My dependent variable is measured on a 4 point likert scale and independent variable is measured on a 7 point likert scale. Is it appropriate to run regression analysis on such data with varying lengths of likert scale, especially a 4 point likert scale against a 7 point likert scale.
Solved – Is it acceptable to use linear regression to predict a 4 point likert scale from a 7 point likert scale
likertregressionspss
Best Answer
It is generally fine to use predictor and outcome variables that use different metrics when performing multiple regression.
To demonstrate the point, you can rescale predictor or dependent variables using a linear transformation (.e.g., z-scores, centering, and so on) and this will not influence your $R^2$ or your standardised regression coefficients (note that I'm not saying you should do this, I'm just pointing out that this aspect of scaling is not the issue). Of course, using 4 or 7 point response scales is more than just rescaling, but from my experience, correlations and $R^2$ wont change a lot based on whether you use a 4 or 7 point scale.
That said, there several issues to consider when you have predictor or dependent variables that are single item variables with a small number of ordered response options:
Note most of the above was written on the initial assumption that your predictor and outcome variable were single items. If you have multi-item scales that just happen to use different response scales, then there's not too much to think about. Most people treat such scales as standard numeric variables in their multiple regressions.