Exact(1)
This was one reason why Dawson and Belkhir (2001 , 2002 proposed using the posterior co-assignment probabilities as a basis for inferences about the sample partition.
Similar(59)
Dawson and Belkhir (2001) made use of the posterior co-assignment probabilities of sets of individuals.
Furthermore, in situations where the posterior probabilities of individual partitions are too small (relative to Monte Carlo error) to be estimated reliably, the posterior co-assignment probabilities of many subsets of the label set can be estimated accurately, using a large sample of observations from the posterior distribution.
Here we denote the posterior co-assignment probability of the set U by II (U).
The PartitionView software package can now compute the posterior co-assignment probability of any set of individuals, regardless of weather or not it corresponds to a node of the rooted binary forest, so that the rooted binary forest can be used as a starting point for a more detailed exploration of the posterior distribution of the sample partition.
Each node of this forest defines a set of individuals, and the node height is the posterior co-assignment probability of this set.
The exact linkage algorithm takes the posterior co-assignment probabilities as input, and yields as output a rooted binary tree, - or more generally, a forest of such trees.
By making the height of each node equal to the posterior co-assignment probability of the set of individuals defined by that node (the individuals whose labels occupy the terminal nodes that can be reached by ascending the tree from that node), we can present the posterior co-assignment probabilities of n - 1 sets in a format which is easy to view and interpret.
Painter (1997) recommended using posterior co-assignment probabilities in an early paper on Bayesian discovery of full-sib families.
We were not the first to use (posterior) co-assignment probabilities in the context of Bayesian clustering (Dawson and Belkhir, 2001).
Emery et al. (2001) also used posterior co-assignment probabilities in Bayesian discovery of full-sib and half-sib families.
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