Tran Z V, Weltman A
Exercise and Sport Research Institute, Arizona State University, Tempe 85287-0404.
Med Sci Sports Exerc. 1989 Feb;21(1):101-4. doi: 10.1249/00005768-198902000-00018.
This study's purpose was to develop a generalized regression equation to predict body density in adult women. Subjects, 482 women, were hydrostatically weighed and circumference (girths) recorded for thigh, hips (buttocks), iliac, and abdomen (mean of abdomen 1 and abdomen 2). Age (range = 15-79 yr), weight (38.3-132.9 kg), and height (145.5-186.3 cm) were also recorded. Percent body fat ranged from 12.7 to 63.1%. Stepwise multiple regression was used to select the best set of predictors (from seven) of body density. Capitalization on chance was negligible due to the favorable subject to predictor ratio (57 subjects per predictor). The regression equation (N = 400) developed for predicting body density was: body density = 1.168297 - (0.002824 x abdomen) + (0.0000122098 x abdomen2) - (0.000733128 x hips) + (0.000510477 x height) - (0.000216161 x age) [SEE = 0.009486784 (4.2% body fat), R = 0.889, adjusted R2 = 0.787]. Using this equation on a cross-validation sample (N = 82) produced a predicted mean (+/- SD) of 1.016 +/- 0.017 (validation sample mean = 1.016 +/- 0.021) and a total error (SE) of 0.0082 (3.6% body fat). The use of three girth measurements, height, and age enabled us to develop regression equations to predict body density in women that are comparable in accuracy to those using skinfold calipers and, thus, are a viable alternative.
本研究的目的是建立一个广义回归方程，以预测成年女性的身体密度。482名女性受试者接受了水下称重，并记录了大腿、臀部（臀部）、髂部和腹部（腹部1和腹部2的平均值）的周长（围度）。还记录了年龄（范围=15 - 79岁）、体重（38.3 - 132.9千克）和身高（145.5 - 186.3厘米）。体脂百分比范围为12.7%至63.1%。采用逐步多元回归从七个预测变量中选择最佳预测变量集。由于受试者与预测变量的比例有利（每个预测变量有57名受试者），偶然因素的影响可忽略不计。为预测身体密度而建立的回归方程（N = 400）为：身体密度=1.168297 - （0.002824×腹部） + （0.0000122098×腹部²） - （0.000733128×臀部） + （0.000510477×身高） - （0.000216161×年龄） [SEE = 0.009486784（体脂4.2%），R = 0.889，调整后R² = 0.787]。在交叉验证样本（N = 82）上使用该方程得出预测平均值（+/-标准差）为1.016 +/- 0.017（验证样本平均值 = 1.016 +/- 0.021），总误差（SE）为0.0082（体脂3.6%）。使用三个围度测量值、身高和年龄使我们能够建立回归方程来预测女性的身体密度，其准确性与使用皮褶厚度仪的方程相当，因此是一种可行的替代方法。
