Question: GENERALIZED INVERSE QUESTION 1 [10] Let ((3,) denote the minimum value of the log-likelihood function for the minimal model with linear predictor x3min = Bo,

GENERALIZED INVERSE

QUESTION 1 [10] Let ((3,) denote the minimum value of the log-likelihood function for the minimal model with linear predictor x3min = Bo, and let ((B) be the corresponding value for a more general model xB = Bot Brit ... + BpIp. (a) Show that the likelihood ratio chi-squared statistics is C = 2[((B) - ((Bmin)] = Do - D1, where Do is the deviance for the minimal model and D, is the deviance for the more general model. (5) (b) Deduce that if , = ... = Bp = 0, then C has the central chi-squared distribution with p degrees of freedom.

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