Round 11: response to reviewers
Protocol version reviewed: 0.11.0. Revised version: 0.12.0.
Verdicts: GPT-6 Astra MAJOR REVISION; Fable 5.1 ACCEPT; Grok 4.7 MINOR REVISION. Every comment is answered below and recorded in ../comments.csv.
Summary of main changes
- Uncertainty of curve inverted hazards: reported or author supplied joint covariance through the Jacobian of the inversion; no event counts inferred from curves; otherwise the route is unavailable.
- Shared draw for subdivided intervals; separate Kaplan-Meier condition; the interval to the analyzed horizon; d_k defined for the exponential route.
- Scenarios under a reported Aalen-Johansen source; data items for curves and their covariance; front matter date.
GPT-6 Astra (gpt-6-astra)
C11-1 (major; Competing risks). Curve derived counts and variances are not identified.
Response (revised). Agreed; your rule adopted. Counts are not inferred from curve increments and numbers at risk; curve inversion requires a reported or author supplied joint covariance of the curve ordinates, propagated through the Jacobian of the inversion and preserved in pooling; otherwise the route is unavailable and another eligible route is kept. Reported counts with valid person time keep the 1/d_k approximation. fable-5.1 (F11-2a) and grok-4.7 (G11-1) proposed explicit reconstruction formulas; we did not adopt them because, as your counterexample shows, within interval censoring leaves the counts unidentified, and even known counts do not give the variance of a curve inverted log hazard.
C11-2 (minor; Absolute effects). Scenario wording required hazards for the reported incidence route.
Response (revised). Agreed; scenarios use the reported Aalen-Johansen value when that is the source, otherwise the cumulative incidence from the arm own qualifying hazards.
Fable 5.1 (fable-5.1)
F11-1 (minor; Competing risks). Shared uncertainty across subdivided grid intervals.
Response (revised). Agreed; hazards are carried onto grid intervals with their uncertainty and as one draw.
F11-2 (minor; Competing risks). Count reconstruction; Kaplan-Meier condition; final partial interval; number at risk rule.
Response (partly revised). Partly adopted. (a) Count reconstruction was replaced by the joint covariance requirement of C11-1, so no counts are reconstructed from curves; (b) the Kaplan-Meier condition 0 < S_k(t_e) < S_k(t_s) is stated; (c) the interval from the last published time to the analyzed horizon is a reported interval when the curve extends to it; (d) count intervals do not need a published number at risk (the number at risk rule no longer exists).
F11-3 (minor; Absolute effects). Scenario wording.
Response (revised). Agreed; see C11-2.
F11-4 (minor; Front matter). Date.
Response (revised). Agreed; dated 2026-10-13.
Grok 4.7 (grok-4.7)
G11-1 (minor; Competing risks; data items). Curve count equation; Kaplan-Meier condition; number at risk rule; exponential count; data items wording.
Response (partly revised). Partly adopted. The reconstructed count equations were not adopted (see C11-1: curve inversion now requires reported or author supplied joint covariance); the separate Kaplan-Meier condition, count intervals without a number at risk, the definition of d_k for the exponential route, the data items wording and one shared draw for subdivided intervals are adopted.
G11-2 (minor; Absolute effects). Scenarios under a reported cumulative incidence.
Response (revised). Agreed; your wording adopted (see C11-2).