Motor Skill Composition and the Comparability of Sporting Records

Abstract

Finishing times combine the motor skills required by a particular contest. Changes in equipment, course geometry and resistance can therefore alter the meaning of a comparison between athletes. Completion capability was defined as expected elapsed time conditional on physiological preparedness, movement skill, an action policy and task conditions. Order-preserving transformations, differential time effects and uncertainty intervals were examined mathematically. Official timing and sectional values for the 2018 men's 1500 m short-course final supplied the competition analysis. English-language addressed footwear energetics, swimming, wind and record probability. A strictly increasing transformation exists on attained expected times precisely when all pairwise orders and ties are preserved. Prediction beyond those attained values requires independent calibration. A time-effect difference larger than the preceding performance margin reverses the ordering; interval subtraction determines whether either ordering is supported. Gregorio Paltrinieri's 4.71 s free-swimming advantage over Mykhailo Romanchuk was outweighed by a 5.18 s turn disadvantage and a calculated 0.26 s start difference, producing a 0.73 s finish deficit. Reweighting the completed turn sections changes the arithmetic ordering at approximately 0.859 of their full weight, without predicting another course. An athlete comparison requires a named completion task, specified movement policy, validated adjustment and explicit uncertainty.