# chi-square distribution

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Related to Chi-squared distribution: T distribution, Beta distribution

## chi-square distribution

(ˈkaɪˌskwɛə)
n
(Statistics) statistics a continuous single-parameter distribution derived as a special case of the gamma distribution and used esp to measure goodness of fit and to test hypotheses and obtain confidence intervals for the variance of a normally distributed variable
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anomala was well approximated by a chi-squared distribution (Fig.
In this test, the value of the statistic calculated was compared to the tabulated critical value of the chi-squared distribution (upper 5% quantile), with pxq degrees of freedom at 5% level of significance; when the calculated value is greater than the tabulated value, the null hypothesis is rejected, and it is concluded that the two groups considered in the study are not independent.
l] follows a noncentral Chi-squared distribution with noncentrality parameter [mathematical expression not reproducible].
We determine the value "ChiSquared" of [chi square] statistics (if the null hypothesis is true, then the statistics is compatible with chi-squared distribution of r-1 or of o r-k-1 degrees of freedom, when there were k parameters of distribution estimated from the sample).
If we replace the ACF with the ACF estimator we obtain test function BP (Box-Pierce) which means that the test statistic has Chi-squared distribution (Box and Pierce, 1970):
Under the null hypothesis of independence, the statistics has an asymptotic chi-squared distribution with a single degree of freedom.
1], is T-consistent and shares the weighted chi-squared distribution of [[?
The parameters set for the data collection were: T-distribution with 3 degrees of freedom, Uniform distribution in the interval of (-[1/2], [1/2]), chi-squared distribution with 2 degrees of freedom, a mean of one, and the standard deviation set as the coefficients of variation (c.

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