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Reference study data: English

[Citation study data: English]


Actual English references

Total References, N

292

References less than 51yrs old

277

modal age, t*

6

Umax = u(t*)

7.53%

mean age, µ

14.23

Skew

1.21

Kurtosis

544.85

lower quartile age

5

median age

9

upper quartile age

21

undated references

0.68%

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

95.91089

41.27748

Pearson's r

0.8867

0.7043

Pearson's r²

0.7863

0.4960

Alienation

0.2137

0.5040

error ratio (L:C)

2.3236

English reference distributions, as a function of age

t

u(t)

y(t)

R(t)

 actual count

0

0.000%

0.000%

4.171%

0

1

2.740%

2.559%

4.078%

8

2

6.164%

4.006%

3.986%

18

3

5.822%

4.756%

3.893%

17

4

5.479%

5.075%

3.801%

16

5

5.137%

5.131%

3.708%

15

6

7.534%

5.029%

3.616%

22

7

5.822%

4.836%

3.524%

17

8

6.849%

4.596%

3.431%

20

9

3.425%

4.333%

3.339%

10

10

4.110%

4.063%

3.246%

12

11

2.740%

3.797%

3.154%

8

12

2.055%

3.540%

3.062%

6

13

2.397%

3.296%

2.969%

7

14

2.397%

3.064%

2.877%

7

15

1.712%

2.847%

2.784%

5

16

1.027%

2.644%

2.692%

3

17

2.055%

2.454%

2.599%

6

18

1.027%

2.278%

2.507%

3

19

0.685%

2.113%

2.415%

2

20

1.027%

1.961%

2.322%

3

21

1.370%

1.819%

2.230%

4

22

2.740%

1.687%

2.137%

8

23

1.370%

1.565%

2.045%

4

24

0.685%

1.452%

1.952%

2

25

0.000%

1.347%

1.860%

0

26

1.712%

1.249%

1.768%

5

27

1.370%

1.159%

1.675%

4

28

0.685%

1.075%

1.583%

2

29

0.685%

0.997%

1.490%

2

30

1.370%

0.925%

1.398%

4

31

0.685%

0.858%

1.306%

2

32

0.685%

0.796%

1.213%

2

33

0.000%

0.738%

1.121%

0

34

1.027%

0.685%

1.028%

3

35

1.027%

0.635%

0.936%

3

36

0.685%

0.589%

0.843%

2

37

0.685%

0.546%

0.751%

2

38

0.342%

0.507%

0.659%

1

39

0.685%

0.470%

0.566%

2

40

0.685%

0.436%

0.474%

2

41

1.370%

0.404%

0.381%

4

42

0.342%

0.375%

0.289%

1

43

0.000%

0.348%

0.197%

0

44

0.000%

0.323%

0.104%

0

45

1.027%

0.299%

0.012%

3

46

1.370%

0.278%

-0.081%

4

47

0.685%

0.258%

-0.173%

2

48

0.685%

0.239%

-0.266%

2

49

0.000%

0.222%

-0.358%

0

50

0.685%

0.206%

-0.450%

2

totals

0.94863

0.94863

0.94863

277

Breakdown by format

  Conceptual format

  Physical format

a

69.52%

9

15.07%

b

0.34%

8

1.03%

c

9.59%

subtotal

16.10%

f

0.00%

7

63.36%

g

0.00%

6

2.05%

h

0.00%

subtotal

65.41%

i

0.00%

5

2.74%

subtotal

79.45%

4

0.00%

d

16.78%

3

0.68%

e

3.77%

2

3.77%

subtotal

20.55%

1

11.30%

j

0.00%

0

0.00%


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