Premium
Goodness of Fit Tests with Misclassified Data Based on φ‐Divergences
Author(s) -
Pardo L.,
Zografos K.
Publication year - 2000
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/(sici)1521-4036(200005)42:2<223::aid-bimj223>3.0.co;2-t
Subject(s) - goodness of fit , multinomial distribution , statistics , mathematics , binomial distribution , divergence (linguistics) , econometrics , philosophy , linguistics
Abstract The well known χ 2 goodness of fit test for a multinomial distribution is generally biased when observations are subject to misclassification. In this paper, based on a double sampling scheme, the family of φ‐ divergence test statistics is introduced for testing goodness of fit under misclassification of the data. The case of binomial data is discussed and an illustrative example is also given.