To compare architecture assessment methods, we have developed a framework that can help choose a specific assessment method. Our goal is to assess the suitability of different elements of the framework with respect to a reference model for process improvement. We used Capability Maturity Model Integration (CMMI) as an assessment tool by applying a study approach that we call a strategy of semantic comparison. We compared each element of the framework with concepts and objectives of different components of the CMMI. Our study has found that fifteen of the seventeen elements of the framework can be fully mapped to different components of the CMMI, while the rest of the two can be partially mapped. The results are expected to foster the confidence of the practitioners in the capability of the framework.