The highly publicized (recent TV reports) zn vztro fertzlzzatzon success cases for women in their late fifties all involve donor's egg. If the egg is the woman's own, the story is quite different. In...

The highly publicized (recent TV reports) zn vztro fertzlzzatzon success cases for women in their late fifties all involve donor's egg. If the egg is the woman's own, the story is quite different. In vitro fertilization (IVF). one of the assisted reproductive technologies (ART) procedures, involves extracting a woman's eggs, fertilizing the eggs in the laboratory. and then transferring the resulting embryos into the woman’s uterus through the cervix. Fertilization involves a specialized technique known as intracytoplasmic sperm injection (ICSI). The table shows the live-birth success rate per transfer rate from the recipients' eggs, stratified by age of recipient. The data are for year 1999, published by US - Centers for Disease Control and Prevention (CDC): (http: //www. cdc. gov/reproductive health/ART99/index99. htm)

Assume the change-point regression model

(i) Propose priors (with possibly hyperpriors) on

(ii) Take discrete uniform prior on 'T and write a Win BUGS program.