analogy for pearson r statistics for binary classification task I am trying to get idea how variables of my data correspond to target variable (binary class).

In regression, Pearson r statistic is quite good to get sense of variable relationship. Also I can use it for classification, treating classes 0 and 1 as real values but it's a risky trick.

My question: is there any equivalent statistic saying which variable is good for classification task ? Thanks
The Pearson Chi-Squared test may give you what you need:
https://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test 

This is a good resource for analyzing categorical data:  https://en.wikipedia.org/wiki/List_of_analyses_of_categorical_data

Also, confusion matrices can be very helpful:  https://en.wikipedia.org/wiki/Confusion_matrix