Dear all,

I am modelling household water use data (i.e., total annual household water use). The distribution of this variable is log-normal -- but rather than log-transforming this outcome variable, I have elected to use a Poisson model w/robust standard errors (see: https://blog.stata.com/2011/08/22/us...tell-a-friend/).

My question here is concerning model fit/comparison across models. I am wondering if AIC and BIC (as estimated by Stata's estat ic command) are appropriate as a measurement for model fit, given that this modelling approach is based on log psuedolikelihood? And if not...which criterion/statistics may be used to assess/compare model fit for such a model?

Thanks very much for your time,

Matt