Overview
Different Models/Different Questions
Growth Models
References
Appendix
Growth Models, Student Growth Percentiles, Student Growth
Projections/Targets and Accountability
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, NH
Indianapolis, Indiana November 8th, 2013
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
About Me
Dr. Damian Betebenner, PhD
- Senior Associate at the Center for Assessment (NCIEA).
- Developed student growth percentiles and percentile growth
trajectories to help states and educational associations employ
student growth in decision making [Betebenner, 2008,
Betebenner, 2009, Betebenner, 2012].
- Currently refining and sharing these techniques with other
states including Colorado, Massachusetts, Indiana, Nevada,
Hawaii and 25 other states in various stages of
investigation/adoption.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
Student Growth Percentiles
2007 Began development of the Colorado Growth Model
(student growth percentiles/percentile growth trajectories).
2008 Successful application of Colorado Growth Model
(criterion-referenced/growth target component) as part of
USED Growth Model Pilot Program.
2009 Began work with Indiana on the calculation and reporting
of student growth percentiles and percentile growth
trajectories.
2010 Worked with states on incorporating growth into RttT
applications and with successful states on their use
(Massachusetts, Georgia, New York, Rhode Island).
2011 Worked with a number of states on incorporating student
growth percentiles into the ESEA waiver applications and
teacher evaluation systems.
2012 Worked with 5 states on co-developing interactive
visualizations to help better communicate student growth
percentile results.
2013 Working to enhance collaboration between states on
beneficial uses of growth data.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
About the growth model
The Student Growth Percentiles Methodology is an open source
norm- and criterion-referenced growth analysis method.
The norm-referenced component of the model is the student growth
percentile which indicates the growth a student makes.
Student growth percentiles can be cohort (peer) referenced or
baseline (non-peer) referenced.
The criterion-referenced component of the model is the student
growth percentile target which indicates the amount of growth
required by the student to reach/maintain desirable achievement
goals in a specified time frame. For example, catching-up to
proficiency within 3 years.
The norm- and criterion-referenced components together allow
stakeholders to understand what is, what should be, and what is
reasonable simultaneously.
The goal of the metric was to assist states to move beyond debates
over what “thermometer" is best to discussions of how best to use
the “thermometer".
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
Built to maximize sharing
A number of analytic tools (for doing calculations) and visualization tools
have been developed with the goal to promote maximum sharing. Data
isn’t valuable! It’s what one does with data that is potentially valuable!
The analytic tools to calculate all the quantities associated with
student growth percentiles are open source and freely available to
all states [Betebenner et al., 2013].
https://github.com/CenterForAssessment
The visualizations associated with student growth percentiles are
open source for non-commercial use. Rhode Island is the latest:
http://rigm.ride.ri.gov/growthmodel/index.htm
Conduct training sessions at national conferences to help others
calculate these quantities (like Indiana) on their own.
Build enhanced visualization and reporting tools to make data come
alive to stakeholders, allow for stakeholder collaboration and
sharing, and lead to better stakeholder engagement with data.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
Guiding Questions
Growth models address specific questions
Different growth analysis techniques are good at answering
different questions.
It is critical to understand these different questions.
Different questions lead to different conversations which lead to
different uses and outcomes.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
What are the relevant questions for parents?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Parent Questions
Did my child make a year’s worth of progress in a year?
Is my child growing appropriately toward meeting state
standards?
Is my child growing as much in Math as Reading?
Did my child grow as much this year as last year?
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
What are the relevant questions for teachers?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Teacher Questions
Did my students make a year’s worth of progress in a year?
Did my students grow appropriately toward meeting state
standards?
How close are my students to Proficient?
Are there students with unusually low growth who need special
attention?
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
What are the relevant questions for administrators?
Yen (2007), from a state survey of parents, teachers and administrators,
compiled a list of frequently voiced questions/concerns by stakeholder
group.
Administrator Questions
Did the students in our district/school make a year’s worth of
progress in all content areas?
Are our students growing appropriately toward meeting state
standards?
Does this school/program show as much growth as that one?
Can I measure student growth even for students who do not
change proficiency categories?
Can I pool together results from different grades to draw
summary conclusions?
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
Describing Student Growth
Measuring student growth, even with a vertical scale, is not a simple
task.
Some believe a vertical scale simplifies the task of measuring
student growth.
Even with an interval (or ratio) scale, growth is not easy to interpret.
Consider, for example, height.
A child might grow 4 inches between ages 3 and 4.
4 inches is a well understood quantity.
The 4 inch increase becomes really meaningful only when understood
alongside the growth of other 3 to 4 year olds.
Student growth percentiles were developed to provide context for
describing and ultimately understanding student growth.
Damian W. Betebenner Growth Models and Accountability
Joshua Childress−Younger Sample School
How to interpret this student
growth & achievement report
ELA
Pass + Achievement
ISTEP+ ● ISTEP+ ELA
● Scale Score
Scale Score ●
● Growth
Level Percentiles
ISTEP+
● High 65th − 99th
Achievement Pass
Levels ● Typical 35th − 64th
Low 1st − 34th
Did Not Pass
Student
Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
Growth 2009 2010 2011 2012 2013
Percentile Scale Score 469 498 546 569 649
Achievement Level
Achievement Target
Pass Pass Pass Pass Pass
Achievement
Growth Percentile 57 75 90 81
Catch Up/Keep Up Growth Level Typical High High High
Growth
Move Up/Stay Up Growth Target
Targets
Suggested Uses
Math
Pass + Achievement
ISTEP+ Math
● ● Scale Score
● Review past growth to assess
student academic progress toward ● Growth
ISTEP+ achievement goals. Level Percentiles
● Develop remediation or enrich−
High 65th − 99th
ment plans based on rate of
growth needed to reach higher Pass
Typical 35th − 64th
ISTEP+ achievement levels.
● Identify the rate of progress ● Low 1st − 34th
needed in order to reach or Did Not Pass
maintain proficient status
Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
on the ISTEP+ next year. 2009 2010 2011 2012 2013
Scale Score 435 518 554 580 649
Achievement Level
Achievement Target
Did Not Pass Pass Pass Pass Pass +
Achievement
Growth Percentile 85 92 72 94
Growth Level
Growth Target
High High High High
Growth
For more information please visit the Indiana Department of Education (IDOE) at www.doe.in.gov or contact webmaster@doe.in.gov
Cooperatively developed by the IDOE & the Center for Assessment, Inc. Distributed by the IDOE.
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
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.
Criterion-referenced 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 (i.e., targeted growth) to reach/maintain a desired
level of achievement (e.g. Pass or Pass +)?
Damian W. Betebenner Growth Models and Accountability
Indiana: 2013 ELA
Norm & Criterion Referenced Growth & Achievement
Percentile Growth Trajectory
Scale Score
2013 Achievement Percentile
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
Indiana: 2013 ELA
Norm & Criterion Referenced Growth & Achievement
Percentile Growth Trajectory
Scale Score
2013 Achievement Percentile
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
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.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
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 because of the
growth-to-proficiency goals.
Indiana’s proposed growth-to-standard approach put forward in the
Report of the Accountability System Review Panel is a trajectory
gain score model utilized by many of the 15 states as part of the
growth model pilot program.
To my knowledge, none of the states adopting this approach outlined
by Indiana continue to use that model.
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
Criterion-referenced student growth/accountability
The reality in all state education systems I have worked with is that
students who start behind tend to stay behind (Did Not Pass) and
students who start ahead tend to stay ahead (Pass or Pass +).
Targeted growth reflects this unfortunate reality: Schools serving the
lower achieving students will likely have low percentages of students
reaching targeted growth and schools serving high achieving
students will likely have high percentages of students reaching
targeted growth.
Along, growth to proficient provides an impoverished view of student
growth.
This is not to say that targeted growth is unimportant. I must be
balanced with a norm-referenced view of student progress.
The SGP methodology’s norm and criterion-referenced components
attempt to strike that balance allowing stakeholders to understand:
What is? , What should be? and What is Reasonable?
Damian W. Betebenner Growth Models and Accountability
Jaya Roberds Sample School
How to interpret this student
growth & achievement report ELA
Achievement
Pass +
ISTEP+ ● ISTEP+ ELA
● ● Stay
●● Up
Target Scale Score
Scale Score
Growth
Level Percentiles
ISTEP+ ●
Keep Up
Target High 65th − 99th
Achievement
Pass
Levels ● Typical 35th − 64th
Low 1st − 34th
Did Not Pass
Student
Grade 3 Grade 4 Grade 5 Grade 6
Growth 2011 2012 2013 2014
Percentile Scale Score 451 493 554
Achievement Level
Achievement Target
Pass Pass Pass +
Pass (502)/Pass + (579)
Achievement
Growth Percentile 79 74
Catch Up/Keep Up Growth Level High High
Growth
Move Up/Stay Up Growth Target Keep Up (5)/Stay Up (65)
Targets
Suggested Uses
Math
Pass + Achievement
● Move Up
Target
ISTEP+ Math
● ● Scale Score
● Review past growth to assess
student academic progress toward ●
Keep Up Growth
Target
ISTEP+ achievement goals. ●
● Level Percentiles
● Develop remediation or enrich−
High 65th − 99th
ment plans based on rate of
growth needed to reach higher Pass
Typical 35th − 64th
ISTEP+ achievement levels.
● Identify the rate of progress Low 1st − 34th
needed in order to reach or Did Not Pass
maintain proficient status
Grade 3 Grade 4 Grade 5 Grade 6
on the ISTEP+ next year. 2011 2012 2013 2014
Scale Score 506 512 554
Achievement Level
Achievement Target
Pass Pass Pass
Pass (532)/Pass + (574)
Achievement
Growth Percentile 38 58
Growth Level
Growth Target
Typical Typical
Keep Up (9)/Move Up (63)
Growth
For more information please visit the Indiana Department of Education (IDOE) at www.doe.in.gov or contact webmaster@doe.in.gov
Cooperatively developed by the IDOE & the Center for Assessment, Inc. Distributed by the IDOE.
Overview
Different Models/Different Questions
Norm-referenced student growth/accountability
Growth Models
Criterion-referenced student growth/accountability
References
Appendix
Recommendations
Consistent with the duties charged to the Accountability System Review
Panel the state should perform thorough impact analyses on the
outcomes of the results including:
How does growth relate to achievement at both the individual and
group level?
Do schools serving lower achieving students demonstrate markedly
different growth than schools serving high achieving students?
Do growth results differ by school level (elementary, middle, high)?
Do growth results differ by important demographic subgroups in the
state? Are any differences observed consistent with expectations
and acceptable?
To what extent do the results of the growth model change the
outcomes of the final A-F ratings based just upon status?
Does growth answer questions of relevance to the various
stakeholder groups and are those questions consistent with larger
policy goals?
Is the impact of growth on A-F outcomes coherent with policy?
Damian W. Betebenner Growth Models and Accountability
Overview
Different Models/Different Questions
Growth Models
References
Appendix
References
Betebenner, D. W. (2008).
Toward a normative understanding of student growth.
In Ryan, K. E. and Shepard, L. A., editors, The Future of Test-Based
Educational Accountability, pages 155–170. Taylor & Francis, New
York.
Betebenner, D. W. (2009).
Norm- and criterion-referenced student growth.
Educational Measurement: Issues and Practice, 28(4):42–51.
Betebenner, D. W. (2012).
Growth, standards, and accountability.
In Cizek, G., editor, Setting Performance Standards: Foundations,
Methods, and Innovations, pages 439–450. Routledge, New York.
Betebenner, D. W., Van Iwaarden, A., and Domingue, B. (2013).
SGP: An R Package for the Calculation and Visualization of Student
Growth Percentiles & Percentile Growth Trajectories.
R package version 1.0-4.0.
Yen, W. M. (2007).
Vertical scaling and No Child Left Behind.
In Dorans, N. J., Pommerich, M., and Holland, P. W., editors, Linking
and Aligning Scores and Scales, pages 273–283. Springer, New
York.
Damian W. Betebenner Growth Models and Accountability
Indiana: 2013 Mathematics
Norm & Criterion Referenced Growth & Achievement
Percentile Growth Trajectory
Scale Score
2013 Achievement Percentile
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
Indiana: 2013 Mathematics
Norm & Criterion Referenced Growth & Achievement
Percentile Growth Trajectory
Scale Score
2013 Achievement Percentile
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8
About this copy
Growth Models, Student Growth Percentiles, Student Growth Projections/Targets and Accountability — Indiana Department of Education, November 8, 2013.
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