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Citation study tables

[Reference study tables 9-12]

Table 9: Summary of all actual (experimental) citation distributions and Barnett curves.

Eng

His

Ant

Edu

Pol

Psy

H

SS

Total cits, N

483

986

1576

4659

413

2779

1469

9427

Cits <51yrs

467

843.5

1567

4586.5

410

2763

1310.5

9326.5

t*

7

4

4

6

2 & 5

4

4

4

Umax = u(t*)

7.87%

7.40%

10.66%

7.62%

12.59%

9.61%

7.49 %

8.33 %

mean age µ

13.32

14.95

10.13

10.33

7.84

10.06

14.37

10.11

Skew

1.38

1.11

1.29

1.80

2.81

1.62

1.20

1.74

Kurtosis

593.45

503.98

280.21

493.49

823.57

364.28

531.92

440.71

variance

148.63

144.05

52.44

69.36

74.03

59.18

146.29

63.96

Std dev.

12.19

12.00

7.24

8.33

8.60

7.69

12.10

8.00

lower q. age

5

5

4

4

3

5

5

4

median age

8

11

9

8

5.5

8

10

8

upper q. age

19

22

15

13

8

13

21

13

a =

0.108484

0.066876

0.230639

0.179525

0.22775

0.215975

0.0840567

0.23536

b =

0.0864

0.0677

0.138

0.126

0.1645

0.1363

0.0756

0.1393

c =

0.4

0.45

0.338

0.393

0.571

0.344

0.4

0.33

d =

0.001

0.05

0.006

0.015

0.01

0.025

0.015

0.01

Barnett tµ

13.32

14.95

10.13

10.33

7.84

10.06

14.37

10.11

T =

4.88

4.82

4.45

4.20

3.00

4.34

5.09

4.47

Comparison of error factors

Line R(t)

130.945

69.882

142.561

108.061

348.977

130.335

76.921

109.328

Curve y(t)

57.986

39.873

65.723

11.826

69.186

17.153

34.428

6.651

Ratio (L:C)

2.258

1.753

2.169

9.138

5.044

7.599

2.234

16.437

Table 10: Comparison of u(t), y(t), R(t) for all citation studies

Comparision of u(t) and y(t)

Comparision of u(t) and R(t)

Ratio

r

r²

Alienation

F

r

r²

Alienation

F

u&R : u&y

Eng

 0.87703

0.7692

0.23 08

163.29

 0.68455

 0.4686

0.53 14

43.21

2.30

Hist

0.84248

0.7098

0.29 02

119.83

0.69939

0.4891

0.51 09

46.92

1.76

Ant

0.91243

0.8325

0.16 75

243.58

0.79690

0.6350

0.36 50

85.26

2.18

Edu

0.98270

0.9657

0.03 43

1379.55

0.82779

0.6852

0.31 48

106.67

9.18

Pol

0.95017

0.9028

0.09 72

455.22

0.68728

0.4723

0.52 77

43.86

5.43

Psy

0.97764

0.9558

0.04 42

1059.23

0.81069

0.6572

0.34 28

93.95

7.75

H

0.89656

0.8038

0.19 62

200.76

0.75074

0.5636

0.43 64

63.29

2.22

SS

0.99102

0.9821

0.01 79

 2692.33

0.83146

0.6913

0.30 87

 109.75

17.27

Table 11: Comparison of  citation studies: mean, Skew, and Kurtosis

Values

Ranks

  Differences in Ranks

 Mean, µ

 Skew

 Kurtosis

  µ

  Sk

  Ku

µ-Sk

µ-Ku

Sk-Ku

Eng

13.317

1.380

593.452

5

3

5

2

0

-2

His

14.949

1.106

503.977

6

1

4

5

2

-3

Ant

10.134

1.290

280.208

3

2

1

1

2

1

Edu

10.331

1.804

493.486

4

5

3

-1

1

2

Pol

7.839

2.815

823.568

1

6

6

-5

-5

0

Psy

10.064

1.620

364.276

2

4

2

-2

0

2

Sum of the squares of the differences in rank:

60

34

22

Spearman's rho:

-0.7143

0.0286

0.3714

t-test value

-2.0412

0.0572

0.8001

pnu=5

< 0.10

> .20

> .20

Table 12: Comparison of total citations, curve errors, & coefficients of Alienation.

Values

Ranks

Differences in Ranks

N

error

Alienation

  N

  Err

  Al

N-Err

N-Al

 Err-Al

Eng

483

 57.986

0.23 08

2

4

5

-2

-3

-1

His

986

39.873

0.29 02

3

3

6

0

-3

-3

Ant

1,576

65.723

0.16 75

4

5

4

-1

0

1

Edu

4,659

11.826

0.03 43

6

1

1

5

5

0

Pol

413

69.186

0.09 72

1

6

3

-5

-2

3

Psy

2,779

17.153

0.04 42

5

2

2

3

3

0

Sum of the squares if the differences in rank:

64

56

20

Spearman's rho:

 -0.8286

 -0.6000

 0.4286

t-test value

 -2.9598

 -1.5000

 0.9487

pnu=5

< 0.05

ca .20

> .20

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