I have used a Likert scale in my survey, where respondents answer statements in terms of 1=strongly agree to 5=strongly disagree.
There are 5 items measuring a single type of 'need gratification' and there are 5 different needs.
After summing the five items for each need gratification, a score is obtained between 5 to 25. These scores have been categorised into four "quartiles":
5-10 is Q1 (first quartile) , 10-15 is Q2 , 15-20 is Q3 and 20-25 is Q4 .
How can I test which of the five needs scales has the largest proportion of responses in the 20 to 25 range (Q4)?
Best Answer
When you say 'quartile' - are those things based on the quartiles in this data (if so, how) or one some external criterion?
Assuming it's some externally determined cut-off point, this simply looks like a comparison of proportions rather than just raw counts ... which is, as you suggest, a chi-square.