Question: When model (XY, XZ, YZ) is inadequate and variables are ordinal, useful models are nested between it and (XYZ). For ordered scores {u i },

When model (XY, XZ, YZ) is inadequate and variables are ordinal, useful models are nested between it and (XYZ). For ordered scores {u_i}, {Ï…_j} and {w_k}, consider

a. Show that log odds ratios for any two variables change linearly across levels of the third variable.

b. Show that the likelihood equations are those for model (XY, XZ, YZ) plus

log Hijk = a + A + } + A + AY + A XZ ;W )w, - w, nig- i jk

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