Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2008/iii/paper-44/4/e/solution

A common second parameter means the trees reach the same fraction of their asymptotic sizes at the centered day; a common third parameter means they have the same standardized growth rate. The trees may differ mainly in final size while sharing a growth shape. Similar environment and the overlapping posterior estimates make this biologically plausible. Equality is a stronger modelling assumption than partial pooling, and should be checked predictively.

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