A post-hoc hybrid model combining Triple Code's three format-specific arithmetic factors with Encoding Complex's direct executive attention and language predictors fits best (CFI=.97)¶
Claim · All claims
Evidence · 1 study · associationalr2·q2
Currency · newest study 2017 · not yet checked against its sources · 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? The post-hoc hybrid full measurement model was an approximate excellent fit (χ2(124)=327.82, RMSEA=.04, CFI=.97), outperforming each theory's full model. → Rhodes Katherine T. 2017
q2 i? In the hybrid model, language-formatted problems appear largely executive attention tasks, with particularly low auditory verbal factor loadings once executive attention was modeled. → Rhodes Katherine T. 2017
Evidence¶
Rhodes Katherine T. 2017¶
Rhodes Katherine T., Branum-Martin Lee, Washington Julie A., Fuchs Lynn S. (2017). Measuring arithmetic: A psychometric approach to understanding formatting effects and domain specificity. Journal of Educational Psychology. https://doi.org/10.1037/edu0000189
q2 · i? · associational · r2
Post-hoc hybrid model, combining the Triple Code three-factor arithmetic structure with Encoding Complex direct predictors, in the N=1314 confirmatory factor analysis; the article reports it fit better than the Abstract Code (CFI=.87), Encoding Complex (CFI=.96), Triple Code (CFI=.95), and Exact versus Approximate (CFI=.88) full models.
"Global fit statistics indicated that this factor model was an approximate excellent fit for the data, (χ2 (124) = 327.82, p < .001, RMSEA = .04, CFI = .97)."
Discussion¶
Related Claims¶
- Third-graders' language-formatted, Arabic numeral-formatted, and estimation arithmetic outcomes are separable but highly related latent factors — related
- Executive attention is a significant direct predictor of all arithmetic outcomes across formats and problem demands, as predicted by Encoding Complex Theory — related
- Language is not a direct predictor of arithmetic outcomes once executive attention is accounted for, but language and executive attention are strongly related (r=.80 in the hybrid model) — related
- A three-factor, format-specific arithmetic measurement model (Triple Code Theory) fits third-graders' arithmetic data, while single-factor and two-factor models do not — related
- Arabic numeral formatted, small-problem-size outcomes (basic facts, computational fluency) retain high loadings on a specialized quantitative factor despite executive attention in the model — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
hybrid-triple-code-encoding-complex-model-best-fit |
title |
A post-hoc hybrid model combining Triple Code's three format-specific arithmetic factors with Encoding Complex's direct executive attention and language predictors fits best (CFI=.97) |
description |
A post-hoc hybrid model combining Triple Code's three format-specific arithmetic factors with Encoding Complex's direct executive attention and language predictors fits best (CFI=.97) |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2017 |
generated |
by process:wiki-ingest on 2026-10-24 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — rhodes-katherine-t-2017 |
Frontmatter is the page's machine-readable record — see the Schema & Guide.