February 4th 2004, 2pm for 2.30pm at Xaverian
College, Rusholme
Statistics for Sport: Regression
Modelling in Mountain Navigation and Test
Cricket
Philip Scarf, University of
Salford
At Headlingley in the Ashes
test in 2001 Australia declared their second innings and set
England a final innings target of 315. England won. This was
small consolation however, as they had already lost the
series. This is an example of a decision made in sport at
the highest level that could have benefited from a 'bit
of Statistics'.
Declarations in test cricket
are considered in this talk and we use a 'bit of Statistics' in
the shape of regression modelling to develop an aid for
captains. In fact, decision problems in sport abound - when to
commit a professional foul in football is a classic - early on
in a game model leaving your side with ten players would be
foolish; however late on, when the score is close, it may be
sensible to do so.
Sports men and women have to
make decisions during competition, and the extent to which they
do so varies from sport to sport. In a more obscure sport -
mountain marathons - competitors are continually making
decisions: 'where am I', 'which way?' and 'how fast?'. Mountain
marathons are mountain running events with navigation from
point to point. Route choices have to be made on the run. Again
a bit of that old favourite, regression, can help and is used
to model running times.
Sailing and Formula One motor
racing are other good examples where modelling can be
beneficial. Sport is big business now, so we are not just
doing the statistics here 'for sport', but we are doing serious
applied statistics in sport!
(Philip Scarf is senior
lecturer at Salford, having got a BSc in Probability and
Statistics from Sheffield in 1984 and a PhD in Statistics from
UMIST in 1989. His research interests include stochastic
modelling with applications in sport and maintenance and
reliability. He is a keen orienteer and cyclist, and
occasional club cricketer.)
Directions:
map of Xaverian College neighbourhood
a JPEG of the area
Word file that shows the site
layout
Word file of written
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A page that may be used as a
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