Triple

T1252897
Position Surface form Disambiguated ID Type / Status
Subject Ragnar Frisch E26916 entity
Predicate knownFor P22 FINISHED
Object Frisch–Waugh–Lovell theorem
The Frisch–Waugh–Lovell theorem is a fundamental result in econometrics that shows how the coefficients of a multiple linear regression can be obtained by first partialling out (regressing out) other explanatory variables.
E143681 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Frisch–Waugh–Lovell theorem | Statement: [Ragnar Frisch, knownFor, Frisch–Waugh–Lovell theorem]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Frisch–Waugh–Lovell theorem
Context triple: [Ragnar Frisch, knownFor, Frisch–Waugh–Lovell theorem]
  • A. Gauss–Markov theorem
    The Gauss–Markov theorem is a fundamental result in statistics stating that, under certain conditions, the ordinary least squares estimator is the best linear unbiased estimator (BLUE) of the coefficients in a linear regression model.
  • B. The Probability Approach in Econometrics
    The Probability Approach in Econometrics is Trygve Haavelmo’s landmark work that founded modern econometrics by rigorously formulating economic relationships within a probabilistic, statistical framework.
  • C. Lucas critique
    The Lucas critique is an influential argument in macroeconomics asserting that policy evaluations based on historical correlations are unreliable because people’s expectations and behavior change systematically when policy rules change.
  • D. William O. Wooldridge
    William O. Wooldridge was a United States Army noncommissioned officer who became the first Sergeant Major of the Army, serving as the senior enlisted advisor to the Army’s leadership.
  • E. Berry–Esseen theorem
    The Berry–Esseen theorem is a quantitative refinement of the central limit theorem that provides explicit bounds on the rate of convergence of normalized sums of independent random variables to the normal distribution.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Frisch–Waugh–Lovell theorem
Triple: [Ragnar Frisch, knownFor, Frisch–Waugh–Lovell theorem]
Generated description
The Frisch–Waugh–Lovell theorem is a fundamental result in econometrics that shows how the coefficients of a multiple linear regression can be obtained by first partialling out (regressing out) other explanatory variables.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Frisch–Waugh–Lovell theorem
Target entity description: The Frisch–Waugh–Lovell theorem is a fundamental result in econometrics that shows how the coefficients of a multiple linear regression can be obtained by first partialling out (regressing out) other explanatory variables.
  • A. Gauss–Markov theorem
    The Gauss–Markov theorem is a fundamental result in statistics stating that, under certain conditions, the ordinary least squares estimator is the best linear unbiased estimator (BLUE) of the coefficients in a linear regression model.
  • B. The Probability Approach in Econometrics
    The Probability Approach in Econometrics is Trygve Haavelmo’s landmark work that founded modern econometrics by rigorously formulating economic relationships within a probabilistic, statistical framework.
  • C. Lucas critique
    The Lucas critique is an influential argument in macroeconomics asserting that policy evaluations based on historical correlations are unreliable because people’s expectations and behavior change systematically when policy rules change.
  • D. William O. Wooldridge
    William O. Wooldridge was a United States Army noncommissioned officer who became the first Sergeant Major of the Army, serving as the senior enlisted advisor to the Army’s leadership.
  • E. Berry–Esseen theorem
    The Berry–Esseen theorem is a quantitative refinement of the central limit theorem that provides explicit bounds on the rate of convergence of normalized sums of independent random variables to the normal distribution.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69a49487a9c48190ba9b05348fd1b53f completed March 1, 2026, 7:33 p.m.
NER Named-entity recognition batch_69a4bf875cf48190b6781d41097ee39b completed March 1, 2026, 10:36 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac93c903488190bcbf1928699bafd2 completed March 7, 2026, 9:08 p.m.
NEDg Description generation batch_69ac942d359c81908d2c2acb4c1aa8d0 completed March 7, 2026, 9:10 p.m.
NED2 Entity disambiguation (via description) batch_69ac95cf8800819080d18d559f73dcc2 completed March 7, 2026, 9:17 p.m.
Created at: March 1, 2026, 7:47 p.m.