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Concussions among college football players and whether they experienced previous

ID: 3181305 • Letter: C

Question

Concussions among college football players and whether they experienced previous concussions? A study included 122 concussions among college football players with no previous concussions, 41 players with one previous consussion, and 25 players with two or more concussions. Here are corresponding estimated numbers of exposures: 185,060, 42,850, and 12,583. Does the distribution of concussions appear to fit the distribution of exposures? Do previous concussions appear to be associated with a greater likelihood of a concussion?

Explanation / Answer

here corresponding proportion are

185060/(185060+42850+12583) ; 42850/(185060+42850+12583); 12583/(185060+42850+12583)

=0.77 : 0.18 :0.05

hence applying chi square goodness of fit test

for above chi stat 28.607 with 2 degree of freedom ; p value =0.0000

hence we can not find association b/w previous and current survey distribution

observed Expected Chi square P O E=total*p =(O-E)^2/E no previous 0.77 122.00 144.67 3.55 one previous 0.18 41.00 33.50 1.68 >=2 concussion 0.05 25.00 9.84 23.38 188 188 28.607
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