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