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Table 2 Computed parameters and their accuracy

From: Computing and graphing probability values of pearson distributions: a SAS/IML macro

  

Value from

Value from Elderton

Absolute Differenceb

Relative Differencec

Typea

Parameter

SAS/IML Macro

and Johnson (1969)

  

I

β1

.507296

.507296

<.0001

<.01%

 

β2

2.935111

2.935110

<.0001

<.01%

 

κ

-.264690

-.264500

.0002

.07%

 

r

5.186821

5.186811

<.0001

<.01%

 

α1

1.977543

1.996380

.0188

.94%

 

α2

13.508428

13.527280

.0189

.14%

 

m1

.406954

.409833

.0029

.70%

 

m1

2.779867

2.776878

.0030

.12%

IV

β1

.005366

.005366

<.0001

<.01%

 

β2

3.172912

3.172912

<.0001

<.01%

 

κ

.012230

.012800

.0006

4.46%

 

r

39.442562

39.442540

<.0001

<.01%

 

v

4.388796

4.388794

<.0001

<.01%

 

α

13.111988

13.111980

<.0001

<.01%

 

m

20.721280

20.721270

<.0001

<.01%

VI

β1

.995360

.995361

<.0001

<.01%

 

β2

4.739349

4.739349

<.0001

<.01%

 

κ

1.894437

1.895000

.0006

.03%

 

r

-33.421430

-33.421290

.0001

<.01%

 

q1

42.030520

42.030800

.0003

<.01%

 

q2

6.609095

6.609500

.0004

<.01%

 

α

10.379832

10.379470

.0004

<.01%

  1. aElderton and Johnson (1969) does not have the other types of Pearson distributions
  2. bAbsolute Difference = |Value from Elderton and Johnson (1969) − Value from SAS/IML Macro |
  3. cRelative Difference = |(Value from Elderton and Johnson (1969) − Value from SAS/IML Macro)/Value from Elderton and Johnson (1969) |×100%
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