
430 Current Trends in Bayesian Methodology with Applications
TABLE 20.2
Tables of observed and missing counts.
Table Observed Missing
s1 x
k
, y
k
, z
k
, k = 1, 2, w None
s2 x
1
+ x
2
, y
1
+ y
2
, z
1
+ z
2
x
1
, y
1
, z
1
, w
s3 y
1
, y
2
, w x
1
, x
2
, z
1
, z
2
s4 x
1
, x
2
, w y
1
, y
2
, z
1
, z
2
s5 w x
1
, x
2
, y
1
, y
2
, z
1
, z
2
s6 x
1
+ x
2
x
1
, x
2
, y
1
, y
2
, z
1
, z
2
, w
s7 y
1
+ y
2
x
1
, x
2
, y
1
, y
2
, z
1
, z
2
, w
s8 None x
k
, y
k
, z
k
, k = 1, 2, w
NOTE: Table s1 is complete; each of Tables s2, s3, s4 has one catego ry missing;
each of Tables s5, s6, s7 has two categories missing; and Table s8 has all
categories missing.
z
2
|y
2
, θ, p, q ∼ Binomia l(y
2
,
θ
q
), x
2
−z
2
|z
2
, θ, p, q ∼ Binomia l(n−w−y
2
,
p − θ
1 −q
).
For Table s4, ...