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Näıve Bayes Classification is based on input variables that are a conditionally independent given output variable. The Näıve Bayes assumption is unrealistic but simplifies the problem of high dimensional joint probability estimation into a series of univariate probability estimations. Thus Näıve Bayes classifier is often adopted in the analysis of massive data sets such as in spam e-mail filtering and recommendation systems. In this paper, we propose a variable selection method based on χ2 statistic on input and output variables. The proposed method retains the simplicity of Näıve Bayes classifier in terms of data processing and computation; however, it can select relevant variables. It is expected that our method can be useful in classification problems for ultra-high dimensional or big data such as the classification of diseases based on single nucleotide polymorphisms(SNPs).

Categorical Variable Selection in Naïve Bayes Classification