Should I tick the variable which I want to control, namely a covariate, as nuisance?
Hello! I'm working on a paper recently and I want to use Bayesian analysis to analyze my data. I have one continuous independent variable A, one dichotomy independent variable B, and a continuous dependent variable C. Therefore I used the Bayesian Linear Regression. Before the regression analysis, I first checked whether some personal characters (X, Y, Z...) differ among the experimental conditions, and found participants in different conditions did differ on X and Y. So I want to take X and Y as covariates in the later analysis for controlling them.
My question is should I tick X and Y as nuisance in the model? And Why?
Thanks in advance for your help!