(1.Laboratory of Laser Sports Medicine,School of Physical Education and Sports Science,South China Normal University,Guangzhou 510006,China;2.School of Physical Education and Health,Zhaoqing Institute,Zhaoqing 526061,China;3.School of Life Science,South China Normal University,Guangzhou 510631,China) Abstract: As for two sets of data, their qualitative distribution difference can be derived by using traditional statis-tical methods, while their mean value difference can be derived from quantitative difference (QD). A base-golden ratio logarithm is called as a golden logarithm, the authors found that a new natural constant can express the golden ratio, and its golden logarithm maintains unchanged, and called it as self-similar constant. The self-similar constant can not only express some fundamental physical constants, but also express some sports records and physiological limits. The authors used the self-similar constant to express the QD in athletic performance characteristic parameters in such 3 aspects as molecular cell level, tissue or organ level and overall level, and further discussed the QD’s pre-liminary applications in sports science. Key words: sports statistics;quantitative difference;self-similarity constant;golden logarithm;athletic performance |