Premium
THE ROBUSTNESS OF BINARY AND NON‐BINARY BALANCED NESTED ROW‐COLUMN DESIGNS UNDER THE UNAVAILABILITY OF BLOCKS: A COMPARISON
Author(s) -
Uddin Nizam,
Whittinghill Dexter C.
Publication year - 1995
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.1995.tb00877.x
Subject(s) - unavailability , binary number , robustness (evolution) , column (typography) , mathematics , computer science , algorithm , statistics , arithmetic , biochemistry , chemistry , geometry , connection (principal bundle) , gene
Summary In cases where both exist, the balanced, binary nested row‐column designs are known to be inferior to a class of balanced non‐binary designs. However, if it is possible for blocks of observations to become unavailable after an experiment has commenced, a binary nested row‐column design may possibly be better than a non‐binary one. This paper investigates the robustness of binary and non‐binary variance‐balanced nested row‐column designs to the unavailability of one or more blocks of observations. Robustness is measured through the C‐matrices of the designs resulting from removing blocks, using optimality criteria such as A‐, D‐, E‐ and MV‐optimality.