I am looking to run an analysis with multiple IVs (nominal) and DVs (all ordinal). I would like to have something similar to a hierarchical regression, where adding the additional variables can indicate change in model fit. While a multivariate GLM will allow me to look at multiple DVs/IVs, I'm not sure if there is a way to do this step-wise. Multinomial logistic regressions appear to only allow for one DV.

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