Using the moment approach, find estimates of the hyper parameters in the situation of (a) Exercise 25(a). (b) Exercise 25(b). We will observe, for i = 1, ... , p, independent   is the unknown mean...

Using the moment approach, find estimates of the hyper parameters in the situation of

(a) Exercise 25(a).

(b) Exercise 25(b).

We will observe, for i = 1, ... , p, independent
  is the unknown mean yield per acre of com hybrid i. It is felt that the 8j are similar, to be modelled as being i.i.d. observations from a common population. The common mean of the 8j is believed to be about 100, the standard error of this guess being estimated to be about 20. Nothing is deemed to be known about the common variance of the 8io so it will be given a constant (see Section 4.6 for reasons) non informative prior. Find a reasonable hierarchical model for this prior information.