Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative
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Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative. / Lauritzen, Steffen L.; WERMUTH, N.
I: Annals of Statistics, Bind 17, Nr. 1, 1989, s. 31-57.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative
AU - Lauritzen, Steffen L.
AU - WERMUTH, N
PY - 1989
Y1 - 1989
N2 - We define and investigate classes of statistical models for the analysis of associations between variables, some of which are qualitative and some quantitative. In the cases where only one kind of variables is present, the models are well-known models for either contingency tables or covariance structures. We characterize the subclass of decomposable models where the statistical theory is especially simple. All models can be represented by a graph with one vertex for each variable. The vertices are possibly connected with arrows or lines corresponding to directional or symmetric associations being present. Pairs of vertices that are not connected are conditionally independent given some of the remaining variables according to specific rules.
AB - We define and investigate classes of statistical models for the analysis of associations between variables, some of which are qualitative and some quantitative. In the cases where only one kind of variables is present, the models are well-known models for either contingency tables or covariance structures. We characterize the subclass of decomposable models where the statistical theory is especially simple. All models can be represented by a graph with one vertex for each variable. The vertices are possibly connected with arrows or lines corresponding to directional or symmetric associations being present. Pairs of vertices that are not connected are conditionally independent given some of the remaining variables according to specific rules.
U2 - 10.1214/aos/1176347003
DO - 10.1214/aos/1176347003
M3 - Journal article
VL - 17
SP - 31
EP - 57
JO - Annals of Statistics
JF - Annals of Statistics
SN - 0090-5364
IS - 1
ER -
ID: 127879916