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W3 R84: independent actual source/ascertainment evidence and original figure ledger

Scientific research evidence · 21 October 2026 · synthetic independent recovery of otherwise missing Y only

Conditional scalar model learning, NOT field MNAR identification or 90% inference

R84 supplies truly external synthetic source observations for randomly selected originally missing values. The ordinary eye tracker and stable function-on-scalar API have no way to recover these values. The model assumes a fixed parametric selection form and uses a visible-only pilot, with no confidence interval or simultaneous band. W3 #289/#296 OPEN, stable 1.1.0 unchanged, v1.2/PyPI RELEASE HOLD.

Original and independent immutable evidence

Acceptance criterion Independently validated result
Prospectively frozen original R84 experiment Research draft PR #427
Actual original source workflow #39581392688: 12/12 science jobs successful
Original SHA256 source evidence Artifact #12336507240
Frozen original science PR-merge checkout 6170c5b5941f55a5083cf57dc11293a229d2f9e1
Independently coded research audit R84-A draft PR #428
Mandatory independent actual source archive replay #39582618020: 4/4 independent jobs successful
Independent audit evidence Artifact #12338291302
True new primitive generating blocks per cell 32
Complete X/Y source-condition datasets 256
Original paired selection masks 512: MAR (true δ=0) and MNAR (true δ=1.1)
Nested recovery levels 0%, 25%, 50% of otherwise missing gaze coordinate/trial outcomes
Original and independent diagnostic rows 1,536, not independent replications
Independent numerical estimators Original deterministic Newton score and separately implemented bounded bisection
Zero external recovery No fitted δ and no δ estimation error (NULL, not zero)
Public missingness behavior Original native regression refuses incomplete common-grid gaze
Inference or release decision No MNAR identification generally; no interval/band, no version 1.2/PyPI release

The new source RNG streams were prospectively fixed at 202610218480 (complete X/Y source), 202610218481 (original MAR/MNAR masks), and 202610218482 (independently randomized external recovery). The original source family retains correlated Gaussian functional trial innovations, independent-unit Student-t5 radial shocks and rare signed asymmetric unit shock.

The visible-only mean pilot never uses newly rescued outcomes or generating truth. The scalar selection-model likelihood receives Y only for originally visible or independently recovered missing samples. The true generating δ is used only for source performance evaluation, not model fitting.

Figure 1 — identified-information contrast and source controls

Mean source fitted selection δ from independently ascertained missing outcomes

Figure 1. Source-mean fitted parameter under the primary two-extreme independent-unit, predictor-heteroskedastic condition. Dashed true-source δ values are for simulation validation only.

Source condition True δ 0% recovered 25% recovery: mean fitted δ 50% recovery: mean fitted δ
Curves, MAR 0 Not fitted .013817 .006390
Curves, MNAR 1.1 Not fitted 1.040799 1.024667
Participants, MAR 0 Not fitted .030567 .019544
Participants, MNAR 1.1 Not fitted 1.002535 .997599

All positive-recovery cells above used 32 independently generated sources and had 32 converged scalar coefficient fits. A converged point estimate is not proof that the model was correctly specified, nor a confidence interval.

Figure 2 — all eight prespecified MNAR source condition errors

Mean absolute parameter error comparing 25 and 50 percent independent missing-outcome rescue

Figure 2. Absolute fitted δ minus true simulator MNAR δ=+1.1, averaged over 32 genuinely new independent generating blocks in each cell.

True source design Extreme signed units Source variance law 25%: mean abs δ error 50%: mean abs δ error
Curves 2 Constant .124218 .086253
Curves 2 Heteroskedastic .111574 .081827
Curves 16 Constant .124788 .082971
Curves 16 Heteroskedastic .141423 .150632
Participants 2 Constant .109547 .086078
Participants 2 Heteroskedastic .116945 .112901
Participants 16 Constant .094400 .087128
Participants 16 Heteroskedastic .199109 .199912

Higher recovery often reduces source-mean realized absolute error but is not uniformly beneficial in every small finite-source cell. That is compatible with noisy recovery, source-level dependence and the visible-only pilot being an imperfect conditional-mean specification; the experiment has no interval or consistency guarantee.

Figure 3 — independently measured formerly unobserved Y

Number of otherwise missing coordinate values externally recovered in original source

Figure 3. New observed coordinate/time/trial values supplied to a synthetic selection estimator, not additional independent people.

Two-anchor heteroskedastic source Mean missing values recovered, 25% Mean missing values recovered, 50%
Curves, MAR 174.4375 350.7188
Curves, MNAR 189.5938 376.5000
Participants, MAR 317.0000 634.8750
Participants, MNAR 362.1563 726.7188

For each original complete source, the 25%-recovered otherwise missing observations are a subset of the 50%-recovered observations through one independent recovery uniform field. 0% supplies no new outcomes, so neither the MAR nor MNAR δ is fitted at all.

Scientific conclusions that remain unsupported

The archive reproducibly answers whether a particular parametric selection score, using a visible-only pilot and additional independent synthetic missing-response ascertainment, yields informative scalar fitted δ values in these source conditions. It does not show that lost gaze can be externally remeasured, that random ascertainment can be implemented on a real participant's historical gaze, or that the recovered-outcome model remains valid with covariate-dependent validation, misclassified samples, unknown recovery fractions or a misspecified MNAR family.

The conditional scalar coefficient is not the complete time×coordinate functional slope and it supplies no full-function inference covariance. No nominal 90% calibration, source-independent interval coverage, or nonparametric MNAR identification is established, even though all original synthetic source diagnostics have been independently recreated.

Read the R84 scientific article · Methods companion · Previous R83 five-assumption sensitivity experiment