Factor analysis
The transposed or Q methodology factor analysis, created by William Stephenson (psychologist) brings this relationship out explicitly. CBA scores are statistically isomorphic to the component scores in PCA for a Q factor analysis. They are the loading of each person's responses on the mean of all people's responses. So, Q factor analysis may provide a superior CBA measure, if it can be used first to select the people who represent the dominant dimension, over items that best represent a subordinate attribute dimension of a domain (such as liberalism in a political domain). Factor analysis can then provide the CBA of individuals along that particular axis of the domain.