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ITERATIVE ANALYSIS OF GENERALIZED LATTICE DESIGNS
Author(s) -
Williams E. R.
Publication year - 1977
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.1977.tb01073.x
Subject(s) - lattice (music) , iterative method , mathematics , optimal design , square lattice , computer science , mathematical optimization , algorithm , statistics , statistical physics , physics , acoustics , ising model
Summary Generalized lattice designs are defined. They include as special cases the square and rectangular lattice designs, and the α‐designs defined by Patterson and Williams (1976). An iterative procedure is given for the combined estimation of variety effects in generalized lattice designs with optimal or near optimal efficiency factors. This procedure, together with an approximate variance matrix, enables the analysis of efficient generalized lattice designs to be carried out on mini computers.