Inference about comparative precision in linear structural relationships (Q579804)
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scientific article; zbMATH DE number 4015958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inference about comparative precision in linear structural relationships |
scientific article; zbMATH DE number 4015958 |
Statements
Inference about comparative precision in linear structural relationships (English)
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1986
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We study point and confidence region estimators of the precisions of instruments, and of the ratios of such precisions to the precision of a standard instrument, in situations where a nonreplicated linear structural model describes the measurements simultaneously obtained from several instruments. Some drawbacks of maximum likelihood estimators of the precision ratios are noted. A union-intersection test for the null hypothesis \(H_ 0\) that the standard instrument is at least as precise as the other instruments is proposed for situations where the relative precision of the standard instrument is known.
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comparative calibration
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confidence regions
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large sample theory
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linear structural relationships
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multiple comparison to a standard
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relative precision
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precisions of instruments
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nonreplicated linear structural model
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maximum likelihood estimators of the precision ratios
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union- intersection test
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