|（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