Table 3.
Computed probability values and their accuracy
| 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 |
aPearson and Hartley (1972) does not have examples of types III and V
bAbsolute Difference = |.025 − Probability value from SAS/IML macro |; and = |.975 − Probability value from SAS/IML macro |, respectively