group2: Generating the finest partition that is coarser than two given partitions
Christian H. Salas Pauliac
Department of Public Policy
University of Chicago
Chicago, IL
[email protected]
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Abstract. In this article, I develop a useful interpretation of the function group()
based on partitions belonging to mathematical set theory, an interpretation that
in turn engenders a related command here called group2. In the context of the
partitioning of sets, while the function group() creates a variable that generates the
coarsest partition that is finer than the finest partition generated by the variables
used as arguments, the group2 command will create a variable that generates the
finest partition that is coarser than the coarsest partition generated by the variables
used as arguments. This latter operation has proven very useful in several problems
of database management. An introduction of this new command in the context
of mathematical partitions is provided, and two examples of its application are
presented.
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Christian H. Salas Pauliac
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group2, partitions, group, egen
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