I am doing research to the adoption of a certain product. I have measured how price conscious customers are (using a 5-Likert scale) and have assigned them into three groups (low, neutral and high) accordingly. I would like to know if there is a difference between these groups in terms if they choose the 'none' option (=adoption rate) yes or no.
I did an ANOVA so far to see if there is a statistical difference between the groups. That means I compared the individual level utitilies from the none option from group 'low' with the utilities in group 'neutral' and 'high'. Now, I doubt if this is legitimate as the magnitude of the none-utility varies among the respondents, so extreme non-adopters could for example mislead the conclusion.
Hope someone can confirm if this is the right approach or what would be a better alternative, thanks!