{"id":1143250,"date":"2025-06-27T13:32:28","date_gmt":"2025-06-27T20:32:28","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/?post_type=msr-research-item&#038;p=1143250"},"modified":"2025-06-27T13:49:29","modified_gmt":"2025-06-27T20:49:29","slug":"can-we-count-on-llms-the-fixed-effect-fallacy-and-claims-of-gpt-4-capabilities","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/can-we-count-on-llms-the-fixed-effect-fallacy-and-claims-of-gpt-4-capabilities\/","title":{"rendered":"Can We Count on LLMs? The Fixed-Effect Fallacy and Claims of GPT-4 Capabilities"},"content":{"rendered":"<p>In this paper we explore evaluation of LLM capabilities. We present measurements of GPT-4 performance on several deterministic tasks; each task involves a basic calculation and takes as input parameter some element drawn from a large well-defined population (e.g., count elements in a list, multiply two k-digit numbers, etc). We examine several conditions per-task and perform enough trials so that statistically significant differences can be detected. This allows us to investigate the sensitivity of task-accuracy both to query phrasing and input parameter population. We find that seemingly trivial modifications in the task-prompt or input population can yield differences far larger than can be explained by sampling effects. For example, performance on a simple list-counting task varies with query-phrasing and list-length, but also with list composition (i.e., the thing-to-be-counted) and object frequency (e.g., success when an element accounts for \\(\\approx\\) 50\\% of a list is different from when it accounts for \\(\\approx\\) 70\\% etc). We conclude that efforts to quantify LLM capabilities easily succumb to the language-as-fixed-effect fallacy, where experimental observations are improperly generalized beyond what the data supports. A consequence appears to be that intuitions that have been formed based on interactions with humans form a very unreliable guide as to which input modifications should &#8220;make no difference&#8221; to LLM performance.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this paper we explore evaluation of LLM capabilities. We present measurements of GPT-4 performance on several deterministic tasks; each task involves a basic calculation and takes as input parameter some element drawn from a large well-defined population (e.g., count elements in a list, multiply two k-digit numbers, etc). We examine several conditions per-task and 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