References
On Student Growth Percentiles & Accountability in Hawaii
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
Dover, NH
Teacher Leader Work Group
March 10, 2014
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
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, Betebenner et al., 2014].
- 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 On Student Growth Percentiles & Accountability in Hawaii
References
Student Growth Percentiles
2007 Began development of the Colorado Growth Model
(student growth percentiles).
2008 Began work with Massachusetts, Indiana and other states
on implementation of growth model.
2008 Successfully application of Colorado Growth Model
(criterion-referenced component) as part of growth model
pilot program.
2009-2010 Began/continued work with approximately two-dozen other
states on developing state growth models.
2010-2014 Worked with states on incorporating growth into RttT
applications and with successful states on their use
(Hawaii, Massachusetts, Georgia, Rhode Island).
2011-2014 Worked with a number of states on incorporating student
growth percentiles into the ESEA waiver applications and
teacher evaluation systems.
2014- Working with states transitioning to PARCC, SBAC
assessment systems.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
Student Growth Percentile Adoption
Adopted Model
Considering Adoption
Investigating Model
References
About the growth model
The Student Growth Percentiles Methodology is a norm- and
criterion-referenced growth analysis method.
The norm-referenced component of the model is the student growth
percentile which indicates the relative growth a student makes.
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 is to create a durable metric to assist in moving beyond
debates over what thermometer is best to discussions of how best to
use the thermometer.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
Describing Student Growth
Measuring (quantifying) student growth is not a simple task.
Even with an interval (or ratio) scale (e.g., a yard stick), 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 a growth
norm to help understand student growth.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
Student Growth Percentiles
Should we be surprised with a child’s current achievement given their
prior achievement?
Student growth percentiles answer this question.
Consider a low achieving student with 50th percentile growth and a
high achieving student with 50th percentile growth.
The low achieving student grew at a rate exceeding 50 percent of
similar students.
The high achieving student grew at a rate exceeding just 50 percent of
similar students.
The low achiever’s growth is probabilistically as rare as the high
achiever’s.
Equally rare does not mean equally good.
Judgments about the adequacy of student growth require external
criteria.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
Advanced
Reading
Achievement
Proficient ●
DEMO Reading
Scale Score
● Catch Up
Target Growth
Part Proficient Level Percentiles
Very High 81st − 99th
High 61st − 80th
Typical 40th − 60th
Unsatisfactory
Low 20th − 39th
Very Low 1st − 19th
Grade 3 Grade 4
Scale Score 449
Achievement Level
Achievement Target
Unsatisfactory
Proficient (529)
Achievement
Growth Percentile
Growth Level
Growth Target Catch Up (64)
Growth
Advanced Reading
Achievement
DEMO Reading
● Scale Score
Proficient
● Catch Up
Growth
Target
Level Percentiles
Very High 81st − 99th
Part Proficient High 61st − 80th
● Typical 40th − 60th
Low 20th − 39th
Unsatisfactory
Very Low 1st − 19th
Grade 3 Grade 4 Grade 5
Scale Score 449 533
Achievement Level
Achievement Target
Unsatisfactory Part Proficient
Proficient (562)
Achievement
Growth Percentile 69
Growth Level
Growth Target
High
Catch Up (76)
Growth
Advanced
Reading
Achievement
Proficient ● ●
● Catch Up
Target
DEMO Reading
Scale Score
Growth
Part Proficient Level Percentiles
Very High 81st − 99th
High 61st − 80th
Typical 40th − 60th
Unsatisfactory
Low 20th − 39th
Very Low 1st − 19th
Grade 3 Grade 4 Grade 5 Grade 6
Scale Score 449 533 579
Achievement Level
Achievement Target
Unsatisfactory Part Proficient Part Proficient
Proficient (586)
Achievement
Growth Percentile 69 85
Growth Level
Growth Target
High Very High
Catch Up (71)
Growth
Advanced Reading
● Move Up
Achievement
Target
DEMO Reading
● Scale Score
Keep Up
● Target
Proficient Growth
Level Percentiles
● Very High 81st − 99th
High 61st − 80th
Part Proficient Typical 40th − 60th
Low 20th − 39th
Very Low 1st − 19th
Unsatisfactory
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7
Scale Score 449 533 579 602
Achievement Level
Achievement Target
Unsatisfactory Part Proficient Part Proficient Proficient
Proficient (620)/Advanced (661)
Achievement
Growth Percentile 69 85 74
Growth Level
Growth Target
High Very High High
Keep Up (76)/Move Up (99)
Growth
References
What Norm Group?
States generally re-norm growth every year such that each grade by
content area set of students forms an SGP growth norm group.
As such, the median SGP associated with each grade by content
area group of students will be 50 each year.
Some states (e.g., Massachusetts and Georgia) have desired to fix a
baseline set of students against which to measure growth.
Baseline referenced SGPs (because they are anchored to student
growth from previous years) could have medians above/below 50.
Calculating baseline SGPs requires at least four years of data in
each grade and content area built on a stable scale. That is, one
can’t have scale drift.
Transitioning to a consortium assessment (SBAC/PARCC) will not
permit the calculation of baseline referenced SGPs until at least 4
years of data are available on the new scale.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
Going from Students to Classrooms/Schools
It’s of interest to examine schools/classrooms where students
demonstrate, on average, extraordinarily high and low student
growth.
To summarize the student growth percentiles associated with a
school/classroom (or other grouping) Colorado calculates the
median of the student growth percentiles.
If students were randomly assigned to classrooms/schools, expect
to see a median of 50.
Values greatly above or below 50 are of interest in identifying best
practices or providing extra support.
Examining growth with achievement sheds new light on
school/classroom performance.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
Hawaii School Performance
HSA Growth & Prior Achievement 2013 HSA Mathematics
Higher Achievement Higher Achievement School Size
2012 Prior Percent at/above Proficient
Lower Growth Higher Growth 50 Students
100 Students
250 Students
500 Students
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2013 Median Student Growth Percentile
References
Going from Students to Classrooms/Schools
Refinements to the bubble plot can help investigate trends over time
and see whether programs have led to a desirable outcome.
For example, Hawaii created the Zones for School Innovation to help
schools serving low achieving students.
The following sequence of bubble plots highlight these schools
(against the back drop of all schools) and examining their
performance from 2009 to 2013.
The trends observed in the bubble plots are consistent with a
positive impact in both reading and mathematics.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
2009 School Performance
Reading Growth & Achievement 2009 Reading
Higher Achievement Higher Achievement School Size
2008 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
XX
XX X X
XX X
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2009 Median Student Growth Percentile
2010 School Performance
Reading Growth & Achievement 2010 Reading
Higher Achievement Higher Achievement School Size
2009 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2010 Median Student Growth Percentile
2011 School Performance
Reading Growth & Achievement 2011 Reading
Higher Achievement Higher Achievement School Size
2010 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2011 Median Student Growth Percentile
2012 School Performance
Reading Growth & Achievement 2012 Reading
Higher Achievement Higher Achievement School Size
2011 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2012 Median Student Growth Percentile
2013 School Performance
Reading Growth & Achievement 2013 Reading
Higher Achievement Higher Achievement School Size
2012 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
50 XX
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2013 Median Student Growth Percentile
2009 School Performance
Mathematics Growth & Achievement 2009 Mathematics
Higher Achievement Higher Achievement School Size
2008 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
XX
Lower Growth X
Higher Growth
Lower Achievement Lower Achievement
Growth 2009 Median Student Growth Percentile
2010 School Performance
Mathematics Growth & Achievement 2010 Mathematics
Higher Achievement Higher Achievement School Size
2009 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
XX
X XX X
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2010 Median Student Growth Percentile
2011 School Performance
Mathematics Growth & Achievement 2011 Mathematics
Higher Achievement Higher Achievement School Size
2010 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2011 Median Student Growth Percentile
2012 School Performance
Mathematics Growth & Achievement 2012 Mathematics
Higher Achievement Higher Achievement School Size
2011 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
XX
Achievement
Lower Growth X
Higher Growth
Lower Achievement Lower Achievement
Growth 2012 Median Student Growth Percentile
2013 School Performance
Mathematics Growth & Achievement 2013 Mathematics
Higher Achievement Higher Achievement School Size
2012 Percent at/above Proficient (Prior)
Lower Growth Higher Growth
50 Students
100 Students
250 Students
500 Students
XX
Achievement
Lower Growth Higher Growth
Lower Achievement Lower Achievement
Growth 2013 Median Student Growth Percentile
References
Going from Students to Classrooms/Schools
Hawaii is currently discussing how to characterize instructor median
SGPs as part of educator educator evaluation
There are numerous ways states are doing this
Fixed (i.e., SGP based) cuts.
Adding confidence intervals around the median SGP or building them
into the cuts.
Variable SGP based cuts.
Hawaii is currently investigating approach number 3.
Hawaii’s approach will always yield the same percentage of teacher in
the same categories (i.e., like grading on a curve).
The cuts for the categories will likely change every year leading to a
communication issue that will likely need to be addressed.
This approach would not be consistent with baseline referenced SGPs,
where the desire is to see higher and higher percentages of teachers
in the effective and highly effective categories.
Caterpillar plots can help illustrate some design choices.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
Median Teacher Student Growth Percentile +/− 1 Standard Error
Median SGP
Median SGP Teacher Rank
Median Teacher Student Growth Percentile +/− 1 Standard Error
Median SGP
Median SGP Teacher Rank
Median Teacher Student Growth Percentile +/− 1 Standard Error
Median SGP
Median SGP Teacher Rank
Median Teacher Student Growth Percentile +/− 1 Standard Error
Median SGP
Median SGP Teacher Rank
Median Teacher Student Growth Percentile +/− 1 Standard Error
Median SGP
Median SGP Teacher Rank
References
The Transition from HSA to SBAC
Some types of growth will still be calculable while transitioning from
HSA to SBAC.
In general, norm-referenced quantities will be calculable.
Criterion-referenced quantities will require some concordance
between old and new test to be calculated. Hawaii is not currently
using criterion-referenced growth as part of reporting or
accountability.
Baseline referenced SGPs won’t be calculable until multiple years of
data on the new scale is available.
States already considering growth during assessment transition
consider communication across the assessment transition to be their
most significant difficulty (not analysis).
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
Questions???
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
References
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., Domingue, B., and Shang, Y.
SGP: An R Package for the Calculation and Visualization of Student
Growth Percentiles & Percentile Growth Trajectories.
R package version 1.2-2.0.
Damian W. Betebenner On Student Growth Percentiles & Accountability in Hawaii
Hawaii: 2013 Mathematics
Norm & Criterion Referenced Growth & Achievement
No Grade 9 Assessment
2013 Achievement Percentile
Percentile Growth Trajectory
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 10
Hawaii: 2013 Reading
Norm & Criterion Referenced Growth & Achievement
No Grade 9 Assessment
2013 Achievement Percentile
Percentile Growth Trajectory
Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Grade 10
About this copy
On Student Growth Percentiles & Accountability in Hawaii — Hawaii Department of Education, March 10, 2014.
This is an image-based copy of the original beamer slides; builds and animations are flattened.