3.1. Study Design and Setting
This parallel-group randomized controlled study used baseline and follow-up assessments to examine whether an 8-week functional hopping program could improve pain, strength, and functional outcomes in male volleyball players recovering after ACLR. The study was conducted in Urmia, Iran, from April to October 2025. The local institutional review board of Shahrood University of Technology granted ethical clearance (Code: IR.SHAHROODUT.REC.1403.050), and all procedures complied with the Declaration of Helsinki. Written informed consent was obtained from all participants, who retained the right to withdraw at any time. Data were anonymized and stored securely to ensure confidentiality. Safety measures included medical supervision and immediate cessation of exercise if adverse symptoms were reported.
3.2. Participants and Eligibility Criteria
The required sample size was estimated before data collection using G*Power (v3.1), based on a medium effect size (d = 0.53) from the Triple Hop Test (
15), selected for its biomechanical relevance to volleyball tasks. Although this estimate was derived from soccer players with chronic ankle instability, the source was considered pragmatically appropriate because of shared neuromuscular deficits, including proprioception, dynamic control, and unilateral power, and similar responsiveness to hopping interventions targeting the stretch-shortening cycle. Assuming alpha = 0.05, power = 80%, and 10% attrition, 30 participants (15/group) were sufficient to identify intergroup differences in the co-primary endpoint of lower-extremity isometric strength. Pain and functional tests were analyzed with equal rigor but did not inform the power calculation. Given the limited precision for detecting small effects or conducting subgroup analyses with n = 15/group, P values were interpreted alongside effect sizes (η
2) and clinical relevance to support conservative inference.
The target population comprised male volleyball players aged 20 - 35 years with a history of unilateral ACLR (≤ 1 prior reconstruction) who were referred to orthopedic clinics in Urmia. Inclusion criteria were: 1) male volleyball players aged 20 - 35 years; 2) 6 - 12 months post-ACLR, consistent with standard rehabilitation protocols (
19); 3) a pain score of 5 - 6 on the VAS during squatting; 4) absence of prior surgical procedures or recent trauma in the lumbar spine or lower limbs, excluding the reconstructed knee; and 5) ability to complete all functional assessments and provide written informed consent.
Participants were excluded if they missed more than three scheduled training sessions, reported exercise-induced pain during the intervention period, or voluntarily withdrew from the study at any stage.
3.3. Randomization
A statistician independent of the research team generated the randomization sequence using a random number table. Allocation concealment was ensured by placing group assignments in sequentially numbered, opaque, sealed envelopes that were opened only after baseline assessment and eligibility confirmation. Equal allocation (1:1) was used to assign participants to the intervention or control group. Owing to the exercise-based nature of the intervention, blinding of participants and interventionists was impractical. However, all outcome measurements and statistical analyses were performed by personnel unaware of group allocation (single-blind design). To minimize selection bias, inclusion and exclusion criteria were explicitly defined, and a purposive-random sampling approach was used.
3.4. Outcomes
The primary outcome was change in pain intensity during squatting, quantified using a 10-cm VAS. Co-primary outcomes included isometric muscle strength of the hip, knee, and ankle, assessed using calibrated hand-held dynamometry. Sport-specific functional performance, assessed using the Triple Hop and Figure-8 Hop tests, was designated as a secondary outcome. All outcomes were evaluated at two prespecified time points: before the intervention and immediately after completion at week 8, which served as the primary endpoint for analysis. No exploratory or post hoc outcomes were assessed.
Squatting pain was quantified using a 10-cm VAS (
20).
Isometric muscle strength of the lower extremity was quantitatively assessed using a calibrated hand-held dynamometer (North Coast Medical, USA; model #NC15750; validity, 95 - 98%; inter-rater reliability, ICC = 0.96 - 0.99) (
21), following the standardized positioning and stabilization protocol described by Kendall et al. (2005). All assessments were conducted by a single trained examiner who remained blinded to group allocation throughout data collection.
Lower-extremity isometric strength was measured using a calibrated hand-held dynamometer (North Coast Medical, USA) according to standardized protocols (
22,
23). Before assessment, participants completed a standardized 5-minute warm-up that included low-intensity cycling and dynamic stretching. For each muscle group, participants were positioned according to Kendall's guidelines to isolate the target musculature and minimize compensatory movements (
Figures 1-
4).
Assessment of isometric hip abduction strength using a hand-held dynamometer. Participant positioned side-lying on non-test limb with pelvis stabilized; dynamometer pad placed 5 cm proximal to lateral knee joint line during maximal isometric abduction effort.
For hip abduction, participants lay in a side-lying position on the non-test limb, with the test limb in neutral rotation and 10 degrees of abduction. The pelvis and trunk were stabilized using straps. Following Kendall's stabilization protocol, the dynamometer was positioned on the distal thigh, 5 cm proximal to the lateral knee joint line, to isolate hip abductor output and minimize compensatory movements (
Figure 1). Participants performed a maximal isometric abduction effort against resistance for 5 seconds (
22,
23).
For hip adduction, participants lay side-lying on the evaluated leg, while the contralateral leg was bent at both the hip and knee joints and supported on a stool (
Figure 2). The point of force application for hip adduction testing was standardized at 5 cm proximal to the medial femoral condyle, where the dynamometer sensor was firmly positioned. Participants performed a maximal isometric adduction effort while maintaining pelvic stability (
23,
24).
Assessment of isometric hip adduction strength. Participant lies side-lying on test limb with contralateral hip and knee flexed and supported. Dynamometer positioned 5 cm proximal to medial femoral condyle during maximal isometric adduction.
For knee flexion, participants were placed in a prone position with the knee flexed to 90 degrees. The thigh was stabilized with straps, and the dynamometer pad was placed on the posterior aspect of the distal tibia, 5 cm proximal to the lateral malleolus (
Figure 3). Participants performed a maximal isometric hamstring contraction (
23,
24).
Measurement of isometric knee flexion strength. Participant positioned prone with knee flexed to 90° and thigh stabilized. Dynamometer pad placed on posterior aspect of distal tibia (5 cm proximal to lateral malleolus) during maximal hamstring contraction.
For knee extension, participants were positioned supine with the knee flexed to 90 degrees and the thigh stabilized (
Figure 4). The dynamometer pad was positioned on the anterior aspect of the distal tibia. Participants performed a maximal isometric quadriceps contraction (
23,
25).
Measurement of isometric knee extension strength. Participant positioned supine with knee flexed to 90° and thigh secured. Dynamometer placed on anterior aspect of distal tibia while participant performs maximal isometric quadriceps contraction.
For ankle dorsiflexion and plantarflexion, participants were seated with the knee in full extension and the ankle in neutral alignment. The point of force application for both ankle motions was standardized proximal to the metatarsophalangeal joints: plantarly for plantarflexion and dorsally for dorsiflexion assessments. Participants performed maximal isometric efforts in each direction (
23,
25).
Three 5-second maximal isometric efforts were recorded for each target muscle, separated by 30 seconds of rest between repetitions and accompanied by standardized verbal encouragement to optimize performance. Peak force (kg) was recorded for each trial, and the mean of three trials for the reconstructed limb was used for analysis. Participants completed one familiarization trial per movement before testing. The device was calibrated before each testing session according to the manufacturer's guidelines, and examiner reliability was confirmed during piloting (ICC > 0.95). Participants abstained from caffeine and vigorous exercise for 24 hours before assessment to minimize physiological variability.
Lower-limb functional capability was evaluated using the Triple Hop and Figure-8 Hop tests, validated field measures of unilateral power, dynamic stability, and neuromuscular control (
15,
26). The distance-based Triple Hop assessment was performed on a 6-m tape fixed to a nonslip surface. Participants hopped consecutively three times on the test limb, maintained the final landing for ≥ 3 seconds without contralateral support, and the greatest total distance (cm) from two trials was recorded (
15). The Figure-8 Hop Test evaluated agility and dynamic postural control on a 5 x 1-m cone-configured course. Participants completed two circuits at maximal speed with hands on the iliac crests; the fastest time, measured with 0.01-second precision, from two timed trials was retained (
15). Both tests demonstrate excellent inter-rater reliability (ICC = 0.99) in athletic populations (
15), supporting their sensitivity for detecting clinically meaningful functional changes after rehabilitation. Standardized warm-up, practice trials, and verbal feedback on landing mechanics were provided to ensure consistency and safety (
15).
3.5. Intervention Protocol
The intervention group completed an 8-week functional hopping program based on the protocol developed by Mohammadi Nia Samakosh et al. (
15). Sessions were held three times per week and lasted approximately 40 minutes each, including a 5-minute warm-up, a 30-minute main intervention, and a 5-minute cool-down, under the supervision of a certified corrective exercise specialist and an orthopedic physician.
The program comprised six progressive hopping exercises: lateral hops, forward-backward hops, zigzag hops, square-pattern hops, figure-8 hops, and single-leg hops. Training volume and intensity were systematically increased across weeks by modifying repetition schemes; altering support conditions, progressing from bilateral to unilateral support; and adjusting arm positioning, progressing from free arm swing to hands on chest and then to hands behind head. Rest intervals were standardized at 30 seconds between sets and 1 minute between exercises. Participants received verbal feedback to maintain proper landing mechanics, avoid dynamic knee valgus, and ensure controlled foot-ground contact (
Table 1).
| Weeks and Exercises | Sets x Reps | Support Condition | Arm Position | Rest (Between Sets/Exercises) | Progression Focus and Coaching Cues |
|---|
| 1 - 2 | | | | | |
| Lateral Hop | 2 x 10 | Bilateral | Free | 30 s / 1 min | Land softly with knees aligned over toes; maintain trunk stability |
| Forward-Backward Hop | 2 x 10 | Bilateral | Free | 30 s / 1 min | Control deceleration; avoid excessive forward trunk lean |
| Zigzag Hop | 2 x 8 | Bilateral | Free | 30 s / 1 min | Smooth direction changes; minimize ground contact time |
| 3 - 4 | | | | | |
| Square-Pattern Hop | 3 x 8 | Bilateral to dominant-leg support | Hands on chest | 30 s / 1 min | Maintain square geometry; emphasize quick, controlled turns |
| Figure-8 Hop | 3 x 6 | Bilateral to dominant-leg support | Hands on chest | 30 s / 1 min | Follow cone path precisely; avoid dynamic knee valgus |
| Single-Leg Hop (straight) | 2 x 8 | Unilateral (reconstructed limb) | Hands on chest | 45 s / 1.5 min | Stable single-leg landing; hold final position ≥ 3 s |
| 5 - 6 | | | | | |
| Lateral Hop (unilateral) | 3 x 10 | Unilateral | Hands on chest to behind head | 45 s / 1.5 min | Increase lateral displacement; maintain pelvic alignment |
| Zigzag Hop (unilateral) | 3 x 8 | Unilateral | Behind head | 45 s / 1.5 min | Faster tempo; emphasize eccentric control on direction change |
| Figure-8 Hop (timed) | 3 x 4 circuits | Unilateral | Behind head | 60 s / 2 min | Maximal speed with quality; record time for feedback |
| 7 - 8 | | | | | |
| Multi-Directional Hop Circuit | 4 x 6 each | Unilateral | Behind head | 30 s / 2 min | Sport-specific sequencing; simulate volleyball landing scenarios |
| Single-Leg Triple Hop | 3 x 5 | Unilateral | Behind head | 60 s / 2 min | Maximize distance while maintaining landing stability ≥ 3 s |
| Reactive Hop (coach cue) | 3 x 8 | Unilateral | Behind head | 45 s / 1.5 min | Respond to verbal/visual cues; enhance neuromuscular reactivity |
3.6. Control Group
Participants allocated to the standard-care cohort continued their prescribed clinic-based standard-of-care rehabilitation appropriate for the 6 - 12-month post-ACLR phase. This program typically included progressive resistance training (2 - 3 sessions/week, 45 - 60 minutes/session), neuromuscular control drills, balance exercises, and sport-specific return-to-sport conditioning, as directed by the treating orthopedic surgeon and physical therapist. Although total training exposure and therapist contact varied according to individual clinical prescriptions, all participants followed standard institutional protocols for late-stage ACLR recovery. Compliance was monitored using weekly self-reported training logs and biweekly telephone follow-ups to ensure adherence and prevent contamination; no structured hopping or high-impact plyometrics were permitted. All control participants maintained their routine rehabilitation schedule throughout the 8-week study period. Given the pragmatic nature of the control condition, total rehabilitation dose and supervision frequency were not strictly matched between groups. However, the design intentionally evaluated the additive clinical and functional effects of integrating a structured functional hopping program into standard late-stage ACLR rehabilitation. After post-intervention assessments, the control group was offered the functional hopping program as a crossover intervention.
3.7. Statistical Analysis
Using SPSS version 26 (IBM Corp.), data were analyzed as follows: Baseline characteristics were summarized as means ± SD or frequencies (%), and normality was assessed using the Shapiro-Wilk test. Initial between-group comparisons were conducted using independent t tests or Mann-Whitney U tests, depending on data distribution. Primary between-group comparisons for each outcome were conducted using one-way analysis of covariance (ANCOVA). Specifically, the post-intervention score was set as the dependent variable, allocation group (intervention vs. control) was the fixed predictor, and the pre-intervention value was the sole covariate; no additional covariates were included in the model. Intragroup changes were analyzed using paired t tests. Effect sizes (partial eta squared, η2) quantified intervention magnitude. The alpha level was set at 0.05 for all statistical evaluations. Given the high physiological intercorrelation among lower-extremity strength measures and the pragmatic nature of this rehabilitation trial, formal multiplicity adjustments, such as Bonferroni or Holm corrections, were not applied to avoid inflating type II error across clinically related endpoints. Instead, statistical significance (alpha = 0.05) was interpreted alongside partial eta squared (η2) effect sizes and clinical relevance. Findings across multiple strength and functional outcomes are reported with conservative, effect-size-driven interpretation to align with CONSORT recommendations for trials with correlated endpoints.