Sankhya: The Indian Journal of Statistics
1999, Volume 61, Series B, Pt. 3,pp. 460--468
INTER-EFFECT ORTHOGONALITY AND OPTIMALITY IN HIERARCHICAL MODELS
ALOKE DEY, Indian Statistical Institute, New Delhi
RAHUL MUKERJEE, Indian Institute of Management, Calcutta
SUMMARY. It is shown that in hierarchical models if a fractional factorial plan allows inter--effect orthogonality then it is also universally optimal. It is also demonstrated that this phenomenon does not necessarily hold in non--hierarchical models. A combinatorial characterization for inter--effect orthogonality is given for hierarchical models and its applications are indicated
AMS (1991) subject classification.62K15.
Key words and phrases. Fractional factorial plan; orthogonal array; universal optimality.
Full paper (PDF)
This article in Mathematical Reviews