A comparison of Olympic and Paralympic performances

In 2012, Oscar Pistorius created history as the first amputee sprinter to compete in the Olympics.Other athletes achieved amazing feats long before the Paralympics were introduced, including gymnastGeorge Eyser who won six medals at the 1904 Olympics with a wooden leg, and others who competed inboth Games. An exciting challenge of considerable interest is to compare performances of Olympic andParalympic athletes, so contributing to improving integration of the two competitions. We generalize the recent dynamic shrinkage method for class handicapping and apply it to competitionresults from equestrian individual dressage at the London 2012 Summer Games and cross country skiingat the Sochi 2014 Winter Games. Our analysis generates promising results and surprising revelations. Italso offers a fair method for comparing performances by athletes from other diverse groups, with potentialbenefits of extra incentive and reward systems for motivating unified sporting participation in generalsettings