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Measures of Imbalance for Unbalanced Models
Author(s) -
Khuri A. I.
Publication year - 1987
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710290402
Subject(s) - mathematics , goodness of fit , measure (data warehouse) , log linear model , statistics , statistic , test statistic , econometrics , statistical hypothesis testing , linear model , computer science , data mining
In this paper we present a procedure to measure the degree of imbalance of an unbalanced data set. The procedure is based on choosing an appropriate loglinear model for the subclass frequencies of the data. A measure of imbalance is then introduced as some function of the chi‐squared statistic used in the goodness‐of‐fit test for the loglinear model. The proposed procedure can also be used to measure departures from certain types of balance, such as proportionality of subclass frequencies, partial balance, and last‐stage uniformity.