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In my paper, in the section methodology, I have a subsection called dependent variable. But since I am performing a logistic regression, there seem to be 2 (or even 3) things that could be named the dependent variable:

First you have your Y, which is a measured variable.

Second there is the predictedlog-odds of the probability.

Third there is the predicted probability (easily calculated from the log-odds).

I am wondering which one to describe in my paper in this section? I prefer not to talk about the log-odds, since it makes no sense to make things more complicated at that stage of the paper. I wanted to say the actual Y, cause that's what people are used to in linear regression, but it seems the Y is not dependent of the independent variables, its dependent of the probability. Could I safely talk about the probability, without breaking any rules?

Does anyone have any experience with this? Maybe an example of a research paper/article.

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I don't think one needs a paper. The dependent variable is the Y variable (these are used as synonyms.)

The log odds, and the predicted probabilities, are what are modelled from the logistic regression -- these are results, rather than model inputs.

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