Abstract
It is shown that the fourth root of a chi-squared distributed random variable has a distribution that is very close to normal for all degrees of freedom. The parameters of the approximating normal distribution are given exactly in terms of the gamma function, and a simpler approximation involving only square and fourth roots of functions of the number of degrees of freedom is also given. © 1986 American Statistical Association.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 296-298 |
| Number of pages | 3 |
| Journal | American Statistician |
| Volume | 40 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1986 |
Keywords
- Box-Cox transformation
- Chi-squared distribution
- Normal distribution