Refer to model (10 32) a Construct a more general model having home team parameters Hi and away team parameters Ai , such that the probability team i beats team j when i is the home team is exp( Hi ) exp( Hi ) exp( Aj ) , where AI 0 but Hi is unrestricted b Interpret the case Hi Ai c , when (i) c 0, and (ii) c 0 c Fit the model to Table 10 12 Compare the fit to model (10 32) Compare Hi and Ai to describe how teams play at home and away Table 10 12

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Question: Refer to model (10.32). a. Construct a more general model having home-team parameters { Hi } and away-team parameters { Ai }, such that the

Refer to model (10.32).

a. Construct a more general model having home-team parameters {β_Hi} and away-team parameters {β_Ai}, such that the probability team i beats team j when i is the home team is exp(β_Hi)/[exp(β_Hi) + exp(β_Aj)], where β_AI = 0 but β_Hi is unrestricted.

b. Interpret the case {β_Hi = β_Ai + c}, when (i) c = 0, and (ii) c > 0.

c. Fit the model to Table 10.12. Compare the fit to model (10.32). Compare {β̂_Hi} and {β̂_Ai} to describe how teams play at home and away.

Table 10.12:

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