Scope
Chapter “The admissibility frontier”, section “the third edge tests the whole triangle”. This is assertion 2 of 3 in that section.
Expanded claim page · assertion 2 of 3
the third edge tests the whole triangle
Experiment / protocolBuilder
Defines a measurement, sensitivity calculation or empirical decision rule. constructs a model, mechanism, calculation, protocol or intervention.
Exact assertion
The complete three-source protocol has 27 signed settings. Nineteen settings—one origin, six axes and twelve pair corners—recover the ten coefficients of a symmetric quadratic response and leave nine pair-plane closure tests. The eight corners where all three sources are nonzero are held out. They ask whether the fitted pairwise story predicts genuinely joint records without adding a three-way term after seeing the answer.
What this commits us to
The claim concerns a protocol, sensitivity or decision rule. It must be kept separate from a prediction that a nonzero signal exists.
Logical anatomy
Evidence posture
Separate predicted signal from sensitivity, calibration and decision protocol.
Research move
constructs a model, mechanism, calculation, protocol or intervention.
Verification route
- Recover the declared objects and assumptions from the controlling documents.
- Check the calculation, construction, obstruction or stopping rule on those same objects.
- Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
- Apply the status rule and retain every named external dependency.
What would move or defeat this claim
Specify the apparatus, calibration, null distribution, preregistered threshold and independently predicted effect size.
Source map
Controlling documents
- admissibility 74 one family triangle and global positivity gateOpen controlling document →
- admissibility 73 signed edge extraction and cycle auditOpen controlling document →
- admissibility 66 contextual triangle bound reduces to standard positivityOpen controlling document →