Responder Floor Atlas

Q1 — Framing flip rate

Metric	Value	95% CI (clustered bootstrap)
Reviews pooled	4	—
Framing flips (α=0.05)	1 (25.0%)	[0.0%, 75.0%]
Magnitude flips (|Δ logRR|>0.1)	4 (100.0%)	—

Q2 — Reconstruction fidelity

Instrument	n trials	Median |ε|	95th percentile	% |ε|>0.05
bmi_change	236	0.3017	0.7276	93.6%
body_weight_kg	586	0.2596	0.6396	88.7%
body_weight_pct	699	0.2244	0.6676	83.3%
sf36_mcs	172	0.2738	0.6502	91.9%
sf36_pcs	172	0.3480	0.5858	91.9%
sf36_physical_function	148	0.3129	0.5471	94.6%

Distribution of |ε| by instrument

Bland–Altman: reconstructed vs observed responder proportions

Q3 — Implied-MID atlas

Instrument	n trials	Median implied MID	95% range
bmi_change	236	2.853	-38.507–8.712
body_weight_kg	586	7.995	-89.826–23.916
body_weight_pct	699	6.681	-6.188–22.772
sf36_mcs	172	3.669	-14.813–18.858
sf36_pcs	172	6.591	-8.184–20.018
sf36_physical_function	148	7.728	-8.466–22.684

Bootstrap CIs on implied-MID ratio (empirical / canonical)

Q4 — Cross-review trial overlap

Of 120 unique trial-instrument combinations, 7 appeared in ≥2 reviews (max overlap = 2 reviews). 113 were unique to a single review.

Instrument	Trial	Reviews (n)	Review IDs	δ̂ range	δ̂ min–max
bmi_change	O'Neil 2018	2	CD015092_pub2, CD016017	8.205	-1.026–7.179
body_weight_kg	O'Neil 2018	2	CD015092_pub2, CD016017	23.661	-3.987–19.674
body_weight_kg	STEP 8	2	CD015092_pub2, CD016017	30.507	-12.286–18.220
body_weight_kg	SURMOUNT-5	2	CD015092_pub2, CD016018	28.805	9.033–37.838
body_weight_pct	O'Neil 2018	2	CD015092_pub2, CD016017	21.043	-2.626–18.417
body_weight_pct	STEP 8	2	CD015092_pub2, CD016017	26.152	-9.967–16.185
body_weight_pct	SURMOUNT-5	2	CD015092_pub2, CD016018	28.511	8.219–36.730

Q5 — Sensitivity: implied MID under alternative distributional assumptions

Instrument	Log-normal			Truncated-Normal			Beta
	Median Δp	P95	Max	Median Δp	P95	Max	Median Δp	P95	Max
bmi_change	0.0276	0.0449	0.0514	0.0028	0.0091	0.0145	0.0036	0.2297	0.5095
body_weight_kg	0.0302	0.0424	0.0517	0.0030	0.0087	0.0146	0.0042	0.0141	0.5109
body_weight_pct	0.0275	0.0421	0.0496	0.0028	0.0089	0.0151	0.0035	0.0106	0.0242
sf36_mcs	0.0279	0.0421	0.0480	0.0030	0.0089	0.0137	0.2346	0.3685	0.3722
sf36_pcs	0.0374	0.0455	0.0512	0.0034	0.0098	0.0168	0.3274	0.3987	0.4061
sf36_physical_function	0.0352	0.0418	0.0514	0.0032	0.0088	0.0154	0.2542	0.3501	0.3687