1. Since the full data-driven approach has been criticized in statistics, is it worthy to propose the strategy to obtain Q-matrix?
2. The accuracy of estimating a best-fitted Q-matrix was based on the fact that item responses were generated under the true model. Supposed part of responses does not follow CDMs, then the algorithm collapses.
3. The scoring matrix in IRT has a similar nature with the Q-matrix in CDMs. Accordingly we may apply the algorithm to explore the dimensionality of items in IRT.
4. A question is especially concerned by laymen that, if the estimated Q-matrix does not match the one specified by a group of experts, which one should we select?