On a Minimax Property of a Balanced Incomplete Block Design
Mote, V. L.
Ann. Math. Statist., Tome 29 (1958) no. 4, p. 910-914 / Harvested from Project Euclid
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It is shown that for a given set of parameters ($b$ blocks, $k$ plots per block and $v$ treatments), among the class of connected incomplete block designs, a balanced incomplete block design (if it exists) is the design which maximizes the minimum efficiency, efficiency being defined as $$\frac{\text {Variance of an estimated treatment contrast in a randomized block}{Variance of the estimated treatment contrast in the incomplete block}}.$$ The proof will be preceded by a lemma.
Publié le : 1958-09-14
Classification:  
@article{1177706550,
     author = {Mote, V. L.},
     title = {On a Minimax Property of a Balanced Incomplete Block Design},
     journal = {Ann. Math. Statist.},
     volume = {29},
     number = {4},
     year = {1958},
     pages = { 910-914},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177706550}
}

Mote, V. L. On a Minimax Property of a Balanced Incomplete Block Design. Ann. Math. Statist., Tome 29 (1958) no. 4, pp.  910-914. http://gdmltest.u-ga.fr/item/1177706550/