Proportions of variance explained follow a curvilinear pattern across the six taxonomy levels¶
Claim · All claims
Evidence · 1 study · associationalr2·q2
Currency · newest study 1971 · not yet checked against its sources · not reviewed by a person
Evidence quality · No study behind this claim is a peer-reviewed article with a DOI: it rests on an ERIC document (a report, conference paper or thesis). It is kept because a design page cites it; treat it as a lead to check, not an established finding.
Subclaims¶
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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? Proportions of variance explained increased steadily from Knowledge to Application and then decreased from Analysis to Evaluation, contradicting the expectation of steadily increasing direct links under the cumulative hierarchy. → Madaus 1971
Evidence¶
Madaus 1971¶
Madaus, George F.; Nuttall, Ronald L.; Woods, Elinor M. (1971). A Causal Model Analysis Suggests Modification of the Cumulative Hierarchical Structure Assumed in Bloom's Taxonomy of the Cognitive Domain. https://eric.ed.gov/?id=ED054203
q2 · i? · the article prints no effect size for this finding · associational · r2
Pattern observed in Tables 2-4 and Figure 3 summarizing proportions of variance across the 16 replications. The authors note that if lower-level behaviors were cumulatively integrated, variance explained should increase steadily rather than decline at the upper levels.
"The curvilinear pattern of the proportions of variance explained over the six thxonomic levels should be noted.The proportions of variance increase steadily at the lower levels from Knowledge to Application and then decrease at the higher levels from Analysis to Evaluation."
Discussion¶
Related Claims¶
- Students perform better overall on LOCS exam questions than on HOCS exam questions — the general claim this finding bears on, with the studies behind it
- Causal model analysis of taxonomy test data suggests a Y-shaped structure rather than Bloom's cumulative hierarchy — related
- The g-factor's relationship to the higher taxonomy levels declines across grade levels — related
- Information at higher levels of an acquired hierarchical organization is recalled better than information at lower levels — related
- All four LLMs award a smaller share of available marks as bash question cognitive complexity increases, with L4 questions receiving the lowest proportions — related
- No evidence for a curvilinear relationship between arousal and test performance — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
curvilinear-variance-pattern-across-taxonomy-levels |
title |
Proportions of variance explained follow a curvilinear pattern across the six taxonomy levels |
description |
Proportions of variance explained follow a curvilinear pattern across the six taxonomy levels |
status |
review |
evidence_strength |
moderate |
newest_evidence |
1971 |
generated |
by claude/unspecified on 2026-09-25 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — madaus-1971 |
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