1. Write an algorithm to estimate the parameters in the dichotomous probit model using the binomial likelihood function-with link function. The likelihood function will contain normal integrals. Compare results between this algorithm and the Gibbs sampler. Are there any differences in the speed of convergence? Are the parameter estimates and standard errors comparable? 230 8 Generalized Linear Models.

2. Construct an MH algorithm to estimate the parameters in the ordinal probit model.