Using old results to produce new solutions in age–period–cohort multiple classification models

  • Robert M. O’BrienEmail author


The best fitting solutions to the age–period–cohort multiple classification (APCMC) model lie on a line of solutions in multidimensional solution space. This means that there are an infinite number of best fitting solutions to an APCMC model. This paper uses that fact to show how researchers can find new solutions based on previously published solutions that are more consistent with theory and/or substantive research in a specific area of research. These results can refine and/or challenge the published research. Finally, the paper demonstrates how results from a previous study can be used to derive some important estimable functions that are true for any just identifying constrained solution to an APCMC model.


Age–period–cohort models Bounds for age–period cohort models Estimable functions for age–period–cohort models Producing new results from old results for age–period–cohort models 


Supplementary material

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Supplementary material 1 (XLSX 13 kb)


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Department of SociologyUniversity of OregonCastle ValleyUSA

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