Gray correlation analysis of physical training and competitive performance in tennis sports

Structural characteristics and hierarchical model of excellent group

Physical structure	Index	Eigenvalue (X±S)	Weight coefficient	Sort
Sport quality	150m run	16.39 ± 0.17	0.1185	1
	60m standing start	6.82 ± 0.61	0.1176	2
	30m run in between	2.79 ± 0.27	0.1128	5
	Standing triple jump	9.39 ± 2.68	0.1097	6
	Set the level 10 long jump	32.09 ± 0.42	0.1095	7
Body shape	Arm length	77.62±1.94	0.1152	3
	Weight/height	0.48 ± 0.11	0.1125	4
Physiological function	Serum testosterone	564.11 ± 107.25	0.1040	8
	Serum creatine kinase	192.15 ± 111.4	0.973	9

The processing results of gray correlation degree of nine indexes

Serial number	Index	Grey correlation degree	Associated sequence number	Weight
1	Weight/height	0.9395	4	0.1135
2	Arm length	0.9658	3	0.1152
3	Serum testosterone	0.8675	8	0.1040
4	serum creatine kinase	0.8075	9	0.0968
5	60m standing start	0.9885	2	0.1176
6	Standing triple jump	0.9150	6	0.1097
7	30m run in between	0.9325	5	0.1198
8	Set the level 10 long jump	0.9125	7	0.1095
9	150m run	0.9870	1	0.1189

Individual rating table for general group athletes

	Inferior Less than 10%	Lower middle 10%~25%	Medium 25%~75%	Better than average 75%~90%	First-class More than 90%
150m run(s)	16.73	16.39~16.56	16.22~16.39	16.00~16.22	16.00
Score	1.62	3.25	4.78	6.52	7.89
60m standing start(s)	8.65	7.43~8.04	6.82~7.43	6.21~6.82	6.21
Score	1.58	3.04	4.75	6.33	7.45
30m run in between	3.32	3.06~3.32	2.80~3.06	2.54~2.80	2.54
Score	1.56	1.98	2.41	3.03	3.76
Standing triple jump(m)	6.71	6.71~9.39	9.39~12.07	12.07~14.75	14.75
Score	1.51	2.97	4.68	5.83	7.36
Set the level 10 long jump(m)	31.67	31.67~32.09	32.09~32.51	32.51~32.93	32.93
Score	1.38	2.98	4.37	5.69	7.52
Arm length	75.68	75.68~77.62	77.62~79.56	79.56~81.5	81.5
Score	1.52	3.13	4.68	6.38	7.95
Weight/height	0.37	0.37~0.48	0.37~0.48	0.48~0.59	0.59
Score	1.45	2.94	4.56	5.78	7.43
Serum testosterone(ng/dl)	456.92	456.92~564.17	564.17~671.36	671.36~778.61	778.61
Score	1.74	3.38	4.86	6.47	8.31
Serum creatine kinase(U/L)	192.17	192.17	192.17~304.1	304.1	304.1
Score	1.56	3.24	4.85	6.25	7.76

Young men’s tennis players performance group

Index	Outstanding group	General group	t	P
Height (cm)	178.04 ± 5.92	172.25 ± 7.96	2.067	0.045
Weight (kg)	66.18 ± 5.45	58.29 ± 8.69	4.870	0.000
Tennis competitive performance	93.13 ±2 .62	89.93 ± 3.32	-9.209	0.000
Number of people (N)	51	119

Individual rating table for outstanding group athletes

	Inferior Less than 10%	Lower middle 10%~25%	Medium 25%~75%	Better than average 75%~90%	First-class More than 90%
150m run(s)	16.39	16.22~16.39	16.00~16.22	15.78~16.00	15.78
Score	1.72	3.33	4.82	6.63	7.98
60m standing start(s)	7.43	6.82~7.43	6.21~6.82	5.60~6.21	5.60
Score	1.62	3.12	4.78	6.39	7.49
30m run in between	3.06	2.80~3.06	2.54~2.80	2.28~2.54	2.28
Score	1.78	2.31	3.21	3.56	4.85
Standing triple jump(m)	9.39	9.39~12.07	12.07~14.75	14.75~17.43	17.43
Score	1.58	2.97	4.73	5.94	7.66
Set the level 10 long jump(m)	32.09	32.09~32.51	32.51~32.93	32.93~33.35	33.35
Score	1.52	3.02	4.25	5.87	7.63
Arm length	77.62	77.62~79.56	79.56~81.5	81.5~83.44	83.44
Score	1.62	3.33	4.54	6.25	7.98
Weight/height	0.48	0.48~0.59	0.59~0.70	0.59~0.70	0.70
Score	1.54	2.96	4.54	5.77	7.42
Serum testosterone(ng/dl)	456.92	456.92~564.17	564.17~671.36	671.36~778.61	778.61
Score	1.74	3.38	4.86	6.47	8.31
Serum creatine kinase(U/L)	192.17	192.17	192.17~304.1	304.1	304.1
Score	1.56	3.24	4.85	6.25	7.76

The advantages and disadvantages of individual indicators of physical fitness

	Outstanding Group			General group
	Dominance value	Disadvantageous value		Dominance value	Disadvantageous value
150m run	15.78	16.39	150m run	16.00	16.73
60m standing start	5.60	7.43	60m standing start	6.21	8.65
30m run in between	2.28	3.06	30m run in between	2.54	3.32
Standing triple jump	17.43	9.39	Standing triple jump	14.75	6.71
Set the level 10 long jump	33.35	32.09	Set the level 10 long jump	32.93	31.67
Arm length	83.44	77.62	Arm length	81.5	75.68
Weight/height	0.48	0.70	Weight/height	0.37	0.59
Serum testosterone	778.61	456.92	Serum testosterone	778.61	456.92
Serum creatine kinase	304.1	192.17	Serum creatine kinase	304.1	192.17