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ADJUSTED ORTHOGONAL NESTED ROW‐COLUMN DESIGNS
Author(s) -
Eccleston J.A.,
John J.A.
Publication year - 1988
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1988.tb00613.x
Subject(s) - orthogonality , column (typography) , row and column spaces , mathematics , orthogonal array , component (thermodynamics) , combinatorics , row , algorithm , computer science , statistics , geometry , connection (principal bundle) , physics , database , taguchi methods , thermodynamics
Summary Adjusted orthogonality in nested row‐column designs is defined and a sufficient condition established for its existence. It is shown that the properties of an adjusted orthogonal nested row‐column design are directly related to those of its separate row and column component designs. A method for constructing efficient adjusted orthogonal designs involving a single replicate of every treatment in each of two blocks is given.