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Abstract
The present investigation was carried out at the Agricultural Experimental and Research station in Faculty of Agriculture, Cairo University, Giza, Egypt during 2008 and 2009 seasons. In the first experiment; twenty five cotton families, lines and cultivars were used. The balanced lattice design (5X5) with six replications was used as a basic design. All recommended agricultural practices were used. The studied traits were seed cotton yield (g/plot), lint cotton yield (g/plot), seed cotton yield per plant (g), lint cotton yield per plant (g), lint percentage and lint index. The studied statistical procedures were traditional designs (randomized complete block design (RCBD), balanced lattice design (6-replications) and partially balanced lattice with 2,3,4 and 5 replications). Also, non-traditional analyses of restricted maximum likelihood (REML) method as ordinary, spatial and meta models were proceeded, for all replication combinations. All combinations from 6 replications were analyzed. i.e., 57 combinations. Relative precision was calculated for each replication-combination in each season. The highest one in relative precision for each combination was identified. Non-traditional methods of statistical analyses were applied to the highest précised data sets. In both seasons, certain genotypes either in F₃ or F₆ showed significantly higher for all studied traits than commercial cultivars under study. Based on results obtained, either quintic or balanced lattices could be recommended instead of RCBD. In general, as long as number of replications increase, the precision increases as in quintic and balanced lattices