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I have many Likert variables regarding a single item issue. Specifically, I am dealing with several measures of

IT Dept Quality, like % of budget devoted to IT department, Number of External Audits, etc ; each is measured on a Likert scale. I ultimately want to regress EDIT against a( single-valued) IV Likert. For this , I need to transform all the individual "submeasures" of IT Dept quality into a single measure. I did FA ( Factor Analysis) and I was able to select 4 items explaining some 79% of variability, so that I may dispose of the other items. Still, I want to make a single variable out of these 4 reduced ones. Are there standard ways of going about this? Would a single variable as the mean to all of these work? Should I maybe do a weighted sum with each subvariable given a weight proportional to the variance it explains, e.g., if I am given X,Y,Z ( after FA) , explaining, say, 60%, 25% and 15% of total variance respectively, would it make sense to transform a triple (x,y,z) of values in (X,Y,Z) into a single value w=12x+5y+3z ? How would this compare to just averaging out into w'=(x+y+z)/3 Any other Ideas?

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# A Composing Likert "Subvariables" into a Single Variable

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