Sekulić Damir, Zenić Natasa, Zubcević Nada Grcić
Faculty of Natural Sciences, Mathematics and Kinesiology, University of Split, Split, Croatia.
Coll Antropol. 2007 Sep;31(3):803-9.
In this paper we have tried to identify the significance and character of the linear and non-linear relations between simple anthropometric predictors: body height (BH), body weight (BW), and body mass index, and swimming performance: freestyle swimming 50 (FS50) and 400 meters (FS400), in a sample of young (15 years old on average) male (N = 40) and female (N = 28) swimmers. Linear (general model: y = a+bx) and nonlinear regression (general model: y = a+bx+cx2) were calculated simultaneously. Morphological variables are a significantly better predictor of the FS50 in males (BH mostly), and FS400 in females (BW mostly). This study emphasized some of the main advantages in the nonlinear regression calculation (including an interpretation of the relationships at a more superior level), and consequently allowed a precise anthropometric modeling in swimming using simple and easily measurable variables. For example, the best results in FS400 can be expected for the subjects that are average in BW (which guarantees solid muscle mass--the generator of force), but above average in BH (because of the physical law of lever). In conclusion, nonlinear regressions allow one to define the real nature of the relationships between variables, but only if compared with the linear ones. Additionally, this study emphasized one of the most important factors in defining possible specification-equation (e.g. structure of the influence of the different dimensions on the sport achievement) in different sports. In short, it underlines the importance of sampling the appropriate sample of the subject--highly skilled athletes exclusively.
在本文中,我们试图确定在一个平均年龄为15岁的年轻男性(N = 40)和女性(N = 28)游泳运动员样本中,简单人体测量指标:身高(BH)、体重(BW)和体重指数与游泳成绩:50米自由泳(FS50)和400米自由泳(FS400)之间线性和非线性关系的意义及特征。同时计算了线性回归(一般模型:y = a + bx)和非线性回归(一般模型:y = a + bx + cx²)。形态学变量对男性的FS50(主要是BH)和女性的FS400(主要是BW)是显著更好的预测指标。本研究强调了非线性回归计算的一些主要优势(包括在更高层面解释关系),从而能够使用简单且易于测量的变量在游泳运动中进行精确的人体测量建模。例如,对于BW处于平均水平(这保证了坚实的肌肉质量——力量的产生者)但BH高于平均水平(由于杠杆物理定律)的受试者,预计在FS400中会取得最佳成绩。总之,非线性回归能够定义变量之间关系的真实本质,但前提是与线性回归进行比较。此外,本研究强调了在不同运动中定义可能的特定方程(例如不同维度对运动成绩的影响结构)时最重要的因素之一。简而言之,它强调了对合适的受试者样本——仅为高技能运动员进行抽样的重要性。