FCI change-score versus pretest-score data from three classes show linear relations at high pretest scores and curving-down at low scores, diagnosable as α- versus γ-process dominance¶
Claim · All claims
Evidence · 1 study · theoreticalr3·q2
Currency · newest study 2007 · not yet checked against its sources · not reviewed by a person
Subclaims¶
Reading the evidence codes
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This claim: no standardized effect is recorded in observations/ for it yet, so no benchmark reading is possible.
q2 i? Real FCI data from three calculus-based mechanics classes show a fairly linear change-score relation with pretest score above 0.5, with one class showing curving down at low pretest scores. → Lei Bao 2007
Evidence¶
Lei Bao 2007¶
Lei Bao. (2007). Dynamic Models of Learning and Education Measurement. https://arxiv.org/abs/0710.1375 doi:10.48550/arxiv.0710.1375
q2 · i? · the article prints no effect size for this finding · theoretical · r3
Numerical analysis (Section V) of real FCI data from three classes (interactive labs N1~350; traditional N2~1500; honors N~200), plotted as binned averages with standard errors less than 0.02. The data show a 'fairly linear relation' above pretest 0.5 and curving down at low scores for one class.
"In general, the change score shows a fairly linear relation with the pretest score especially for the part where pretest score is greater than 0.5. This is consistent with the theoretical curves shown in Figure 3, in which the logistic model (γ-process) shows more non-linear trend with pretest score below 0.5."
Discussion¶
Related Claims¶
- High-ability students' learning behaves as a dominant α-process even at low pretest scores, while average-ability students show more γ-process behavior — related
- The two compared classes started with equivalent understanding of Newtonian mechanics — related
- When the γ-process (associative interaction of correct and incorrect knowledge) is considered, the normalized gain correlates positively with pretest score — related
- Under a dominant α-process, the normalized gain contains no pretest-score term and is uncorrelated with pretest score if α is uncorrelated with pretest score — related
- Students in a technology-enhanced modeling physics class learned significantly more than students in an otherwise identical no-technology class — related
- Hake's survey found interactive-engagement courses achieved average normalized gains about two standard deviations greater than traditional courses, with overall gain–pretest correlation of +0.02 — related
- In Harvard's introductory physics course, average FCI posttest scores and normalized gain rose sharply in the year it switched from traditional lectures to Peer Instruction — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
fci-change-score-curves-diagnose-processes |
title |
FCI change-score versus pretest-score data from three classes show linear relations at high pretest scores and curving-down at low scores, diagnosable as α- versus γ-process dominance |
description |
FCI change-score versus pretest-score data from three classes show linear relations at high pretest scores and curving-down at low scores, diagnosable as α- versus γ-process dominance |
status |
review |
evidence_strength |
moderate |
newest_evidence |
2007 |
generated |
by process:wiki-ingest on 2026-09-25 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — lei-bao-2007 |
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