# Significance of binary variables

If I have variables $X_1$, $X_2$, ... $X_n$ whose values are only 1 or 0, in order to explain a variable $Y$, is there a way to determine which ones are significant, and also, how could it be measured?

• This is a regression problem. The method to select depends on the nature of $Y$ and, to some degree, on how frequently the various combinations of the $X_i$ appear in the data and precisely how you view $Y$ as depending on the $X_i$. If you could disclose that information you would have much better chances of attracting answers that go beyond the generic advice "use regression" or "use ANOVA" (which is essentially the same thing). – whuber Jun 20 '17 at 19:36