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Citation study data: English

[Reference study data: English]


Actual English citations

Total citations, N

483

Citations less than 51yrs old

467

modal age, t*

7

Umax = u(t*)

7.87%

mean age, µ

13.32

Skew

1.38

Kurtosis

593.45

lower quartile age

5

median age

8

upper quartile age

19

undated citations

0.62%

Best line vs good curve

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

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

and therefore, for this mathematical model,

Comparison of errors

.

 Line,  R(t)

 Barnett curve,  y(t)

error factor

130.9455

57.9855

Pearson's r

0.8770

0.6846

Pearson's r²

0.7692

0.4686

Alienation

0.2308

0.5314

error ratio (L:C)

2.2582

English ciation distributions, as a function of age

t

u(t)

y(t)

R(t)

actual count

0

0.000%

0.011%

4.452%

0

1

2.070%

2.689%

4.349%

10

2

6.625%

4.261%

4.247%

32

3

7.660%

5.112%

4.145%

37

4

7.660%

5.496%

4.043%

37

5

5.176%

5.582%

3.940%

25

6

7.246%

5.482%

3.838%

35

7

7.867%

5.271%

3.736%

38

8

5.590%

4.998%

3.634%

27

9

3.520%

4.693%

3.531%

17

10

3.934%

4.378%

3.429%

19

11

3.520%

4.065%

3.327%

17

12

1.242%

3.761%

3.225%

6

13

2.277%

3.472%

3.123%

11

14

1.863%

3.199%

3.020%

9

15

1.035%

2.944%

2.918%

5

16

1.449%

2.707%

2.816%

7

17

2.692%

2.488%

2.714%

13

18

0.828%

2.285%

2.611%

4

19

0.621%

2.098%

2.509%

3

20

1.035%

1.925%

2.407%

5

21

1.863%

1.767%

2.305%

9

22

2.277%

1.621%

2.203%

11

23

2.070%

1.487%

2.100%

10

24

0.414%

1.365%

1.998%

2

25

0.000%

1.252%

1.896%

0

26

1.035%

1.148%

1.794%

5

27

1.656%

1.053%

1.691%

8

28

1.035%

0.966%

1.589%

5

29

0.621%

0.886%

1.487%

3

30

1.035%

0.813%

1.385%

5

31

0.828%

0.746%

1.282%

4

32

0.414%

0.684%

1.180%

2

33

0.000%

0.627%

1.078%

0

34

0.828%

0.575%

0.976%

4

35

0.621%

0.528%

0.874%

3

36

0.414%

0.484%

0.771%

2

37

0.414%

0.444%

0.669%

2

38

0.207%

0.407%

0.567%

1

39

0.414%

0.374%

0.465%

2

40

0.414%

0.343%

0.362%

2

41

1.242%

0.314%

0.260%

6

42

0.621%

0.288%

0.158%

3

43

0.000%

0.264%

0.056%

0

44

0.000%

0.243%

-0.046%

0

45

0.828%

0.222%

-0.149%

4

46

1.242%

0.204%

-0.251%

6

47

0.414%

0.187%

-0.353%

2

48

1.449%

0.172%

-0.455%

7

49

0.000%

0.157%

-0.558%

0

50

0.414%

0.144%

-0.660%

2

totals

0.96687

0.96687

0.96687

467

Breakdown by format

Conceptual format

  Physical format

a

65.22%

9

16.98%

b

0.62%

8

1.66%

c

9.32%

subtotal

18.63%

f

0.00%

7

62.94%

g

0.00%

6

1.24%

h

0.00%

subtotal

64.18%

i

0.00%

5

1.86%

subtotal

75.16%

4

0.00%

d

20.29%

3

1.86%

e

4.55%

2

4.35%

subtotal

24.84%

1

9.11%

j

0.00%

0

0.00%


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