mutualinf: Computation and Decomposition of the Mutual Information Index
The Mutual Information Index (M) introduced to social science literature by
Theil and Finizza (1971) <doi:10.1080/0022250X.1971.9989795> is a multigroup
segregation measure that is highly decomposable and that according to Frankel
and Volij (2011) <doi:10.1016/j.jet.2010.10.008> and Mora and Ruiz-Castillo
(2011) <doi:10.1111/j.1467-9531.2011.01237.x> satisfies the Strong Unit
Decomposability and Strong Group Decomposability properties. This package allows
computing and decomposing the total index value into its "between" and
"within" terms. These last terms can also be decomposed into their
contributions, either by group or unit characteristics. The factors that produce
each "within" term can also be displayed at the user's request. The results can
be computed considering a variable or sets of variables that define separate
clusters.
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