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School
absence and student background factors: A multilevel
analysis
Sheldon
Rothman
Massachusetts Department of
Education
rothman@acer.edu.au
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Abstract
As part of regular collections, South
Australian government schools provide data on students,
including individual student absences during one full term
(usually 10 weeks). These data were analysed to understand
how student absence is affected by student background and
school contexts. A multilevel statistical model of student
absence was developed using data collected in 1997, and
repeated for 1999. This paper presents the findings for
students in primary schools, showing that absence rates for
indigenous students, while higher than the rates for
non-indigenous students, are affected by school factors such
as the concentration of indigenous students in the school
and school socioeconomic status.
student attendance, student
absence, multilevel models, socioeconomic status, indigenous
students
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Abstract
Introduction
Data
Methodology
Models
Results
Discussion
References
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Introduction
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Regular attendance is an
important factor in school success. Students who are
chronic non-attenders receive fewer hours of instruction;
they often leave education early and are more likely to
become long term unemployed, homeless, caught in the
poverty trap, dependent on welfare, and involved in the
justice system (House of Representatives 1996, p. 3).
High rates of student absenteeism are believed to affect
regular attenders as well, because teachers must
accommodate non-attenders in the same class. It has been
suggested that chronic absenteeism is not a cause of
academic failure and departure from formal education, but
rather one of many symptoms of alienation from school.
Chronic absenteeism, truancy and academic failure may be
evidence of a dysfunctional relationship between student
and school, suggesting that schools need to be more
student-centred and supportive of students with different
needs. This argument is supported by research that
highlights significant associations between student
background factors, poor attendance, and early school
leaving (Altenbaugh, et al. 1995; Bryk & Thum 1989;
Fernandez & Velez 1989).
Previous research has concentrated
on students who are "chronic" or "persistent"
non-attenders, examining family, academic and social
background factors related to the student. Other research
has concentrated on schools with high absence rates,
examining student composition, school "climate" and other
organisational factors associated with these rates. What
has been missing is a combination of these two
approaches, because the computational technology has not
been available.
A European perspective on student
absences was provided in a study of absenteeism in 36
high schools in four Dutch cities. Bos, Ruijters and
Visscher (1992) examined aspects of absences for
individual classes over three school days, a Monday,
Wednesday and Friday, covering a total of 8,990 lessons.
They differentiated between truancy (disallowed absence,
one "without a reason that is considered valid by the
school") and allowed absences (one "regarded as valid by
the school"). They found variation by school in the
determination of a truancy, but calculated overall
absence rates of 9.1 per cent, comprising a 4.4 per cent
truancy rate and a 4.7 per cent allowed absence rate.
Truancy rates were lower in pre-university tracks than
vocational education tracks, highest on Fridays, and
tended to be higher later in the school day. Whole-day
truancy occurred more frequently on Mondays. The
proportion of "non-Dutch" students in the school
accounted for 42 per cent of the variance in school
truancy rate. The authors used schools' administrative
data to get a snapshot of truancy, reporting valuable
information about truancy and absenteeism in
general.
DeJung and Duckworth (1986)
reported on a study of absences in two cities in the
western United States. Examining data from six high
schools on class absences rather than whole-day absences,
they calculated absence rates of 15 per cent for the
larger of the two districts, and 10 per cent for the
smaller. When using whole-day absences only, rates were
4.4 per cent for the larger district and 2.8 per cent for
the smaller. The researchers also asked students why they
were absent from individual class periods. Of the 1,200
students in the sample, 20 per cent of students stated
that they had "other things to do," rather than attend
school for a day; illness and personal problems accounted
for less than 10 per cent of absences. Students with very
high absence rates identified parties, drugs and a
general dislike of school for most of their
absences.
Throughout the 1970s, American high
school principals consistently identified poor attendance
as the major problem facing secondary school
administrators. But rather than define poor attendance,
studies concentrated on examining factors associated with
it. Wright (1978) analysed secondary school-level data in
Virginia, surveying schools on their attendance rates and
aspects of the curriculum, organisation and staff. He
found statistically significant differences by location:
urban schools had the lowest attendance rates, then
suburban schools; schools in other areas had the highest
attendance rates. Within these geographical groupings,
different factors were related to attendance rates,
including subject offerings (electives), work programs
for school credit, and age of the teaching
staff.
Reid (1982), using data from an
urban comprehensive school in a disadvantaged area of
Wales, examined social background factors and
self-concept in "persistent" absentees, whom he defined
as students with absence rates of 65 per cent of every
school term, and control groups of matched students, who
were "good attenders, usually making 100 per cent
attendance during an average term." He found differences
in family structure, father's occupation, mother's
employment and occupation, and eligibility for free
school meals. Of the three groups in the study,
persistent absentees also scored lowest on the Brookover
scale of academic self-concept, and lowest on the
Coopersmith scale of self-esteem, with no differences
between male and female absentees.
Two high schools in Ontario,
Canada, contributed data on 54 students to a study to
determine the influence of personal, family and school
factors on absenteeism. Corville-Smith, Ryan, Adams and
Dalicandro (1998) used discriminant analysis to identify
which factors could identify truants. Perceptions of
school and parental discipline and control were found to
be significant factors, as were students' perceptions of
family conflict, academic self-concept and social
competence in class. Unfortunately, their sample was
severely restricted by selection bias: only 27 of a
possible 295 volunteered to participate, and more than
two-thirds were female.
Some researchers have attempted to
examine the influence of attendance on academic
achievement. In 1923, Odell (1923) reported small,
non-significant correlations between attendance and
either academic achievement or intellectual development,
but significant correlations between attendance and
grades awarded by teachers for class work. Finch and
Nemzek (1935) reported that school grades were related to
student attendance for the 1934 graduating class at one
high school in Minneapolis, Minnesota. Kersting (1967)
compared attendance records for the 100 highest achieving
and 100 lowest achieving students in the junior high
school where he was teaching. Comparing these extreme
groups, he found significant differences in attendance.
These studies show that while there may be a relationship
between attendance and achievement, it is very poor
attenders whose achievement is low, but no threshold
absence rate is defined.
Research on student attendance
points to some groups of students whose attendance
record, as a group, is relatively poor, such as the
"non-Dutch" students reported by Bos, Ruijters and
Visscher (1992). For most collections of student
attendance data in Australia, however, such information
has not been available. Most education departments limit
their annual end-of-year collections to absences at the
school level, with no differentiation by any student
factors. In 1997, South Australia began an annual
collection of data on student absences during one
ten-week term. This paper provides an analysis of these
data, supplementing a summary report provided to schools
and education department officials (Rothman
1999).
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Data
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In South Australia,
government schools have the capacity to monitor student
attendance electronically using computers and software.
This software, called EDSAS, allows schools to record the
date, type and reason for each student non-attendance.
Four types of non-attendance can be recorded: whole-day,
morning, afternoon, and late. Sixteen reasons can be
recorded, nine of which count as absences. The others,
such as sport excursions and work experience, are
acceptable reasons for which the student is considered
present. This information can then be matched with
student information to provide a rich picture of
attendance and non-attendance patterns. Available student
information, as provided by the school as unit records
during the midyear census, includes grade (year level),
date of birth, sex, indigenous status, socioeconomic
status, and special need.
The data in this paper were
collected from schools that use EDSAS to monitor student
attendance. For this paper, only whole-day absences for
full-time students were used. When absence rates are
discussed, the sample was limited to those students who
were enrolled at one school for the entire term. The
number of students and schools included each year are
contained in Table 1. Comparative enrolment data are from
the midyear census, conducted each year on the first
Friday on or after 1 August and reported in the National
Schools Statistics Collection (Australian Bureau of
Statistics 1998).
In 1997 and 1998, Term 2 began
after the Anzac Day holiday and was ten weeks long. There
were two Monday holidays&endash;Adelaide Cup Day (Week 4)
and Queen's Birthday (Week 7)&endash;bringing the total
number of school days to 48. Term 2 started one week
earlier in 1999; with Monday holidays for Anzac Day (Week
2), Adelaide Cup Day (Week 5) and Queen's Birthday (Week
9), there were 52 school days.
The data contained in this paper
are from the 1997 and 1999 collections of individual
student absences. To ensure consistency for the analysis,
the files were trimmed to include only primary level
full-time students who attended a single school for the
entire term, resulting in 67,732 students in 304 schools
in 1997, and 84,820 students in 411 schools in
1999.
Because the data are based on
administrative collections, there are limits to the
student-level and school-level variables that are
included. Student-level variables include sex (SEX,
male=0, female=1), indigenous background (ABOR,
indigenous=1), SES (CARD, low SES=1), and grade level
(Reception to Year 7). School-level variables include
location (LOCATION, metropolitan=0, country=1), size
(SIZE), per cent indigenous students (PCTABOR), per cent
low SES students (PCTCARD), and per cent female students
(PCTFEM). Other school indicators (Commonwealth Literacy
Program or Country Areas Program school) were eliminated
because of their similarity to other school-level
variables. Grade level was eliminated because there was
little variation by grade level across schools.
Frequencies and summary statistics for the files are
listed in Table 1.
Table 1. Summary statistics of
variables, 1997 and 1999

a
Location was used as a school-level variable only.
b Absences per student is an unweighted
measure. For the weighted average, see the rate for
student-level variables.
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Methodology
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It was assumed that
individual student absences were influenced by student
characteristics, such as sex, indigenous background and
low socioeconomic status, in the context of the school
the student attended. The relationship among the
variables can be denoted as

at the student level,
and

at the school level. Preliminary
analysis showed that because the percentage of students
by sex is generally within a narrow range for primary
schools, the variable PCTFEM could be excluded from the
model. Each of the student-level variables was
grand-centred around the mean, so that the intercept term
would represent the estimated mean number of days absent
for schools, assuming that each school enrolled students
with all the same student-level
characteristics.
Figure 1. Distribution of number
of days absent per student, 1997 (top) and 1999
(bottom)


Analysis of absences across all
students in all schools showed that the data did not fit
a normal distribution. In 1997, 27.7 per cent of students
had no absences all term; in 1999, 24.4 per cent had no
absences. The high number of zeros in the data (see
Figure 1) meant that a standard transformation could not
be used to approximate a normal distribution. HLM offers
computational options for a dependent variable that
represents counts. The Poisson option in HLM results in a
nonlinear analysis using a hierarchical generalised
linear model (Bryk, Raudenbush and Congdon 1996, ch. 5).
The analysis proceeds adding variables in three stages,
with adjustments at each stage to include only
significant variables. The final model shows how each of
the variables influences a school's absence rate. The
analysis was first done using the 1997 data, with 1999
used as a replication. The following discussion considers
the 1997 analysis; results for 1999 are contained in the
tables. The steps in the analysis are similar to those
followed by Rumberger (1995) in his analysis of
middle-school dropouts.
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Models
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The first step in a
multilevel analysis is to estimate a model with no
student- or school-level variables, estimating the
variances in the dependent variable at the student and
school levels and testing whether there are significant
differences between schools. Transforming the estimate of
the intercept in the HLM analysis, the predicted mean of
the number of absences per school is 3.02 for 1997. The
estimated variance of the intercept term is small (0.091)
but significant. The estimated number of absences per
student would most likely fall between 2.23 and 4.08
[exp(1.104 ± (.091)1/2)], one
standard deviation below and one standard deviation above
the mean.
The next step in the analysis was
the addition of student-level predictors to the model. As
noted above, student characteristics were contained in
three dummy variables: SEX, ABOR and CARD, representing
gender, indigenous background and socioeconomic status,
respectively. Sex was not significant and was removed
from the model and all subsequent analyses. Indigenous
background and socioeconomic status were both
significant, but the estimated variance for SES was
small, so that its effect on the overall model was
minimal. For subsequent analyses, the slope for SES was
fixed; the slope for indigenous background remained
random. Once the model was re-evaluated with only
significant student-level variables and the SES slope
fixed, the estimated parameter variance for the intercept
was smaller than the estimated parameter variance in the
ANOVA with random effects (0.065 versus 0.091).
Controlling for differences in the background
characteristics of students accounted for 31 per cent of
the variance in average number of absences per school
(Table 2, Column 2).
Table 2. Summary of results for
variance explained by HLM models, 1997 and 1999

** Significant at
.01 level.
School-level variables were then
added, first by including school location (metropolitan
or country). Although children live in country or
metropolitan areas, it was decided that location better
described the school rather than its students. There are
many examples of country students enrolled in
metropolitan schools, especially because of the
classification of schools. The Australian Bureau of
Statistics (ABS) classifies statistical local areas
(SLAs) as metropolitan if they fall within a boundary
marked by Gulf St Vincent in the west, Gawler in the
north, the Adelaide Hills to the east, and Aldinga to the
south; Stirling, in the southeastern hills, is also
considered metropolitan. All other parts of the state are
considered non-metropolitan (country), including
communities well within commuting distance to Adelaide.
The addition of location was significant, although it
reduced the estimated parameter variance of the intercept
by only an additional 1.8 per cent. It had no effect on
the estimated parameter variance of the student-level
variable ABOR.
Student composition of the school
was the next set of variables to be added to the model.
This set comprised three variables, PCTABOR, PCTCARD and
SIZE, which were added simultaneously to the intercept
and the student-level variable ABOR (CARD was fixed).
Only PCTABOR and PCTCARD had significant effects on the
intercept, but only PCTABOR was significant on the ABOR
slope. The school size variable, SIZE, was not
significant. The addition of these variables reduced the
parameter variance of the intercept an additional 5.1 per
cent, for a total of 37.8 per cent. When PCTABOR was
added to the slope of ABOR, that parameter's variance was
reduced by 8.5 per cent.
The final model for the 1997 data
was

at the student level,
and

at the school level.
The procedures were replicated for
the 1999 data, with both ABOR and CARD remaining as the
only significant student-level variables with the CARD
slope fixed. The first school-level variable, LOCATION,
was not significant for 1999, and was rejected. Among the
school composition variables, only PCTCARD had a
significant effect on the intercept; no variables
affected the ABOR slope. The addition of student-level
and school-level variables to the 1999 model reduced the
parameter variance of the intercept by 38.9 per cent,
more than the 1997 model and with fewer explanatory
variables. The final model for 1999 was

at the student level,
and

at the school level.
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Results
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The models presented
above have shown that differences in school absence
rates&endash;as represented by the mean number of days
absent per student&endash;are affected by school location
(in 1997) and student composition. Within schools, an
individual student's absence rate is affected by
indigenous background and low SES background. The final
estimates of the effect of each of the student- and
school-level variables are contained in Table 3. The
estimates in the table represent the multiplier effects
at student and school levels.
In the final 1997 model (Table 3,
Column 2), school location made a difference, with
metropolitan schools having a mean absence rate about 8.2
per cent lower than country schools, controlling for the
per cent of students in the school who are indigenous or
from low SES families. That is, for a school in Adelaide,
the school absence rate would be 91.8 per cent of the
rate of a country school with the same student
composition. While this is statistically significant,
across an entire school year it is equivalent to
approximately one full school day. Considering that the
data were collected in Term 2, which is the only term
with Monday holidays, this difference may be explained by
absences for "family/social" reasons&endash;most likely
for travelling over a long weekend In 1999, there was no
difference by location (Table 3, Columns 3-4), when there
were three long weekends.
The school mean absence rate was
also influenced by the percentage of students of
indigenous background and from low SES families. For each
per cent of the total school population who were from
indigenous background, the mean school absence rate
increased by 0.5 per cent. For example, a school's
absence rate increased by 10 per cent if it had an
indigenous percentage of students 20 per cent higher than
another school. A school with 50 per cent indigenous
students would have an absence rate 10 per cent higher
than a school with 30 per cent indigenous
students.
Table 3. Estimates of adjusted
school mean absence rates, indigenous background and
socioeconomic status, primary students

* Significant at
.05 level.
** Significant at .01 level.
a Coefficients represent the estimated effects
on the mean absence rate due to a one-unit change in the
listed variable. Estimates control led for student-level
variables of indigenous background and low socioeconomic
status.
b The intercept term represents the estimated
effect for indigenous background, while the other
coefficient represents the change to the intercept for a
one-unit change in the listed variable.
c The intercept term represents the estimated
effect for low socioeconomic status, which was fixed
across all schools.
Indigenous students, on average,
had higher absence rates than non-indigenous students.
The intercept for indigenous students was allowed to vary
according to the percentage of indigenous students in the
school, and this effect was significant. In a school with
the mean percentage of indigenous students (3.2%), an
indigenous student's absence rate was 60 per cent higher
than the absence rate of a non-indigenous student. For a
school with an above-average percentage of indigenous
students, an indigenous student's rate increased by 1.9
per cent for each per cent above the mean indigenous
population; for a school with a lower-than-average
percentage of indigenous students, an indigenous
student's absence rate was less than 60 per cent higher
than a non-indigenous student's rate. In 1999, no
school-level factors affected the student-level factor of
indigenous background.
While this shows that indigenous
students, on average, were absent more frequently than
non-indigenous students, it also shows that a student's
indigenous background has less impact on non-attendance
than first thought. Summary data in Table 1 showed that
the absence rate for indigenous students was 2.6 times
the rate for non-indigenous students in 1997, and 2.4
times in 1999. The estimates from the HLM analysis show
that when other factors are controlled&endash;such as
school location and the percentage of indigenous and
low-SES students in the school&endash;the effect on the
absence rate decreases to 1.6 in both years. Indigenous
students still miss on average more than 60 per cent more
school than non-indigenous students&endash;equivalent to
about 7 school days across an entire year&endash;but
because this figure is much smaller than originally
calculated using simple means, more reasonable targets
can be set for absence reduction programs for indigenous
students.
In both 1997 and 1999, a lower SES
student had a 20 per cent higher absence rate than a
middle/upper SES student. Thus, if a middle/upper SES
student had missed 5 days during the term, a lower SES
student in the same school would have missed 6. The
simple means showed differences of about 33 per cent; but
controlling for student- and school-level factors, this
difference is reduced. Although there were indications of
interaction between indigenous background and low
socioeconomic status, no significant effect was found to
be significant.
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Discussion
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Absenteeism is believed
to have a major impact on student learning, but just how
absenteeism affects academic achievement has not yet been
explained. The simple examination of indigenous students'
absence rates presents a serious challenge to educators
in Australia, even if there are other factors that
influence what appears to be higher rates. While
indigenous students' absence rates are not as high as
first thought, they are still higher, on average, holding
other factors constant, than non-indigenous students'
absence rates by about 60 per cent. Similar findings
exist for students from lower SES backgrounds: lower SES
students' absence rates are higher than middle/upper SES
students', but the difference is not as great after
controlling for school-level factors.
The finding reported above about
the percentage of indigenous students in a school and its
effect on an indigenous student's absence rate gives
credence to theories stating that educational
disadvantage is exacerbated by concentrations of
similarly disadvantaged students, although this applies
in this analysis to indigenous students only. Is it an
issue of relevance for indigenous students? Schools that
enrol higher proportions of indigenous students are
located in more remote areas of South Australia, and
these schools do have higher absence rates than other
schools.
While differences in absence rates
vary according to student background, this explains only
38 to 39 per cent of the variance; much of the variance
in school absence rates remains to be explained. Some of
this variance may be explained by student factors not
used in the present study, such as those that examine
attitudes toward school, parents' education levels and
previous achievement, among others. School factors that
were not included, such as school organisation,
leadership and age of the teaching staff, may also help
to explain some of the variance (see Bryk and Thum 1989;
Bos, Ruitjers and Visscher 1992; Corville-Smith, Ryan,
Adams and Dalicandro 1998).
This study has highlighted the
importance of choosing an appropriate design for analysis
of school data, especially when the data are gathered as
part of an educational system's administrative
collection. Such data are often used to establish
simplistic benchmarks for the system, and for each
individual site within the system, as part of an
accountability program. While such an approach may be the
ideal because we believe that student background should
not have a negative influence on student achievement, the
reality is that there are still achievement differences
associated with background characteristics. If benchmarks
for attendance are to be set, they must account for some
of the differences between student composition of the
school, otherwise schools may be undeservedly
penalised.
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References
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Altenbaugh, R. J., et
al. (1995) Caring for kids: a critical study of
urban school leavers. Falmer Press, Bristol,
PA.
Australian Bureau of Statistics.
Schools, Australia (Catalogue No.
4221.0).
Tj. Bos, K., Ruitjers, A. M. and
Visscher, A. J. (1992) Absenteeism in secondary
education. British Educational Research Journal,
18, 381-395.
Bryk, A., Raudenbush, S. and
Congdon, R. (1996) HLM: hierarchical linear and
nonlinear modeling with the HLM/2L and HLM/3L
programs. Scientific Software International,
Chicago.
Bryk, A. S. and Thum, Y. M. (1989)
The effects of high school organization on dropping out:
an exploratory investigation. American Education
Research Journal, 26, 353-386.
Corville-Smith, J., Ryan, B., Adams
G. and Dalicandro, T. (1998) Distinguishing absentee
students from regular attenders: the combined influence
of personal, family, and school factors. Journal of
Youth and Adolescence, 27, 629-640.
deJung, J. K. and Duckworth, K.
(1986) Measuring student absences in the high schools.
Paper presented at the annual meeting of the American
Educational Research Association, San Francisco, April
[ED 271 889]
Fernandez, R. R. and Velez, W.
(1989) Who stays? Who leaves? Findings from the ASPIRA
five cities high school dropout study. ASPIRA
Association, Washington, DC.
Finch, F. H. and Nemzek, C.L.
(1935) Attendance and achievement in high school.
School and Society, 41, February 9,
207-208.
House of Representatives Standing
Committee on Employment, Education and Training (1996)
Truancy and exclusion from school. AGPS, Canberra,
p. 3.
Kersting, J. (1967) Absences and
averages. School and Community, 53, February,
17.
Odell, C. W. (1923) The effect of
attendance upon school achievement. Journal of
Educational Research, 8, December,
422-432.
Reid, K. (1982) The self-concept
and persistent school absenteeism. British Journal of
Educational Psychology, 52, 179-187.
Rothman, S. (1999) Non-attendance
and student background factors. Paper presented at the
joint annual conference of the Australian Association for
Research in Education and the New Zealand Association for
Research in Education, Melbourne,
November-December.
Rumberger, R. (1995) Dropping out
of middle school: a multilevel analysis of students and
schools. American Educational Research Journal,
32(3), 583-625.
Wright, J. S. (1978) Student
attendance: what relates where? NASSP Bulletin,
62, February, 115-117.
Acknowledgment
The author gratefully
acknowledges assistance from Professor John Keeves of The
Flinders University of South Australia, and Margaret
Ford, Shirley Dally, Dan Turner and Gary O'Neill of the
Department of Education, Training and Employment. All
content, however, is the responsibility of the
author.
1
A
non-attendance occurs when a student is not present at
the school. For some non-attendances, such as school
sport, camps and excursions, and work experience,
students are considered present, although at a different
site. A student is considered absent for the following
reasons: illness, family/social activities, exemption,
suspension and exclusion without an alternative program.
An unexplained non-attendance is also considered an
absence.
2
Socioeconomic status
is measured according to whether the student is recipient
of a "school card," based on family income. A school card
entitles a student to subsidies for school fees and other
school-related expenses. This variable is dichotomous: a
student either receives or does not receive a school
card. Students with special needs enter into a negotiated
curriculum plan; a student either has a plan or does not
have a plan.
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Rothman, S.
(2001) School absence and student background factors: A
multilevel analysis. International
Education Journal, 2 (1), 59-68 [Online]
http://iej.cjb.net
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