Bringing the schools back in: the stratification of educational achievement in the chilean voucher system
International Journal of Educational Development
j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m / l o c a t e / i j e d u d e v
Bringing the schools back in: the stratification of educational achievementin the Chilean voucher system§
a Center for Applied Economics, Department of Industrial Engineering, Universidad de Chile, Santiago, Chileb Department of Sociology, New York University, United States
This paper analyzes the socioeconomic stratification of achievement in the Chilean voucher system using
a census of 4th and 8th graders, a multilevel methodology, and accounting for unobserved selectivity
into school sector. Findings indicate that the association between the school’s aggregate family
Socioeconomic stratificationMultilevel methodology
socioeconomic status (SES) and test scores is much greater in the private-voucher sector than in thepublic one, resulting in marked socioeconomic stratification of test scores in the Chilean voucher system. We also find that the amount of tuition fees paid by parents in private-voucher schools has no bearing ontest scores, after controlling for the socioeconomic makeup of the school. Implications of these findingsfor educational inequality in the context of a universal voucher system are discussed.
ß 2010 Elsevier Ltd. All rights reserved.
Evaluation of these small-scale, short-term voucher experiments
leaves unanswered, however, the important question about the
Among the diverse policies to improve the quality of schooling,
general equilibrium outcomes of a universal voucher system
educational vouchers are one of the most debated. Proponents
highlight that, by expanding educational choice and stimulating
Chile provides a unique case to explore this question. In 1981, in the
competition among schools, vouchers will provide alternatives to
context of a market transformation of the Chilean economy, a
low-resource families trapped in underperforming public schools
universal voucher mechanism was implemented. In the new system,
the government grants a per-student subsidy to all public and
private schools provided that they do not charge tuition; and all
that voucher schools will skim off students with higher perform-
families are allowed to use their voucher in the school of their choice
ance and more socioeconomic resources, furthering segregation
without improving overall educational outcomes (
led to a massive reallocation of students from the public to the newly
established private-voucher sector. Public sector enrollment
evaluation of experimental voucher programs in the US is not
dropped from 78% in 1981 to 53% of the total enrollment in 2002
conclusive. Evaluation of programs such as the Milwaukee Parental
Several studies have examined the educational outcomes of
the Chilean voucher system. Lacking experimental evidence,
report a range of estimated effects from no
researchers have used observational data, concentrating on two
improvement to small gains, with effects sensitive to sample
questions: (1) Do voucher schools yield higher educational
decisions, and varying across students’ gender and race.
achievement than public ones, net of the characteristics of theirstudent bodies? and (2) has the competition in local educationalmarkets promoted by voucher schools improved educational
outcomes? Virtually all studies of the Chilean voucher system
We are grateful to the SIMCE office at Chile’s Ministry of Education for providing
focus on the differences across school sector – public vis-a-vis
us with the data. Carolina Ostoic and Marcelo Henrı´quez provided excellentresearch assistance. Mizala acknowledges funding from FONDECYT project N8
private-voucher – implicitly assuming that the variance in
1061224 and PIA-CONICYT project CIE-05.
achievement between sectors is more relevant than the variance
* Corresponding author at: Center for Advanced Research in Education,
across schools within sector, thereby inadvertently neglecting the
Universidad de Chile, Chile. Fax: +562 9784011.
school as a unit of analysis. The reason is understandable as, as we
will document, there are significant differences in educational
achievement across sectors. However, if substantial variation in
0738-0593/$ – see front matter ß 2010 Elsevier Ltd. All rights reserved. doi:
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
achievement between schools exists, students’ outcomes may be
2. Stratification and achievement in the Chilean voucher
more closely related to the characteristics of the school they attend
than to whether the school is private-voucher or public. No studyto date examines differences in attainment between and within
Beginning in the early 1980s, far-reaching reforms were
schools across educational sector in the Chilean voucher system,
implemented in the Chilean educational system by an authoritari-
an regime that came to power in 1973. The reforms involved the
This paper attempts to fill this gap. Using a multilevel
decentralization of the public school system and the handing over
formulation, and controlling for unobserved selectivity in the
of school administration to local governments (municipalities).
allocation of students into school sectors, we examine the
The most important component of the reform was a new financing
socioeconomic distribution of achievement within and between
mechanism for public and private schools through a nationwide
schools in the public and private-voucher schools. We find that
per-student subsidy, which allowed families to select the school,
the Chilean voucher system has given rise to a particular form of
stratification. Contrary to a simplified vision of sorting, in which
Before the reform, three types of schools existed in Chile: public
voucher schools homogeneously skim-off the ‘‘best’’ public
schools (accounting for 80% of the enrollment), private subsidized
school students, we find that, as a sector, voucher schools serve
(14%) and private fee-paying schools (6%). Both public and private-
a broad cross-section of the population, but each individual
subsidized schools were free and funded by the government. The
voucher school is characterized by high homogeneity in the
latter type of school received a lump-sum subsidy, substantially
socioeconomic status (SES) of its student body. This configura-
smaller than the per-student spending in the public sector. Most of
tion, we suggest, is contingent on the institutional design of the
them were Catholic and operated as a form of charity ).
Chilean voucher system. Until recently, the Chilean voucher was
Fee-paying private schools charged high tuition fees and served the
flat, i.e. it did not vary with family socioeconomic resources; and
Chilean elite. The 1981 reform sparked the emergence of a new
voucher schools were allowed to select students at will. This
sector, which we will call ‘‘private-voucher’’ to distinguish it from
configuration, we argue, provides the incentives and the means
the private-subsidized institutions that existed before. In the new
for private-voucher schools to specialize in different market
system, a per-pupil subsidy is paid by the government to all
niches. We then address the question about socioeconomic
schools – public or private – participating in the voucher system. In
distribution of achievement between and within schools in the
contrast to US experiences, in which the subsidy is given directly to
private-voucher and public sectors. We find that the association
the family, in the Chilean design funds are allocated directly to the
between individual SES and test scores is slightly stronger in the
school selected by the family based on the number of students
private-voucher than in the public sector—signaling a slightly
enrolled, a system known as ‘‘funds follow the student’’ (
more unequal distribution of achievement in the former sector. In
It is important to note that a given private-
contrast, the association between the school’s aggregate family SES
voucher school receives the same per-pupil voucher payment as a
of the student body and achievement is more than twice as strong in
municipal school of similar characteristics. Public schools can
the private-voucher sector, resulting in pronounced socioeco-
receive subsidies from municipalities, with the amount transferred
nomic stratification. In other words, the educational achievement
varying according to the financial capacity of the municipality.
of a child attending the private-voucher sector depends consid-
As a result of the voucher reform, a substantial migration from
erably more on the aggregate SES of her school than on her own
the public sector to this new type of school ensued. By 2002
private-voucher schools reached 38% of the enrollment, at the
A final piece of this analysis examines the influence of a
expense of the public sector, which dropped to 53%, by 2004
financing reform introduced in the Chilean voucher system in
private-voucher enrollment had reached 41%. Students who
1993. This reform allowed private-voucher primary and high
migrated to the private-voucher sector were, on average, of higher
schools (and public high schools) to charge add-on fees to parents
socioeconomic status than those who remained in the public
to complement the government voucher. While supporters of the
sector, suggesting that sorting followed the voucher reform
parental tuition fees argue that they contribute needed funds to
education, critics warn that they may exacerbate educational
Private-paid schools were conspicuously unaffected by this
stratification. If private-voucher schools use add-on fees to select
transformation. Their fees were, on average, five times the per-
economically advantaged families, and use tuition resources to
student voucher. As a result these schools did not enter the
offer education of better quality, add-on fees may explain the
competitive educational market created by the reform. They
strong association between aggregate family SES at the school level
remained serving a small group of high-income families and do not
and achievement in the private-voucher sector. We analyze the
constitute a reachable alternative for the large majority of
influence of tuition funds levied on parents on educational
Chileans. For this reason, we do not include this type of school
outcomes in private-voucher schools. We find virtually no
in our analysis, concentrating instead on the public and private-
association between parental add-on fees and test scores after
voucher sectors that serve more than 90% of the Chilean
the school-level SES is accounted for. In other words, the economic
resources contributed by families to voucher schools reflect the
Public schools are everywhere in the country; however, the
ability to pay of the student body, but they do not appear to
distribution of private-voucher schools is uneven throughout the
country. In 10% of municipalities, private-voucher enrollment
Our paper proceeds as follows. The next section describes the
stands at more than 50% but nearly 63 out of 345 municipalities,
Chilean voucher system, evaluates extant research on the Chilean
mostly rural and poor, have no private-voucher schools at all.
case, and introduces the question about the socioeconomic
Voucher schools are allowed to operate as for-profit institutions,
stratification of achievement within and between schools. Section
and about 70% of them do so. In terms of religious differentiation,
three introduces the data, variables, and methods. Section four
35% of them are religious, mostly Catholic, institutions (
presents the multilevel analysis of the social distribution of
achievement between and within schools in the public andprivate-voucher sectors and of the role of add-on tuition in the
1 As a robustness check we reproduce all analyses including students in private
private-voucher system. The final section concludes and discusses
non-voucher schools. The results for private-voucher and public schools are nearly
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
Since 1990, after the reestablishment of democracy, the Chilean
These institutional features of the Chilean voucher system
government has devoted substantial resources to improving the
likely promote socioeconomic stratification. The literature indi-
quality and equity of educational outcomes, and has implemented
cates that low-SES students have, on average, lower educational
targeted programs focused on the poorest, lowest-performing
performance and are usually more demanding in terms of
voucher system – ability to choose and competition between
As a result, a flat voucher provides strong incentives for
schools – have, however, remained intact for the last quarter-
private-voucher schools to select socioeconomically advantaged
students to lower their costs, while regulations about studentselection allow them to do so. Furthermore, rigid regulations in the
2.1. Institutional arrangements and educational stratification in the
public sector prevent dismissing low-performing educators and
school principals, providing incentives for high-resource, motivat-ed families to search for alternatives in the voucher sector. The
The notion of ‘‘a’’ voucher system is misguided insofar as
‘‘shared financing’’ system may contribute to stratification by
institutional arrangements shape the outcomes of the specific
providing an additional avenue for voucher schools to select
students based on their socioeconomic resources and preventing
). Four institutional features are relevant in the Chilean case:
access of low-income students to private-voucher schools that
the amount of the per-student voucher, rules about admission and
charge fees. Even though by law schools that charge fees must
expulsion of students, teachers’ regulations, and alternative
provide scholarships for low-income students, the law requires
only between 5% and 10% of the amount of the fees charged to be
Since its inception, the Chilean voucher has provided a flat per-
student subsidy without adjustments for students’ socioeconomic
In 2008, a law was passed that implemented two important
changes to the Chilean voucher system. The law established an
schools can establish their own admission and expulsion policies,
extra per-student subsidy for economically disadvantaged stu-
whereas public schools have to accept all applicants unless they
dents (as determined by the Ministry of Education), and for schools
are oversubscribed and constitute, effectively, suppliers of last
with a high concentration of disadvantaged students. This change
resort. Evidence shows that private-voucher schools intensively
emerges from the recognition that it is more expensive to educate
use selection mechanisms such as entry exams and parental
low-resource students and it effectively implies transforming the
interviews to shape their student bodies (). A survey of
flat voucher system into a means-tested one. In addition, the law
4th grade parents found that 44% of voucher schools give
prohibited the use of parental interviews and admission tests to
admission exams, and 36% request parental interviews, indicating
select students among participating schools. Although it is too
that many, but not all voucher schools select their students (
early to examine the consequences of these recently implemented
changes, we discuss their potential effect for the stratification of
Thirdly, there are differences across school sector in terms of
educational achievement in light of our findings.
teachers’ contracts and regulations. Public school teachers aregoverned by special legislation (the Teacher Statute), involving
2.2. Extant research on the Chilean voucher system
centralized collective-bargaining, with wages based on uniformpay-scales independent of merit, making it nearly impossible to
Evaluations of the Chilean voucher system have focused on two
dismiss under-performing educators. Private-voucher schools, in
issues: the relative effectiveness of private-voucher vis-a`-vis
contrast, operate as private firms with flexible criteria for
public schools, and the effect of school competition on student
personnel recruitment, dismissal and promotion.
academic outcomes. Lacking randomized designs, researchers
Finally, public and private-voucher schools differ in the ability
have addressed the first question by comparing the achievement of
to raise additional funds. A 1993 reform allowed primary and
students who attend public and private schools with controls for
secondary private-voucher schools (but only secondary public
their observed and (more tentatively) unobserved characteristics.
schools) to charge ‘‘add-on’’ fees to parents to supplement the
Given that achievement data was available at the school but not
government voucher, under a withdrawal schedule that reduces
the individual level until 1997, early studies of relative effective-
the subsidy as parental fees increase. This system – known as
ness across school sector used aggregate school averages.
‘‘shared financing’’ (financiamiento compartido in Spanish) –
concluded that voucher schools did not perform
expanded rapidly from 16% of the voucher sector enrollment in
better than public schools given similar resources.
1993 to about 80% in 1998, stabilizing thereafter.Private-voucher
found that when sufficient control variables are
schools differ in the amount of fees they charge. In 2002, 20% of
added, there are no consistent differences in achievement between
them were free, 44% charged less than nine dollars per month, 29%
the public and private-voucher sectors. Moreover,
charged between 9 and 17 dollars, and the remaining 27% charged
found that public schools have advantages in educating students
between 17 and 68 dollars (the government subsidy is fully
from disadvantaged family backgrounds.
withdrawn at 68 dollars). Furthermore, the supply of fee-charging
Availability of individual-level data since 1997 induced a new
voucher schools varies across the country. Based on the Ministry of
generation of studies which include controls for students’
Education’s school directory, 2% of municipalities have only fee-
resources and attempt to account for selection into different
paying voucher schools, 57% have both free and fee-paying, and
school sectors. Most studies using individual-level data found that
41% have only free voucher schools. Supporters of the ‘‘shared
students attending voucher schools have slightly higher educa-
financing’’ system claim that it brings badly needed resources to
tional outcomes (about 0.15–0.2 standard deviations in test scores)
education, allows targeting public resources to the poorest schools,
than those from public schools, net of individual attributes
and promotes parental involvement critics worry that
it furthers socioeconomic sorting in an already unequal system
students and a novel identification strategy, found that private-voucher education leads to small (4–6% of one standard deviation
in test scores), sometimes not statistically significant differences in
Even though public high schools are allowed to charge parental fees, very few
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
The second line of research has attempted to identify the effect
achievement substantially varies across school sector. Scores are
of competition between schools on students’ achievement.
lowest in the public sector – the average of 235 is almost a half
standard deviation lower than in the private-voucher sector (254)
that private-voucher schools skim-off more advantaged families
– while private fee-paying schools serving a small number of elite
while relegating disadvantaged ones to the public sector, and that
families average scores of 298 places them at a far distance from
the net aggregate effect of competition on student performance is
both public and private-voucher institutions.
A less-explored dimension of socioeconomic stratification is
found that greater competition significantly
that which occurs across schools within each sector. As a preliminary
raises test scores, although the endogenous entry of voucher
examination of the role of schools as units of stratification in the
schools into local markets is a lingering concern.
Chilean voucher system, we partition the total variance in family
In sum, the most recent estimated effects of private-voucher
SES into its between-school and within-school components. When
education on academic achievement are much lower than those
we consider the total population of 4th graders, the proportion of
obtained by the previous literature on Chile. The influence of
SES variation that occurs between schools is extremely large in
competition on students’ achievement remains very much an open
Chile, reaching 62%. This indicates that the school is a pivotal unit
of stratification. However, when we examine the variance withinand between schools across school sectors, substantial differences
2.3. Socioeconomic stratification across school sector in Chile
emerge. First, the amount of variance between schools substan-tially drops—an expected finding insofar as sector organizes
With this background information, we now provide introduc-
socioeconomic inequality in the Chilean educational system. In
tory information about differences in economic status and
addition, substantial differences across sectors emerge. The SES
educational achievement across school sector. presents
variance that is between-schools is only 24% in the public sector
the distribution of school sector by household SES decile for
but it reaches 47% in the private-voucher one. In other words,
Chilean 4th graders. SES combines standardized measures of
while the voucher sector serves a diverse population, voucher
mother’s years of schooling, father’s years of schooling and total
schools are socioeconomically homogeneous—some of them
family income to provide a comprehensive description of family
appear to concentrate better-off families, while others focus on
resources. shows the profound socioeconomic stratifica-
poor communities. This descriptive evidence qualifies the claim
tion in the Chilean educational system. Private fee-paying schools
that private-voucher schools uniformly skim off more advantaged
serve the upper class, with 94% of enrollment coming from the two
students, and suggests a more complex configuration in which
wealthiest deciles. Public schools mostly serve the lower and the
private-voucher schools specialize in distinct niches of the market
lower-middle class, with two-thirds of their students coming from
in order to accomplish their diverse economic and educational
the bottom half of the SES distribution. Private-voucher schools
recruit broadly from the middle and upper-middle strata. There is,
This evidence introduces a central question of our study: what
however, substantial socioeconomic overlap between the public
is the association between individual-level and school-level
and private-voucher sectors—both sectors recruit about two-thirds
socioeconomic resources and students’ achievement across school
of their students from the middle six SES deciles.
sector? While much research explores the association between
The second panel in compares educational achievement
individual-level SES and achievement, the aggregate level of SES
across sector. The metric is math and language test scores in a
resources in the school may strongly shape test scores, contribut-
national standardized test (Sistema de Medicion de la Calidad de la
ing to the socioeconomic stratification of achievement. The
Educacion SIMCE, in Spanish) administered by the Ministry of
association between school-level SES and achievement is de-
Education to 4th graders in 2002. The test scores are standardized
scribed as a contextual or compositional effect, to highlight the fact
to have a mean of 250 and a standard deviation of 50. As expected
that it emerges from the socioeconomic makeup of the school
given the different socioeconomic makeup of their student bodies,
body, net of the influence of individual socioeconomic resources.
An important US-based literature has explored contextual
effects of SES on educational achievement and its variation across
Table 1Enrollment in school sector by family SES decile (percent distribution) and test
school sectors. This literature is mostly concerned with the
scores across school sector. 4th graders, Chile
difference between Catholic and secular public schools. Early workby Coleman found that Catholic schools have a higher mean and a
more equitable distribution of achievement within schools ). Subsequent analyzes
support this result, which suggests that the ‘‘Catholic advantage’’ is
accounted for by aspects of the normative environment and
academic organization such as a better disciplinary climate and
). Other studies qualify this finding, indicating that differences
The literature comparing Catholic and public schools in the US
has also found that the association between aggregate school-levelSES and achievement is relatively similar in Catholic and public
We hypothesize that, in contrast to the US case, the association
between school-level SES and test scores may be stronger in the
private-voucher than in the public sector in Chile, resulting in an
Source: Authors’ calculations, based on the SIMCE standardized test and SIMCE
overall stronger stratification of achievement in the former sector. We
parental questionnaire, 4th grade students, 2002.
base this hypothesis on the institutional characteristics of the
Family SES obtained from a factor analysis of mother’s years of schooling,
father’s years of schooling and total family income.
Chilean voucher system. The ‘‘shared financing’’ system allows
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
private-voucher schools to extract resources from families,
nomic resources. School-level SES is obtained by averaging
potentially inducing a strong association between mean family
individual-level SES within school. Given that the SIMCE is a
SES and students’ outcomes. The more flexible regulations in the
census rather than a sample of schools, this variable provides a
private-voucher sector may enhance these schools’ capacity to
very precise measure.We add school-level controls based on the
translate the economic advantage of the families they serve into
educational production function literature
achievement. For example, private-voucher schools serving
). They include urban/rural location of the school, teachers’
wealthier families may be able to attract better teachers than
years of experience, student-teacher ratio, school size (natural log
schools serving more deprived populations, successfully capital-
of the number of students enrolled in the school), the standard
izing on the resources of their student body. Importantly, the
deviation of family SES within school as a measure of diversity in
ability and incentives of private-voucher schools to select their
the socioeconomic resources of the student body, and a dummy for
student body may also result in a strong contextual effect of SES. If
religious private-voucher schools. Unfortunately, no variables
private-voucher schools recruit students based on attributes
capturing schools’ normative environment or organizational
correlated with SES such as ability, cultural capital, or motivation,
practices exist to date in the data. present
their selection of students may result in a stronger contextual
descriptive statistics at the individual and the school levels across
effect of SES, driven by these attributes.
In general, we expect a closer association between the
socioeconomic composition of the students’ body and achievement
in the private-voucher sector than in the public one insofar asinstitutional regulations leave ample room for sorting and impose
The analysis is based on a two-level hierarchical linear model
less redistributive constraints on private-voucher schools. In what
(HLM). The first-level units are students (within-school model),
follows we examine whether schools are important units of
and each student’s outcome is represented as a function of a set of
stratification in the Chilean voucher system. We test the
individual characteristics. In the second level (school-level model)
hypothesis that the contextual effect of SES is more pronounced
the regression coefficients in the level-1 model are treated as
in the private-voucher sector, and examine whether this is
outcome variables hypothesized to depend on specific school
accounted for by the amount of parental add-on funds charged
characteristics. The HLM methodology explicitly recognizes the
and other school-level characteristics.
clustering of students within schools and allows simultaneousconsideration of the association between school factors and
average school achievement; the relationships between individualcharacteristics and outcomes, and the variation across schools in
The analysis is based on merged data from three sources. The
the relationships between individual characteristics and outcomes
first one is the SIMCE (Sistema Nacional de Medicio´n de la Calidad de
la Educacio´n—Educational Quality Measurement System), stan-
dardized tests in math and language. We utilize the 4th grade
But the allocation of students to school sector is not random and
(2002) and 8th grade (2004) SIMCE dataset to evaluate our
depends on unobserved attributes, such as motivation, ability, and
hypotheses in different grades, years and subject matters. The
ambition, which are correlated with educational outcomes. We
dataset is compiled by the Chilean Ministry of Education and it
control for unobserved selectivity into school sector by estimating
includes the entire population of public and private-voucher
a two-step model The first step is a choice model
schools and their students (5204 schools and 196,212 students in
in which the dependent variable is the type of school attended by
2002; 4888 schools and 173,907 students in 2004). The second
the student. The model considers that each student has two
data source is a survey of parents of the students who took the
choices—to attend a private-voucher school or a public school. In
SIMCE tests. This questionnaire provides information about the
order to be correctly identified, the choice model must contain at
socioeconomic characteristics of students, including family income
least one variable that is uncorrelated with the error term of the
and parents’ education. The third source of data is administrative
records from the Ministry of Education, which we used to produce
satisfy the exclusion restriction, we use the supply of schools of
several school-level characteristics, including school sector, school
different sectors in the municipality where the family lives, i.e. the
enrollment, teachers’ years of experience, the religious affiliation
number of public and private-voucher schools per squared-
of schools, and the amount of add-on tuition charged by private-
kilometer in the students’ municipality (for a similar strategy
voucher schools, which were merged to the SIMCE datasets.
see ). As it is conventional, the inverse mills-ratio
The dependent variables are the math and language SIMCE
obtained from the choice model is added to the achievement
standardized test scores. The independent variables include
equations to correct for potential selectivity.
characteristics of students and schools. The central predictor atthe student level is family socioeconomic status (SES), obtained
from a factor analysis of mother’s education, father’s education andfamily income, and standardized to have a mean of zero and a
The analysis is organized in four steps. The first step in any HLM
standard deviation of unity. In addition, we control for students’
is the decomposition of the variance in the outcome of interest into
gender (female = 1), number of books at home – a proxy for
its between- and within-group parts. This step estimates a fully
cultural capital and the value of scholarly culture – parental
unconditional ANOVA model, and allows us to compute the
expectations (a dummy coded 1 if parents expect that the child will
proportion of the total variance in math and language test scores
attain post-secondary education). The SIMCE tests do not track
that is between schools across school sector. The second step is the
students over time, so it is not possible to assess school effects on
within-school model. It estimates how student characteristics
achievement gains. In order to control for children’s prior
affect test scores within schools. We evaluate the influence of
achievement, indicator variables for whether the students
family SES, gender, books at home, parental expectations,
attended preschool (preschool = 1), and whether they haverepeated a grade (repeat = 1) are also included.
3 This is a major advantage over alternative databases such as TIMSS and PISA,
The central predictors at the school level are school sector –
whose smaller sample sizes of students and, particularly, schools result in limited
public and private-voucher schools – and school-level socioeco-
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
Table 2ANOVA model. Percent of total variance in SIMCE test scores between schools. 4th grade 2002 and 8th grade in 2004, Chile.
preschool attendance, repetition history, and the selectivity terms
questions focus on comparing schools across sector, we need to
on test scores. The third step presents the between-school model,
control for all independent variables across the entire sample.
which adds school-level characteristics to the previous specifica-
Grand-mean centering accomplishes this objective (e.g.
tion. This step allows us to address three questions: what is the
relationship between individual-level and school-level SES and
variation in individual-level coefficients across school sector. We
educational achievement? Do the individual and the contextual
find significant variation across sector for family SES and parental
effect of SES vary across school sector? And, is the contextual effect
expectations (p < .001) only, and allow for such variability by
of SES accounted for by school-level characteristics and resources?
adding cross-level interaction terms.
The final step of our analysis evaluates the association between
Each student-level characteristic is significantly related to the
parental add-on tuition fees and students’ test scores in the
outcome in the expected direction and results are strikingly similar
private-voucher sector. It examines whether, net of individual and
across grades. Boys perform better in math and worse in language,
contextual effect of SES on achievement, parental fees contribute
signaling a ‘‘gender division of learning’’ similar to most countries
in the world (e.g. ), which increases from 4th to 8th grade. Books at home and parental expectations display a positive
correlation with achievement, with a larger influence of expecta-tions found at public than at private-voucher schools in 4th grade,
4.1. Partitioning the variance in math and language test scores
and no differences across school sector in 8th grade. Havingrepeated a grade has an expected substantial negative association
Calculations indicate that about 20% of the variance in students’
with test scores. Note that with the exception of gender, the
test scores is between-schools, a proportion virtually identical
patterns of effects are nearly identical for math and language,
across test subjects and grades. Central to our question, the
indicating that the results are not an artifact of a particular subject
proportion of test score variance that is between-schools differs
substantially across school sector. It reaches approximately 27% inthe private-voucher sector, but only 14% in the public sector,
consistently across subject matter and grade. Put another way, it ismuch more common that the worst student at a ‘‘good’’ school will
We now consider the association between school-level and
score lower than the best student at a ‘‘bad’’ school in the public
individual-level SES and test scores across sectors. The first school-
sector than in the private-voucher one. This renders the school a
level model (Model 2 in evaluates the gross
crucial unit of stratification of achievement in the private-voucher
association between the mean school SES and achievement across
sector, without controls for school-level characteristics. Thesecond one (Model 3) adds school-level characteristics. We first
note that adding indicators for school sector and mean SES at theschool level in Model 2 results in a large decrease in the between-
display models predicting language and math
school variance in the test scores. As reported by
test scores for 4th graders and 8th graders, respectively. Model 1
the decline in unexplained variance in test scores is about 20% (as
presents the coefficients for the individual-level model capturing
measured by the decline in b0 between Models 1 and 2). When
the association between students’ SES and test scores. This and the
additional school characteristics are included in Model 3, only a
following models account for non-random selection of students
slight additional reduction is obtained (of about 5%). In brief, school
into school sector by adding the inverse-mills ratio (IMR) terms
sector and socioeconomic composition of the student body
obtained from the choice equation, (reported in
accounts for a substantial portion of the test scores variance.
for 4th and 8th grade, respectively). All independent variables are
Net of sector and socioeconomic status, school resources and
centered at their grand means, except for indicator variables that
demographic characteristics account for little additional variation
use the natural metric. As suggests, students who attend
private-voucher schools differ from those who attend the public
Moving to the central question of our study, we examine the
sector in terms of socioeconomic status. Given that our research
relationship between individual-level and school-level SES and
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
Table 3AHLM model of achievement, language and math 4th grade, 2002. Fixed effects.
No fees (omitted category)Parental fees LT $9
Notes: Standard errors in parenthesis. References dummy: urban schools, non-religious schools, male students, parents expect the student will only finish high school, no add-on fees. PV: private vouchers schools. IRM is the inverse-mills ratio obtained from the choice equation ().
test scores. We find that the positive association between student
associated with a 1-unit increase in school-level SES are less than
SES and test scores is slightly stronger in the private-voucher
10% in the public sector and approximately 35% in the voucher
sector than the public one. In other words, a student’s achievement
sector. These differences are substantial, and they signal a
is less determined by his/her socioeconomic status in the public
pronounced stratification of achievement in the private-voucher
than in the private-voucher sector. The difference is statistically
schools: ceteris paribus, students who attend a high-SES voucher
significant but small in 4th grade and statistically insignificant in
school will perform much better than those in low-SES voucher
8th grade. Net of students’ SES, the association between school SES
and test scores is positive in both sectors but it is much stronger in
The sizable socioeconomic stratification of achievement in the
the private-voucher sector. Among 4th graders, a 1-unit increase in
private-voucher sector may emerge from school-level resources
average school SES results in an increase in test scores of five points
and characteristics. To address this possibility, we include school-
in the public sector, and about 20 points in the private-voucher
level attributes in Model 3 of , including rurality,
sector. Given that the standard deviation of SIMCE test scores is
student-teacher ratio, teachers’ experience, SES standard devia-
around 50; this implies an improvement of 10% of a standard
tion, school size, and religion. The answer is clear: these factors do
deviation in the public sector, but a high 40% in the private-
not account for the large contextual effects of SES in voucher
voucher sector. Among 8th graders, the comparable increases
schools. The contextual effect remains almost twice as large in the
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
(although teacher–student ratio is not significant among 8th
HLM model of achievement, 4th grade, 2002, random effects.
graders). Interestingly, the standard deviation of family SES
within the school has a positive influence on achievement in thepublic sector—this suggests that socioeconomic diversity within
the school is not detrimental, and it may even be beneficial for
learning. We speculate that this may result from the advantageous
effects of having a group of high-resource students in disadvan-
taged schools, probably driven by the influence of these students
and their families on teachers’ expectations and peer interactions.
The main finding of this analysis indicates that contextual effect
of SES is much stronger in the private-voucher as in the public
sector. Based on Model 3 in the contextual effect of SES in
the public sector is about 20% of a standard deviation of test
scores—slightly stronger that the influence of individual-level SES.
In contrast, in the private-voucher sector the contextual effect of
SES reaches 40% of a standard deviation, almost twice as much as
the individual-level SES. This benefit is substantial—it compares
with a four-decile increase in family-level SES, or to almost 300
additional books at home. Among students attending the private-
voucher sector, the aggregate socioeconomic resources of their
school are much more consequential for achievement than their
own family SES. This finding supports the hypothesis that voucher
schools are more able than their public counterparts to ‘‘convert’’,
unmodified, the socioeconomic advantages of their student bodies
into achievement gains. Rather than leveling the playing field,
private-voucher schools produce a distribution of educational
achievement that closely mirrors the socioeconomic resources of
The substantial association between school-level SES and test
scores in the private-voucher sector may be accounted for by add-
voucher sector as in the public one, net of school characteristics.
on tuition fees paid by parents. The strong contextual effect of SES
This finding holds for both grades and both test subjects. The
in the private-voucher sector may reflect the ability of schools to
comparison between Model 2 (without school-level controls) and
extract additional resources from better-off parents via add-on
Model 3 (adding school-level controls) gauges the extent to which
tuition and translate these resources into higher educational
the contextual effect of SES is accounted for by school-level
achievement. If this hypothesis is true we should observe that the
attributes. The answer varies across sector. In the private-voucher
contextual effect of SES diminishes or disappears altogether after
sector, the contextual effect of SES declines only by about 20% after
controlling for the amount of add-on tuition charged by the
controlling for the influence of school size, rurality, student–
school. Alternatively, tuition fees and school-level SES may have
teacher ratio, teachers’ years of experience and religious school. In
independent beneficial effects on achievement, indicating that
the public sector, in contrast, the contextual effect of SES increases
the resources provided by tuition add to the benefits associated
by about 50%. This increase suggests that one or more school-level
with the socioeconomic makeup of each school. This hypothesis
variables work as suppressors of the socioeconomic stratification
will result in significant achievement gains associated with higher
across public schools. Step-wise regression models (not shown,
tuition, without decline in the influence of school-level SES. A
available from the authors upon request) indicate that the variable
third alternative suggests that private-voucher schools that
operating as a suppressor is the indicator for rural school. Rural
charge higher tuition may be able to select higher-SES families,
schools display much higher achievement than expected given
but tuition fees may not have a positive influence on achievement
their SES levels, so controlling for rural residency results in a
net of the average socioeconomic resources of the families
stronger influence of aggregate SES resources at the school level on
selected by the school. If this third hypothesis is true, we should
achievement in the public sector in the Chilean educational
observe that the positive association between tuition fees and
system. Consistently, holding socioeconomic and other character-
achievement declines or disappears after controlling for school-
istics of the students constant, rural schools perform better than
their urban counterparts by 20% of a standard deviation, a finding
To examine these alternative hypotheses, the last columns in
that is consistent across the public and private-voucher sector. This
(Model 4) add tuition fees to the model. We
is likely accounted for by the government programs in place since
measure parental add-on tuition as a set of dummies, distinguish-
the mid-1990s, which provide substantial additional financial and
ing four ordered categories: no tuition fees, monthly fee of less
pedagogical assistance to public rural schools (
than nine dollars, 9–17 dollars, and 17–68 dollars, with ‘‘no
tuition’’ as the reference category. This formulation allows us to
In line with previous research on the Chilean voucher system,
capture potential non-linearities in the association with test
we find that religious private-voucher schools feature higher
achievement than secular ones with an average advantage of 10%of a standard deviation in test scores (Schoolswith lower teacher–student ratios and more experienced teachers
4 Alternative models were estimated with a linear formulation of add-on tuition
perform better, a pattern that is uniform across school sector
fees. Results are substantively identical to those presented here.
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
Table 4AHLM model of achievement, language and math 8th grade, 2004. Fixed effects.
No fees (omitted categories)Parental fees LT $9
Notes: Standard errors in parenthesis. References dummy: urban schools, non-religious schools, male students, parents expect the student will only finish high school, no add-on fees. PV: private vouchers schools. IRM is the inverse-mills ratio obtained from the choice equation ().
After controlling for tuition fees, the contextual effect of SES
nomic makeup of the student body selected by each school has
declines marginally for 4th graders and remains unmodified for
been accounted Our finding is all the more striking if we
8th graders, indicating that parental fees do not account for the
consider that, net of their socioeconomic resources, families who
beneficial effect of school-level SES on test scores. This result is
are willing to pay fees may be positively selected on unobservables
consistent with previous research, which has reported no
(if they hold education in higher value or are more motivated),
differences in performance between students in private-voucher
which will result in our overestimating the association between
schools that charge add-on fees and those that are free
parental tuition fees and achievement.
Furthermore, the association between tuition fees andtest scores, net of school-level SES is very small and statisticallyinsignificant except for one category ($9–17 monthly fees) in 4th
Note that parental fees charged by private-voucher schools do not fully
translate into school revenue because the amount of government is reduced as
This evidence is consistent with the third hypothesis. It
tuition add-on tuition fees increase. This reduction is, however, very small—it is 0%
suggests that financial contributions by parents are not associated
of the subsidy up to U$9 of add-on fees, 10% between U$ 9 and 17 and 25% between
with gains in students’ achievement after the aggregate socioeco-
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
stronger – twice as much – in the private-voucher than in the
HLM model of achievement, 8th grade, 2004, random effects.
public sector, leading to a pronounced socioeconomic stratification
of achievement. In other words, for students attending private-
voucher schools, their educational achievement is more closely
related to the aggregate SES of their school than to their own
family’s socioeconomic resources. These findings are strikingly
consistent across grades (4th and 8th) and test score subject (math
and language) suggesting that they identify a general attribute of
voucher schools rather than idiosyncratic patterns.
One likely mechanism for the strong contextual effect of SES
on test scores in the private-voucher sector is the add-on fees
that these schools have been allowed to charge since the 1990s.
By imposing fees, schools can select better-off families and
translate the additional tuition funds into higher educational
achievement. Our findings are not consistent with this hypothe-
sis. We find that the contextual influence of SES on test scores
does not decline after accounting for add-on fees, and that net of
school-level SES, the amount of tuition fees levied on parents is
not associated with higher achievement. In sum, the financial
resources contributed by parents do not appear to translate into
higher test scores once socioeconomic resources at the school
Why is that private-voucher schools that charge add-on fees are
able to extract resources from parents if their students do not
outperform free private-voucher schools, net of individual
resources? One possible answer is that parents care about peer
socioeconomic makeup in itself, regardless of achievement (see
parents may be able to assess average school performance, but not
the value added by the school. Given the strong correlation
between socioeconomic status and students’ performance (e.g.
choosing a high-SES schools is a rationalstrategy to maximize their children’s achievement. Even thoughour research design does not allow us to formally test whether
add-on tuition fees induce sorting across schools, our findingssuggest that the ‘‘shared financing’’ system may provide a vehicle
Virtually all research on the Chilean voucher system focuses on
for socioeconomic stratification across schools, which contributes
differences between school sectors—in particular, the relative
to the inequality in test scores without improving the overall level
effectiveness of private-voucher versus public schools. In contrast,
this paper addresses the socioeconomic distribution of achieve-
Further exploring why the contextual effects of SES matter so
ment within and between schools across school sectors. We examine
much in the private-voucher sector – substantially more than in
educational achievement measured by standardized math and
the public sector – is also an important task for future research. A
language test scores among 4th and 8th graders using a
rich literature on school effects suggests diverse pathways of
hierarchical linear methodology, and accounting for non-random
influence: aggregate family SES at the school level may be a proxy
selectivity of students into school sector.
for beneficial peer interactions, teachers’ expectations, school
The basic premise of this study is that schools are important
normative climates, curriculum, basic infrastructure resources, or
units of educational stratification among voucher schools. Three
findings emerge from the analysis in support of this premise. First,
a much larger proportion of the variance in socioeconomic status
is between schools in the private-voucher sector than in the public
one. This pattern suggests that while the private-voucher sector
Most likely, several of these dimensions are at play
serves an economically diverse population, each voucher school
and feedback dynamics among them exist. For example, higher-
focuses on a socioeconomically homogeneous community. Given
SES student bodies likely attract more motivated families and
the institutional design of the Chilean voucher system – in
provide an incentive for schools to select them. High concentration
particular, a flat voucher, independent of students’ need, and the
of more advantaged families may induce a normative environment
ability of private-voucher schools to select students according to
more conducive to learning. This, in turn, may increase the ability
the criteria of their choice – we interpret this finding as suggesting
of better-off schools to attract more capable and motivated
that voucher schools use of the flexibility provided by the
students and teachers, in a dynamic that widens the socioeco-
educational regulations to shape their student body and manage
nomic gap in achievement across schools, creating unequal
their teaching staff, thereby specializing in distinct market niches
to accomplish their diverse financial and educational objectives.
Disentangling the mechanisms driving the strong contextual
The substantial variation in socioeconomic makeup of the
effect of SES in private-voucher schools has important policy
student body across private-voucher schools raises the next
implications. If school-level SES affects voucher school students’
question: does school-level SES matter for test scores, net of
achievement largely because of its relationship to potentially
student-level resources? The answer is a clear yes. The association
alterable school organizational features, resources, or practices
between aggregate school-level SES and test scores is much
such as curriculum, teachers’ expectations or infrastructure, then
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
socioeconomic stratification itself may not be an important issue.
none of the school-level variables currently available in the data
Policies targeted to increase school resources and to reform school
adequately captures organizational and normative features at
structures may go a long way towards addressing the substantial
the school level. Obtaining such data is, however, possible in
socioeconomic achievement gap in the private-voucher sector. If,
Chile given the good educational data collection infrastructure
in contrast, the contextual effect of SES cannot be traced to school
that exists in the country. The SIMCE test is a census of students
characteristics potentially modifiable by policy, then peer effects
and schools administered annually to pupils of a specified grade
emerging from socioeconomic segregation itself may be a concern
level with a schedule that, since 2005, gives the SIMCE test every
year to 4th graders and rotates between 8th, and 10th grades. It
mate factors explaining contextual effects of SES are school
already includes parental, teacher, and principal questionnaires,
organizational features, these factors may depend on the social
to which inquiries about normative and organizational char-
makeup of the students attending each school. For example,
acteristics of schools can be added at minimal cost. Furthermore,
educators and school officials may respond to poor students by
the grade schedule of the SIMCE test can be arranged so that
lowering expectations and offering less demanding curricula. In
individual students can be followed over time providing
this case, socioeconomic stratification may be the fundamental
longitudinal information on students’ test score gains, allowing
cause of the observed socioeconomic achievement gap. As
researchers to capture the value added by the school. These
feasible changes would go a long way to help decipher the
schools respond to the demands and political influence of their
different paths for the strong influence of the socioeconomic
constituents, higher-resource communities may be able to
composition of schools on educational achievement in Chilean
successfully lobby for more resources and reform in their schools.
In such circumstance, reducing the socioeconomic stratification
Finally, the institutional design characteristics of the Chilean
across schools may be necessary for equalization of educational
voucher system are undergoing a substantial transformation. As
mentioned, a recent 2008 law establishes a means-tested voucher
This task transcends the educational system and involves
and forbids private-voucher schools from selecting elementary
addressing residential segregation, which is pronounced in the
school’s students based on entry exams and parental interviews.
Chilean context (). In the U.S., children usually
These measures should alter the incentive structure facing voucher
have to attend schools in the educational system where they live,
schools, reducing the incentives and ability to recruit socioeco-
so that ‘‘school segregation and residential segregation are
nomically advantaged students. These changes could go a long way
inextricably entwined’’ : 795). In the Chilean choice
in reducing the socioeconomic segregation across private-voucher
system, families are formally allowed to enroll their children in any
schools and could weaken the influence of school-level SES on
public or private-voucher school they choose, and the influence of
students’ test scores. Although it is still too early to evaluate this
socioeconomic segregation is less explicit but likely as powerful to
hypothesis, we hope to have provided a needed missing piece for
the extent that no compensation for transportation costs –
understanding of socioeconomic stratification in the Chilean
substantial for poor families – is provided.
universal voucher system, and a baseline to evaluate the
Our analysis shows that school-level characteristics such as
school size, teachers’ experience, rurality, religious schools, orparental add-on fees have a small influence on achievement afteraccounting for the socioeconomic composition of the student
body, and they play almost no role in accounting for theinfluence of aggregate school-level SES on test scores. However,
Table A1Summary statistics all schools and by sector. Chilean 4th graders, 2002.
A. Mizala, F. Torche / International Journal of Educational Development 32 (2012) 132–144
Table A2Summary statistics all schools and by sector. Chilean 8th graders 2004.
Table A3Logit choice model: determinants of attending private-voucher school versus public
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DE1126 FM STEREO · MW (AM) · SW DSP RECEIVER / MP3 PLAYER / DIGITAL RECORDER Operation Manual POWER SUPPLY INSTALLING THE BATTERY 1. Turn off the unit and open the battery cover. 2. Install the provided lithium battery according to the battery polarity. CHARGING THE BATTERY After installing the lithium battery, connect the unit with the provided USB adapt
Drug Interactions and Tuberous Sclerosis Complex: Treatment of Mental Health and Behavioral Issues Individuals with tuberous sclerosis complex (TSC) are at increased risk for several behavioral problems and mental health issues. The most severe is autistic spectrum disorder (ASD), but individuals with TSC appear to be at increased risk to develop depression, anxiety, obsessive-compulsive disorder,