Research question: Does UW Men\'s soccer team have a home field advantage? Here

Question

Research question: Does UW Men's soccer team have a home field advantage? Here are data from the 2016-17 season. The table gives Opponent, and Win/Loss (W/L) for each game, designated Home/Away (H/A). They played St. Mary's only Away (not Home). (a) Make a suitable two-way table of counts for these data to explore the relationship between UW men's soccer team's wins/losses and whether they played home or away. Clearly label everything. (b) Compute, table, label & interpret the joint, all marginal and all conditional distributions based on your table in (a). Clearly label everything. Your interpretations should consist of 1-2 clear sentences that would explain to someone unfamiliar with two-way tables jargon, what each of your distributions tells us. These sentences should use the terms of UW soccer, opponent(s), win/won, loss/lost, (c) Do you believe these data do/not show that UW had a home field advantage that season? Choose the relevant distribution(s) from (b) to support your answer. Write clear sentences describing your work, and interpreting your results. As in (b), these sentences should use the terms of UW soccer, opponent(s), win/won, loss/lost,

Explanation / Answer

a)

b)

P(W) = 0.64 ; P(L)= 0.36

P(Home) = 0.45; P(Away) = 0.55

P(W| Home) = 0.18/0.45 = 0.4

P(L|Home) = 0.27/0.45 = 0.6

P(W|Away) = 0.45/0.55 = 0.82

P(L|Away) = 0.09/0.55 = 0.18

c)

P(Win|Home) < P(Win|Away)

So there is no advantage in home field.

W L Total Home 2 3 5 Away 5 1 6 7 4 11

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