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The use of inverse sine transformations in the analysis of non‐metric cranial data

Bibliographic Data

ID8319418
AuthorsRichard F Green (0000-0003-1245-5232, University of California, Riverside), Judy Myers Suchey (California State University, Fullerton)
Year1976
Volume45
Issue1
Pages61-68
Publication date1976-07-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenueAmerican Journal of Physical Anthropology (JOURNAL)
Journal identifiersISSN: 0002-9483 • E-ISSN: 1096-8644
PublisherWiley (PUBLISHER • GB)
DOI10.1002/ajpa.1330450108
OpenAlexW1973096614
LanguageEN
Citations received93
References cited8

In recent years osteologists have frequently used non‐metric (dichotomous) cranial data to measure biological distance between skeletal samples of Homo sapiens . Applying methods used earlier by biologists, these workers begin by attempting to stabilize the variance of the measures used by transforming the observed trait frequencies using some type of inverse sine transformation. The frequently used Grewal‐Smith transformation doesn't work well for small samples of the size often considered by osteologists. As a consequence the mean measure of divergence between populations determined by this method is strongly influenced by a bias which depends on sample size. This paper compares several transformations in terms of how close the actual variance of the transformed frequency corresponds to its nominal value. It is suggested that the traditional (Grewal‐Smith) inverse sine transformation not be used, and several alternatives are considered

Biology · Data mining · Divergence (linguistics) · Econometrics · Economics · Geometry · Inverse · Measure (data warehouse) · Metric (unit) · Physics · Sample (material) · Sine · Statistics · Transformation (genetics) · Value (mathematics) · Variance (accounting) · Computer Science · Evolution and Paleontology Studies · Forensic Anthropology and Bioarchaeology Studies · Mathematics · Morphological variations and asymmetry · Philosophy

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Unique citing works93
Citations per year1,86
Citation span1976 - 2026 (51)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 82
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