My questionnaire consist of 20 questions and five of them are related to dependent variable. But the problem is those questions are not in Likert scale and in different scales with fixed answers and one multiple choice question.
Example 5th question has 1-4
6th question dichotomous 1-2
7th question Multiple choice question 7 options
8th question 1-5 options to pick one.
can I build a composite index variable for dependent variable by standardizing these variables ? using Z Scores
can I use Standardized variables to perform a correlation and regression analysis?
You could first test whether all of these items really load onto the same common factor using confirmatory factor analysis for binary/ordinal variables. (It is generally a good idea to test this before computing any kind of composite or sum score). If the model fits well, you could save and use the factor scores as a summary variable of the scale (or directly work with the factor in the model).
PS: The 8th question could be problematic if it is purely nominal (not clear from your description).
Hi, It is a nominal question with 5 answers to be picked one answer by a respondent
You haven't said what your research question(s) is(are), or what your goal of reducing the dimensionality of these 20 items is. It doesn't make sense to me (obviously it does to others ... see above!) to try to answer your question without this information (and again, those above obviously don't think these are important questions).
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