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Examining the Fastest Race in Swimming. Calvin Lutz. 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 - PowerPoint PPT Presentation
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Examining the Fastest Race in Swimming
Calvin Lutz
Background on the RaceShortest/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
The Race3 easily identifiable components
Reaction TimeEvent TimeStart
Power Track Relay
Differences between starts?Can test for thisFriedman’s Test Procedure
n=20k=3
Hypothesis Testing
DataOhio 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
Why a Nonparametric Setting?Blocking by swimmer
Could have large outliers, better to look at medians
Normality = NO
Friedman ResultsS = 19.90 DF = 2 P = 0.000
Rejection of Null Hypothesis
Follow up with Multiple Comparisons
Follow Up Multiple Comparison obs.dif critical.dif difference1-2 11 15.14086 FALSE1-3 17 15.14086 TRUE2-3 28 15.14086 TRUE
1 = Track Start2 = Power Start3 = Relay Start
Comparing with OT DataAgain, use nonparametric setting due to the
same reasons as DI.
A Bunch of RepetitionTest Associations of:
Reaction TimeEvent TimeAge
Test Procedure: KendallBased on signs
Hypothesis Testing
Reason for two-sided approach?
Reaction Time and Event TimeD1 Men
p-value = 0.7666Olympic Trials: Men
p-value = 0.6456Olympic Trials: Women
p-value = .6702
Age and TimeD1 Men*
p-value = .01278Olympic Trials: Men*
p-value = .00162Olympic Trials: Women**
p-value = .08727*= significant at .05 level** = significant at .1 level
Reaction Time and AgeD1 Men
p-value = .6035Olympic Trials: Men
p-value = 0.3881Olympic Trials: Women**
p-value = .07806**= significant at .1 level
Summary of Significant AssociationD1 Men
Age and Time
Olympic Trials MenAge and Time
Olympic Trials WomenAge and Time (.1 level)Reaction Time and Age (.1 level)
ConclusionSignificant negative association between Age
of a swimmer and their 50 freestyle timei.e. The older you are, the faster you are.
No other significant associations found involving reaction time.
Does the start matter?
