https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU/Head https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU http://www.nanopub.org/nschema#hasAssertion https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU/assertion https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU http://www.nanopub.org/nschema#hasProvenance https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU/provenance https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU http://www.nanopub.org/nschema#hasPublicationInfo https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU/pubinfo https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU http://www.w3.org/1999/02/22-rdf-syntax-ns#type http://www.nanopub.org/nschema#Nanopublication https://w3id.org/np/RAijlfkI4TqnIrCI-_8RNjHcnn-rfE6ze8AnL-zfXpZYU/assertion https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://purl.org/dc/terms/description NHANES DEMO+BMX 2007-2018 merged on SEQN; examined persons under 20 yr with measured weight and stature (recumbent length < 24 months, standing height otherwise), n = 23540. OLS of log10 weight on log10 stature across individuals (95% CI from the regression standard error; RMA slope as sensitivity), and the same regression on the 240 monthly medians (age-median curve). Monthly median stature H(t) and weight W(t) were normalised by their mean over months 228-239 and the discrepancy D(p) = mean_t |W(t) - H(t)^p| computed for p = 1..4 and on a 0.01 grid to find the best exponent. Slopes by age window (0-2, 2-10, 10-20, 2-20 yr) are reported descriptively. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/Assessment https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://www.w3.org/2000/01/rdf-schema#comment Measured: 2.4076916540629516 log-log OLS exponent of weight on stature, individuals aged 0-19 (n = 23540, 95% CI [2.399, 2.416]; RMA slope 2.496). Interpretation: Thompson's 'linear dimension' is stature, 'weight' is body mass; 'tend to vary as the cube' is read as a log-log allometric exponent within 0.5 of 3 (his own hedge). The second half of the claim, that cubic scaling 'mainly (though not wholly)' explains why the weight curve differs in shape from the stature curve, is read as: the cube of the normalised stature curve is at least twice as close to the normalised weight curve as the stature curve itself. Humans only; the parenthetical extension to organisms generally is not tested. Cross-sectional data, modern US population. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://www.w3.org/2000/01/rdf-schema#label Claim test of thompson1917-ch03-07: mixed, confidence 0.75 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://www.w3.org/2000/01/rdf-schema#seeAlso https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/thompson-growth-form/thompson1917-ch03-07/result.json https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test http://www.w3.org/ns/prov#wasAttributedTo https://w3id.org/delphi/resource/agent/delphisci-claim-tester-claude-fable-5-1 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/admissibleDatasets Planned datasets: nhanes-demo-2007-2018, nhanes-bmx-2007-2018 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/assessmentType claim-test/0.1.0 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/dataKind biological https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/disconfirmingObservation Refutes if the individual-level slope b lies outside [2.0, 4.0], or if D(3)/D(1) > 1 (cubing makes the curves less alike). Mixed if b is in [2.0, 2.5) or (3.5, 4.0], or if the slope is in range but 0.5 < D(3)/D(1) <= 1 (the cube explains some but not most of the difference). https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/evidenceAgainst Cross-sectional data from a modern US population with high adolescent adiposity, which raises the 10-20 yr exponent; a leaner historical population would likely give a lower overall exponent, not a higher one. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/evidenceAgainst Only the human part of the scope was tested; the parenthetical 'organisms generally' was not. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The exponent that best matches curve shapes (3.35) differs from the log-log slope (2.41) because the normalised-curve comparison weights late ages (where W/W19 is near 1) differently from a log-log fit dominated by infancy and childhood; both numbers are reported. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The second clause passes clearly: cubing the normalised stature curve removes 80% of its discrepancy from the normalised weight curve (D(3)/D(1) = 0.196; best exponent for curve shape 3.35), so the cubic relation does 'mainly, though not wholly' explain why the weight curve differs in shape from the stature curve, as Thompson said. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/evidenceAgainst The two halves of the claim come apart. The allometric exponent across growth is 2.41 (CI 2.40-2.42; curve-level 2.46; RMA 2.50), below the pre-registered [2.5, 3.5] window, so weight does not vary as the cube of stature in the strict sense: proportions and composition change with age (window exponents 2.10 at 0-2 yr, 2.36 at 2-10 yr, 3.10 at 10-20 yr). https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/expectedObservation Pre-registered, on pooled NHANES 2007-2018 individuals aged 0-19.99 yr with measured weight and stature (recumbent length < 24 months, standing height >= 24 months), sexes pooled with sex-specific values reported. (1) Cube tendency: the OLS slope b of log10(weight) on log10(stature) over all individuals satisfies 2.5 <= b <= 3.5 (95% CI reported; reduced-major-axis slope reported as sensitivity), and the same slope fitted to the age-median curve (monthly median weight vs monthly median stature, 0-19 yr) also lies in [2.5, 3.5]. (2) 'Mainly explains the curve difference': with monthly medians H(t), W(t) normalised to their 19-yr values, define D(p) = mean over months of |W(t)/W(19) - (H(t)/H(19))^p|. Supports if D(3)/D(1) <= 0.5, i.e. cubing the stature curve removes at least half of the discrepancy between the stature and weight curves. Both (1) and (2) must hold for 'supports'. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/failCriterion Refutes if the individual-level slope b lies outside [2.0, 4.0], or if D(3)/D(1) > 1 (cubing makes the curves less alike). Mixed if b is in [2.0, 2.5) or (3.5, 4.0], or if the slope is in range but 0.5 < D(3)/D(1) <= 1 (the cube explains some but not most of the difference). https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/hasConfidence 0.75 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-1 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/hasEvidence https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/hasVerdict mixed https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/hypothesis Across human growth, body weight scales approximately as the cube of stature (log-log slope near 3), and cubing the stature-versus-age curve removes most of the difference in shape between the stature curve and the weight curve. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/inferenceMethod NHANES DEMO+BMX 2007-2018 merged on SEQN; examined persons under 20 yr with measured weight and stature (recumbent length < 24 months, standing height otherwise), n = 23540. OLS of log10 weight on log10 stature across individuals (95% CI from the regression standard error; RMA slope as sensitivity), and the same regression on the 240 monthly medians (age-median curve). Monthly median stature H(t) and weight W(t) were normalised by their mean over months 228-239 and the discrepancy D(p) = mean_t |W(t) - H(t)^p| computed for p = 1..4 and on a 0.01 grid to find the best exponent. Slopes by age window (0-2, 2-10, 10-20, 2-20 yr) are reported descriptively. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/passCriterion Pre-registered, on pooled NHANES 2007-2018 individuals aged 0-19.99 yr with measured weight and stature (recumbent length < 24 months, standing height >= 24 months), sexes pooled with sex-specific values reported. (1) Cube tendency: the OLS slope b of log10(weight) on log10(stature) over all individuals satisfies 2.5 <= b <= 3.5 (95% CI reported; reduced-major-axis slope reported as sensitivity), and the same slope fitted to the age-median curve (monthly median weight vs monthly median stature, 0-19 yr) also lies in [2.5, 3.5]. (2) 'Mainly explains the curve difference': with monthly medians H(t), W(t) normalised to their 19-yr values, define D(p) = mean over months of |W(t)/W(19) - (H(t)/H(19))^p|. Supports if D(3)/D(1) <= 0.5, i.e. cubing the stature curve removes at least half of the discrepancy between the stature and weight curves. Both (1) and (2) must hold for 'supports'. https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/ontology/preregistered false https://w3id.org/delphi/resource/claim/thompson1917-ch03-07 https://w3id.org/delphi/ontology/hasAssessment https://w3id.org/delphi/resource/assessment/thompson1917-ch03-07--claim-test https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-1 http://purl.org/dc/terms/description sex, age in months at exam (RIDEXAGM; RIDAGEMN for 2007-2010) https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-1 http://purl.org/dc/terms/license US Government public domain https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-1 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/EvidenceItem https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-1 http://www.w3.org/2000/01/rdf-schema#label 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http://purl.org/dc/terms/license US Government public domain https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 http://www.w3.org/1999/02/22-rdf-syntax-ns#type https://w3id.org/delphi/ontology/EvidenceItem https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 http://www.w3.org/2000/01/rdf-schema#label Dataset: NHANES Body Measures (BMX), cycles 2007-2008 to 2017-2018 https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 http://www.w3.org/ns/prov#atLocation https://wwwn.cdc.gov/Nchs/Data/Nhanes/Public/2007/DataFiles/BMX_E.xpt https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 http://www.w3.org/ns/prov#atLocation https://wwwn.cdc.gov/Nchs/Data/Nhanes/Public/2009/DataFiles/BMX_F.xpt https://w3id.org/delphi/resource/evidence/thompson1917-ch03-07--claim-test--dataset-2 http://www.w3.org/ns/prov#atLocation 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