I have performed a survey where I have a number of questions which can be answered Strongly Agree, Agree etc. to Strongly Disagree. Some of the questions have been designed to measure the same thing.
I have summed these variables to get a 'score' for this underlying trait, and I wish to predict this score in a regression
My question is then, can I still considered this summed variable an ordinal variable? And therefore should be using an ordinal regression. Or should I consider this now a continuous variable and use a simple regression?
There have been a few questions I have seen that discuss whether agree / disagree variables can be considered ordinal at all, and others which question whether it is ok to sum these kinds of questions, but I have not found one that discusses the properties of the new variable.