Estimable functions in age-period-cohort models: a unified approach

Estimable functions in age-period-cohort models: a unified approach Age-period-cohort (APC) models have an intriguing appeal because each of these factors may be independently associated with age-period-specific rates (or other values). Unfortunately, one can not uniquely estimate the effects that generated the outcome data because these effects are linearly dependent. It is possible, however, to estimate certain linear combinations of these effects that are themselves unique estimates of the data generating parameters. The author demonstrates that all of the least square solutions for the APC model lie on a line in multidimensional solution space. This characteristic of the solutions to the APC model allows for a unified approach to the derivation of estimable functions, which is then used to derive the most prominent estimable functions in the APC literature and can be used to discover new ones. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quality & Quantity Springer Journals

Estimable functions in age-period-cohort models: a unified approach

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Publisher
Springer Netherlands
Copyright
Copyright © 2012 by Springer Science+Business Media Dordrecht
Subject
Social Sciences, general; Methodology of the Social Sciences; Social Sciences, general
ISSN
0033-5177
eISSN
1573-7845
D.O.I.
10.1007/s11135-012-9780-6
Publisher site
See Article on Publisher Site

Abstract

Age-period-cohort (APC) models have an intriguing appeal because each of these factors may be independently associated with age-period-specific rates (or other values). Unfortunately, one can not uniquely estimate the effects that generated the outcome data because these effects are linearly dependent. It is possible, however, to estimate certain linear combinations of these effects that are themselves unique estimates of the data generating parameters. The author demonstrates that all of the least square solutions for the APC model lie on a line in multidimensional solution space. This characteristic of the solutions to the APC model allows for a unified approach to the derivation of estimable functions, which is then used to derive the most prominent estimable functions in the APC literature and can be used to discover new ones.

Journal

Quality & QuantitySpringer Journals

Published: Oct 5, 2012

References

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