Round 14: response to reviewers
Protocol version reviewed: 0.14.0. Revised version: 0.15.0.
Verdicts: GPT-6 Astra ACCEPT; Fable 5.1 ACCEPT; Grok 4.7 MINOR REVISION. GPT-6 Astra raised no comments. Every comment is answered below and recorded in ../comments.csv.
Summary of main changes
- Competing risk pooling: explicit one arm draw, exponentiation of log hazard draws, and the definition of y_a and V_a for counts.
- A single shared interval from 0 to the horizon is the exponential approximation, with its support judgment and label.
- Absolute effects: PR16 cited for competing risk routes; Kaplan-Meier values and rates pooled on the log cumulative hazard under PR17.
Grok 4.7 (grok-4.7)
G14-1 (minor; Competing risks). The one arm rule contradicted the predictive draw, and exponentiation was not stated.
Response (revised). Agreed; your text adopted: with one covering arm u_new is not drawn and each draw is from N(y_a, V_a); with two or more, mu + Z u_new at that draw tau_k; hazards are the exponentials of the log hazards, integrated jointly; scenario draws are exponentiated before integration. fable-5.1 (F14-3) raised the one arm point too.
G14-2 (minor; Competing risks). y_a and V_a not assigned for counts.
Response (revised). Agreed; y_a is the vector of estimated log hazards, one coordinate per event and common interval, in that order, and for counts V_a is diagonal with variances approximately 1/d_k.
G14-3 (minor; Competing risks). A single shared interval skipped the constant hazard gate; d_k ambiguous.
Response (revised). Agreed; your text adopted: when the identical boundaries are the single interval from 0 to the horizon, the piecewise fit is the exponential approximation, with its support judgment and label; the separate exponential route applies only when the piecewise route is unavailable and every arm supplies counts and person time from 0 to the horizon; d_k is the count from 0 to the horizon. fable-5.1 (F14-1) raised the same overlap.
Fable 5.1 (fable-5.1)
F14-1 (minor; Competing risks). One interval per arm belonged to two routes.
Response (revised). Agreed; resolved with the wording of G14-3, which also settles arms whose totals cover different follow-up: only counts from 0 to the horizon qualify for the single interval.
F14-2 (minor; Absolute effects). PR17 cited where PR16 applies.
Response (revised). Agreed; now "heterogeneity prior PR17; PR16 for the competing risk routes".
F14-3 (minor; Competing risks). One arm distribution implicit.
Response (revised). Agreed; see G14-1.
F14-4 (minor; Absolute effects). Pooling scale for mixed Kaplan-Meier and rate inputs.
Response (revised). Agreed; your text adopted: both enter one model on the log cumulative hazard at the horizon (log{-log(1-F)} with delta method variance; log(lambda t) with variance approximately 1/d) under PR17.
F14-note (note; Priors; absolute effects). PR16 scale 1 versus 0.5 without stated reason; reported Aalen-Johansen values that miss the horizon remain deferred.
Response (noted; deferred to amendment). PR16 uses Half-normal(0; 1^2) to match PR17 and the weakly informative log scale used for baseline risks, with 0.5 and 2 as sensitivity priors; the horizon matter stays deferred to the pre-analysis amendment, as agreed in round 12.
GPT-6 Astra (gpt-6-astra)
No comments; verdict ACCEPT.