Multi-Attribute Global Inference of Quality
Encyclopedia
Multi-attribute global inference of quality (MAGIQ) is a multi-criteria decision analysis
Multi-Criteria Decision Analysis
Multiple-criteria decision-making or multiple-criteria decision analysis is a sub-discipline of operations research that explicitly considers multiple criteria in decision-making environments. Whether in our daily lives or in professional settings, there are typically multiple conflicting criteria...

 technique. MAGIQ is based on a hierarchical decomposition of comparison attributes and rating assignment using rank order centroids. The MAGIQ technique is used to assign a single, overall measure of quality to each member of a set of systems where each system has an arbitrary number of comparison attributes. The MAQIC technique has features similar to the analytic hierarchy process
Analytic Hierarchy Process
The Analytic Hierarchy Process is a structured technique for organizing and analyzing complex decisions. Based on mathematics and psychology, it was developed by Thomas L...

 and the simple multi-attribute rating technique exploiting ranks (SMARTER) technique. The MAGIQ technique was first published by James D. McCaffrey
James D. McCaffrey
For the American actor, see James McCaffrey.James D. McCaffrey is a software researcher and author known for his contributions to the fields of mathematical combinatorics and software test automation...

. The MAGIQ process begins with an evaluator determining which system attributes are to be used as the basis for system comparison. These attributes are ranked by importance to the particular problem domain, and the ranks are converted to ratings using rank order centroids. Each system under analysis is ranked against each comparison attribute and the ranks are transformed into rank order centroids. The final overall quality metric for each system is the weighted (by comparison attribute importance) sum of each attribute rating. The references provide specific examples of the process. There is little direct research on the theoretical soundness and effectiveness of the MAGIQ technique as a whole, however the use of hierarchical decomposition and the use of rank order centroids in multi-criteria decision analyses have been studied, with generally positive results. Anecdotal evidence suggests that the MAGIQ technique is both practical and useful.
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