Advances and Applications in Statistics
Volume 49, Issue 1, Pages 31 - 48
(July 2016) http://dx.doi.org/10.17654/AS049010031 |
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AN ALGORITHM BASED ON GENERALIZED PROCRUSTES ANALYSIS TO FIND THE CONSENSUS OF SEVERAL CONFIGURATIONS OF INDIVIDUALS CONNECTED BY COMMON CHECKS
Andrea Lavalle and Sergio Bramardi
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Abstract: In field evaluation of large germplasm collections, the experimental material must be divided into manageable experimental trials. In each trial, a set of entries is evaluated by several descriptors. The sets of individuals are different between trials, but an important characteristic of this design is the presence of a certain number of entries involved in all trials, these ones are used as connections between them. The information obtained from these trials is presented by incomplete matrices, because not all individuals are evaluated in all the conditions (trials). Considering this problem, the present algorithm is based on performing a Generalized Procrustes Analysis on the individuals that are common to all conditions, considering the rest of the individuals in each condition as supplementary individuals. This algorithm allows to obtain a consensus configuration when the initial matrices are not complete but are connected by a group of individuals in common. The algorithm was illustrated by a simulation of the experimental situation with three conditions and 16 individuals. |
Keywords and phrases: germplasm evaluation, multiway matrices, supplementary individuals. |
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