| Abstract: | This study, using the method described by Hartley and Rao [10], derives confidence regions for the ratios of variances in random model. Each region is compared with a confidence region derived by Wald [22]. We derived confidence regions for the ratios of components of variance for the balanced one-way classification, balanced nested classification, balanced two-way classification mixed model without interaction, balanced two-way classification Model II without interaction and balanced incomplete block design. A full agreement was obtained between Hartley and Rao's [10] procedure, Wald's [22] procedure and the analysis of variance procedure for the one-way classification, nested classification and two-way classification mixed model without interaction. Wald's [22] confidence region was identical to the analysis of variance procedure for two-way classification Model II without interaction and the balanced incomplete block design. |
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