Mahnaz, You only need to send one request. Many folks do not check the list daily and I usually wait to see if others respond before I respond. Likert scale responses are among the most difficult types of data to analyze well. Many folks use approximate analyses. A good textbook treatment of ordinal data analysis is the relevant chapters in Frank Harrell's book on Regression modeling strategies. My go-to reference for categorical predictors is Shah and Madden, who deal with plant disease ratings on an ordinal 0-10 scale. Title: Nonparametric analysis of ordinal data in designed factorial experiments Author(s): Shah, DA (Shah, DA); Madden, LV (Madden, LV) Source: PHYTOPATHOLOGY Volume: 94 Issue: 1 Pages: 33-43 DOI: 10.1094/PHYTO.2004.94.1.33 Published: JAN 2004 Since your response is the average of 5 Likert scores, you may be able to use standard methods for Gaussian data. The important issues are: 1) the analysis assumes the scale is linear. I.e. the average of 2 and 4 is the same (in a subject matter sense) as the average of 1 and 5. Also, the change between 2 and 3 is the same (in a biological sense) as the change between 4 and 5. As you can tell, the assumption of linearity has consequences both for averaging 5 responses to get one summary score and for the form of the regression model. 2) that the variance of the response is smaller when the mean is close to 1 or close to 5. This may not be a problem if most of the average responses are between 2 and 3. You may decide to do an approximate analysis and ignore the unequal variances. Best wishes and good luck! Philip Dixon
Thoughts on ordinal regression
1 message · Dixon, Philip M [STAT]