Normalization of Showjumping Competition’s Results

Abstract

Abstract The aim of this study was to verify the newly proposed transformation of penalty points and ranking of showjumping horses for the purpose of genetic evaluation. Genomic information in the transformation of input data was used as well. Data of showjumping competition Global Champions Tour was used. Profit of penalty points was transformed to normally distributed variable using Blom formula (height of obstacles and height of obstacles with single nucleotide polymorphism - SNP effect taken into account). Non-normal distribution was obtained. The rankings of sport horses in competitions were transformed using the Blom formula (height of obstacles taken into account) to normal distribution (tests of normality Kolmogorov-Smirnov (KS) test Pr>D, D 0.011, P>0.150, Cramer-von Mises (CM) test Pr>W-Sq, W-Sq 0.039, P>0.250, Anderson-Darling test (AD) Pr>A-Sq, A-Sq 0.638, P<0.097). Better distributed variable ranking transformed by Blom formula (height of obstacles and SNP effect taken into account) was obtained (KS test Pr>D, D 0.004, P>0.150, CM test Pr>W-Sq, W-Sq 0.004, P>0.250, AD test Pr>A-Sq, A-Sq 0.062, P>0.250). Model where all used fixed effects to equation were applied without any combination of the effects was tested, R2 0.54. Variable ranking was transformed to normal score by Blom formula (height of obstacles was taken into account). In the following model some effects were taken into account in the form of quadratic regression, R2 0.61. Variable ranking was transformed to normal score, the same as in previous model. In the last model we transformed variable ranking to normal score by Blom formula, taking into account height of obstacles and SNP effect. Same effects as in previous model were used, R2 0.60