定量差异及其在体育科学中的应用  

Quantitative difference and its application in sports science

作　　者：刘承宜[1] 胡少娟[1] 李晓云[1] 魏华江[1,2] 陈同生[1,2] 杨湘波[2,3] 李方晖[4] 刘延莹[1,4] 李末月 王娜[1] 

机构地区：[1]华南师范大学体育科学学院激光运动医学实验室,广东广州510006 [2]华南师范大学生物光子研究院激光生命科学研究所和激光生命科学教育部重点实验室,广东广州510631 [3]华南师范大学信息光电子科技学院,广东广州510006 [4]肇庆学院体育与健康学院,广东肇庆526061

出　　处：《体育学刊》2016年第1期11-17,共7页Journal of Physical Education

基　　金：国家自然科学基金项目(61575065);高等学校博士学科点专项科研基金(博导类)(20124407110013);广东省科技计划项目(社会发展)(2012B031600004)

摘　　要：统计方法可以告知两组数据的定性差异,而无法得出它们的定量差异。通过改进Fibonacci数列及其黄金分割常数τ=(5^(1/2)-1)/2≈0.618来度量差异。对于任何两个数的绝对值x和y(x<y),l级定量差异定义为l=|log_x(x<y)|。对于年龄,l<0.22、0.22≤l<0.44、0.44≤l<1.00和l≥1.00分别表示完全没有定量差异、稍许定量差异、显著定量差异和极显著定量差异。对于关键非必需功能、器官和整体层次l<0.27、0.27≤l<0.47、0.47≤l<0.80与l≥0.80和分子细胞层次l<0.47、0.47≤l<0.80、0.80≤l<1.27与l≥1.27分别表示完全没有定量差异、稍许定量差异、显著定量差异和极显著定量差异。讨论了定量差异在运动寿命、寿命和运动效应研究方面的初步应用。Statistical methods can tell qualitative differences between two sets of data, but cannot tell their quantita-tive differences. The authors measured differences by improving the Fibonacci sequence and its golden section con-stantτ=（5-1）/2≈0.618. As for x and y （x〈y）, the absolute values of any two numbers, their level l difference is defined asl=｜logx（x〈y）｜. As for ages,l〈0.22, 0.22≤l〈0.44, 0.44≤l〈1.00 andl≥1.00 indicate no quantitative dif-ference at all, slight quantitative difference, significant quantitative difference and extremely significant quantitative difference respectively. As for critical unnecessary functions, organs and overall levels,l〈0.27, 0.27≤l〈0.47, 0.47≤l〈0.80 andl≥0.80 and molecular cell levelsl〈0.47, 0.47≤l〈0.80, 0.80≤l〈1.27 andl≥1.27 indicate no quantitative difference at all, slight quantitative difference, significant quantitative difference and extremely signifi-cant quantitative difference respectively. The authors discussed the initial application of quantitative difference in researches on sports life span, life span and sports effect.

关 键 词：定量差异 FIBONACCI数列 黄金分割 运动寿命 耐力运动 力量运动 

分 类 号：G80[文化科学—运动人体科学]