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Hoxby, C., (2005)
‘Competition Among Public Schools: A Reply to Rothstein’
NBER Working Paper 11216
- A robust dismissal of Jesse Rothstein's comments on
Hoxby’s
earlier (2000) paper on Tiebout school choice.
- The author argues that Rothstein’s alleged ‘replication’ of
her results was in fact a deliberate attempt to find conflicting results,
and that his alterations to her specification are both flawed and motivated
by the same desire to contradict her findings.
- Hoxby points out that
Rothstein’s later (2004-5) comment has almost
no overlap with his earlier (2003) one – as though one set of arguments
had failed, and he had searched for new ones.
Key results:
- Hoxby argues that Rothstein’s differing results when including
private school pupils in the sample arise due not to superior sample/controls,
but due to substituting error-prone data for error-free data. Rothstein
changes the method of assigning locations to all pupils (not just
public school pupils) when he adds in the private school children,
introducing significant measurement error.
- She states that the four
school districts in Ohio (which Rothstein pointed out had been assigned
to the wrong state) do not actually
contain any students from the sample, and thus literally cannot affect
the results.
- Regarding her use of larger and smaller streams as instruments,
Hoxby points out that large rivers may attract commerce and hence
cities. Thus the smaller streams are the more credible instruments,
and the differing coefficients on smaller and larger streams should
not be surprising.
- Hoxby takes Rothstein to task for proposing the
number of school districts in 1942 as an alternative instrument for
the number of districts
in 1990. The number of districts is likely to be serially correlated
and is therefore not an appropriate instrument.
- She also savages Rothstein
for proposing SAT scores as an alternative measure of student achievement
(rather than the representative survey
[NELS] data used in Hoxby [2000]). She points out that in some states
as few as 3% of students take SATs, and “there are no statistical
techniques that allow an econometrician to deduce what is happening
in 97% of a distribution from looking at the top 3% of it.”
- Hoxby
concludes that Rothstein’s comments are “not replications
in the scientific sense and are without merit.”
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