Table 1 showed data on accidents involving trains.Is it plausible that the collision counts are independent Poisson variates with constant rate over the 29 years? Respond by comparing a Poisson regression for collision rates that contains only an intercept term with a Poisson regression that contains also a time trend. The deviances of the two models are 35.1 and 23.5.A negative binomial model is fitted. The estimated collision rate x years after 1975 was e-4.20(e-0.0337)x=(0.015)(0.967)x. The ML estimate β(hat)=−0.0337 has SE = 0.0130. Conduct the Wald test of H0: β = 0 against H1: β =/= 0The likelihood-ratio 95% conﬁdence interval for β is (−0.060, −0.008). Find the interval for the multiplicative annual effect on the accident rate, and interpret. TrainYear Train-km Collisions20032002518516508503505487463437014234154254304394314362001200019991998199719961995199419931992199119901989Source: British Department of Transport.101212OINI4Train-roadTrainCollisions Year Train-km Collisions0AANNIANW3344222462419881987198619851984198319821981198019791978197719761975443397414418389401372417430426430425426436212OSANNSINS0535Train-roadCollisions4613537322348122

The given data shows accidents involving trains.Part (1) The objective is to test that the collision…

Answered: le 1 showed data on accidents involving…

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Chapter1: Starting With Matlab

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Problem 1P

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Table 1 showed data on accidents involving trains.

Is it plausible that the collision counts are independent Poisson variates with constant rate over the 29 years? Respond by comparing a Poisson regression for collision rates that contains only an intercept term with a Poisson regression that contains also a time trend. The deviances of the two models are 35.1 and 23.5.
A negative binomial model is fitted. The estimated collision rate x years after 1975 was e^-4.20(e^-0.0337)x=(0.015)(0.967)x. The ML estimate β(hat)=−0.0337 has SE = 0.0130. Conduct the Wald test of H0: β = 0 against H1: β =/= 0
The likelihood-ratio 95% conﬁdence interval for β is (−0.060, −0.008). Find the interval for the multiplicative annual effect on the accident rate, and interpret.