I've designed a questionnaire that not only has multiple dimensions, but also multiple criteria, in that every item is rated on multiple criteria, each with a separate rating scale. There are 6 dimensions, with 3 items each, all of which are rated on 4 criteria.
Now the question is how the reliability of such a questionnaire can be assessed. The analyses (internal consistency, factor analysis etc.) could theoretically be done separately for each criterion, but that of course ignores the relation between the criteria, which are all subcomponents of the overall construct. Is there a way to account for this data structure to its full extent?