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G - Postregression Accounting Formulae

Published online by Cambridge University Press:  12 January 2010

Peter H. Lindert
Affiliation:
University of California, Davis
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Summary

To judge how large or small are the various influences on any dependent variable requires postregression accounting. In the simplest variant, one easily decomposes any difference in the dependent variable into predicted differences and an error term. The predicted differences are sums of individual terms for each causal influence, where each term is a coefficient times the observed difference in that independent variable. The decomposition allows one to explain historical and comparative international stories, with leading roles for some forces and smaller roles for others. I have used this straightforward approach in earlier writings. Chapter 16's treatment of the 1880–1930 period gave results that were not far from this simple approach.

The accounting and storytelling become more complicated when the regression equation involves the lagged dependent variable as an independent variable, with only a short lag. In this case the straightforward approach will typically give the lion's share of the causal credit to that lagged dependent variable. Such a result generates a boring tale: The dependent variable is different between countries this year because it was different last year. To add insight to the tale, one must decompose that shortlagged value of the dependent variable into the earlier forces that determined it. That leads to a plodding algebraic journey into the history of each variable.

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Chapter
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Growing Public
Social Spending and Economic Growth since the Eighteenth Century
, pp. 198 - 200
Publisher: Cambridge University Press
Print publication year: 2004

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