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In Trotter and Gleser's (Am J Phys Anthropol 1952;10:463) classic study of stature estimation, a definition of the tibia length measurement is given that agrees with the standard condylar-malleolar length. That Trotter did not in fact measure according to her definition, but rather omitted the malleolus, has been well documented by Jantz et al. (J Forensic Sci 1995;40:758). Both the Terry collection and the World War 2 (WW2) samples were affected, although questions remain about the latter that cannot be resolved directly because it is no longer available for examination. Trotter's data from hundreds of servicemen are especially important because the statures were measured by technicians, rather than based on cadaver lengths or forensic statures. The questions examined in this note are as follows: Was WW2 measured uniformly in the same way as Terry; are there differences between Terry and WW2 that could influence estimation of the adjustment; and is the 10 millimeter (mm) adjustment proposed by Jantz et al. (J Forensic Sci 1995;40:758) still appropriate. Our analysis relies on a measurement taken by Trotter that is clearly and uniquely defined, what she called "ordinary length". This measurement was used to create expectations about how Trotter measured what she called maximum length of the tibia. Results provide no evidence that WW2 was measured any differently than Terry, with the exception of one small series. They also show slight morphological differences on the distal and/or proximal end of the tibia between Terry and WW2. Despite the slight difference, the adjustment to account for the malleolus is still valid.
Parçalı tibia uzunluğunun proksimal ve distal ölçümlerle hesaplanmasıÖz Adlî antropoloji, adlî tıp yararına insan iskelet kalıntılarından etnik grup, cinsiyet, boy ve vücut tipi özelliklerini belirleyen önemli bir bilim dalıdır. Adlî antropolojinin önemli görevlerinden biri de iskelet kalıntılarından bireyin boyunu belirlemektir. Boy tahmini kullanımında çoğunlukla alt ekstremite kemikleri tercih edilmektedir. Bu çalışma, kırık bir tibia parçası bulunması durumunda tibianın tüm uzunluğunu tahmin etmek için regresyon formülleri geliştirmeyi amaçlamaktadır. Çalışma, Bursa Uludağ Üniversitesi Tıp Fakültesi Anatomi Anabilim Dalı'nda bulunan ve Nicaea antik kentinde çıkarılmış olan 148 tibia üzerinde yürütüldü. Kemiklerinde toplam on sekiz parametre incelendi. İstatistiksel analizler için SPSS 22.0 kullanıldı. Kemiklere ait tanımlayıcı istatistik değerleri incelendi. Tibianın proksimal ve distal morfometrik özellikleri ile tüm tibia uzunluğu arasındaki korelasyonlar dikkate alınarak tibianın tüm uzunluğunu belirlemek için regresyon formülleri geliştirildi. Bu çalışmada, etnik grupların morfometrik özelliklerinin birbirinden farklı olduğunu ve bu nedenle bir etnik grup için belirlenen formüllerin kullanımının diğer etnik gruplar için hata payını artırabileceğini değerlendirdik. Ek olarak, tüm tibianın uzunluğunu tahmin eden formüller geliştirdik ve çalışmanın sonuçlarının hem antropoloji hem de adlî tıp için büyük önem taşıyacağı kanaatindeyiz.
Research of complex associations between a gene network and multiple responses has attracted increasing attention. A great challenge in analyzing genetic data is posited by the presence of the genetic network that is typically unknown. Moreover, mismeasurement of responses introduces additional complexity to distort usual inferential procedures. In this paper, we consider the problem with mixed binary and continuous responses that are subject to mismeasurement and associated with complex structured covariates. We first start with the case where data are precisely measured. We propose a generalized network structured model and develop a two‐step inferential procedure. In the first step, we employ a Gaussian graphical model to facilitate the covariates network structure, and in the second step, we incorporate the estimated graphical structure of covariates and develop an estimating equation method. Furthermore, we extend the development to accommodating mismeasured responses. We consider two cases where the information on mismeasurement is either known or estimated from a validation sample. Theoretical results are established and numerical studies are conducted to evaluate the finite sample performance of the proposed methods. We apply the proposed method to analyze the outbred Carworth Farms White mice data arising from a genome‐wide association study.
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