Qing Si-han, Chang Yun-feng, Dong Xiao-ai, Li Yuan, Chen Xiao-gang, Shu Yong-kang, Deng Zhen-hua
Teaching and Research of Forensic Pathology, West China School of Pre-clinical and Forensic Medicine,
Institute of Forensic Science, Ministry of Public Security, Beijing 100038, China.
Fa Yi Xue Za Zhi. 2013 Oct;29(5):344-7.
To establish the mathematical models of stature estimation for Sichuan Han female with measurement of lumbar vertebrae by X-ray to provide essential data for forensic anthropology research.
The samples, 206 Sichuan Han females, were divided into three groups including group A, B and C according to the ages. Group A (206 samples) consisted of all ages, group B (116 samples) were 20-45 years old and 90 samples over 45 years old were group C. All the samples were examined lumbar vertebrae through CR technology, including the parameters of five centrums (L1-L5) as anterior border, posterior border and central heights (x1-x15), total central height of lumbar spine (x16), and the real height of every sample. The linear regression analysis was produced using the parameters to establish the mathematical models of stature estimation. Sixty-two trained subjects were tested to verify the accuracy of the mathematical models.
The established mathematical models by hypothesis test of linear regression equation model were statistically significant (P<0.05). The standard errors of the equation were 2.982-5.004 cm, while correlation coefficients were 0.370-0.779 and multiple correlation coefficients were 0.533-0.834. The return tests of the highest correlation coefficient and multiple correlation coefficient of each group showed that the highest accuracy of the multiple regression equation, y = 100.33 + 1.489 x3 - 0.548 x6 + 0.772 x9 + 0.058 x12 + 0.645 x15, in group A were 80.6% (+/- lSE) and 100% (+/- 2SE).
The established mathematical models in this study could be applied for the stature estimation for Sichuan Han females.
通过X线测量腰椎建立四川汉族女性身高估计的数学模型,为法医人类学研究提供基础数据。
选取206例四川汉族女性样本,按年龄分为A、B、C三组。A组(206例样本)涵盖所有年龄,B组(116例样本)为20至45岁,C组为45岁以上的90例样本。所有样本通过CR技术检查腰椎,测量五个椎体(L1 - L5)的前缘、后缘及中心高度(x1 - x15)、腰椎总中心高度(x16)以及每个样本的实际身高。利用这些参数进行线性回归分析,建立身高估计的数学模型。选取62名经过训练的受试者进行测试,以验证数学模型的准确性。
通过线性回归方程模型的假设检验建立的数学模型具有统计学意义(P<0.05)。方程的标准误差为2.982 - 5.004厘米,相关系数为0.370 - 0.779,复相关系数为0.533 - 0.834。每组最高相关系数和复相关系数的回代检验显示,A组中多重回归方程y = 100.33 + 1.489x3 - 0.548x6 + 0.772x9 + 0.058x12 + 0.645x15的最高准确率在80.6%(±1标准误)和100%(±2标准误)。
本研究建立的数学模型可用于四川汉族女性的身高估计。