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Four Factor Balanced Optimal Designs of Resolution V in Terms of a Modified Trace Criterion
Author(s) -
Nigam A. K.,
Gupta V. K.,
Bora A. C.
Publication year - 1982
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/bimj.4710240417
Subject(s) - mathematics , trace (psycholinguistics) , fractional factorial design , factorial experiment , optimal design , minimisation (clinical trials) , optimality criterion , statistics , variance (accounting) , philosophy , linguistics , accounting , business
Balanced optimal two level fractional factorial designs of resolution V have been reported in series of papers by S RIVASTAVA and C HOPRA (1971a, 1971b, 1974) and C HOPRA and S RIVASTAVA (1973a, 1973b). The optimality criterion considered by them is the trace optimality which implies minimisation of the average variance of the estimated effects which include the general mean μ, main effects, A i , and first order interactions, A ij . In the present work some new optimal designs have been obtained on the basis of a modified criterion of trace optimality. The criterion requires minimisation of the average variance of each of the main effects, two factor interactions, etc. separately instead of minimising average variance of all the estimated effects.