Grey Relational Analysis Based on Big Data of Physical Fitness Test:Modeling and Demonstration
At present,the electronic instruments have been generally utilized to collect the test results of physical fitness of students in China,and we have accumulated a lot of raw data which have characteristics of big data.It may have scientific significance on how to utilize the mathematical model in finding out the correlations among the test items when facing test big data of physical fitness and then describing accurately the strength and weakness of their correlations.In this study,we utilized an innovative model of grey relational analysis in order to analyze the test big data of physical fitness of the 31 198 undergraduate students in a university in western China.The innovative model changes the computational process of traditional Deng's model and then makes itself suitable for big data.The value of BMI has a great influence on the endurance and the explosive force of lower limbs of the female students,and it is the most important test index of females'physical fitness;The vital capacity has different influence on the endurance,the flexibility and the explosive force of lower limbs of the male students,and it is the most important test index of male physical fitness;long-distance running that is the 1 000-meter running for males as well as the 800-meter running for females and the standing long jump are not only the two most important indicators of the physical fitness but also exist a strong correlation among them.The innovative model of Grey Relational Analysis provides a new idea for the correlation analysis among the physical measurement indexes under the situation of big data,and it gives a modeling reference for the big data analysis in different fields.