I was wondering if I can categorize the factor saved scores by taking their quartiles (or some other measures, I am not sure what should I use!) as cut points and use them as predictors in an ordinal logistic regression.
The reason I am thinking of doing so is that, the number of empty cells increases to a lot extent if I use the factor saved scores as they are (continuous in nature).
I have no particular reason behind choosing quartiles as the cut points. The factor scores were obtained from an optimal scaling of the variables (some variable were continuous, some were ordinal, some were nominal) and then factor analysis of the optimally scaled variables using varimax rotation. I am just thinking if I can categorize the factor scores by some means and try to name them as, probably, "lowest scores", "lower scores", "higher scores" and "highest scores" etc. and use them in an ordinal logistic regression as independent variables so that I can comment on the different levels of scores compared to the reference category ("lowest scores") of that factor.
I am not sure what should be used as the cut points. Even I am not sure if this is a right procedure. Can anyone please suggest?
Thanks in advance for your kind theoretical support.