HAWAII STUDENT GROWTH ANALYSES
2018-2019 & BEYOND
Damian W Betebenner & Adam VanIwaarden
National Center for the Improvement of Educational Assessment
Honolulu, Hawaii August 15th, 2019
TOPICS FOR DISCUSSION
• About Us
• What is student growth? A quick overview.
• A brief history of student growth analyses in Hawaii.
• SGP analyses associated with the 2018-2019 academic year.
ABOUT US
• Damian Betebenner
• Joined Center for Assessment in 2007
• Co-Developed SGPs and the SGP package with Adam VanIwaarden
• Adam VanIwaarden
• Intern at Center for Assessment in 2010
• Working full time at Center as part of SGP development and implementation
Student Growth: Introductory Concepts
• The concept of student growth isn’t as difficult to understand and
popular perception suggests.
• Calculations may be complicated but knowing how to calculate
student growth is not synonymous with understanding student growth:
– The number π (pi=3.14159…) is difficult to calculate but is simple
to understand conceptually.
– Height and weight percentiles associated with children are difficult to
calculate but are simple to understand conceptually.
• Computational details are important but often obscure a simple
conceptual basis.
Student Growth Introductory Concepts
A Math Story Problem
• Whose high jump changed more?
Explain your answer.
• Whose high jump change is more
remarkable? Explain your answer.
• Which high jumper improved more?
Explain your answer.
Student Growth: Introductory Concepts
• There are 3 general approaches of calculating student growth:
– Growth as an amount of change (i.e., gain).
– Growth as a norm/peer referenced quantity.
– Growth as a criterion referenced quantity.
Student Growth: Introductory Concepts
• Growth as an amount of change:
– What could be more simple?
– Like height or weight just calculate the amount of change.
– Requires a vertical scale (which Arizona now has)
– Growth = Score Time 2 - Score Time 1
• Not as simple as it seems:
– Comparisons between students often leads to wrong
conclusions
– Interpreting change requires context.
Student Growth: Introductory Concepts
Back to the story problem!
Student Growth: Introductory Concepts
• Which high jumper improved
more:
– Judy improved 2 inches.
– Anna improved 6 inches.
– An inch is an inch!!!
– But is an inch really
an inch???
– 2 inches for an elite
jumper is far more
remarkable than 6
inches for a novice.
Student Growth: Introductory Concepts
• The same holds true for the vertically scaled tests (e.g., SBAC).
Average Scale Score Change 2017 to 2018
Top 10% ELA Grade 4 2017 +8.76
Bottom 10% ELA Grade 4 2017 +31.5
Top 10% Mathematic Grade 4 2017 +16.7
Bottom 10% Mathematics Grade 4 2017 +44.5
• Just as an inch isn’t necessarily an inch; a scale score point isn’t necessarily a scale
score point.
Student Growth: Introductory Concepts
•This is analogous to height/weight measures for infants.
•Growth amounts are tricky to interpret and require context.
•Peer based comparisons used by growth analyses are a way to acquire that context.
An infant male toddler is measured at 2 and 3 years of age
and is shown to have grown 4 inches. The magnitude of
increase—4 inches—is a well understood quantity that any
parent can grasp and calculate at home using a simple
yardstick. However, parents leaving their pediatrician’s office
knowing only how much their child has grown would likely be
wanting for more information: Parents are not interested in an
absolute magnitude of growth, but instead in a norm-
referenced quantity locating that 4 inch increase alongside the
height increases of similar children.
Student Growth: Introductory Concepts
• Peer-based analyses are also called norm-referenced analyses.
• Like with infant height/weight charts, peers are children/
student with similar characteristics.
• For growth analyses using large scale assessments, peers are
students with (at least) the same scale score history on the
same tests.
• Peer based norms are invaluable in providing context for
stakeholders to understand student growth.
• The Hawaii SGP Model creates growth norms for all students
using regression (i.e., peer-based) analyses.
• These norms allow stakeholders to understand what an
ambitious yet reasonable expectation is for each student.
Student Growth Percentiles
• Research on the SGP model began in 2007.
• Based upon work in Colorado, the norm-referenced model
was extended to include a criterion-referenced component.
• Work in other states incorporating the model into state
reporting and accountability systems occurred in subsequent
years and student growth became more common across
state assessment systems.
• Goal or the model is to create an individual level growth
metric that is informative to different stakeholders ranging
from parents to policy makers.
HISTORY OF STUDENT GROWTH IN HAWAII
• Begun in 2012 as part of Hawaii’s successful RttT grant.
• Originally focused on teacher evaluation.
• Included use of interactive visualizations to help communicate
SGP results.
• Included the calculation of student growth percentiles and student
growth projections (not sure whether SGTs were used).
• Used (and not used) in different ways over the last decade.
CALCULATION OF STUDENT GROWTH
PERCENTILES
• Student Growth Percentiles and Projections are calculated using the SGP package
(2019) which utilized the R statistical software environment.
• Both the SGP package and R are open source (free!) software.
• All source code for the SGP package as well as the Hawaii SGP analyses are open
source and posted on the Center for Assessment Github site:
• https://github.com/CenterForAssessment
• https://github.com/CenterForAssessment/SGP
• https://github.com/CenterForAssessment/Hawaii
• Details about the R software environment and SGP package are available in an
accompanying presentation.
CALCULATION OF STUDENT GROWTH
PERCENTILES
• Calculation of SGPs is conducted in two broad steps:
• Data Preparation:
• Raw student level assessment data and raw student-teacher roster data
are provided by Hawaii DOE. These data are modestly cleaned and
prepared for SGP analysis.
• Data Analysis:
• One data is prepared, the SGP package and its functions are used to
conduct all SGP analyses
CALCULATION OF STUDENT GROWTH
PERCENTILES
• Data preparation:
• Student level data preparation:
• The R script used to create the nal student level data for SGP analysis
is available on the Hawaii SGP Github website: https://github.com/
CenterForAssessment/Hawaii/blob/master/
Hawaii_Data_LONG_2019.R
• Student-teacher roster data preparation:
• The R script used to create the nal student-teacher roster lookup le
is available on the Hawaii SGP Github website: https://github.com/
CenterForAssessment/Hawaii/blob/master/
Hawaii_Data_LONG_2019_INSTRUCTOR_NUMBER.R
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CALCULATION OF STUDENT GROWTH
PERCENTILES
• Data analysis:
• The R script used to run the entire SGP is available on the Hawaii SGP
Github website: https://github.com/CenterForAssessment/Hawaii/blob/
master/Hawaii_SGP_2019.R
• The SGP R script includes a number of internal steps creating SGPs,
AGPs (adequate growth percentiles), school level summaries,
instructor level summaries, and outputting the results.
• Previously, individual student reports were generated for the Hawaii
DOE as well using the SGP package (see accompanying sample
reports).
CALCULATION OF STUDENT GROWTH
PERCENTILES
• Data validation and transfer
• SGP analyses produce numerous goodness-of- t plots used to investigate
whether SGP analyses produce valid results.
• Output data are shared with Hawaii DOE via the Center for Assessment’s
secure ShareFile website.
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About this copy
Hawaii Student Growth Analyses — Hawaii Department of Education, August 15, 2019.
This is an image-based copy of the original Keynote slides; builds and animations are flattened.