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Generalized Distance between Different Thigh-Bones and a Reference Population

In: Multivariate Statistical Methods in Physical Anthropology

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  • E. Defrise-Gussenhoven
  • R. Orban-Segebarth

Abstract

Summary A generalized distance Λ is defined measuring how far an individual femur is from a reference population of 4l6 belgian femora; a “rate of remoteness” is introduced. The sampling distribution of the sample value L2 of Λ2 is derived. An unbiased and consistent estimate of Λ2 $$\hat \Lambda ^2 = \frac{{\left( {\text{n - p - 2}} \right){\text{L}}_{\text{p}}^{2}}}{\text{n}} - \frac{\text{p}}{\text{n}}$$ , with $${\text{E}}\left( {\hat \Lambda ^2 } \right) = \Lambda ^2 $$ is obtained. The theory is applied to a particular case with a sample of n=416 elements from recent belgian femora found in the same cemetery.

Suggested Citation

  • E. Defrise-Gussenhoven & R. Orban-Segebarth, 1984. "Generalized Distance between Different Thigh-Bones and a Reference Population," Springer Books, in: G. N. Van Vark & W. W. Howells (ed.), Multivariate Statistical Methods in Physical Anthropology, pages 89-99, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-6357-3_8
    DOI: 10.1007/978-94-009-6357-3_8
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