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- W4241617237 abstract "When testing an affine hypothesis in an exponential family the ‘ideal’ procedure is to calculate the exact similar test, or an approximation to this, based on the conditional distribution given the minimal sufficient statistic under the null hypothesis. By contrast to this there is a ‘primitive’ approach in which the marginal distribution of a test statistic considered and any nuisance parameter appearing in the test statistic is replaced by an estimate. We show here that when using standardized likelihood ratio statistics the ‘primitive’ procedure is in fact an ‘ideal‘ procedure to order O(n−3/2). As an example we consider inference for the mean of a log normal distribution in detail." @default.
- W4241617237 created "2022-05-12" @default.
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- W4241617237 date "1986-12-01" @default.
- W4241617237 modified "2023-10-01" @default.
- W4241617237 title "Similar Tests and the Standardized Log Likelihood Ratio Statistic" @default.
- W4241617237 doi "https://doi.org/10.2307/2336520" @default.
- W4241617237 hasPublicationYear "1986" @default.
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