Uses of Student Growth
Growth Models, Student Growth Percentiles and Accountability
Damian W. Betebenner & Chris Domaleski
National Center for the Improvement of Educational Assessment
Dover, NH
Indianapolis, Indiana December 20th, 2010
Betebenner & Domaleski Growth Models and Accountability
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Overview
Accountability There are different levels of accountability
Institutional Accountability (e.g., school, district, state)
Personnel evaluation.
Diagnosis Highlight students demonstrating poor growth needing
attention/Highlight students needing to demonstrate high
levels of growth in the coming year.
Advocacy Highlight growth gaps between ethnic groups at state
level.
Betebenner & Domaleski Growth Models and Accountability
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Two Flavors of Growth based Accountability
Our work in the last few years investigating growth/value-added models
has led us to believe that there are two general types of growth based
accountability
Norm-referenced growth based accountability vis-à-vis value-added
models
Criterion-referenced growth based accountability vis-ã-vis
growth-to-standard models implemented by many states for AYP.
Betebenner & Domaleski Growth Models and Accountability
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Two Flavors of Growth based Accountability
These two approaches to growth impart different levels of stringency
Norm-referenced Is the group of students growing better/worse (on
average) than statistical expectation?
Criterion-referenced Is each student in the group growing at a sufficient
rate to reach/maintain proficient status?
The first judges against statistical expectation,
The second judges against a common, desirable destination we
want all students to reach (at a minimum).
Betebenner & Domaleski Growth Models and Accountability
2008 CSAP Mathematics
Growth and Achievement Chart
2008 Achievement Percentile Percentile Growth Trajectory
Scale Score
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 9 Grade 10
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Norm-referenced student growth/accountability
Using student growth percentiles, the median SGP for a group
describes whether students in the group, on “average”,
demonstrated growth above or below expectation.
This is essentially, what value-added models quantify.
Value-added models go an extra step an implicitly infer causality by
labeling the aggregate measure as a school or teacher effect.
Some value-added models include student level characteristics
(e.g., demographics) and thus set differential expectations.
Student growth percentiles do not include student level
characteristics in the model. Any adjustments needed for
accountability purposes can occur post-hoc.
Betebenner & Domaleski Growth Models and Accountability
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Criterion-referenced student growth/accountability
Former Secretary of Education Margaret Spellings initiated the
growth model pilot program allowing states to include growth as a
means of satisfying AYP.
The “Bright Line Principle” of all students being proficient by 2014
remained.
15 states were accepted as part of the pilot. None saw a significant
improvement in their AYP numbers.
An impossible goal should be impossible regardless of how you
“slice it” (via status or growth).
Colorado successfully applied to be a part of the growth model pilot
program using student growth percentiles/percentile growth
trajectories.
Betebenner & Domaleski Growth Models and Accountability
Overview
Norm-referenced student growth/accountability
Uses of Student Growth
Criterion-referenced student growth/accountability
Finding a happy medium
Combining Norm- and Criterion-referenced growth
We feel that value-added models and growth-to-standard models fail
in isolation because each ignores the other.
In all pursuits, we need both norms and criteria to make sense of the
world.
Student growth percentiles/percentile growth trajectories provide the
basis for combining a norm- and criterion-referenced view of growth.
Student Growth Percentiles describe what is. A median SGP
describes what is on “average”.
Percentile growth trajectories (target SGPs) describe what should be.
A median target SGP describes what should be on “average.
Comparing the median SGP to the median target SGP allows one to
have both a norm- and criterion-referenced interpretation of growth.
Colorado developed its school performance framework around this
idea. New York is actively exploring this idea for AYP.
Betebenner & Domaleski Growth Models and Accountability
About this copy
Growth Models, Student Growth Percentiles and Accountability — Indiana Department of Education, December 20, 2010.
This is an image-based copy of the original PDF slides; builds and animations are flattened.