When to Stop Asking: Factor Coverage Bias and LLM Determinability Judgments with Underspecified Information in Medicine
Organizations: Kyoto University, Department of Biomedical Data Intelligence · Kyoto University, Department of Cardiovascular Medicine · The University of Tokyo
Abstract
Clinical decision-making often begins with underspecified information and requires not only gathering missing information but also knowing when to stop. This calls for judging determinability (whether the available information is sufficient for a decision) by considering whether missing information could change the conclusion, not simply the amount of available decision-relevant information. Reliance on this amount as a cue for determinability, which we term factor coverage bias, could undermine the trustworthiness of large language models (LLMs) through premature conclusions or excessive information gathering, such as unnecessary invasive tests. Yet whether LLMs exhibit this bias remains insufficiently studied. To address this gap, we construct a controlled pairwise benchmark in which LLMs identify the determinable case within each determinable--undeterminable pair. We add a decision-relevant factor to either side while keeping each case's determinability unchanged, and similarly add irrelevant text to distinguish this bias from context-length effects. Adding a relevant factor made LLMs more likely to select the augmented case as determinable even when it remained undeterminable, an effect that persisted with increased reasoning effort, while adding irrelevant text made them less likely to select the augmented case, an effect that reasoning substantially reduced. These findings identify factor coverage bias as a failure mode distinct from context-length effects and a potential risk to LLM trustworthiness. Our work provides an evaluation framework for LLM trustworthiness under underspecification.
Figures & tables
| Item | Points if positive |
| Congestive heart failure | 1 |
| Hypertension | 1 |
| Age | 1 |
| Diabetes mellitus | 1 |
| Prior stroke or TIA | 2 |
| Add relevant factor | Add irrelevant text (matched) | |||||
| Model | Reasoning | Baseline | Det | Und | Det | Und |
| GPT-5.5 | none | 0.342 | 0.233 ( 0.108) | 0.525 ( 0.183) | 0.475 ( 0.133) | 0.267 ( 0.075) |
| max | 0.017 | 0.017 ( 0.000) | 0.050 ( 0.033) | 0.025 ( 0.008) | 0.025 ( 0.008) | |
| Opus 4.5 | none | 0.425 | 0.358 ( 0.067) | 0.525 ( 0.100) | 0.558 ( 0.133) | 0.392 ( 0.033) |
| high | 0.125 | 0.042 ( 0.083) | 0.233 ( 0.108) | 0.142 ( 0.017) | 0.133 ( 0.008) | |
| Qwen3.5-27B | none | 0.342 | 0.225 ( 0.117) | 0.492 ( 0.150) | 0.542 ( 0.200) | 0.183 ( 0.158) |
Appendix figures & tables9 assets
Supplementary material from the paper’s appendix.
Appendix
| Add relevant factor | Add irrelevant text | |||||||||
| matched | 2 | 4 | ||||||||
| Model | Reasoning | Baseline | Det | Und | Det | Und | Det | Und | Det | Und |
| GPT-5.5 | none | 0.342 | 0.233 | 0.525 | 0.475 | 0.267 | 0.542 | 0.258 | 0.500 | 0.267 |
| low | 0.067 | 0.017 | 0.100 | 0.067 | 0.042 | 0.058 | 0.058 | 0.058 | 0.083 | |
| high | 0.033 | 0.033 | 0.058 | 0.033 | 0.025 | 0.025 | 0.050 | 0.033 | 0.050 | |
| max | 0.017 | 0.017 | 0.050 | 0.025 | 0.025 | 0.025 | 0.025 | 0.025 | 0.025 | |
| Scoring system | Items | Range | Rule | Decision target (as used in the prompt) | Ref. |
| Alvarado Score | 8 | 0–10 | acute appendicitis is suggested | Alvarado,1986 ; Di Saverio et al.,2020 | |
| Apgar Score | 5 | 0–10 | the newborn’s condition is normal | Apgar,1953 ; Committee on Fetus and Newborn,2015 | |
| BISAP Score | 5 | 0–5 | the patient is at higher risk of mortality | Wu et al.,2008 ; Tenner et al.,2013 | |
| Bishop Score | 5 | 0–13 | the cervix is unfavorable for induction | Bishop,1964 ; American College of Obstetricians and Gynecologists,2009 | |
| Blatchford Score | 8 | 0–23 | the patient is at high risk and needs intervention | Blatchford et al.,2000 ; National Institute for Health and Care Excellence,2012 | |
| CHA 2 DS 2 -VASc Score | 7 | 0–9 | the patient is at high stroke risk and needs anticoagulation | Lip et al.,2010 ; Hindricks et al.,2021 |
| Scoring system | Missing | Det margin | Und margin | Det tokens | Und tokens |
| Alvarado Score | 4 [2–5] | 0 [0–1] | 1 [1–3] | 48.2 (8.6) | 51.6 (10.4) |
| Apgar Score | 3 [2–3] | 0 [0–0] | 2 [1–3] | 23.5 (5.0) | 27.8 (5.3) |
| BISAP Score | 2 [2–2] | 0 [0–0] | 1 [1–1] | 32.8 (3.4) | 32.9 (2.4) |
| Bishop Score | 2 [2–2] | 0 [0–1] | 1 [1–3] | 40.2 (2.9) | 39.9 (2.3) |
| Blatchford Score | 4 [2–5] | 3 [0–9] | 1 [1–1] | 44.6 (8.0) | 40.6 (8.3) |
| CHA 2 DS 2 -VASc Score | 2 [2–5] | 1 [0–4] | 1 [1–2] | 41.6 (8.2) | 45.4 (9.9) |
| Condition | Added tokens | Prompt tokens |
| Baseline | — | 140 |
| Rel to Det | 8 | 147 |
| Rel to Und | 8 | 148 |
| Irr (matched) | 8 | 148 |
| Irr (2 ) | 43 | 182 |
| Irr (4 ) | 127 | 267 |
LLM Reliability
Large language model reliability studies whether outputs remain correct, calibrated, robust, and controllable across prompts, contexts, and deployment conditions.
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