### Abstract

The prediction of future athletic performance is a recurring theme as sports scientists strive to understand the predicted limits of sports performance. Predictive models based on Olympic data for athletics have derived some accurate predictions of performance in the 2000, 2004, 2008 and 2012 Olympic Games. The aim of this research was to develop predictive models using performance data of the first three athletes competing in the finals of the men’s shot put, discus, hammer and javelin at the Summer Olympic Games from Berlin 1936 to London 2012. The approach utilised regression-curve estimation using IBM SPSS Statistics Version 22 statistical software and by evaluating fit to linear, logarithmic, inverse, quadratic, cubic, compound, power, sigmoidal, growth exponential and logistic functions. The mathematical models varied represented very good predictors of past, current future throws performance in the four field events based on R

^{2}(0.850 - 0.972), p-values (<.001) and unstandardized residuals or error. The non-linear function of best fit for events was the cubic function, which indicated a decrease in performance in recent Olympics and predicted this performance decline would occur at the 2016 Olympic Games in Rio de Janeiro. The reasons for the current and predicted declines were more vigilance concerning drugs in sport and therefore dampening the enhanced performance effect of anabolic androgenic hormones, fewer athletes are undertaking the throwing events as a completive sport and changes in the source population providing the sample of potential throws athletes in Australia in terms of motor fitness abilities are getting smaller in terms of motor fitness abilities and thus fewer capable athletes exist to select from within source population. The good predictive models may be due to a longer time frame data set to develop substantive predictive models, a time frame able to detect phylogenetic trends in human athletic performance. The predictions may indicate a slightly modified Olympic motto from citius, altius, fortius to citius, altius and infirmius or “faster, higher and weaker?”Original language | English |
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Title of host publication | Proceedings of the 12th Australasian Conference on Mathematics and Computers in Sport |

Editors | A Bedford, T Heazlewood |

Place of Publication | Australia |

Publisher | MathSport (ANZIAM) |

Pages | 48-53 |

Number of pages | 6 |

ISBN (Print) | 978-0-9925475-1-6 |

Publication status | Published - 2014 |

Event | Australasian Conference on Mathematics and Computers in Sport 2014 12th - Darwin, Australia Duration: 25 Jun 2014 → 27 Jun 2014 |

### Conference

Conference | Australasian Conference on Mathematics and Computers in Sport 2014 12th |
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Period | 25/06/14 → 27/06/14 |

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## Cite this

Heazlewood, I., & Walsh, J. (2014). Mathematical Models that Predict Athletic Performance in the Men's Throwing Events at the Olympic Games. In A. Bedford, & T. Heazlewood (Eds.),

*Proceedings of the 12th Australasian Conference on Mathematics and Computers in Sport*(pp. 48-53). MathSport (ANZIAM).