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Articles

An improvement index to quantify the evolution of performance in running

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Pages 610-622 | Accepted 26 Aug 2013, Published online: 30 Sep 2013

References

  • Balmer, N., Pleasence, P., & Nevill, A. (2012). Evolution and revolution: Gauging the impact of technological and technical innovation on Olympic performance. Journal of Sports Sciences, 30(11), 1075–1083.
  • Berthelot, G., Tafflet, M., El Helou, N., Len, S., Escolano, S., Guillaume, M., … Toussaint, J.-F. (2010). Athlete atypicity on the edge of human achievement: Performances stagnate after the last peak, in 1988. PLoS One Public Library of Science, 5(1), e8800.
  • Berthelot, G., Thibault, V., Tafflet, M., Escolano, S., El Helou, N., Jouven, X., … Toussaint, J. F. (2008). The citius end: World records progression announces the completion of a brief ultra-physiological quest. PLoS One Public Library of Science, 3(2), e1552.
  • Blest, D. C. (1996). Lower bounds for athletic performance. The Statistician, 45(2), 243–253.
  • Chatterjee, S., & Chatterjee, S. (1982). New lamps for old: An exploratory analysis of running times in Olympic Games. Journal of the Royal Statistical Society. Series C (Applied Statistics), 31(1), 14–22.
  • Deakin, M. (1967). Estimating bounds on athletic performance. The Mathematical Gazette, 51(376), 100–103.
  • Denny, M. W. (2008). Limits to running speed in dogs, horses and humans. Journal of Experimental Biology, 211, 3836–3849.
  • Ernst, S., & Simon, P. (2012). A quantitative approach for assessing significant improvements in elite sprint performance: Has IGF-1 entered the arena? Drug Testing and Analysis, 5(6), 384–389.
  • Foster, L. (2012). Modelling the effect of technology on elite sport (PhD thesis). Sheffield Hallam University, Sheffield.
  • Foster, L., James, D., & Haake, S. (2011, June 22–24). The influence of the Olympic Games on athletic performance. In Proceedings of the 3rd international conference on mathematics in Sport 2011 (pp. 37–43). CD-ROM. Essex: The Institute of Mathematics and its Applications, ISBN: 978-0-905091-28.
  • Foster, L., James, D., & Haake, S. J. (2010). Understanding the influence of population size on athletic performance. Procedia Engineering, 2(2), 3183–3189.
  • Grubb, H. J. (1998). Models for comparing athletic performances. Journal of the Royal Statistical Society: Series D (The Statistician), 47(30), 509–521.
  • Haake, S. J. (2009). The impact of technology on sporting performance in Olympic sports. Journal of Sport Sciences, 27(13), 1421–1431.
  • IAAF (2011). International Association of Athletics Federations – Home page. Retrieved from http://www.iaaf.org/
  • Kuper, G. H., & Sterken, E. (2008). Modelling the development of world records in running. In J. Albert & R. H. Koning (Eds.), Statistical thinking in sports (pp. 7–31). Boca Raton, FL: Chapman and Hall.
  • Lippi, G., Banfi, G., Favaloro, E. J., Rittweger, J., & Maffulli, N. (2008). Updates on improvement of human athletic performance: Focus on world records in athletics. British Medical Bulletin, 87, 7–15.
  • Lucy, L. B. (1958). Future progression in the mile, IOTA. Magazine of the Manchester Mathematical Colloquium, Vol. 1, pp. 8–11. 
  • Malina, R. (1972). Comparison of the increase in body size between 1899 and 1970 in a specially selected group with that in the general population. American Journal of Physical Anthropology, 37(1), 135–142.
  • Mognoni, P., Lafortuna, C., Russo, G., & Minetti, A. (1982). An analysis of World Records in three types of locomotion. European Journal of Applied Physiology, 49, 287–299.
  • Moré, J. J. (1978). The Levenberg–Marquardt algorithm: Implementation and theory. In G. A. Watson (Ed.), Numerical analysis (Vol. 630, pp. 105–116). Lecture Notes in Mathematics. Berlin: Springer-Verlag.
  • Morton, R. H. (1983). The supreme runner: What evidence now? The Australian Journal of Sport Sciences, 3(2), 7–10.
  • Nevill, A. M., & Whyte, G. (2005). Are there limits to running World Records? Medicine & Science in Sports & Exercise, 37(10), 1785–1788. 
  • Nevill, A. M., Whyte, G. P., Holder, R. L., & Peyrebrune, M. (2007). Are there limits to swimming World Records? International Journal of Sports Medicine, 28(12), 1012–1017.
  • Norton, K., & Olds, T. (2001). Morphological evolution of athletes over the 20th century. Sports Medicine, 31(11), 763–783.
  • Rabinovich, M. (2013). Track and field statistics. Retrieved from http://trackfield.brinkster.net
  • Ratkowsky, D. A. (1983). Nonlinear regression modelling: A unified practical approach. New York, NY: Marcel Dekker.
  • Rosenbaum, S. (1988). 100 Years of heights and weights [online]. Journal of the Royal Statistical Society. Series A (Statistics in Society), 151(2), 276–309.
  • Ryder, H. W., Carr, H. J., & Herget, P. (1976). Future performance in footracing. Scientific American, 234(6), 109–114.
  • Schutz, R. W., & McBryde, J. P. (1983). The prediction of ultimate track and field performance: Past, present, future. In S. Kereliuk & R. Morse (Eds.), Proceedings of the FISU Conference Universiade ’83 in association with the Xth HISPA Congress (pp. 498–515). Edmonton: Reidmore Books.
  • Seber, G. A. F., & Wild, C. J. (2003). Nonlinear regression. Hoboken, NJ: Wiley-Interscience.
  • Tatem, A. J., Guerra, C. A., Atkinson, P. M., & Hay, S. I. (2004). Momentous sprint at the 2156 Olympics? Nature, 431, 525–526.
  • Whipp, B. J., & Ward, S. A. (1992). Will women soon outrun men? Nature, 355, 25.

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