Criteria for the validity of Fisher's condition for balanced block designs (Q1114273)
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scientific article; zbMATH DE number 4084781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria for the validity of Fisher's condition for balanced block designs |
scientific article; zbMATH DE number 4084781 |
Statements
Criteria for the validity of Fisher's condition for balanced block designs (English)
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1988
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A block design is said to satisfy Fisher's condition if the rows of its incidence matrix are linearly independent. In this note, the results of \textit{S. Kageyama} and \textit{T. Tsuji} [ibid. 4, 155-167 (1980; Zbl 0444.62086) and J. Jap. Stat. Soc. 14, 85-88 (1984; Zbl 0549.62052)] concerning the validity of Fisher's condition for variance- and combinatorially-balanced block designs are strengthened by replacing sufficient conditions involved in them by necessary and sufficient conditions.
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combinatorial balance
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variance balance
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Fisher's condition
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incidence matrix
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0.89190495
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0.8308691
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0.82346374
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0.8207533
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0.81753045
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