Quadratic latent growth fits MAP longitudinal achievement data better than linear growth across ten states¶
Claim · All claims
Evidence · 1 study · associationalr2·q2
Currency · newest study 2013 · checked against its sources 2026-10-20 (automated, 1 of 1 entry) · not reviewed by a person
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? In nested MLGM comparisons, all BIC differences between quadratic and linear models exceeded 10 in both reading and mathematics, favouring the quadratic model. → Wang 2013
Evidence¶
Wang 2013¶
Wang, S., Jiao, H. and Zhang, L. (2013) 'Validation of longitudinal achievement constructs of vertically scaled computerised adaptive tests: a multiple-indicator, latent-growth modelling approach', Int. J. Quantitative Research in Education, Vol. 1, No. 4, pp.383–407. https://www.nwea.org/research/publication/validation-of-longitudinal-achievement-constructs-of-vertically-scaled-computerised-adaptive-tests-a-multiple-indicator-latent-growth-modelling-approach/ doi:10.1504/ijqre.2013.058307
q2 · i? · associational · r2
Nested model comparisons of linear versus quadratic MLGM fitted to MAP reading and mathematics data in ten states, using AIC, BIC and χ2 difference tests. The article reports "all differences between quadratic and linear models are greater than 10" on BIC; no effect size is printed.
"For BIC, all differences between quadratic and linear models are greater than 10 in both reading and mathematics, which indicate that the quadratic model fits the data better than the linear model."
Discussion¶
Related Claims¶
- MLGM model fit failed for the Indiana mathematics test, the sole exception to invariance support — related
- A one-factor unidimensional model is the most reasonable fit for MAP computerized adaptive Reading and Mathematics tests across grades, terms, and ten states, though Michigan Mathematics misses the RMSEA criterion — related
- The authors conclude that MAP reading and mathematics CAT constructs are invariant across five time points in ten states (except Indiana mathematics), though their mathematics tables show strong-invariance CFI drops above 0.01 in most states — related
- Establishing longitudinal factorial invariance is neither sufficient nor necessary for examining developmental change — related
- For Han students, metacognitive knowledge followed a quadratic (accelerating) growth model while vocabulary breadth followed a linear growth model, and initially high vocabulary knowledge predicted faster later vocabulary growth — related
- MAP tests show metric invariance across grades for all studied tests except Michigan Mathematics tests — related
- Verbal working memory shows non-linear growth from ages 3–19, with the most rapid growth during childhood and a brief accelerated period during early adolescence — related
- Across 90 grade-subject-level conditions, the three-piece piecewise model showed the lowest deviance for 64% of student-level and 78% of school-level models, outperforming both compound polynomial candidates — related
- When PSID-CDS data are restricted to ages 6–11, backward digit span growth is best characterized by a quadratic (not cubic) function — related
- Achievement across the four instructional units followed a non-linear, sinusoid-like pattern with a pronounced drop in the final measure, and a non-linear latent growth model fit better than a linear one — a narrower finding that bears on this claim
- Non-linear (Goldilocks) effects of expectations and aspirations on outcomes are small and largely non-significant — related
- The relation of autonomous motivation to grades is curvilinear, with grades accelerating at higher autonomous motivation — related
- Math achievement growth from preschool through second grade is best characterized by a latent basis curve rather than linear, exponential, or quadratic functions — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
quadratic-growth-fits-map-better-than-linear |
title |
Quadratic latent growth fits MAP longitudinal achievement data better than linear growth across ten states |
description |
Quadratic latent growth fits MAP longitudinal achievement data better than linear growth across ten states |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2013 |
source_checked |
2026-10-20 |
generated |
by process:wiki-ingest on 2026-10-08 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — wang-2013 |
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