.032%	0.030%	-1.106%	0	2	0	1	3.0
49	0.011%	0.026%	-1.239%	0	0	0	1	1.0
50	0.244%	0.022%	-1.372%	0	20	0	3	23.0
totals:	0.9893	0.9893	1.0000	1567	4586	410	2763	9326.5