Description Usage Arguments Details Author(s) References See Also

Q1 is a measure of skewness and Q2 is a measure of tail heaviness.

1 | ```
Q1(z)
``` |

`z` |
n by 1 vector |

Used as selector statistics in adaptive schemes. Both Q1 and Q2 are ratios. For Q1, the numerator is upper 5% mean minus the middle 50% mean, while the denominator is difference between the middle 5% mean and the lower 5% mean. For Q2, the numerator is upper 5% mean minus the lower 5% mean, while the denominator is difference between the upper 50% mean and the lower 50% mean. These statistics are not robust.

John Kloke <kloke@biostat.wisc.edu>

Hogg, R. McKean, J, Craig, A (2013) *Introduction to Mathematical Statistics, 7th Ed.* Boston: Pearson.

`hogg.test`

, ~~~

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