arious methods of constructing nested ternary and quaternary efficiency balanced and variance balanced designs are proposed by applying some repetitions of treatments in all possible pairs of treatments. In these designs sub-blocks and super-blocks may form different p-ary designs, where sub-blocks have higher efficiency as compared to super-blocks, i.e., any two elementary treatment contrasts in the sub-blocks can be measured with higher efficiency than any two elementary contrasts in the super-block structure. A comparison is shown in Table 1.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1035,
author = {Shivani Rai and Shakti Banerjee and Sanpei Kageyama},
title = {Some constructions of nested balanced equireplicate block designs},
journal = {Discussiones Mathematicae Probability and Statistics},
volume = {23},
year = {2003},
pages = {45-68},
zbl = {1049.62088},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1035}
}
Shivani Rai; Shakti Banerjee; Sanpei Kageyama. Some constructions of nested balanced equireplicate block designs. Discussiones Mathematicae Probability and Statistics, Tome 23 (2003) pp. 45-68. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmps_1035/
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