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- Title
Collapsibility for Directed Acyclic Graphs.
- Authors
XIANCHAO XIE; ZHI GENG
- Abstract
Collapsibility means that the same statistical result of interest can be obtained before and after marginalization over some variables. In this paper, we discuss three kinds of collapsibility for directed acyclic graphs (DAGs): estimate collapsibility, conditional independence collapsibility and model collapsibility. Related to collapsibility, we discuss removability of variables from a DAG. We present conditions for these three different kinds of collapsibility and relationships among them. We give algorithms to find a minimum variable set containing a variable subset of interest onto which a statistical result is collapsible.
- Subjects
ACYCLIC model; DIRECTED graphs; GRAPHIC methods; DISTRIBUTION (Probability theory); STATISTICAL reliability; STATISTICAL functionals; STATISTICAL mechanics; ALGEBRAIC topology; STATISTICAL measurement
- Publication
Scandinavian Journal of Statistics, 2009, Vol 36, Issue 2, p185
- ISSN
0303-6898
- Publication type
Article
- DOI
10.1111/j.1467-9469.2008.00627.x