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Familial spinal shape
Authors:K V Mardia  I L Dryden  M A Hurn  Q Li  P A Millner  R A Dickson
Institution:  a Department of Statistics, University of Leeds, Leeds b School of Mathematical Sciences, University of Bath, Leeds c Department of Mathematics, Anhui Normal University, Leeds d Academic Unit of Orthopaedic Surgery, St.James Hospital, Leeds
Abstract:It has been proposed that there is a familial relationship in the shape of the spine. This paper describes a pilot study investigating familial shape in the sagittal plane (side view), using three data sets of normal Leeds schoolchildren. The study is exploratory in nature, because only small samples were available. Data acquisition was by means of the Quantec system, which obtains surface shape measurements and extracts a line representing the spinal curve. The coordinates of the spine line in the sagittal plane are then used to investigate familial correlations of spinal shape. The spine lines first undergo some preprocessing, including Procrustes rotations to remove location, rotation and size effects. Smoothed principal component analysis of the curves provides suitable shape variables, and familial correlations between curves are then investigated. The covariates of sex and height are also investigated in the analysis. It does appear that there could be some evidence for familial correlations in sagittal spinal shape, although a further large-scale study is required. Finally, a discussion of the approach and other alternatives is considered.
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