I have a set of data where the dependent variable is an ordered response with 7 levels and I've fitted an ordered logit model to the data, and now I want to conduct some robustness checks on the estimates.
Is the Linear Probability Model for binary responses generalisable for ordinal data with multiple categories? I.e. If treat my dependent variable as numeric and use least squares will the interpretation of the coefficients be the same as in the binary case?
I'm aware that there are other methods for robustness checks for ordinal models, but I haven't been able to find any documentation on the topic and am curious.