square distribution in a sentence

Examples

1. In some complicated settings, such as unbalanced split-plot designs, the sums-of-squares no longer have scaled chi-squared distributions.
2. Under the null hypothesis, this statistic has asymptotically the chi-squared distribution with the number of degrees of freedom equal to the rank of matrix.
3. But the numerator then has a noncentral chi-squared distribution, and consequently the quotient as a whole has a non-central F-distribution.
4. Certain assumptions must be met for the statistic to follow a chi-squared distribution, and often empirical " p "-values are computed.
5. *One can generate Student-t samples by taking the ratio of variables from the normal distribution and the square-root of chi-squared distribution.
6. An additional reason that the chi-squared distribution is widely used is that it is a member of the class of likelihood ratio tests ( LRT ).
7. Scaling a value that follows an exponential distribution by a factor of two yields a quantity that follows a chi-squared distribution with two degrees of freedom.
8. The fit of chi square distribution depends on the degrees of freedom ( df ) with good agreement with df = 1 and decreasing agreement as the df increases.
9. Equivalently, this distribution results from compounding a Gaussian distribution with a scaled-inverse-chi-squared distribution with parameters \ nu and \ sigma ^ 2.
10. The log rank statistic has a chi-squared distribution with one degree of freedom, and the p-value is calculated using the chi-squared distribution.