(a)Fit a patient-specific model that describes the eect of month, Dose and interaction between Dose and month on the probability of having Amenorrhea over time. Sum- marize your results. What conclusions do you draw about the eects of treatment on changes in the probability of having Amenorrhea over time? Provide results that support your conclusion.

i.Based on the final results from above, compute the predicted probability that a patient receiving Low Dose will have Amenorrhea over time.

ii.Compute the predicted probability that a patient receiving High Dose will have Amenorrhea over time.

iii.Plot the computed probabilities on the same graph. Interpret the result.

Based on the underlying probability distribution of the outcome variable which you specified in 2(b) above, explicitly write down the likelihood function of the data in terms of the unknown parameters of the model; and then discuss how you would find the estimators of the parameters.