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- W2083405360 abstract "Abstract It is shown that several orderings of linear models and linear normal models coincide, when the covariances are known, with the usual ordering of linear normal models. This applies to ordering by: variances of best linear estimators, Hellinger transforms, affinities, Fisher information matrices, testing problems, pairwise comparison, and factorization into independent linear normal models. If the variances are unknown then, by Stepniak and Torgersen (1981), the problem of comparison of linear models by variances of best linear unbiased estimators may be expressed in terms of the same problem for known covariances. Most of the criteria reduce, in this case, however, to necessary but not sufficient conditions. An exception is the factorization criterion which prevails when the covariances are known up to a common unknown multiplicative factor." @default.
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- W2083405360 date "1984-01-01" @default.
- W2083405360 modified "2023-09-23" @default.
- W2083405360 title "Orderings of linear models" @default.
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- W2083405360 doi "https://doi.org/10.1016/0378-3758(84)90040-5" @default.
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