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Reference study data: Education

[Citation study data: Education]


Actual Education references

Total References, N

1,664

References less than 51yrs od

1,639

modal age, t*

6

Umax = u(t*)

7.33%

mean age, µ

10.91

Skew

1.61

Kurtosis

458.31

lower quartile age

5

median age

8

upper quartile age

14

undated references

0.30%

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

88.57492

5.29023

Pearson's r

0.9915

0.8448

Pearson's r²

0.9831

0.7137

Alienation

0.0169

0.2863

error ratio (L:C)

16.7431

Education reference distributions, as a function of age

t

u(t)

y(t)

R(t)

  actual count

0

0.361%

0.316%

5.069%

6   

1

3.636%

3.733%

4.944%

60.5

2

5.439%

5.639%

4.818%

90.5

3

7.031%

6.575%

4.693%

117  

4

7.031%

6.897%

4.567%

117  

5

6.490%

6.842%

4.442%

108  

6

7.332%

6.563%

4.316%

122  

7

5.769%

6.160%

4.190%

96  

8

6.160%

5.698%

4.065%

102.5

9

4.657%

5.217%

3.939%

77.5

10

5.739%

4.742%

3.814%

95.5

11

4.147%

4.288%

3.688%

69  

12

4.207%

3.863%

3.563%

70  

13

3.546%

3.470%

3.437%

59  

14

3.275%

3.110%

3.312%

54.5

15

1.983%

2.784%

3.186%

33  

16

2.584%

2.489%

3.061%

43  

17

2.043%

2.223%

2.935%

34  

18

1.382%

1.984%

2.810%

23  

19

1.142%

1.771%

2.684%

19  

20

1.382%

1.579%

2.558%

23  

21

1.623%

1.408%

2.433%

27  

22

0.841%

1.255%

2.307%

14  

23

1.563%

1.119%

2.182%

26  

24

0.841%

0.997%

2.056%

14  

25

1.262%

0.889%

1.931%

21  

26

0.841%

0.792%

1.805%

14  

27

0.661%

0.706%

1.680%

11  

28

0.481%

0.629%

1.554%

8  

29

0.421%

0.560%

1.429%

7  

30

0.481%

0.499%

1.303%

8  

31

0.210%

0.445%

1.178%

3.5

32

0.421%

0.396%

1.052%

7  

33

0.541%

0.353%

0.926%

9  

34

0.180%

0.314%

0.801%

3  

35

0.541%

0.280%

0.675%

9  

36

0.180%

0.250%

0.550%

3  

37

0.240%

0.222%

0.424%

4  

38

0.240%

0.198%

0.299%

4  

39

0.300%

0.177%

0.173%

5  

40

0.060%

0.157%

0.048%

1  

41

0.000%

0.140%

-0.078%

0  

42

0.120%

0.125%

-0.203%

2  

43

0.000%

0.111%

-0.329%

0  

44

0.180%

0.099%

-0.454%

3  

45

0.180%

0.088%

-0.580%

3  

46

0.120%

0.079%

-0.706%

2  

47

0.300%

0.070%

-0.831%

5  

48

0.060%

0.062%

-0.957%

1  

49

0.000%

0.056%

-1.082%

0  

50

0.240%

0.050%

-1.208%

4  

totals

0.98468

0.98468

0.98468

1638.5

Breakdown by format

  Conceptual format

  Physical format

a

34.80%

9

23.44%

b

1.80%

8

3.00%

c

14.06%

subtotal

26.44%

f

0.00%

7

44.11%

g

2.88%

6

0.66%

h

1.14%

subtotal

44.77%

i

2.16%

5

0.78%

subtotal

56.85%

4

1.56%

d

34.98%

3

1.11%

e

1.44%

2

7.42%

subtotal

36.42%

1

12.20%

j

0.24%

0

5.71%


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