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The exact distribution of an index of agreement between partitions
Author(s) -
Verhelst N. D.,
Koppen M. G. M.,
Essen E. P.
Publication year - 1985
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1985.tb00815.x
Subject(s) - mathematics , equivalence (formal languages) , cardinality (data modeling) , index (typography) , combinatorics , equivalence class (music) , distribution (mathematics) , class (philosophy) , conditional probability , probability distribution , discrete mathematics , statistics , mathematical analysis , computer science , data mining , artificial intelligence , world wide web
Given two partitions of the same set, an index of agreement between the two partitions is given by the number of pairs of elements appearing together in an equivalence class in both partitions. In this paper the exact permutational probability distribution of this index is derived, i.e. the probability distribution of the index conditional upon the cardinality of the equivalence classes in both partitions.