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Table 3 Computed probability values and their accuracy

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

   

Percentage Point from Pearson and Hartley (1972)

Probability Value from SAS/IML Macro

Absolute Differenceb

Typea

√β1

β2

For 2.5%

For 97.5%

2.5%

97.5%

For 2.5%

For 97.5%

Normal

.0

3.0

-1.9600

1.9600

.0249970

.9750020

<.00001

<.00001

I

.6

3.2

-1.5998

2.2320

.0249965

.9749989

<.00001

<.00001

II

.0

2.6

-1.9196

1.9196

.0250030

.9749970

<.00001

<.00001

IV

1.4

8.6

-1.5068

2.3801

.0249838

.9749471

.00002

.00005

VI

2.0

11.2

-1.1915

2.5545

.0250054

.9750021

.00001

<.00001

VII

.0

8.4

-1.9925

1.9925

.0249999

.9750001

<.00001

<.00001

  1. aPearson and Hartley (1972) does not have examples of types III and V
  2. bAbsolute Difference = |.025 − Probability value from SAS/IML macro |; and = |.975 − Probability value from SAS/IML macro |, respectively
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