False Start Detection in Elite Athletics

Short Informal Mathematics (SIM) Talk given within the department at the University of Limerick

Transcript

1. Fa l s e - St a r t D e t e c t i o n i n E l i t e At h l e t i c s K e v i n B r o s n a n , U n i v e r s i t y O f L i m e r i c k S I M T a l k , 1 8 t h O c t o b e r 2 0 1 6
2. O u t l i n e … • Background • Rule Changes • Exploratory Analysis • Modelling • Results • Outputs
3. B a ck g r o u n d …
4. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning
5. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning
6. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning
7. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning
8. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning Group Warning
9. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning Group Warning
10. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning Group Warning
11. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning Automatic Disqualification Group Warning
12. R u l e C h a n ge s … 1998 2004 2010 2016 Individual Warning Automatic Disqualification Group Warning
13. E x p l o r a t o r y … 2,310 1,007 1,303
14. E x p l o r a t o r y … 2,310 1,007 1,303
15. M o d e l l i n g … f ( RT|µ, , ⌧ ) = 1 ⌧ exp nµ ⌧ + 2 2⌧2 RT ⌧ o ✓RT µ 2 ⌧ ◆
16. M o d e l l i n g … f ( RT|µ, , ⌧ ) = 1 ⌧ exp nµ ⌧ + 2 2⌧2 RT ⌧ o ✓RT µ 2 ⌧ ◆ µ = 400, = 100, ⌧ = 0
17. M o d e l l i n g … f ( RT|µ, , ⌧ ) = 1 ⌧ exp nµ ⌧ + 2 2⌧2 RT ⌧ o ✓RT µ 2 ⌧ ◆ µ = 400, = 100, ⌧ = 0 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150
18. M o d e l l i n g … f ( RT|µ, , ⌧ ) = 1 ⌧ exp nµ ⌧ + 2 2⌧2 RT ⌧ o ✓RT µ 2 ⌧ ◆ µ = 400, = 100, ⌧ = 0 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150 µ = 400, = 100, ⌧ = 50
19. M o d e l l i n g … f ( RT|µ, , ⌧ ) = 1 ⌧ exp nµ ⌧ + 2 2⌧2 RT ⌧ o ✓RT µ 2 ⌧ ◆ µ = 400, = 100, ⌧ = 0 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150 µ = 400, = 100, ⌧ = 50 µ = 400, = 100, ⌧ = 0 µ = 0, = 0, ⌧ = 150 µ = 400, = 100, ⌧ = 50 µ = 400, = 100, ⌧ = 150
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24. O u t p u t s …
25. Thanks for Listening! Any Questions?