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Neglected Numerators, Drifting
Denominators, and Fractured Fractions: Determining Participation Rates for
Students with Disabilities in Statewide Assessment Programs
NCEO Synthesis Report 23
Published by the National Center on Educational Outcomes
in collaboration with Council of Chief State School Officers (CCSSO) and the
National Association of State Directors of Special Education
Prepared by:
Ron Erickson, Martha Thurlow, &
Jim Ysseldyke
October 1996
Any or all portions of this document may be
reproduced and distributed without prior permission, provided the source is
cited as:
Erickson, R.N., Thurlow, M.L., & Ysseldyke, J.E.
(1996). Neglected numerators, drifting denominators, and fractured
fractions: Determining participation rates for students with
disabilities in statewide assessment programs (Synthesis Report No. 23).
Minneapolis, MN: University of Minnesota, National Center on Educational
Outcomes. Retrieved [today's date], from the World Wide Web: http://education.umn.edu/NCEO/OnlinePubs/Synthesis23.html
Executive Summary
As current educational reform efforts seek to
ensure accountability for all of our nations students, increasing interest is
being placed on the extent to which current assessment practices and programs
include students with disabilities. Developing accurate reporting procedures on
the participation of students with disabilities in large-scale assessment
programs has proven to be difficult, due to a lack of data, differing
definitions of eligible testing populations, and the misalignment of data
collection efforts and data management responsibilities. Specific
recommendations are provided for both policymakers and local practitioners and
administrators to assist in improving our ability to accurately report the
participation of students with disabilities in statewide assessment programs.
These include suggestions to:
Identify students with disabilities in
statewide assessment programs
Standardize procedures for calculating
participation rates
Improve communication between state
special education and assessment offices
Ask good questions about state and
district assessment practices
Help parents understand the importance
of participating in assessment programs
Evaluate current district and state
policies on participation and accommodations in assessment programs
Assessment: A
Cornerstone of Reform
For many school districts and state
departments of education, the 1990s have heralded dramatic and fundamental
change. Local and state education agencies have adopted diverse strategies in
redefining the expectations of their educational systems, and have put forth
myriad conceptual frameworks of goals, outcomes and content standards. The
attention of many policymakers has already begun to turn from discussions about
what students should know and be able to do, to questions about how best to
measure the extent to which students attain these competencies. Consequently,
statewide assessment systems, using both traditional and new methodologies
(e.g., performance assessments and portfolios) have emerged as critically
important components of this reform movement.
Nearly every piece of federal and state
legislation focused on educational reform contains inclusionary language; that
is, standards, goals, assessments and accountability systems are touted as being
for all students. All students are to work toward attaining high standards, and
all are to have access to learning opportunities that will enable them to attain
those standards. Schools, school districts and states are to report on the
progress of all their students, and thus all students are to participate in
assessment programs. Consequently, LEAs and SEAs have been making efforts in
recent years to have all students participate in assessments and to report on
the numbers or proportions who do so. To the extent that there is variability
among states in participation rates, differential exclusion from assessment, or
inaccurate reporting, state and district comparisons are invalid, and policy
decisions based on such results remain questionable.
In this paper, we examine the present
variability in the way states report the participation of students with
disabilities in their testing programs. Many of the conclusions drawn in this
report have emerged from research conducted by the National Center on
Educational Outcomes (NCEO) at the University of Minnesota. The primary mission
of NCEO has been to work with federal and state agencies to facilitate and
enrich the development and use of indicators of educational outcomes for
students with disabilities. To accomplish this mission, NCEO has examined
current educational assessment practices to determine the participation rates of
students with disabilities in national and state assessments, and the current
accessibility and use of data on the results of education for students with
disabilities.
Will All Ever Mean All in Assessment?
An early analysis of nine major national data
collection programs by NCEO researchers (McGrew, Thurlow, Shriner & Spiegel,
1992) revealed that between 40 and 50 percent of school-aged students with
disabilities were being excluded from these nationwide efforts. In large scale
assessments such as the NAEP Trial State Assessment Program of 1990, exclusion
rates among the participating states ranged from 33% to 87% of students with
disabilities. Such variability prohibits valid comparisons between states, and
prevents policy-relevant findings to be drawn about how students with
disabilities are benefiting from their educational experiences.
Students with disabilities have been excluded
from achievement testing programs for several reasons. One primary motivation
for schools and districts to exclude them is the existence of high stakes
statewide accountability systems that compare the performance of schools and
districts, and often make awards or sanctions based on these results. Schools
within such systems are motivated to minimize the number of low-performing test
takers in order to raise their overall test scores. Compounding this problem is
the variability in state and district policies about who gets tested. Zlatos
(1994) examined 14 major urban school districts and found that participation
rates in testing varied from 93% of all enrolled students in Memphis to 66% in
Boston. This system of academic red shirting of students with learning problems
has resulted in a system that perpetuates invalid comparisons among our nations
schools and school districts.
Other reasons for exclusion from testing stem
from the fact that many of the standardized tests currently in use were not
originally designed or normed with any consideration of students with
disabilities. National norms often were established on only samples of students
without disabilities. Furthermore, there have been few studies of the effects of
various testing accommodations on the validity or reliability of testing
instruments. Only recently have federal funds been directed toward research on
these issues. The U.S. Office of Educational Research and Improvement has funded
eight states (and one consortium of states) to investigate issues related to
standards and assessments, particularly focusing on the effects of using
accommodations for students with disabilities and limited English proficiency on
the technical integrity of assessment instruments.
Students with Disabilities in Assessment:
An Emerging Issue
New federal policies have placed pressure on
states to ensure the participation of students with disabilities in their
overall assessment systems. Language within Goals 2000: Educate America Act
(Public Law 103-227) clearly includes students with special learning needs in
its mandate for states to set high standards for all students. Amendments
drafted for the reauthorization of IDEA (Individuals with Disabilities Education
Act) by both the House and Senate specifically mandate the inclusion of students
with disabilities in statewide assessment systems, preferably through regular
assessment systems or through alternative means for those who cannot participate
in the regular testing program. Other pending language within Part B of the Act
stipulates that states will report on the academic performance of students with
disabilities in the same way and with the same regularity as they do for
students without disabilities.
This federal commitment to a fully unified
system of educational accountability has created unique challenges for state and
local policymakers and assessment experts alike. Because of this, in part, much
attention is now being given to examining current testing policies and their
impact on students with disabilities. In a recent literature review of state
level policies on testing participation and accommodations, NCEO staff found
that nearly all states have revised such policies within the past two years
(Thurlow, Scott, & Ysseldyke, 1995a, 1995b).
What We Know (and Dont Know) about
Participation Rates
Since 1991, NCEO has conducted an annual
survey of state directors of special education regarding educational outcomes
for students with disabilities. Specific survey questions have solicited
information on the participation rates of students with disabilities in
statewide achievement testing. Findings over the past four years have indicated
that the participation of students with disabilities in statewide assessments
continues to vary considerably from state to state, with estimates, when given,
ranging from zero to 100%. Furthermore, respondents are unable to provide
estimates of participation for the great majority of the assessments presently
administered. In its 1994 survey of state practices, NCEO found that state
special education directors could report participation rates for only 49 of the
133 assessments used during that year, less than 37% of the total number of
tests in use (Erickson, Thurlow, & Thor, 1995). Since respondents were allowed
to give approximations, it is not known how many of the reported rates were
actually calculated from verifiable data sources.
What is known is how controversial such data
can be. Even though NCEO has consistently verified responses before publishing
its annual survey, each year has brought a new round of questions about the
accuracy of the participation rates being reported. Usually, those questioning
the reports accuracy believe the published rates are too conservative; on
occasion, however, some have insisted the estimates are inflated. Most questions
are raised by state assessment officials whose offices may or may not have been
consulted by the state special education units submitting these estimates.
Why are Participation Rates So Elusive?
On the surface, calculating participation
rates for students with disabilities in statewide assessment programs would seem
to be a relatively straightforward task of dividing one number by another: the
number of students with disabilities who take the test, divided by the
population of all students with disabilities at the particular age or grade
level being tested. Yet states report considerable difficulty when locating
accurate data with which to build this deceptively simple ratio. Reported
problems generally fall into three categories: (1) lack of data on those
students taking the test; (2) differences in determining eligible testing
populations; and (3) misaligned data collection procedures. These issues are
addressed in the following sections.
Neglected Numerators: The Problem of
Simply Not Knowing
Participation rates obviously cannot be
calculated without first knowing who participated in the actual assessment.
Regrettably, this basic information is not routinely collected in the testing
programs of many states. In its 1995 survey of state directors of special
education in the 50 regular and 10 unique states, personnel in 12 responding
states did not know whether students with disabilities could be identified
within their states assessment databases, and those in another 20 states
reported that they definitely could not (Erickson, Thurlow, Seyfarth & Thor,
1996). To further complicate this matter, testing administrators or classroom
monitors may not always know which tested students are receiving special
education services, and therefore cannot provide accurate documentation at the
time of testing.
Drifting Denominators: The Problem of
Eligible Populations
Variability also occurs in the way educators
define the eligible population against which to compare the number of test
takers. Presently, the denominator of any participation ratio may be calculated
in different ways. With so many different policies in place to determine whether
a student with disabilities will participate in any particular assessment, no
standard method exists to report on which such students are being included. In
Figure 1, the number of students found in the inner circle would be the
numerator in calculating a participation rate. All students with disabilities at
the particular age or grade level being tested (i.e., the biggest circle) would
constitute the denominator. However, current assessment policies often exclude
certain subgroups of students with disabilities and leave them literally out of
the equation. Consider the following scenario:
Figure 1. Model for
Determining Participation Rates

An education official is asked for
information on the percentage of students with disabilities who participated
in a statewide fourth grade reading assessment. Checking the aggregated
results, the official discovers that 5000 students participating in the
examination were coded as having an Individualized Education Program (IEP).
This number becomes the numerator. Now the officials attention turns toward
determining the denominator, that is, the population of students with
disabilities against which this numerator will be compared. He knows that
the state assessment program does not test those students with disabilities
attending separate schools, private schools, residential programs,
correctional facilities, or those receiving homebound services. These
placements account for approximately 10% of all fourth grade students
receiving special education services. With this in mind, he finds that on a
statewide basis, 7500 students with disabilities were at the age equivalent
of fourth grade. Reducing this figure by 10%, or 750 students, the
assessment official calculates a participation rate of 74% for students with
disabilities in the fourth grade reading assessment (i.e., 5000- 6750). But
in fact, only 67% of students with disabilities at the fourth grade level
were assessed (i.e., 5000 - 7500).
As this example shows, the road to
participation in assessment seems to have more than its share of wayside rests
for students with disabilities. Besides the primary educational setting (e.g.,
special school, residential facility, ungraded program, or special classroom)
several other factors are often considered in determining assessment
eligibility, including:
A students disability category;
The extent of a students access to the
general curriculum. In the past, for example, NAEP participation criteria
allowed for the exclusion of a student with an IEP if that student was
mainstreamed less than 50 percent of the time in academic subjects and is
judged to be incapable of taking part meaningfully in the assessment
(Mullis, 1990). At the state level, the following true example is typical of
current policy:
A state official reports a
participation rate of 77% for all eligible students with disabilities in a
statewide achievement testing program. Testing eligibility is defined as
having an educational program that is academically focused. The official
also reports that only 60% of all students with disabilities in the state
are considered eligible for participation in testing because of this reason.
What then is the true participation rateΡ77% or 46% (i.e., 77% of 60%)?
Completely individualized reasons,
through the decisions of individual administrators or teams making decisions
about testing students with disabilities. These decisions may or may not be
documented on the students IEPs.
These various points of exclusion make the
interpretation of participation rates between schools, districts or states very
problematic, since the reported rates of participation may be excluding many
special education students from the population being referenced.
Fractured Fractions: Problems of Timing
and Responsibility
Another issue surrounding the accurate
determination of participation rate is one of differing data collection cycles,
that is, the time at which data reflecting the numerator and denominator are
collected. States are required to submit special education child count data to
the federal government on December 1st of each school year. The testing cycles
of many states are in the fall or spring. Under such conditions, even the most
accurate data collection can produce unusual results, including participation
rates that exceed 100%. The problem is easier to explain than it is to fix: a
December 1 population count does not reflect those students becoming eligible
for special education between December and a later testing cycle. Nor does it
reflect students who discontinue services. Therefore, participation rates
calculated using less than current population information can result in
estimates that largely exaggerate or underestimate the true rate at which
students with disabilities are participating.
Participation ratios are fractured not only
by time, but by departmentalized responsibilities in data collection. In many
state departments of education, responsibility over large-scale assessment data
falls to designated officials within assessment or evaluation divisions, while
information on students with disabilities remains in the domain of state special
education offices. Much of the confusion about the determination of
participation rates is a direct reflection of poor inter-departmental
communication between these units. As one state assessment official recently
stated, "We provide the numerator, and the special education division provides
the denominator."
Recommendations
for Policymakers
Should the amendments currently being
considered for the reauthorization of IDEA become law, states will be asked to
report the participation rates of students with disabilities as part of their
annual state reporting procedures. If this becomes the case, states will
undoubtedly seek direction from federal policymakers about which students may or
may not be considered part of the population against which test takers with
disabilities should be compared. Three general recommendations can be made based
on NCEOs experience in pursuing accurate participation data from statewide
assessment programs:
Identify students with disabilities in
statewide assessment programs. Determining an accurate numerator is
problematic in many states, with officials unable to determine how many test
takers were actually students with disabilities. NCEO suggests that efforts be
undertaken immediately within all state assessment programs to identify those
test takers who were being provided special education services at the time of
the test. This variable could readily be added to the other demographic
descriptors routinely collected by state assessment programs.
Successful implementation of this
recommendation necessarily would require cooperation between local testing
administrators and special education personnel. Because general education
teachers may not always be aware that a student is receiving special education
services (particularly indirect monitoring or consultation services) it would be
essential for special education personnel to verify all assessment rosters.
Standardize procedures for calculating
participation rates. Until clear direction is given to state assessment
programs and special education offices, the problems surrounding variance in
determining a suitable denominator for calculating participation rates will
continue to plague all attempts to track increased participation of students
with disabilities in statewide assessment programs. Efforts should be undertaken
by policymakers at the state and federal levels to provide clear directives in
how such numbers should be derived. Because of their inclusiveness, December 1st
child counts of students with disabilities (reported to the U.S. Department of
Education) currently are our best available source for determining a reasonable
denominator in the participation ratio. Because this count includes a states
entire population of children receiving special education services at a set
date, states would have a standardized and widely recognized metric to use when
calculating rates of assessment participation.
As this paper has noted, however, the
December 1st child count is not without its limitations. New means should be
explored to assist states in bringing their special education population counts
and testing cycles into alignment. And because the child count reports data by
age level, age-to-grade conversions should be established and publicized for
consistent interpretations of which students should be included in the
denominator of participation ratios.
Improve lines of communication between state
special education and assessment offices. If accurate reporting of
participation by students with disabilities in statewide testing is going to
happen, a collaborative strategy will need to be developed by these two
educational units. The many issues surrounding the status of students with
disabilities in testing programs need to be cooperatively identified and
resolved. Improved levels of interaction between assessment and special
education offices would undoubtedly lead to improved confidence in our methods
of measuring and reporting the participation of students with disabilities in
statewide assessment programs.
Recommendations
for Practitioners
What can teachers and local special education
administrators do to improve our ability to report on the participation of
students with disabilities in statewide assessment programs? The NCEO suggests a
number of ways in which positive change can be encouraged at the school or
district level:
Ask some good questions. Are students
with disabilities within your school or district included in assessment
programs? Are students with disabilities being held to the same academic
standards and expectations as those of general education students? Is your
school accountable for all its students? Posing these questions uncovers the
fundamental issues surrounding our own expectations for students with
disabilities, and their access to the curriculum provided to their non-disabled
peers.
Help parents make the connection.
Many parents of students with disabilities are likely to feel that their
children have already been tested enough. But the majority of assessments given
to students with disabilities involve determining their eligibility for
services, not measuring their educational progress. Parents can play a pivotal
role in advocating for the inclusion of students with special needs in
assessment, but only if they are provided information on how participation in
testing can lead to higher expectations, broader curricular offerings, and
ultimately, better results for students.
Critique your assessment policies.
Most states and many individual districts have policies in place that oversee
the participation of students with disabilities. Ask to see them. Do they
promote the inclusion of students receiving special education? Are appropriate
accommodations allowed for use by students who need them? Are the testing
results for students with disabilities included when reporting on the
performance of schools or districts? Are the results used by special education
administrators for planning improvement efforts? If you think such policies need
improvement, bring your concerns to testing officials and local school
administrators.
In Conclusion
Is this much ado about nothing? We think not.
Failure to include students with disabilities in assessment and accountability
systems leads to failure to assume responsibility for the results of their
education. Partial participation of a states or districts students in assessment
can result in policy decisions being made on partial or skewed data. Inaccurate
deriving or reporting of participation rates provides policymakers with
inaccurate comparisons among states, districts, cities, schools, or even between
students with disabilities and their peers without disabilities. Our national,
state and district educational policies should be based on complete sets of data
on all of Americas school children.
References
Erickson, R.N., Thurlow, M.L., & Thor, K.A.
(1995).
State special education outcomes 1994. Minneapolis, MN: University of
Minnesota, National Center on Educational Outcomes.
Erickson, R.N., Thurlow, M.L., Seyfarth, A.L.
& Thor, K.A. (1996). State special education outcomes 1995. Minneapolis,
MN: University of Minnesota, National Center on Educational Outcomes.
McGrew, K.S., Thurlow, M.L., Shriner, J.G., &
Spiegel, A.N. (1992). Inclusion of students with disabilities in national and
state data collection programs (Technical Report 2). Minneapolis, MN:
University of Minnesota, National Center on Educational Outcomes.
Mullis, I. (1990). The NAEP Guide: A
description of the content and methods of the 1990-1992 assessment.
Washington, DC: National Center for Education Statistics.
Thurlow, M.L., Scott, D.L., & Ysseldyke, J.E.
(1995a). Compilation of states guidelines for accommodations in assessments
for students with disabilities(Synthesis Report 18). Minneapolis, MN:
University of Minnesota, National Center on Educational Outcomes.
Thurlow, M.L., Scott, D.L., & Ysseldyke, J.E.
(1995b). Compilation of states guidelines for including students with
disabilities in assessments (Synthesis Report 17). Minneapolis, MN:
University of Minnesota, National Center on Educational Outcomes.
Zlatos, B. (1994). Dont ask, dont tell.
The American School Board Journal, 11, 24-28.
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