Abstract
ABSTRACT A latent trait model for the measurement of physical fitness is proposed. It links the performance in competitions or the laboratory to a latent trait. In contrast to usual approaches that simply consider the sum of scores obtained from quite differently scaled tasks like time to run 100 m and jumping distance to obtain a measure of fitness, it distinguishes between the trait to be measured and the performance in the tradition of latent trait models. The latent trait model that is used is able to account for continuous observations, which distinguishes it from the classical latent trait models for binary or categorical data typically used in the measurement of mental abilities. Tools for the investigation of the contribution of single tasks and the link between task performances with respect to the latent trait are proposed and illustrated exemplarily by using decathlon data.
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