Goodness of fit tests with misclassified data based on phi-divergences

The well known chi(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 phi-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. Biometrical Journal