Lele S, Richtsmeier J T
Department of Biostatistics, Johns Hopkins University, School of Hygiene and Public Health, Baltimore, Maryland 21205.
Am J Phys Anthropol. 1991 Nov;86(3):415-27. doi: 10.1002/ajpa.1330860307.
For problems of classification and comparison in biological research, the primary focus is on the similarity of forms. A biological form can be conveniently defined as consisting of size and shape. Several approaches for comparing biological shapes using landmark data are available. Lele (1991a) critically discusses these approaches and proposes a new method based on the Euclidean distance matrix representation of the form of an object. The purpose of this paper is to extend this new methodology to the comparison of groups of objects. We develop the statistical versions of various concepts introduced by Lele (1991a) and use them for developing statistical procedures for testing the hypothesis of shape difference between biological forms. We illustrate the use of this method by studying morphological differences between normal children and those affected with Crouzon and Apert syndromes and craniofacial sexual dimorphism in Cebus apella.
对于生物学研究中的分类和比较问题，主要关注点在于形态的相似性。生物形态可方便地定义为包括大小和形状。有几种使用地标数据比较生物形状的方法。勒勒（1991a）批判性地讨论了这些方法，并基于对象形态的欧几里得距离矩阵表示提出了一种新方法。本文的目的是将这种新方法扩展到对象组的比较。我们开发了勒勒（1991a）引入的各种概念的统计版本，并将其用于开发统计程序，以检验生物形态之间形状差异的假设。我们通过研究正常儿童与患有克鲁宗综合征和阿佩尔综合征的儿童之间的形态差异以及僧帽猴中的颅面性别二态性来说明该方法的使用。
