
420 Current Trends in Bayesian Methodology with Applications
table has a different probability model and there is a borrowing of s trength
across areas. Here a single r ×c ×u contingency table is analyzed. This sing le
table is made up of eight supplemental tables with different parameters. The
parameters p
jkℓt
,
P
jkℓ
p
jkℓt
= 1 , t = 1, . . . , 8, ar e not identifiable and one
strategy is to reduce this set of parameters. Henceforth, we will focus on the
2 × 2 × 2 table.
20.2.1 Pro jec t ion strategy
First, we consider a 2 × 2 categorical table. Let the first row total be x, the
first column total be y and the count in (1, 1) cell be z; the corresponding
supe ...