Use of Alpha-Designs in Oil Palm Breeding Trials
American Journal of Theoretical and Applied Statistics
Volume 8, Issue 4, July 2019, Pages: 136-146
Received: Jun. 26, 2019; Accepted: Aug. 1, 2019; Published: Aug. 14, 2019
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Léon Rob Verdooren, Danone Nutricia Research, Utrecht, The Netherlands
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In Oil Palm Breeding trials the plots have palms at vertices of equilateral triangles with side length of 9 m. The plots consist of 6x6 = 36 palms, hence a plot is a rectangle of 46.8 x 54m. The number of tested varieties is 20 – 40, the experimental design needed is an incomplete block design, with usually 3 replications; the alpha-designs can give a connected incomplete block design. Current Oil Palm planting materials are DxP hybrid based on crossing selected dura palms (female parents) with pisifera palms (male parents) to produce tenera palms with thin shelled fruits. The crossing scheme of A dura and B pisifera is an incomplete diallel if he number of crossings C is smaller than A*B. To make a connected crossing scheme the alpha-design can be used. In the analysis of an oil palm breeding trial an additive model of the dura and pisifera effects is applied to estimate the general combining ability of the parents after removing the fixed replication effect and the random blocks within the replication effects. The analysis can be done with the package SAS or IBM SPSS Statistics with program Mixed; further with R and the R package lme4.
Incomplete Block Designs, Alpha-designs, Incomplete Diallel Crossing Scheme, Use Alpha-designs for a Connected Crossing Scheme, Use SAS or IBM SPSS Statistics with Program Mixed for Analysis
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Léon Rob Verdooren, Use of Alpha-Designs in Oil Palm Breeding Trials, American Journal of Theoretical and Applied Statistics. Vol. 8, No. 4, 2019, pp. 136-146. doi: 10.11648/j.ajtas.20190804.12
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