A missingness mechanism is <ignorable> for likelihood-based inference about the outcome parameter when the observed-data likelihood can be formed from the outcome model alone. The standard sufficient conditions are MAR and <distinct parameters>: the outcome-model parameter and missingness-model parameter have a product parameter space. The missingness indicators then carry no additional likelihood information about the outcome parameter once the observed outcomes are given.

Solution

Past exam of the mathematics course of the University of Cambridge / 2019 / iii / Paper 207 / 3 / 3 / a / Solution

Outcome and missingness parameters are distinct when their joint parameter space is the Cartesian product of their separate parameter spaces, so variation-independent choices can be made for the two models.


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