Robert Coe has claimed that three broad conceptions of comparability can be identified from the literature: performance, statistical and conventional. Each of these he rejected, in favour of a single, integrated conception which relies upon the notion of a "linking construct" and which he termed "construct comparability". Traditional frameworks for conceptualising comparability are undoubtedly limited. However, rather than rejecting their insights, a more fruitful approach is to reinterpret them. A new framework for conceptualising comparability makes more sense of traditional distinctions and helps to make sense of similarities and differences between linking constructs. (Contains 1 table and 1 note.)