Rhode Island 2026 SGP Analyses

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 VV, 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

  1. What was run — RICAS and PSAT/SAT analyses, cohort and baseline
  2. 2026 results — overall growth and model fit
  3. Growth in context — baseline growth read against the norm period
  4. Grade 11 — why the baseline results are withdrawn
  5. Growth equity — results by student group
  6. Target attainment — catch-up / keep-up, and what the target actually is
  7. 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.
  • Source code is public on GitHub:

Reproducible pipeline

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

Stacked bar chart of the share of students at low, typical and high growth by grade, in panels for each subject and for cohort and baseline norms. Dashed lines mark one-third and two-thirds; cohort norms split about evenly, while baseline norms shift with recovery or drift.

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.

RICAS ELA — cohort model fit, 2026

ELA Grade 4
ELA Grade 4
ELA Grade 5
ELA Grade 5
ELA Grade 6
ELA Grade 6
ELA Grade 7
ELA Grade 7
ELA Grade 8
ELA Grade 8

RICAS Mathematics — cohort model fit, 2026

Mathematics Grade 4
Mathematics Grade 4
Mathematics Grade 5
Mathematics Grade 5
Mathematics Grade 6
Mathematics Grade 6
Mathematics Grade 7
Mathematics Grade 7
Mathematics Grade 8
Mathematics Grade 8

SAT — cohort model fit, 2026

ELA - SAT (grade 11)
ELA — SAT (grade 11)
Mathematics - SAT (grade 11)
Mathematics — SAT (grade 11)

Cohort vs. baseline fit — ELA Grade 7

ELA Grade 7 - Cohort norms
ELA Grade 7 — Cohort norms
ELA Grade 7 - Baseline norms
ELA Grade 7 — Baseline norms

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

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)

Line chart of mean baseline SGP over time, one line per grade and one panel per subject. A dashed line at 50 marks the norm-period rate of learning.

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 VV:

E[Fb(Yc)]=Pr(Yb<Yc)=AUC,V=2Φ−1(AUC)\mathrm{E}\left[F_b(Y_c)\right] \;=\; \Pr\!\left(Y_b < Y_c\right) \;=\; \mathrm{AUC}, \qquad V \;=\; \sqrt{2}\,\Phi^{-1}(\mathrm{AUC})

YbY_b, YcY_c — scores drawn at random from the norm period (2019) and from the current year (2026)  ·  FbF_b — the norm-period distribution function, so Fb(y)F_b(y) is the share of norm-period students scoring below yy; Fb(y∣x)F_b(y \mid x) is its conditional form, given prior score xx  ·  E[⋅]\mathrm{E}[\,\cdot\,] — an average, here over the current-year cohort  ·  AUC\mathrm{AUC} — that average, equivalently Pr(Yb<Yc)\Pr(Y_b < Y_c)  ·  Φ−1\Phi^{-1} — 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

Three panels. A: the norm-period distribution of the current score at each prior score, with the lower tail below one student's score shaded - the baseline SGP. B: those conditional distributions averaged over the prior into a single marginal distribution, with the area below the same student's score shaded. C: the probability-probability plot, with the area above the curve shaded and labelled AUC. Below: the expectation of F_b(Y_c) equals the probability that Y_b is less than Y_c, which equals AUC, and V equals root two times the inverse normal of AUC.

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 VV. 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

Line charts by grade over time comparing two measures against the same 2017–19 reference: where this year's score distribution sits in the norm-period distribution, and mean baseline SGP, in panels by subject. A dashed line marks 50.

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

Probability–probability plots, one panel per subject and grade, of this year's score percentiles against the norm-period distribution, with a dashed diagonal. A curve above the diagonal means the distribution has moved down.

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?

Scatter plot with one labeled point per grade and subject: change in percent proficient since the norm period on the horizontal axis against mean baseline SGP on the vertical axis, with dashed reference lines at zero change and at 50.

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.

ELA Grade 7 over time — goodness of fit

ELA Grade 7 - 2023
ELA Grade 7 — 2023
ELA Grade 7 - 2024
ELA Grade 7 — 2024
ELA Grade 7 - 2025
ELA Grade 7 — 2025
ELA Grade 7 - 2026
ELA Grade 7 — 2026

Mathematics Grade 6 over time — goodness of fit

Math Grade 6 - 2023
Math Grade 6 — 2023
Math Grade 6 - 2024
Math Grade 6 — 2024
Math Grade 6 - 2025
Math Grade 6 — 2025
Math Grade 6 - 2026
Math Grade 6 — 2026

Diagonal: following the 2026 Grade-8 cohort

Grade 6 - 2024
Grade 6 — 2024
Grade 7 - 2025
Grade 7 — 2025
Grade 8 - 2026
Grade 8 — 2026

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

Bar charts of the full grade-11 growth percentile distribution by decile, in panels for each subject and norm. A dashed line marks the 10% each decile holds in the reference population.

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

Horizontal bar chart of mean SGP for each student group, RICAS ELA and mathematics pooled, with cohort and baseline bars side by side and one panel per demographic dimension. A dashed line marks 50.

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)

Bar chart of the percentage of students on track to catch up or keep up, by grade and horizon to target, one panel per subject. Bars show 95% intervals and the number of students.

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

  1. 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?
  2. 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.
  3. 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?
  4. 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