Based on Mutual Information, Normalized Mutual Information includes a normalization factor:
With that, the formal definition of Normalized Mutual Information is:
BayesiaLab reports the Normalized Mutual Information in the Target Analysis Report: Main Menu > Analysis > Report > Target > Relationship with Target Node
.
Note that this table shows the Normalized Mutual Information of each node, e.g., XRay, Dyspnea, etc., with regard to the Target Node, Cancer.
In Preferences, Child refers to the Normalized Mutual Information from the Parent onto the Child node, i.e., in the direction of the arc.
Conversely, Parent refers to the Normalized Mutual Information from the Child onto the Parent node, i.e., in the opposite direction of the arc.
where denotes the number of states of .
This means that the Mutual Information is divided by the maximum possible entropy of , i.e., .
The Normalized Mutual Information can also be shown by selecting Main Menu > Analysis > Visual > Overall > Arc > Mutual Information
and then clicking the Show Arc Comments icon or selecting Main Menu > View > Show Arc Comments
.
Note that the corresponding options under Main Menu > Preferences > Analysis > Visual Analysis > Arc's Mutual Information Analysis
have to be selected first: