I am analyzing a proportion $y \in [0,1]$. I will eventually be conducting analysis using zero-and-one inflated beta regression.
Before I perform that analysis, I would like to quantify the reliability this measurement. 75 raters rated the same subject on two different days. I was wanting to calculate the ICC.
Does anyone have a suggestion on how to do this for $y \in [0,1]$? I could build an appropriate beta model to calculate the components for an ICC calculation... but there are 4 parameters for a zero-and-one inflated beta model. I am not sure how I could combine these elements to compute an ICC. Is there perhaps a non-parametric way calculate the ICC?