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Question about Normality of 5-point Likert scale

Hello researchers and practitioners.

I really have a hard time trying to normalize my data. Introducingly, my study is about green IT product acceptance. There are eight factors, six are 5-point Likert scale (Str.disagree - Str.agree), one is 2-point Yes/No question, and the other one is 3-point scale (Don't know/Maybe/Know). I have 618 returned questionnaires.

I add data into SPSS, compute variables, and round'em up. I explore skewness and kurtosis of all factors and!!! found that they're not normal distributed. I tried a Two Step Transformation to Normality and Box-Cox, but the KS and SW Sig. are still .000. However, Q-Q plot change from loosely distributes to perfectly follows the slope.

My questions are:

  1. Do you have any suggestion to solve the problem?
  2. Some said Likert scales is not normal in it's nature, is that true?
  3. Do I need to normalize all factors before do Structural Equation Model?
  4. Do you know any literature to cite and explain this phenomenon?

Thank you in advance. :D