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Fractional Plans to Estimate Main Effects and Two Factor Interactions Inclusive of a Specific Factor
Author(s) -
Damaraju Lakshmi,
Raghavarao Damaraju
Publication year - 2002
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200209)44:6<780::aid-bimj780>3.0.co;2-a
Subject(s) - fractional factorial design , hadamard transform , mathematics , hadamard matrix , block (permutation group theory) , factor (programming language) , factorial , matrix (chemical analysis) , factorial experiment , block design , combinatorics , statistics , computer science , mathematical analysis , materials science , composite material , programming language
Balanced incomplete block designs are used to construct non‐geometric 2 n fractional factorial plans to estimate all n main effects and n – 1, 2 factor interactions with a specific factor included in each interaction. When the balanced incomplete block design is of Family (A), the resulting fractional factorial plan has the same number of runs as a fold‐over Hadamard matrix giving same variances for the estimates; however, some new designs are shown to be non‐isomorphic to the fold‐over Hadamard matrix plans.