Consider the linear combination Are independent chi-square random variables with degrees of freedom f i . Satterthwaite XXXXXXXXXXapproximates the distribution of Z2 by that of cχ 2 f . These results...




Consider the linear combination



Are independent chi-square random variables with degrees of freedom fi. Satterthwaite (1946) approximates the distribution of Z2 by that of cχ2
f.


These results can be related to Satterthwaite’s approximation in equation 18.17 by appropriate definitions of ϵi
and substitution of observed mean squares for unknown variances.






May 13, 2022
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