中文摘要：

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=（51/2-1）/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=｜logx（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。

英文摘要：

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.