I was conducting the 95% confidence interval for the HB of a MaxDiff study that I am doing and used the instructions according to Chapter 12 of Bryan Orme and Keith Chrzan's 2017 book, Becoming an Expert in Conjoint Analysis: Choice Modeling for Pros. from this link [https://www.sawtoothsoftware.com/169-support/technical-papers/cbc-related-papers/2033-statistical-testing
I used the alpha draws and the results were reasonable for the unconstrained model. But when I tried the constrained models where I added several constraints, the results become unreasonable for some levels as the Interval dose not contain the model estimate values, Should I then use the mean beta draws instead? what is the justification for that? when I add covariates to me constrains what should I do to calculate the 95% Confident interval?
N.B. I used the standalone program (CBC/HB) to generate the data