Balanced block designs robust against the loss of a single observation (Q1118953)
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scientific article; zbMATH DE number 4096620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Balanced block designs robust against the loss of a single observation |
scientific article; zbMATH DE number 4096620 |
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Balanced block designs robust against the loss of a single observation (English)
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1989
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An experiment based on a balanced block design (BBD) is usually no longer balanced if one or more observations are unavailable. This paper investigates the problem of finding a BBD which is most robust against the lack of balance induced by the loss of a single observation. Competing BBDs have the same number of treatments and observations, but different block sizes. Robustness of a BBD is measured through the non- zero eigenvalues of the C-matrix of the design which is missing the observation, either with the variability of those eigenvalues or with an A-optimality efficiency factor. Guidelines for finding the most robust design are given.
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eigenvalue variability
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balanced block design
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lack of balance
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loss of a single observation
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Robustness
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non-zero eigenvalues of the C-matrix
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A- optimality efficiency factor
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