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Reference study tables

[Citation study tables]


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

Eng

His

Ant

Edu

Pol

Psy

H

SS

Total Refs, N

292

512

444

1664

230

1214

682

3552

Refs <51yrs

277

389.5

435

1638.5

227

1201

666.5

3501.5

modal age, t*

6

4

6

6

2

4

6

6

Umax = u(t*)

7.53%

3.91%

6.31%

7.33%

13.48%

7.00%

5.43 %

7.31 %

mean age, µ

14.23

17.04

11.29

10.91

7.11

11.61

15.88

10.95

Skew

1.21

0.80

1.25

1.61

2.73

1.40

0.96

1.53

Kurtosis

544.85

438.15

333.47

458.31

562.36

378.79

474.10

417.79

variance

158.09

158.51

72.59

76.84

47.13

71.48

160.25

73.67

Std dev.

12.57

12.59

8.52

8.77

6.86

8.45

12.66

8.58

lower q. age

5

7

5

5

3

5

6

4

median age

9

14

9

8

5

8

11

8

upper q. age

21

26

16

14

8

13

24

13

a =

0.0882741

0.04294

0.14397

0.156454

0.273279

0.155873

0.075496

0.193018

b =

0.0752

0.0513

0.1094

0.1155

0.1874

0.1103

0.0629

0.1237

c =

0.45

0.448

0.41

0.4

0.571

0.344

0.4

0.33

d =

0

0.1

0.017

0.02

0.01

0.025

0.015

0.01

Barnett tµ

14.23

17.04

11.29

10.91

7.11

11.61

15.88

10.95

T =

4.77

5.21

4.34

4.30

3.00

4.76

5.44

4.71

Comparison of error factors

Line R(t)

95.911

26.559

66.799

88.575

334.864

78.262

51.998

81.477

Curve y(t)

41.277

14.874

11.995

5.290

51.732

9.046

22.918

2.813

Ratio (L:C)

2.324

1.786

5.569

16.743

6.473

8.651

2.269

28.965

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

Comparision of u(t) and y(t)

Comparision of u(t) and R(t)

Ratio

r

Alienation

F

r

Alienation

F

u&R : u&y

Eng

0.88672

0.7863

0.21 37

180.26

0.70426

0.4960

0.50 40

48.22

2.36

His

0.70709

0.5000

0.50 00

48.99

0.32514

0.1057

0.89 43

5.79

1.79

Ant

0.97828

0.9570

0.04 30

1091.54

0.86998

0.7569

0.24 31

152.54

5.66

Edu

0.99150

0.9831

0.01 69

2844.39

0.84479

0.7137

0.28 63

122.13

16.91

Pol

0.96157

0.9246

0.07 54

600.95

0.70439

0.4962

0.50 38

48.25

6.68

Psy

0.98409

0.9684

0.03 16

1502.87

0.85198

0.7259

0.27 41

129.75

8.68

H

0.92913

0.8633

0.13 67

309.41

0.83111

0.6907

0.30 93

109.44

2.26

SS

0.99533

0.9907

0.00 93

5213.79

0.85461

0.7304

0.26 96

132.73

28.96

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

Values

Ranks

Differences in Ranks

mean

Skew

Kurtosis

µ

Sk

Ku

µ-Sk

µ-Ku

Sk-Ku

Eng

14.235

1.215

544.853

5

2

5

3

0

-3

His

17.043

0.801

438.154

6

1

3

5

3

-2

Ant

11.292

1.252

333.465

4

3

1

1

3

2

Edu

10.912

1.613

458.313

2

5

4

-3

-2

1

Pol

7.106

2.732

562.357

1

6

6

-5

-5

0

Psy

11.609

1.404

378.792

3

4

2

-1

1

2

Sum of the squares of the differences in rank:

70

48

22

Spearman's rho:

-1.0000

-0.3714

0.3714

t-test value

#DIV/0!

-0.8001

0.8001

pnu=5

< 0.001

> .20

> .20

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

Values

Ranks

Differences in Ranks

N

error

Alienation

N

Err

Coeft.Al

N-Err

N-C.Al

Err-C.Al

Eng

292

41.277

0.21 37

2

5

5

-3

-3

0

His

512

14.874

0.50 00

4

4

6

0

-2

-2

Ant

444

11.995

0.04 30

3

3

3

0

0

0

Edu

1,664

5.290

0.01 69

6

1

1

5

5

0

Pol

230

 51.732

0.07 54

1

6

4

-5

-3

2

Psy

1,214

9.046

0.03 16

5

2

2

3

3

0

Sum of the squares if the differences in rank:

68

56

8

Spearman's rho:

-0.9429

-0.6000

0.7714

t-test value

-5.6595

 -1.5000

2.4247

pnu=5

ca  .001

ca .20

> .20


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