Normality assumptions of the true score model appeared reasonable for the course-specific tests¶
Claim · All claims
Evidence · 1 study · associationalr2·q2
Currency · newest study 2022 · checked against its sources 2026-10-15 (automated, 1 of 1 entry) · not reviewed by a person · overdue for a recheck since 2025: tool and model accuracy changes quickly
Subclaims¶
Reading the evidence codes
q is the design tier, i the impact, n the sample, and the kind with its r
the rigour judged within that kind: what each code means.
This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.
q2 i? Examination of Q-Q plots, CDF curves, and residuals indicated the normality assumptions of the model "seemed reasonable" for the course-specific tests; in the worked example shown (Integrated Math 2), most data fell close to the 45-degree reference line except at the very low and high ends. → Wei He 2022
Evidence¶
Wei He 2022¶
Wei He. (2022). Achievement and Growth Norms for Course-Specific MAP® Growth™ Tests. NWEA Research Report. https://www.nwea.org/research/publication/achievement-and-growth-norms-for-course-specific-map-growth-tests/
q2 · i? · associational · r2
Graphical diagnostic analysis (Figures 3.2–3.5) of Integrated Math 2 RIT scores and true score model residuals across fall, winter, and spring terms. The report concludes "these graphs support the assumption of marginal normality for the Integrated Math 2 test" and that normality also seemed reasonable from the scatterplot matrix.
"The Q-Q plots indicate that most of the data fall close to the 45-degree reference line except at the very low and high ends, suggesting that normality was a reasonably good approximation"
Discussion¶
Related Claims¶
- Q-Q plots, CDF curves, and residual checks support the joint normality assumption underlying the multivariate true score model for the course-specific tests. — possibly the same claim (merge candidate)
- The multivariate normality assumption of the norming model was judged met for all domains and grades, despite some tail deviations in Q-Q plots — possibly the same claim (merge candidate)
- The multivariate normality assumption of the true score model was judged reasonable for all domains and grades — possibly the same claim (merge candidate)
- True-score-model correlations between term scores exceed 0.90 for almost all course-specific tests — related
- The outcome data met t-test assumptions: Lilliefors normality (Lo < Lt for both classes) and variance homogeneity (F count 0.579 < F table 1.84) — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
normality-assumption-reasonable-course-specific |
title |
Normality assumptions of the true score model appeared reasonable for the course-specific tests |
description |
Normality assumptions of the true score model appeared reasonable for the course-specific tests |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2022 |
source_checked |
2026-10-15 |
recheck_by |
2025 |
generated |
by process:wiki-ingest on 2026-10-08 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — wei-he-2022 |
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