RICAS & SAT Student Growth Percentile Results Revision 2 · revised following TAC feedback
Damian W. Betebenner
National Center for the Improvement of Educational Assessment
RIDE TAC Meeting · August 27, 2026
AI Contribution & Authorship Statement
These analyses and this presentation represent the work of the author with substantive and continuous assistance from AI-based systems (Anthropic’s Claude), integrated natively into the analysis, revision, and preparation of this deck.
The use of AI here is not incidental or peripheral — it is essential, embedded, and reflective of a methodological shift toward AI-native scholarship. This statement is offered in the spirit of methodological clarity and epistemic honesty.
Analytic extension: The cross-sectional comparison added in this revision — the Mann–Whitney statistic and Ho’s scale-invariant , the PP curves, and status read against the norm period — was developed in human–AI collaboration, including the derivation that the cross-sectional comparison is the zero-covariate case of the baseline SGP, and the reading of the mathematics trend that follows from it.
Verification of inputs: Every figure and factual claim in the returned committee feedback was checked against the student-level file before being acted on. Claims that could not be verified from the data are deliberately not asserted anywhere in this deck, and are named as open questions instead.
Computational modules: AI contributed to the R summary pipeline and the quantities it now caches, to the ggplot2 and PSTricks figures, and to the verification harness used to confirm the reported numbers and to check the rendered slides.
Authorship & responsibility: The author retains full responsibility for all claims, analyses, and recommendations (ICMJE/AERA norms). AI is not listed as an author but its instrumental role is explicitly acknowledged.
Roadmap
Roadmap for the talk
What was run — RICAS and PSAT/SAT analyses, cohort and baseline
2026 results — overall growth and model fit
Growth in context — baseline growth read against the norm period
Grade 11 — why the baseline results are withdrawn
Growth equity — results by student group
Target attainment — catch-up / keep-up, and what the target actually is
Questions for the TAC
110,575 students received a 2026 growth percentile across RICAS (grades 4–8) and SAT (grade 11). Results use the student-level file received August 25, 2026.
This revision
Revision 2 — revised following Technical Advisory Committee feedback
This deck is a living document. It regenerates from the analysis pipeline, so feedback that changes an analysis changes every number that depends on it. The changes below originate in written comments returned by the committee.
What changed
Baseline growth is now read alongside cross-sectional results from the norm period, following Ho (2009). This changes the reading of the mathematics trend.
The grade-11 baseline results are withdrawn from reporting pending the SAT linking question.
Model fit is reframed as conditional coverage, with the discreteness limit stated explicitly.
Catch-up / keep-up now reports its target horizon, denominators, and intervals.
Standard deviations accompany every group mean.
What remains open
Whether to re-establish baseline norms, and on what cadence. The committee’s written comments point in both directions; this deck states the trade-off rather than resolving it.
Whether the ELA growth pattern and the ELA equating pattern are the same phenomenon.
A form-effects study using Massachusetts spiralled forms, designed jointly with the validation work.
SGP results for 2026
Section one: 2026 results
What was run: RICAS (grades 4–8)
Two SGP analyses were conducted on the 2026 RICAS data (ELA and Mathematics):
Cohort-referenced — growth norms built from the most recent cohorts; by construction these center mean/median SGP on 50.
Baseline-referenced — historical coefficient matrices from the pre-pandemic 2017–18 and 2018–19 administrations. These are not centered on 50 and let us examine COVID-era academic recovery, changes in rates of learning, and possible scale drift.
Projections (lagged and straight) were calculated using both norm sets.
Cohort norms answer “how did this student grow relative to academic peers this year?” Baseline norms answer “how does that growth compare to pre-pandemic rates of learning?”
What was run: PSAT → SAT (grade 11)
Two SGP analyses were conducted on the PSAT-10 → SAT progression (single prior):
Cohort-referenced — centered on 50 by construction.
Baseline-referenced — the same pre-pandemic 2017–18 / 2018–19 window: PSAT-10 (2018) → SAT (2019).
No projections — SAT (grade 11) is the last tested grade in Rhode Island.
Single-prior growth
Grade-11 growth uses one prior (PSAT-10). It is a shorter growth window than the RICAS grades, so baseline comparisons are correspondingly more sensitive to form and linking effects.
Provenance & reproducibility
All analyses used student-level data supplied by the Rhode Island Department of Education, received August 25, 2026 (a correction to an earlier file affecting several hundred students).
Conducted with the SGP R package (version 2.3.1.10).
All analyses converged; goodness-of-fit plots confirm successful analyses.
This is revision 2 of the deck, regenerated after TAC feedback; the underlying student-level file is unchanged.
This deck is generated from a cached summary of the student-level LONG data. When RIDE supplies revised data, re-running the pipeline refreshes every number and table automatically.
2026 SGP results at a glance
Grade
ELA
Mathematics
Cohort
Baseline
Cohort
Baseline
4
49.9/50/9,425
49.9/50/9,425
49.9/49/9,548
49.7/49/9,548
5
49.8/50/9,065
44.6/44/9,065
50.0/50/9,151
46.3/44/9,151
6
50.1/50/9,128
45.0/43/9,128
49.8/50/9,230
44.5/42/9,230
7
49.8/50/9,156
53.3/55/9,156
49.8/50/9,283
46.4/44/9,283
8
49.8/50/9,172
45.4/44/9,172
49.7/50/9,250
52.6/55/9,250
11 (SAT)
49.6/50/9,061
64.8/73/9,061
49.6/49/9,106
55.4/57/9,106
Each cell: mean / median / N of student growth percentiles, 2026. Cohort norms center on 50 by construction; baseline norms are referenced to pre-pandemic rates of learning. The grade-11 baseline cells are shown for the committee only — this revision recommends withholding them from public reporting (see section 4). Data received August 25, 2026.
Reading the 2026 baseline results
Above pre-pandemic rates (baseline mean > 52)
ELA Grade 7 (mean 53.3)
Mathematics Grade 8 (mean 52.6)
Below pre-pandemic rates (baseline mean < 48)
Mathematics Grade 6 (mean 44.5)
ELA Grade 5 (mean 44.6)
ELA Grade 6 (mean 45.0)
ELA Grade 8 (mean 45.4)
Mathematics Grade 5 (mean 46.3)
Mathematics Grade 7 (mean 46.4)
Cohort-referenced results are, as expected, centered on 50 with even conditional coverage. The baseline results are uneven across grade and content — the pattern the next section reads against cross-sectional status. Grade 11 is held back for section 4.
Growth distribution: Low / Typical / High
Model fit and conditional coverage
Section two: model fit and conditional coverage
What these plots do and do not diagnose
Revised following TAC comment
Each plot shows, for every decile of prior achievement, the share of students falling in each growth-percentile decile. Two different things move those cells, and only one of them is a fitting problem.
What they diagnose
Systematic tilt across prior achievement. If growth percentiles drift upward or downward as prior achievement rises, the conditional model is not covering the range of prior achievement evenly. That is misfit, and it is actionable.
What they cannot diagnose
Departure from exact uniformity. Scores are discrete. Students sharing a prior and a current score must receive the same growth percentile, so the conditional distribution cannot be uniform and the cells cannot all sit at 10%. That lumpiness follows from fitting a continuous quantile model to a discrete scale.
The diagnostic content is the tilt, not the distance from 10%. The residual lumpiness is a property of the model meeting a discrete scale — it is the model’s constraint, not a defect in the data. For baseline norms a level shift is neither: it is the change in the prior-to-current relationship that the comparison exists to detect.
Both norm sets fit the data well. The difference is the reference: cohort centers on this year’s peers; baseline holds the pre-pandemic standard fixed — so a level shift here is signal, not misfit.
Growth in context
Section three: growth in context
Pandemic-related academic recovery
Five years on from the onset of the pandemic, we examine changes in growth over time to distinguish among:
Ripple effects — continued downstream impact for students whose early schooling was disrupted.
Slower (or faster) learning gains — a real change in how much students learn, relative to 2017–19.
Scale drift / linking — movement in the underlying scale that can look like a growth change.
Two views of the same data
Diagonal — follow one cohort as it ages grade-to-grade.
Vertical — hold a grade fixed and watch successive cohorts year-to-year.
Where were they during the pandemic?
Current (2026)
Spring 2020
2020–2021
Grade 4
PK
K
Grade 5
K
Grade 1
Grade 6
Grade 1
Grade 2
Grade 7
Grade 2
Grade 3
Grade 8
Grade 3
Grade 4
Grade 11 (SAT)
Grade 6
Grade 7
The lower grades tested in 2026 spent their earliest, most foundational schooling years during pandemic disruption.
Trend: same grade over time (drift indicator)
Baseline growth needs a second measurement
Added following TAC comment
A mean baseline SGP is a conditional statement: given where these students started, how does their current standing compare with the 2017–19 relationship between prior and current scores? It cannot, alone, separate a change in learning from a change in the scale.
The committee’s remedy is to put it beside the cross-sectional comparison from the same norm period — a distributional comparison that assumes no growth model at all, following Ho (2009).
The two are the same statistic, with and without conditioning
Drop the prior-score conditioning from a baseline SGP and it becomes the percentile of a student’s score in the norm-period marginal distribution. Averaged over the cohort, that is the Mann–Whitney statistic behind Ho’s scale-invariant :
, — scores drawn at random from the norm period (2019) and from the current year (2026) · — the norm-period distribution function, so is the share of norm-period students scoring below ; is its conditional form, given prior score · — an average, here over the current-year cohort · — that average, equivalently · — the inverse standard normal distribution function
So the cross-sectional comparison is the zero-covariate case of the baseline SGP — not a rival method.
One statistic, with and without conditioning
A is the baseline SGP. B is the same quantity with the prior dropped. C averages B over the cohort — and lands exactly on the Mann–Whitney statistic behind Ho’s . The cross-sectional comparison is not a rival to the baseline SGP; it is the zero-covariate case of it.
The same grades, measured both ways
Reading the two together
Mathematics — recovery completing
Status rose in every grade every year: grade 4 from 47 to 51, grade 8 from 46 to 50.
The falling baseline SGP is the fading of rebound growth off a depressed base, not deterioration. Growth far above the pre-pandemic rate was what recovery required; arriving back at 50 is what its completion looks like.
ELA — the genuine concern
Status is flat and below the norm period in every grade and every year (42 at grade 5, 43 at grade 6), and baseline SGP is below 50 in the same grades.
Both measurements agree, and neither is recovering. This, not the mathematics line, is where the deck’s concern belongs.
The measurements move in opposite directions across subjects. A program-wide linking or equating event would move grades and subjects together in one year. That is not what the RICAS data show — which argues against a common scale-drift explanation and for reading these as real, subject-specific changes.
The distributional comparison itself
ELA sits above the diagonal at every grade and across the whole range — a uniform downward shift, not a tail effect. Mathematics tracks the diagonal closely, with grades 4 and 5 slightly below it.
Do the two measurements agree?
ELA agrees strongly across the two measurements — grade 7 highest on both, grades 5 and 6 lowest on both. Mathematics sits close to the reference on both: status slightly above 2019, conditional growth slightly below it. That combination describes a cohort arriving in the grade already ahead of its 2019 counterpart, not a scale artifact — which would show up as a grade far from the reference on one measure and unmoved on the other.
The same students, three consecutive years (ELA). This cohort was in the early-literacy grades during the pandemic — the diagonal lets us watch their baseline-referenced growth as they progressed.
Grade 11: a linking question
Section four: grade 11
Two measurements that cannot both be right
What the baseline SGPs say
ELA: mean/median 64.8 / 73
Mathematics: 55.4 / 57
Read literally: the typical Rhode Island eleventh grader grew at roughly the 73th percentile of the pre-pandemic growth distribution in ELA.
What every other measurement says
ELA status vs 2019: 47 (50 = unchanged)
Mathematics status vs 2019: 44
Percent proficient, ELA: 50.6% → 47.8%
Percent proficient, mathematics: 31.2% → 23.6%
Grade-11 achievement is down on every cross-sectional measure.
Exceptional growth against a pre-pandemic reference, in a cohort whose measured achievement has fallen relative to that same reference, is not a coherent description of Rhode Island eleventh graders. The most likely explanation is the PSAT-10 to SAT relationship, not the students.
The shape of the grade-11 distribution
Cohort norms are flat, as they must be. The ELA baseline distribution rises monotonically to 28% in the top decile — nearly three times its expected share. A shape like that is a property of the comparison, not of a cohort.
Recommendation on grade-11 baseline reporting
Withhold grade-11 baseline SGPs from public reporting
Grade-11 baseline growth percentiles should be withheld from public reporting until the PSAT-10 to SAT linking question is resolved, and the reason should be stated publicly rather than left as a silent omission. Grade-11 cohort growth percentiles are unaffected and remain suitable for reporting and accountability use.
Why now
The conditional and cross-sectional measurements contradict each other.
The baseline distribution is piled at its ceiling.
The growth window is a single prior, so the estimate is maximally sensitive to any change in the prior-to-current relationship.
What would resolve it
Confirmation from the College Board on the comparability of the current score conversion with the 2019 administration.
Re-estimation of the grade-11 baseline against a post-transition norm period once one exists.
Until then, report grade-11 growth on cohort norms only.
Growth equity
Section five: growth by student group
Growth by student group (RICAS, 2026)
Group
ELA
Mathematics
Cohort
Baseline
Cohort
Baseline
English Learner
English Language Learners (ELL)
48.1/47/28.9/5,790
45.7/45/29.8/5,790
47.4/47/29.4/6,394
46.4/44/29.8/6,394
Non-English Language Learners (non-ELL)
50.1/50/28.9/40,156
48.0/47/29.4/40,156
50.2/50/28.8/40,068
48.1/47/29.7/40,068
Students w/ Disability
Students with Disabilities (IEP)
44.0/41/28.6/8,108
41.5/39/29.4/8,108
45.3/43/28.8/8,070
44.2/40/28.7/8,070
Students without Disabilities (Non-IEP)
51.2/52/28.7/34,066
49.1/49/29.2/34,066
50.8/51/28.7/34,623
48.7/48/29.8/34,623
Students with 504 Plan
50.1/50/29.3/3,772
47.9/47/29.9/3,772
50.8/52/29.5/3,769
48.7/49/30.5/3,769
Economically Disadv.
Economically Disadvantaged
48.1/47/28.9/25,797
45.7/44/29.5/25,797
47.7/46/29.1/26,269
46.0/43/29.8/26,269
Not Economically Disadvantaged
52.2/53/28.6/20,149
50.2/50/29.2/20,149
52.6/54/28.3/20,193
50.4/50/29.4/20,193
mean / median / SD / N, RICAS grades 4–8 pooled, 2026. Standard deviations added at the committee's request.
Equity gaps at a glance
Within-year growth is close to comparable across groups
Elevated following TAC comment
Group vs. comparison group
ELA
Mathematics
English learners
48.1 vs 50.1
47.4 vs 50.2
Students with disabilities
44.0 vs 51.2
45.3 vs 50.8
Economically disadvantaged
48.1 vs 52.2
47.7 vs 52.6
Mean cohort-referenced SGP, RICAS grades 4–8 pooled, 2026. Standard deviations differ by less than one point across every one of these groups.
Where achievement gaps are large, within-year growth is not. Cohort SGPs sit within a few points of 50 for every group. Students with disabilities are the one substantial exception, and that gap is consistent across both subjects.
Target attainment
Section six: catch-up / keep-up
What the target actually is
Revised following TAC comment
“Catch up” and “keep up” mean nothing without a stated horizon. In Rhode Island the target is proficiency by the end of the RICAS progression, so the horizon is not constant — it shrinks as students approach grade 8.
Grade
Horizon to target
Catch-up rate
Keep-up rate
Grade 4
3 years
24.1%
56.4%
Grade 5
3 years
26.1%
58.4%
Grade 6
2 years
22.1%
64.8%
Grade 7
1 year
15.5%
72.7%
Grade 8
same year
10.8%
82.8%
Cohort targets, RICAS, ELA and mathematics pooled, 2026. Horizon is the median number of years to the target.
As the horizon shrinks from three years to none, catch-up rates fall and keep-up rates rise — monotonically, in both subjects. Most of the apparent grade gradient is the target, not the students. Grade-to-grade comparisons are not meaningful unless the horizon travels with them.
Catch-up / keep-up attainment (RICAS, 2026)
Target attainment by prior achievement
12%
of lowest-prior-achievement students (<25th %ile) are on track to catch up N = 25,065 · 95% CI 11.5–12.3%
71%
of highest-prior-achievement students (>75th %ile) are on track to keep up N = 18,501 · 95% CI 70.3–71.7%
These are different students judged against different targets, so the two figures are not a gap. Denominators and intervals added at the committee's request.
Students entering below the 25th percentile face the steepest catch-up targets and attain them least often — the central equity concern for accountability use of these growth results.
Summary
Cohort-referenced SGPs show even conditional coverage across RICAS and SAT — suitable for accountability calculations.
Mathematics has recovered. Status is back to or above the 2019 distribution in every grade. The falling baseline SGP is rebound growth fading as recovery completes, not a decline in learning. This reverses the previous revision’s reading.
ELA is the genuine concern. It sits below the norm period on both the conditional and the unconditional measure, in most grades, and is not recovering.
A common scale-drift explanation is not supported for RICAS. The two subjects move in opposite directions; a linking event would move grades and subjects together.
Grade-11 baseline results should be withheld. They contradict every cross-sectional measurement of the same cohort and pile up at the ceiling of the distribution.
Within-year growth is comparable across student groups, with students with disabilities the substantial exception.
Catch-up / keep-up rates are not comparable across grades without their target horizon, which runs from three years at grade 4 to none at grade 8.
Questions for the TAC
Where the committee’s guidance is still needed
Baseline norm maintenance — genuinely open. The written comments point both ways: that the 2017–19 window may not represent normal growth and should be reset, perhaps pooling several two-year periods; and that re-anchoring destroys the very instrument that makes drift and recovery detectable. Both are right about something. Is the resolution a dual track — a fixed monitoring series plus a re-established reporting norm — and if so, on what cadence?
Is the ELA growth pattern the same phenomenon as the ELA equating pattern? This deck establishes that ELA is down on both conditional and unconditional measures. Whether that connects to the one-directional pattern reported in the MCAS ELA equating is checkable, and needs the Center and Cognia looking at both sets of numbers together.
Form effects, designed once. Rhode Island’s form-effects question and Cognia’s validation question appear to be the same study. Should RIDE commission a single design, and approach Massachusetts jointly — population invariance being a requirement of equating rather than a courtesy?
Reporting guardrails. Proposed: never publish a baseline SGP without the cohort SGP beside it; do not use baseline SGPs in accountability while the drift question is open; withhold grade-11 baseline entirely. Are these the right three?
Thank you
RIDE Technical Advisory Committee
Rhode Island 2026 SGP Analyses
Damian W. Betebenner · National Center for the Improvement of Educational Assessment