The Ratio of Variances in a Variance Components Model
Thompson, W. A.
Ann. Math. Statist., Tome 26 (1955) no. 4, p. 325-329 / Harvested from Project Euclid
Our discussion will concern primarily $\lambda$, the ratio of two variances which arise in discussing the "mixed" incomplete block model. In Section 1 we find first the class of invariant statistics for a test involving this ratio and second the joint distribution of these statistics. In Section 2 we use these statistics to construct a test (with certain optimum properties) of the hypothesis $\lambda < \lambda_0$ versus $\lambda > \lambda_1$.
Publié le : 1955-06-14
Classification: 
@article{1177728550,
     author = {Thompson, W. A.},
     title = {The Ratio of Variances in a Variance Components Model},
     journal = {Ann. Math. Statist.},
     volume = {26},
     number = {4},
     year = {1955},
     pages = { 325-329},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177728550}
}
Thompson, W. A. The Ratio of Variances in a Variance Components Model. Ann. Math. Statist., Tome 26 (1955) no. 4, pp.  325-329. http://gdmltest.u-ga.fr/item/1177728550/