Applying the Polynomial Model in Simplex

Abstract

The component proportions of dairy feeds using simplex- centroid design approach was considered. Soya beans, maize jam, cotton seed and fish meal were blended at each design point of the Simplex-Centroid and the responses in terms of dairy animal productivity was considered. The main objective of the study was to test a simplex- centroid design and search for optimal mixture of feed ingredients to the outcome on milk productivity of dairy animals using a polynomial model. Research therefore seek to derive a polynomial model for the four components simplex- centroid design. Using the collected data, fit the derived model and determine the coefficient at each design point and test for their significance using R-software. The result proved that the feed supplement had a significance effect on the milk productivity. However ANOVA was run to improve the precision of the model by taking into account the constant term. This proved that also other feeding practices were significantly important in the productivity. The result showed that the blend of soya beans and Fish meal supplement has significance contribution at 0.05. The concentrate of soya beans, cotton seed and fish meal supplement shows significance contribution at 0.05. Again at the centroid point where all the four ingredient are blended was significance at 0.05.