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Reference study data: History

[Citation study data: History]


Actual History references

Total References, N

512

References less than 51yrs old

390

modal age, t*

4

Umax= u(t*)

3.91%

mean age, µ

17.04

Skew

0.80

Kurtosis

438.15

lower quartile age

7

median age

14

upper quartile age

26

undated references

8.98%

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

26.55907

14.87390

Pearson's r

0.7071

0.3251

Pearson's r²

0.5000

0.1057

Alienation

0.5000

0.8943

error ratio (L:C)

1.7856

History reference distributions, as a function of age

t

u(t)

y(t)

R(t)

  actual count

0

0.391%

0.452%

2.861%

2

1

1.172%

1.765%

2.806%

6

2

3.418%

2.530%

2.752%

17.5

3

3.613%

2.949%

2.697%

18.5

4

3.906%

3.150%

2.642%

20

5

2.539%

3.215%

2.587%

13

6

2.930%

3.196%

2.533%

15

7

3.516%

3.127%

2.478%

18

8

3.320%

3.029%

2.423%

17

9

2.539%

2.915%

2.368%

13

10

3.809%

2.793%

2.313%

19.5

11

1.953%

2.668%

2.259%

10

12

2.344%

2.544%

2.204%

12

13

1.953%

2.423%

2.149%

10

14

1.367%

2.306%

2.094%

7

15

3.027%

2.193%

2.039%

15.5

16

2.441%

2.085%

1.985%

12.5

17

2.051%

1.982%

1.930%

10.5

18

1.042%

1.883%

1.875%

5.3

19

0.391%

1.790%

1.820%

2

20

0.846%

1.700%

1.766%

4.3

21

2.018%

1.616%

1.711%

10.3

22

0.977%

1.535%

1.656%

5

23

2.148%

1.458%

1.601%

11

24

1.953%

1.385%

1.546%

10

25

0.977%

1.316%

1.492%

5

26

2.246%

1.250%

1.437%

11.5

27

1.172%

1.188%

1.382%

6

28

1.563%

1.128%

1.327%

8

29

0.781%

1.072%

1.273%

4

30

0.977%

1.018%

1.218%

5

31

1.172%

0.967%

1.163%

6

32

1.660%

0.919%

1.108%

8.5

33

0.977%

0.873%

1.053%

5

34

0.586%

0.829%

0.999%

3

35

1.367%

0.788%

0.944%

7

36

0.293%

0.749%

0.889%

1.5

37

0.391%

0.711%

0.834%

2

38

0.488%

0.676%

0.779%

2.5

39

0.391%

0.642%

0.725%

2

40

0.195%

0.610%

0.670%

1

41

0.781%

0.579%

0.615%

4

42

0.391%

0.550%

0.560%

2

43

0.488%

0.523%

0.506%

2.5

44

0.586%

0.497%

0.451%

3

45

0.195%

0.472%

0.396%

1

46

0.195%

0.448%

0.341%

1

47

0.586%

0.426%

0.286%

3

48

0.293%

0.404%

0.232%

1.5

49

0.879%

0.384%

0.177%

4.5

50

0.781%

0.365%

0.122%

4

totals

0.76074

0.76074

0.76074

389.5

Breakdown by format

  Conceptual format

  Physical format

a

49.41%

9

14.06%

b

1.95%

8

3.81%

c

16.80%

subtotal

17.87%

f

0.20%

7

51.17%

g

1.95%

6

0.00%

h

1.95%

subtotal

51.17%

i

0.00%

5

0.20%

subtotal

72.27%

4

0.98%

d

20.90%

3

0.88%

e

6.84%

2

7.42%

subtotal

27.73%

1

21.09%

j

0.00%

0

0.39%


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