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Analysis of 50 Freestyle Race in Swimming: Statistical Findings and Associations

This study explores the 50 freestyle race in swimming, focusing on start differences and statistical analysis of reaction time, event time, and age in major competitions like the US Olympic Trials and NCAA Division I. The research delves into nonparametric settings, Friedman's test results, and significant associations found across different parameters. Conclusions reveal intriguing insights on the impact of age and start variations on race performance.

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Analysis of 50 Freestyle Race in Swimming: Statistical Findings and Associations

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  1. Examining the Fastest Race in Swimming Calvin Lutz

  2. Background on the Race • Shortest/fastest race in Swimming = 50 freestyle • Two courses • Short Course Yards “SCY” (25 yards/length) • Long Course Meters “LCM” (50 meters/length) • Most competitive meet in the world • U.S. Olympic Trials • Most competitive “league” • NCCA Division I

  3. The Race • 3 easily identifiable components • Reaction Time • Event Time • Start • Power • Track • Relay

  4. Differences between starts? • Can test for this • Friedman’s Test Procedure • n=20 • k=3 • Hypothesis Testing

  5. Data • Ohio State Invite SCY, November 2012 • http://grfx.cstv.com/photos/schools/osu/sports/m-swim/auto_pdf/2012-13/misc_non_event/113012-finals.pdf • 2012 Olympic Trials LCM (for 2nd part) • http://www.omegatiming.com/Competition?id=00010C0102FFFFFFFFFFFFFFFFFFFFFF&sport=AQ&year=2012

  6. Why a Nonparametric Setting? • Blocking by swimmer • Could have large outliers, better to look at medians • Normality = NO

  7. Friedman Results • S = 19.90 DF = 2 P = 0.000 • Rejection of Null Hypothesis • Follow up with Multiple Comparisons

  8. Follow Up Multiple Comparison • obs.difcritical.dif difference • 1-2 11 15.14086 FALSE • 1-3 17 15.14086 TRUE • 2-3 28 15.14086 TRUE • 1 = Track Start • 2 = Power Start • 3 = Relay Start

  9. Comparing with OT Data • Again, use nonparametric setting due to the same reasons as DI.

  10. A Bunch of Repetition • Test Associations of: • Reaction Time • Event Time • Age • Test Procedure: Kendall • Based on signs • Hypothesis Testing • Reason for two-sided approach?

  11. Reaction Time and Event Time • D1 Men • p-value = 0.7666 • Olympic Trials: Men • p-value = 0.6456 • Olympic Trials: Women • p-value = .6702

  12. Age and Time • D1 Men* • p-value = .01278 • Olympic Trials: Men* • p-value = .00162 • Olympic Trials: Women** • p-value = .08727 *= significant at .05 level ** = significant at .1 level

  13. Reaction Time and Age • D1 Men • p-value = .6035 • Olympic Trials: Men • p-value = 0.3881 • Olympic Trials: Women** • p-value = .07806 **= significant at .1 level

  14. Summary of Significant Association • D1 Men • Age and Time • Olympic Trials Men • Age and Time • Olympic Trials Women • Age and Time (.1 level) • Reaction Time and Age (.1 level)

  15. Conclusion • Significant negative association between Age of a swimmer and their 50 freestyle time • i.e. The older you are, the faster you are. • No other significant associations found involving reaction time. • Does the start matter?

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