I have 5 variables - $v_{1}$, $v_{2}$, $v_{3}$, $v_{4}$, and $v_{5}$. All are categorical variables.
I conducted a $\chi^{2}$ (chi-square) test to understand the relationship between these variables. I could see that $v_{3}$ and $v_{4}$ have p-values of 0. I understand that these two variables are dependent on each other. Should I remove one of the variable from further analysis?
What if the same $v_{3}$ and $v_{4}$ are independent of other variables, like $v_{1}$, $v_{2}$, and $v_{5}$?