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RESEARCH PAPER NO. 851
A DISCUSSION OF THE APPROPRIATE METHOD FOR DECOMPOSING CHANGES
OVER TIME IN A WEIGHTED AGGREGATE INTO ITS
PROXIMATE DETERMINANTS AND AN APPLICATION
TO MALE PARTICIPATION RATE CHANGES
BY
ROBERT DIXON
JULY 2002
Department of Economics. University of Melbourne. Melbourne Victoria 3010 Australia
This paper considers the most appropriate technique to be
used to decompose moments over time of a
weighted average into rate and weight (age)
components and also proposes various graphical
methods by which we can best present the
results of decomposition procedures. The
material is illustrated with reference to
data on labour market participation by males
in Australia over the period 1978-2001.
The main findings are: First, that
changes in the age composition are the main
source of change in the (weighted) aggregate
participation rate. Second, that it
is the downward trend in the participation
rate for males in the age group 25-54 which
for some 6 or 7 years now has been virtually
the only source of a reduced rate component
in the aggregate. Changes in participation
rates by older males, although quantitatively
important prior to 1985, are no longer the
main source of change in the aggregate participation
rate for males.
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