The Scottish premier league table for the season 2010/2011 is shown. Is there a

Question

The Scottish premier league table for the season 2010/2011 is shown. Is there a significant advantage for a team playing at home ? Outline clearly which test you have chosen to use and why. Clearly state what level of significance you have chosen to use. Is there a home advantage for the top 6 teams ?

Home Away Total TEAM Pld W D L GF/GA. W D L GF/GA W D L GF/GA Diff. Pts 1. Rangers 38 14 2 3 43 f 14 16 1 2 45 15 30 3 5 88 29 +59 93 Celtic 38 15 3 1 51 /11 14 2 3 34 11 29 5-4 35 22 +63 92 2. 9 5 5 27 21 9 4 6 26 24 18 9 11 53 45 +8 63 3. Hearts 4. Dundee Utd 38 13-1 5 34 22 4-9 6 21 28 17 10 11 55 50 +5 61 5. Kilmarnock 49 6. Motherwell 38 3 3 8 24/24 5 4 10 16 36 13-7-18 40 60 20 7. Inverness CT 38 7 4 8 25/24 7 7 5 27 20 14-11 13 52 44 +8 53 8. St. Johnstone 38 6 5 8 10 19 5 6 8 13/24 11 11 16 23 /43 20 44 Aberdeen 9. 20 38 Hibernian 38 5 6 8 21 29 5 1-13 18 32 10 7 21 39 61 22 37 10. 4 6 9 20 27 4-3-12 13 30 8-9 21 33 57 24 33 11. St. Mirren 12 Hamilton 35 26

Explanation / Answer

a) Based on the results, to play at home gives a clear advantage for the most of teams, comparing the data, there is a bigger chance to win in home than away from home for almost teams.

b) Anova Analysis is one choice, after or incluided a regression model, both, shows a variable indicators like mean, strd. desviation, variance, mean squares, critical values, that allow to see the variables reaction comparing the independen variable results with the dependent one, and how much are related.

c) For this data, the confidence level of 95% is the most convenient using an F distribution with 11 degrees of freedom.

d) Not for all the data, most (4) shows a clear advantage wining at home and not away from home, one team has the same probability wining home than away, and another one presents a bigger lost probability.

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