feat(api): serve scientific acceptance only on loopback status GET

CHANGELOG.md

@@ -38,6 +38,8 @@ All notable changes to TEPP are documented here. The format follows Keep a Chang
 
 ## [Unreleased]
 
+- `tepp_api` loopback `AnalysisRunLiveService` now serves `GET /v1/analysis-runs/{run_id}` so accepted/running statuses stay metric-free and only a succeeded status with profile `scientific_acceptance_v1` may return `tepp.scientific_acceptance.v1`. Receipt RMSE/bias/coverage/SE-gate keys, a GET body, failed-plus-artifact emission, an all-zero digest, and digest mismatch fail closed. This is the GAP-003A HTTP status slice for issue #166; it does not duplicate the `analysis_engine` library bind (#356) or the terminal-result DTO wire (#358); persistence remains GAP-003B.
+
 - `event_core` adds bounded Allen interval-consistency classification, atomic path-consistency closure, contradiction/resource refusals, and an explicit dependency-error fallback without claiming unrestricted global satisfiability.
 
 - `psychometric_core` recovers the Driver, Oud, and Voelkle (2017, Table 2, p. 12 `MANIFESTTRAITVAR`; §7.1, p. 19; p. 16 `MANIFESTTRAITVARstd`; footnote 4; 2017-era ctsem `summary.ctsemFit.R`; JSS PDF re-opened 2026-08-27T14:20Z from https://www.jstatsoft.org/index.php/jss/article/download/v077i05/1104) scalar standardised manifest-trait variance on current main after `0ce16e8` dropped the pre-consolidation code while research notes already named the map (register items 83–84). Table 2 names `MANIFESTTRAITVAR` `Ψ_τ` the additional time-invariant variance-covariance on the measurement level and sets it `NULL` when there is no manifest trait. Equation 5 writes `Γ ~ N(τ, Ψ)` and names that covariance the manifest traits. Section 7.1 names manifest traits stable individual differences in indicator levels, distinct from process-level `TRAITVAR` `φ_ξ`. Page 16 prints standardised matrices with the suffix `std` when appropriate. The printed example on p. 16 is `discreteDRIFTstd`, not `MANIFESTTRAITVARstd`. Footnote 4 standardises using only the relevant variance, not the total. The relevant variance for that named indicator-level correlation is `MANIFESTTRAITVAR`, not process-level `TRAITVAR` and not residual `MANIFESTVAR` `θ`. The 2017-era source forms `MANIFESTTRAITVARstd` only when `MANIFESTTRAITVAR != 0`, as `solve(sqrt(diag(MANIFESTTRAITVAR) + ridging)) %&% MANIFESTTRAITVAR` when `verbose = TRUE`. OpenMx `%&%` is `t(A) %*% B %*% A`. Unlike `TRAITVARstd`, that formation adds `diag(c(ridging), n.manifest)`. The default `ridging = FALSE` adds 0, not `0.0001`; that ridge is a numerical hack and is not this exact map. The scalar correlation is `ψ / ψ = 1` after strictly positive `MANIFESTTRAITVAR`. Form strictly positive `ψ` first, then `1 / √ψ`, then `(1 / √ψ) ψ (1 / √ψ)`. Unstandardised `MANIFESTTRAITVAR` is defined for a zero trait; standardised `MANIFESTTRAITVAR` is not. Zero `MANIFESTTRAITVAR` skips forming `MANIFESTTRAITVARstd` in the 2017-era source and fails closed here. Indicator-level trait variance is an event-time structural quantity, so a non-event clock fails closed. `MANIFESTTRAITVAR` does not require stable `a < 0`. Distinct positive `ψ` recover the same 1. `trait / trait = 1` is `TRAITVARstd` and recovers the same number and remains a distinct named quantity. `θ` is `MANIFESTVAR` and is measurement error, not this correlation. Meredith (1993) remains unread (web search 2026-08-27T14:20Z: Springer/Cambridge Core paywalled; Unpaywall historically `is_oa: false`; Springer `content/pdf` is an HTML stub). Mislevy (1991, *Psychometrika, 56*, 177–196) remains unread on the same terms (DOI `10.1007/bf02294457`). Still not a Kalman filter, not a matrix `expm`, not ESEM estimation, not DSEM, and not ctsem estimation.

crates/psychometric_core/src/error.rs

@@ -1384,6 +1384,25 @@ mod tests {
             PsychometricError::InitialObservedMeanIsNotEvolvedObservedMean.to_string(),
             "first-occasion observed mean is not the evolved observed mean"
         );
+        assert_eq!(
+            PsychometricError::StandardisedManifestVarianceRequiresPositiveManifestVariance
+                .to_string(),
+            "standardised measurement-error variance requires strictly positive measurement-error variance"
+        );
+        assert_eq!(
+            PsychometricError::UnstandardisedManifestVarianceIsNotStandardisedManifestVariance
+                .to_string(),
+            "unstandardised measurement-error variance is not standardised measurement-error variance"
+        );
+        assert_eq!(
+            PsychometricError::StandardisedManifestTraitVarianceIsNotStandardisedManifestVariance
+                .to_string(),
+            "standardised manifest-trait variance is not standardised measurement-error variance"
+        );
+        assert_eq!(
+            PsychometricError::ObservedVarianceIsNotStandardisedManifestVariance.to_string(),
+            "observed-indicator variance is not standardised measurement-error variance"
+        );
     }
 
     #[test]