This blog post points out psychometric issues with the Calculus Concept Inventory:
- Spencer Bagley, Jim Gleason, Lisa Rice, Matt Thomas, Diana White, Does the Calculus Concept Inventory really measure conceptual understanding of Calculus?, AMS Blog, July 25, 2016.
This NSF project report, "Year 1 (Expanded) Annual Report for DUE-1625678 Project DIRACC: Developing and Investigating a Rigorous Approach to Conceptual Calculus" discusses a "Calculus 1 Concept Inventory" (C1CI) https://www.researchgate.net/publication/319875221_Year_1_Expanded_Annual_Report_for_DUE-1625678_Project_DIRACC_Developing_and_Investigating_a_Rigorous_Approach_to_Conceptual_Calculus; also see https://www.nsf.gov/awardsearch/showAward?AWD_ID=1625678 which says more about ongoing work.
I also came across a reference to "a validated Statistics Concept Assessment, the Benchmark Assessment for Statistics Introductory Concepts (BASIC)" in an email to a statistics mailing list from Michael Pearson of the MAA dated Nov 30, 2023.
This website lists a lot of physics concept inventories, but also has a page about math concept inventories: https://www.physport.org/recommendations/Entry.cfm?ID=124939
