Optimality of Some Row–Column Designs

Journal of Statistical Theory and Practice - Tập 17 - Trang 1-25 - 2023
J. P. Morgan1, Sunanda Bagchi2
1Department of Statistics, Virginia Tech, Blacksburg, USA
2Theoretical Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore, India

Tóm tắt

Latin squares, Youden squares, and Generalized Youden designs are optimal row–column designs sharing a common characteristic: in each case the two component block designs determined by rows and columns are restricted to the special types of balanced block design known as BIBDs, RCBDs, or more generally BBDs. This article takes up the optimality problem when it is possible to have a BIBD column component, but only a less balanced competitor, known as GGDD, as row component design. A-optimality is established in most cases considered, and E-optimality in all.

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