
Figure 1
Achievements of provincial badminton teams in China.

Figure 2
Research framework.
Table 1
Instruments used to measure smash performance
| Variables | Measurement method | Instrument | Unit | Reference |
|---|---|---|---|---|
| In situ smash accuracy | Ball placement test | Colored string | Count | [10,11] |
| Jump smash accuracy | Ball placement test | Leopard smart shuttlecock throwing machine | ||
| Move smash accuracy | Ball placement test |
Source: From Ref. [11].
Table 2
Validity of smash performance instruments
| Item | Measurement method | Number of agreements | Relevance | Number of agreements | Relevance | ||
|---|---|---|---|---|---|---|---|
| I-CVI | Kappa | I-CVI | Kappa | ||||
| In situ smash accuracy | Ball placement test | 5 | 0.833 | 0.816 | 6 | 1.000 | 1.000 |
| Jump smash accuracy | Ball placement test | 5 | 0.833 | 0.816 | 6 | 1.000 | 1.000 |
| Move smash accuracy | Ball placement test | 5 | 0.833 | 0.816 | 6 | 1.000 | 1.000 |
Table 3
Test-retest reliability of smash performance instruments (n = 40)
| Variables | Measurement method | Intraclass correlation coefficient | 95% confidence interval (CI) | |
|---|---|---|---|---|
| Lower bound | Upper bound | |||
| In situ smash accuracy | Ball placement test | 0.771 | 0.569 | 0.878 |
| Jump smash accuracy | Ball placement test | 0.762 | 0.552 | 0.874 |
| Move smash accuracy | Ball placement test | 0.807 | 0.637 | 0.898 |
Table 4
Demographic characteristics
| Demographic characteristics | Group | Mean value | Std. deviation | t | p-value |
|---|---|---|---|---|---|
| Age | EG | 21.15 | 0.745 | −0.740 | 0.464 |
| CG | 21.40 | 1.314 | |||
| Height | EG | 167.25 | 3.998 | −1.298 | 0.127 |
| CG | 168.95 | 3.410 | |||
| Weight | EG | 57.85 | 4.815 | −1.131 | 0.190 |
| CG | 59.15 | 4.977 | |||
| Training time | EG | 9.65 | 1.954 | −0.564 | 0.576 |
| CG | 10.00 | 1.974 |
Note: EG, Experimental Group; CG, Control group.
Table 5
Comparing between groups for smash accuracy performance variables at baseline
| Variable | Group | Mean value | Std. deviation | t | p-value |
|---|---|---|---|---|---|
| In situ smash accuracy | EG | 0.68 | 0.125 | 1.021 | 0.314 |
| CG | 0.64 | 0.123 | |||
| Jump smash accuracy | EG | 0.68 | 0.064 | −0.324 | 0.748 |
| CG | 0.69 | 0.123 | |||
| Move smash accuracy | EG | 0.73 | 0.092 | 0.277 | 0.783 |
| CG | 0.72 | 0.132 |
Note: EG, Experimental group; CG, Control group.
Table 6
Descriptive statistics of in situ smash accuracy between groups across the time
| Variable | Group | Baseline | Posttest1 | Posttest2 | |||
|---|---|---|---|---|---|---|---|
| Mean value | Std. deviation | Mean value | Std. deviation | Mean value | Std. deviation | ||
| In situ smash accuracy | EG | 0.68 | 0.125 | 0.70 | 0.103 | 0.84 | 0.067 |
| CG | 0.64 | 0.123 | 0.69 | 0.121 | 0.71 | 0.105 | |
Note: EG, Experimental group; CG, Control group.
Table 7
Results of GEE on in situ smash accuracy score
| Variable | Source | Wald chi-square | df | p-value |
|---|---|---|---|---|
| In situ smash accuracy | Group | 4.154 | 1 | <0.05 |
| Time | 61.997 | 2 | <0.001 | |
| Group * Time | 11.933 | 2 | <0.05 | |
| Age♦ | 0.01 | 1 | 0.919 | |
| Training time♦ | 0.005 | 1 | 0.943 | |
| Height♦ | 0.073 | 1 | 0.787 | |
| Weight♦ | 0.003 | 1 | 0.958 |
Note: df, degrees of freedom; ♦, covariates.
Table 8
Within groups comparison of in situ smash accuracy mean scores across the time for different groups
| Variable | Group | (I) time | (J) time | Mean difference (I–J) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||||
| In situ smash accuracy | EG | Posttest2 | Posttest1 | 0.1350* | 0.015 | 0.000 | 0.100 | 0.170 | 1.595 |
| Posttest2 | Baseline | 0.1600* | 0.016 | 0.000 | 0.121 | 0.199 | |||
| Posttest1 | Baseline | 0.0250 | 0.017 | 0.434 | −0.016 | 0.066 | |||
| CG | Posttest2 | Posttest1 | 0.0150 | 0.022 | 1.000 | −0.037 | 0.067 | 0.612 | |
| Posttest2 | Baseline | 0.0700* | 0.026 | 0.019 | 0.009 | 0.131 | |||
| Posttest1 | Baseline | 0.0550* | 0.022 | 0.035 | 0.003 | 0.107 | |||
Note: *, the mean difference is significant at 0.05 level; EG, Experimental group; CG, Control group; SE, Standard error.
Table 9
Between groups comparison of mean score for in situ smash accuracy at three different times
| Variable | Time | Mean difference (EG–CG) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||
| In situ smash accuracy | Baseline | 0.040 | 0.03818 | 0.295 | −0.0348 | 0.1148 | 0.323 |
| Posttest1 | 0.010 | 0.03457 | 0.772 | −0−0578 | 0.0778 | 0.089 | |
| Posttest2 | 0.130* | 0.02716 | 0.000 | 0.0768 | 0.1832 | 1.476 | |
Note: *, the mean difference is significant at 0.05 level; EG, Experimental group; CG, Control group; SE, Standard error.

Figure 3
The mean score of in situ smash accuracy across time for both groups.
Table 10
Descriptive statistics of jump smash accuracy between groups across the time
| Variable | Group | Baseline | Posttest1 | Posttest2 | |||
|---|---|---|---|---|---|---|---|
| Mean value | Std. deviation | Mean value | Std. deviation | Mean value | Std. deviation | ||
| Jump smash accuracy | EG | 0.68 | 0.064 | 0.72 | 0.083 | 0.84 | 0.060 |
| CG | 0.69 | 0.123 | 0.69 | 0.121 | 0.72 | 0.114 | |
Note: EG, Experimental group; CG, Control group.
Table 11
Results of GEE on jump smash accuracy score
| Variable | Source | Wald chi-square | df | p-value |
|---|---|---|---|---|
| Jump smash accuracy | Group | 5.359 | 1 | <0.05 |
| Time | 69.413 | 2 | <0.001 | |
| Group * Time | 34.962 | 2 | <0.001 | |
| Age♦ | 0.303 | 1 | 0.582 | |
| Training time♦ | 1.536 | 1 | 0.215 | |
| Height♦ | 0.497 | 1 | 0.481 | |
| Weight♦ | 0.401 | 1 | 0.526 |
Note: df, degrees of freedom; ♦, covariates.
Table 12
Within groups comparison of jump smash accuracy mean scores across the time for different groups
| Variable | Group | (I) time | (J) time | Mean difference (I–J) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||||
| Jump smash accuracy | EG | Posttest2 | Posttest1 | 0.120* | 0.013 | 0.000 | 0.088 | 0.152 | 2.579 |
| Posttest2 | Baseline | 0.165* | 0.016 | 0.000 | 0.126 | 0.204 | |||
| Posttest1 | Baseline | 0.045 | 0.019 | 0.060 | −0.001 | 0.091 | |||
| CG | Posttest2 | Posttest1 | 0.025 | 0.024 | 0.915 | −0.033 | 0.083 | 0.253 | |
| Posttest2 | Baseline | 0.030 | 0.020 | 0.408 | −0.018 | 0.078 | |||
| Posttest1 | Baseline | 0.005 | 0.027 | 1.000 | −0.059 | 0.069 | |||
Note: *, the mean difference is significant at 0.05 level; EG, Experimental Group; CG, Control group; SE, Standard Error.
Table 13
Between groups comparison of mean score for jump smash accuracy at three different times
| Variable | Time | Mean difference (EG–CG) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||
| Jump smash accuracy | Baseline | −0.010 | 0.030 | 0.740 | −0.069 | 0.049 | 0.102 |
| Posttest1 | 0.030 | 0.032 | 0.349 | −0.033 | 0.093 | 0.096 | |
| Posttest2 | 0.125* | 0.028 | 0.000 | 0.070 | 0.180 | 1.317 | |
Note: *, the mean difference is significant at 0.05 level; EG, Experimental group; CG, Control group; SE, Standard error.

Figure 4
The mean score of jump smash accuracy across time for both groups.
Table 14
Descriptive statistics of move smash accuracy between groups across the time
| Variable | Group | Baseline | Posttest1 | Posttest2 | |||
|---|---|---|---|---|---|---|---|
| Mean value | Std. deviation | Mean value | Std. deviation | Mean value | Std. deviation | ||
| Move smash accuracy | EG | 0.73 | 0.092 | 0.79 | 0.104 | 0.86 | 0.089 |
| CG | 0.72 | 0.132 | 0.73 | 0.121 | 0.76 | 0.082 | |
Note: EG, Experimental group; CG, Control group.
Table 15
Results of GEE on move smash accuracy score
| Variable | Source | Wald chi-square | df | p-value |
|---|---|---|---|---|
| Move smash accuracy | Group | 4.298 | 1 | <0.05 |
| Time | 22.44 | 2 | <0.001 | |
| Group * Time | 5.895 | 2 | <0.05 | |
| Age♦ | 0.279 | 1 | 0.597 | |
| Training time♦ | 0.777 | 1 | 0.378 | |
| Height♦ | 0.434 | 1 | 0.51 | |
| Weight♦ | 0.011 | 1 | 0.915 |
Note: df, degrees of freedom; ♦, covariates.
Table 16
Within groups comparison of move smash accuracy mean scores across the time for different groups
| Variable | Group | (I) time | (J) time | Mean difference (I–J) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||||
| Move smash accuracy | EG | Posttest2 | Posttest1 | 0.07 | 0.033 | 0.106 | −0.010 | 0.150 | 1.436 |
| Posttest2 | Baseline | 0.125* | 0.028 | <0.001 | 0.058 | 0.192 | |||
| Posttest1 | Baseline | 0.055* | 0.023 | 0.049 | 0.000 | 0.110 | |||
| CG | Posttest2 | Posttest1 | 0.035 | 0.023 | 0.368 | −0.019 | 0.089 | 0.364 | |
| Posttest2 | Baseline | 0.04 | 0.023 | 0.238 | −0.015 | 0.095 | |||
| Posttest1 | Baseline | 0.005 | 0.013 | 1.000 | −0.027 | 0.037 | |||
Note: *, the mean difference is significant at 0.05 level; EG, Experimental group; CG, Control group; SE, Standard error.
Table 17
Between groups comparison of mean score for move smash accuracy at three different times
| Variable | Time | Mean difference (EG–CG) | SE | p-value | 95% CI for difference | Effect size (d) | |
|---|---|---|---|---|---|---|---|
| Lower | Upper | ||||||
| Move smash accuracy | Baseline | 0.010 | 0.035 | 0.776 | −0.059 | 0.079 | 0.088 |
| Posttest1 | 0.060 | 0.035 | 0.084 | −0.008 | 0.128 | 0.532 | |
| Posttest2 | 0.095* | 0.026 | 0.000 | 0.043 | 0.147 | 1.169 | |
Note: *, the mean difference is significant at 0.05 level; EG, Experimental group; CG, Control group; SE, Standard error.

Figure 5
The mean score of move smash accuracy across time for both groups.
Table A1
Personal details of intervention training program experts
| Organization | Title and Degree | Area for research |
|---|---|---|
| Tianjin Institute of Physical Education | Professor | Sports training |
| Guangxi Normal University | Professor | Physical education |
| Jiangxi University of Science and Technology | Associate professor | Physical education |
| Shanghai Institute of Physical Education | Doctor of Philosophy | Sport psychology |
| Ningxia Institute of Technology | Professor | Physical education |
| Nankai University | Badminton coach | Physical education |
Table A2
Core training intervention protocol
| Duration (week) | Time (min) | Frequency (times/week) | Types | Sets | Repetition (time) | Rest (s) | Intensity | Improvement suggestions |
|---|---|---|---|---|---|---|---|---|
| 1–3 | 25 | 3 | 1-Abdominal bracing | 40 s | 3 | 60–90 | Low-threshold training (50%–60%HRmax) | |
| 2-Plank | 40 s | 3 | 60–90 | |||||
| 3-Left-side bridge | 40 s | 3 | 60–90 | |||||
| 4-Right-side bridge | 40 s | 3 | 60–90 | |||||
| 4–5 | 25 | 3 | 1-Abdominal bracing | 40 s | 3 | 60–90 | Intermediate- threshold training (55%–65%HRmax) | |
| 2-Plank | 40 s | 3 | 60–90 | |||||
| 5-Russian twist | 20 reps | 3 | 60–90 | |||||
| 6-Lie on your back and alternate leg lifts | 20 reps | 3 | 60–90 | |||||
| 7-Lie on your back and roll your belly | 20 reps | 3 | 60–90 | |||||
| 6–8 | 25 | 3 | 8-Dead bug | 30 reps | 3 | 60–90 | High-threshold training (60%–70%HRmax) | |
| 5-Russian twist | 30 reps | 3 | 60–90 | |||||
| 6-Lie on your back and alternate leg lifts | 30 reps | 3 | 60–90 | |||||
| 7-Lie on your back and roll your belly | 30 reps | 3 | 60–90 | |||||
| 10-Lie on your stomach and rise at both ends | 30 reps | 3 | 60–90 |
Table A3
Overall intervention protocol
| Duration (week) | Frequency (times/week) | Process & Time | EG (Core training intervention) | CG (Routine training intervention-The standard training program of school) | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Content of Physical training | Sets | Repetition (time) | Rest (s) | Intensity | Content of Physical training | Sets | Repetition (time) | Rest (s) | Intensity | |||||||||
| 1–3 | 3 | Warm up (10 min) | Move the wrist, shoulder, hip, knee, and ankle. (The standard training program of school) | |||||||||||||||
| Intervention (25 min) | Abdominal bracing | 40 sec | 3 | 60–90 | 50–60% HRmax | Jog | 40 sec | 3 | 60–90 | 50–60% HRmax | ||||||||
| Plank | 40 sec | 3 | 60–90 | Belly jump | 20 reps | 3 | 60–90 | |||||||||||
| Left side bridge | 40 sec | 3 | 60–90 | high knee lift | 40 sec | 3 | 60–90 | |||||||||||
| Right side bridge | 40 sec | 3 | 60–90 | Squat against the wall | 40 sec | 3 | 60–90 | |||||||||||
| Cool down (10 min) | Upper trapezius stretches, lunge with spinal twist, cobra pose, side split, sit and-reach (The standard training program of school) | |||||||||||||||||
| 4–5 | 3 | Warm up (10 min) | Move the wrist, shoulder, hip, knee, and ankle. (The standard training program of school) | |||||||||||||||
| Intervention (25 min) | Abdominal bracing | 40 sec | 3 | 60–90 | 55–65% HRmax | Jog | 40sec | 3 | 60–90 | 55–65% HRmax | ||||||||
| Plank | 40 sec | 3 | 60–90 | Belly jump | 20 reps | 3 | 60–90 | |||||||||||
| Russian twist | 20 reps | 3 | 60–90 | high knee lift | 20 sec | 3 | 60–90 | |||||||||||
| Lie on your back and alternate leg lifts | 20 reps | 3 | 60–90 | Squat against the wall | 40 sec | 3 | 60–90 | |||||||||||
| Lie on your back and roll your belly | 20 reps | 3 | 60–90 | Double run | 20 sec | 3 | 60–90 | |||||||||||
| Cool down (10 min) | Upper trapezius stretches, lunge with spinal twist, cobra pose, side split, sit and-reach (The standard training program of school) | |||||||||||||||||
| 6–8 | 3 | Warm up (10 min) | Move the wrist, shoulder, hip, knee, and ankle. (The standard training program of school) | |||||||||||||||
| Intervention (25 min) | Dead bug | 30 reps | 3 | 60–90 | 60–70% HRmax | Jog | 40 sec | 3 | 60–90 | 60–70% HRmax | ||||||||
| Russian twist | 30 reps | 3 | 60–90 | Belly jump | 20 reps | 3 | 60–90 | |||||||||||
| Abdominal rollout | 30 reps | 3 | 60–90 | high knee lift | 30 sec | 3 | 60–90 | |||||||||||
| Plate alternation | 30 reps | 3 | 60–90 | Squat against the wall | 30 sec | 3 | 60–90 | |||||||||||
| Lie on your stomach and rise at both ends | 30 reps | 3 | 60–90 | Double run | 20 sec | 3 | 60–90 | |||||||||||
| Cool down (10 min) | Upper trapezius stretches, lunge with spinal twist, cobra pose, side split, sit and-reach (The standard training program of school) | |||||||||||||||||
| Improvement suggestions | ||||||||||||||||||
Table A4
Expert evaluation form for intervention measurement
| Type | Relevance | Clarity | Improvement suggestions | ||||||
| 4 | 3 | 2 | 1 | 4 | 3 | 2 | 1 | ||
| Exercises selection | |||||||||
| Duration | |||||||||
| Frequency | |||||||||
| Sets/Repetitions | |||||||||
| Process and time | |||||||||
| Rest/Recovery | |||||||||
| Intensity | |||||||||
| Content of warm-up | |||||||||
| Content of cool down | |||||||||
Table A5
Instrument used to measure physical fitness
| Variables | Measurement method | Instrument | Unit | Reference | Improvement suggestions |
|---|---|---|---|---|---|
| Strength | Sit-ups | Stopwatch | Numbers | [39] | |
| Power | Standing long jump | Meter rule | cm | [40] | |
| Speed | Run 20 times with a low center of gravity | Stopwatch | s | [41] | |
| Agility | The Illinois agility test (IAT) | Stopwatch | s | – | |
| Endurance | Jumping rope | Stopwatch | Numbers | [42] | |
| Balance | Y Balance Test (YBT) | YBT kit | cm | [43] | |
| Stability | One-legged standing with eyes closed test | Stopwatch | s | [44] | |
| Flexibility | Sit-and-reach | Sit-and-reach box | cm | [45] |
Table A6
Instrument used to measure smash performance
| Variables | Measurement method | Instrument | Unit | Reference | Improvement suggestions | |
|---|---|---|---|---|---|---|
| In situ smash accuracy | Ball placement test | Colored string. Leopard smart shuttlecock throwing machine. | Count | [11] | ||
| Jump smash accuracy | Ball placement test | |||||
| Move smash accuracy | Ball placement test | |||||
| In situ smash velocity | Ball speed test | Smart badminton sensor. Leopard smart shuttlecock throwing machine. | km/h | |||
| Jump smash velocity | Ball speed test | |||||
| Move smash velocity | Ball speed test | |||||
Source: Ref. [11].
Table A7
Expert evaluation form for outcome measurement
| Type | Relevance | Clarity | Improvement suggestions | ||||||
|---|---|---|---|---|---|---|---|---|---|
| 4 | 3 | 2 | 1 | 4 | 3 | 2 | 1 | ||
| Strength test | |||||||||
| Power test | |||||||||
| Endurance test | |||||||||
| Speed test | |||||||||
| Agility test | |||||||||
| Balance test | |||||||||
| Stability test | |||||||||
| Flexibility test | |||||||||
| Smash accuracy test | |||||||||
| Smash velocity test |

Figure A1
Core training moves. (1) Abdominal bracing, (2) plank, (3) left-side bridge, (4) right-side bridge, (5) Russian twist, (6) lie on your back and alternate leg lifts, (7) lie on your back and roll your belly, (8) dead bug, (9) abdominal rollout, and (10) lie on your stomach and rise at both ends.
Source: Ref. [25].

Figure A2
Sit-ups.
Source: Ref. [39].

Figure A3
Standing long jump.
Source: Ref. [40].

Figure A4
Jumping rope.
Source: Ref. [46].

Figure A5
Run 20 times with a low center of gravity.
Source: Ref. [41].

Figure A6
Illinois agility test.
Source: Ref. [47].

Figure A7
Y Balance Test.
Source: Ref. [43].

Figure A8
One-legged standing with eyes closed test.
Source: Ref. [44].

Figure A9
Sit-and-reach test.
Source: Ref. [45].

Figure A10
Smash test.
Source: Ref. [11].