| Education (last updated July 11, 2005)
"Productivity shock" It is well known in the USA that
cost per student has risen enormously while measured learning
achievement in the NAEP has not risen substantially. Woessman,
with various co-authors, has extended this result by linking NAEP
scores (consistent over time) to various cross national tests (e.g.
SIMSS) (consistent at a point in time) to create estimates of the
evolution over time in many countries. He also creates series on
"real" expenditures per pupil (which corrects for "Baumol" effects by
deflating with prices of non-tradable services). He and his
co-authors find that the decline in "test score answered correctly per
dollar of expenditure" declined dramatically in nearly every OECD
country. This is a big puzzle. This "think piece" explores
various alternative explanations for this generalized phenomena: Educational
Quality and Costs: A Big Puzzle and Five Possible Pieces.
Interaction of education and growth.
The upshot of both "Where has all the education gone?" and "Does
Learning to Add up Add up" is that the growth impact of education
almost certainly varies across countries. The puzzle is
explaining why and how in ways that are consistent with both the
micro-economic and aggregate data. That is, education could have
a low output impact because the micro-economic return is low--in which
case this should be evident in the observed micro evidence on Mincer
returns. But it could also be the case that the gap between the
micro-Mincer and aggregate returns differs across countries because in
some countries there are positive externalities to education while in
other countries there are negative externalities. While positive
externalities of schooling get a lot of attention, there are also
cases with negative externalities. In any model where "rent
seeking" activities are a privately renumerative activity and rent
seeking is a wealth reducing activity and is skill intensive (e.g.
lawyers, a la Vishny et. al.) then in "distorted" environments there
would be persistent high observed returns to education with no
aggregate (or even negative) returns to increases in aggregate output.
The puzzle is: is this true? what is the appropriate
interacting variable? Are there ancillary hypothesis of this
story that would add credence.
Late Enrollment. The four figures
below are from Deon Filmer's wonderful website showing enrollment and
attainment from more than 70 countries around the world based on
household data sets (which allows distinctions by household wealth,
residence, and gender of child). This figures constitute a
puzzle for me.
 
 
Why are these figures a puzzle? Because the usual
education story is that the marginal cost of schooling rises over time
(as productivity and hence opportunity cost of time increases with
age) while the marginal benefit of a year of schooling is roughly
constant. This would generate a single crossing: enroll as
soon as allowed (since MB>MC) and then quit school when MC>MB.
The Indonesia figure shows roughly this story--nearly everyone who
will go to school is in by age 7. But the others show other
stories--in Ethiopia the enrollment ) particularly for the poor rises
right through to age 14--there are more children coming into school at
later ages than leaving it. This is (a little less certainly)
true in both urban and rural areas and true for boys and girls.
This must mean there is a "double crossing" of the MB and MC curves
with respect to age. One story (a la Glewwe and Jacoby) is that
the MB rises sharply with age, especially among small or nutritionally
deficit children, as they are not "school ready" so that the MB is low
at young ages, but rises. But it is not clear this can explain
the variations across country and all the pervasiveness of the
phenomena (e.g. even among the richest 20 percent in poor countries).
One story is that parents actually have a target years of attainment
and then maximize the learning from those years (rather than being
uncertain about termination and learning about MB and MC) so for
instance, if a parent knows their child is only going for five years
of schooling (primary) perhaps they would prefer ages 10 to 15 than 6
to 11. The more concrete question are whether these decisions
have negative consequences (e.g. ex post regret if a child turns out
to have a high MB of schooling (high aptitude) but enrolled late so MC
rises very fast) and if there any policy instruments for extending
attainment by limiting late enrollment (rather than the usual focus on
drop-out or lack of progression).
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