Abstract
Background/Objectives: Non-traumatic (degenerative) rotator cuff tendinopathy with partial supraspinatus tear (NT-RCTT) is a common source of shoulder pain and disability. Comparative evidence between radial extracorporeal shock wave therapy (rESWT) and multimodal physical therapy modalities (PTMs) remains scarce. Methods: In this single-center randomized controlled trial, 60 adults with MRI-confirmed NT-RCTT were assigned (1:1) to rESWT (one session weekly for six weeks; 2000 impulses per session, 2 bar air pressure, positive energy flux density 0.08 mJ/mm2; 8 impulses per second) or a multimodal PTM program (interferential current, shortwave diathermy and magnetothermal therapy; five sessions weekly for six weeks). All participants performed standardized home exercises. The primary outcome was the American Shoulder and Elbow Surgeons (ASES) total score; secondary outcomes included pain (visual analog scale, VAS), satisfaction, range of motion (ROM), supraspinatus tendon (ST) thickness and acromiohumeral distance (AHD). Assessments were conducted at baseline, and at week 6 (W6) and week 12 (W12) post-baseline. Results: Both interventions significantly improved all outcomes, but rESWT produced greater and faster effects. Mean ASES total scores increased by 31 ± 5 points with rESWT versus 26 ± 6 with PTMs (p < 0.05). VAS pain decreased from 5.2 ± 0.7 to 1.0 ± 0.7 with rESWT and from 5.2 ± 0.8 to 1.7 ± 0.8 with PTMs (p < 0.01). rESWT achieved higher satisfaction and larger gains in abduction, flexion and external rotation. Ultrasound showed reduced ST thickness and increased AHD after rESWT but not after PTMs. No serious adverse events occurred. Conclusions: rESWT yielded superior pain relief, functional recovery and tendon remodeling compared with a multimodal PTM program, with markedly lower treatment time and excellent tolerability.
1. Introduction
Non-traumatic (degenerative) rotator cuff tendinopathy is a leading cause of shoulder pain and functional limitation in adults, with incidence rates reported between 13% and 37% [1]. Among these cases, supraspinatus tendinopathy—with or without partial-thickness tearing—accounts for over 90% of presentations [2,3]. Partial-thickness tears of the supraspinatus tendon (ST), commonly detected by magnetic resonance imaging (MRI) or ultrasonography, are considered part of the degenerative tendinopathy spectrum [2]. Non-traumatic (degenerative) rotator cuff tendinopathy with partial supraspinatus tear (hereafter, NT-RCTT) not only diminishes quality of life but also imposes a significant socioeconomic and healthcare burden [3].
Management of NT-RCTT includes both conservative and surgical approaches. According to the 2019 Clinical Practice Guidelines of the American Academy of Orthopaedic Surgeons (AAOS), surgical repair is primarily recommended for symptomatic full-thickness or acute tears, or when conservative management fails [4]. Most partial-thickness tears and non-calcific tendinopathies are best managed conservatively through exercise therapy and various physical therapy modalities (PTMs), such as interferential current therapy, shortwave diathermy, magnetotherapy, ultrasound, laser therapy and pulsed electromagnetic field therapy (e.g., [5,6,7,8,9,10,11,12,13]), as well as extracorporeal shock wave therapy (ESWT) (reviewed in [14,15,16]). Although many PTMs have shown therapeutic benefits [5,6,7,8,9,10,11,12,13,14,15,16], direct comparative randomized controlled trials (RCTs) evaluating their relative efficacy remain scarce [12,13].
Over the past decades, ESWT has gained prominence as a non-invasive treatment for musculoskeletal disorders [14,15,16]. Two main variants exist: focused ESWT (fESWT) and radial ESWT (rESWT) [14,17]. Both modalities generate acoustic impulses that trigger biological responses leading to pain reduction and tissue remodeling, and appear to operate via similar mechanisms [17]. Their main distinction lies in the pattern of energy distribution and the depth of tissue penetration [14]. Ultrasonographic measurements have shown that the ST is located at an average depth of approximately 9–10 mm beneath the skin surface in individuals with normal body mass index (BMI; i.e., up to 25 kg/m2), and around 19 mm in overweight or obese individuals [18]. Even in obese patients, the ST remains within 2 cm of the skin surface [18]. Furthermore, in the hand-in-back position, depth to the ST was reduced by 1.1–8.5 mm [18]. This superficial position places the ST well within the effective penetration range of rESWT [19], making it a suitable and accessible treatment target across different body types. Indeed, evidence supports the safety and efficacy of rESWT in both calcific and non-calcific shoulder tendinopathies [20,21,22]. However, rigorous head-to-head comparisons between rESWT and multimodal PTM programs in NT-RCTT are lacking.
Traditional multimodal PTM programs—combinations of electrotherapeutic and thermal modalities such as interferential current, shortwave diathermy and magnetothermal therapy—are widely employed in rehabilitation settings to reduce inflammation, relieve pain and improve circulation (e.g., [23,24,25,26,27]). Yet, the magnitude and durability of their clinical benefits relative to rESWT remain uncertain. Furthermore, the potential of rESWT to induce structural tendon changes, as reflected in ultrasonographic measures of ST thickness and acromiohumeral distance (AHD), warrants further investigation.
Given the paucity of comparative data, this study aimed to evaluate whether rESWT yields superior clinical and structural outcomes compared with a representative multimodal PTM program in adults with NT-RCTT. We hypothesized that (i) both rESWT and multimodal PTMs would result in significant improvements in shoulder function, pain reduction, patient satisfaction, shoulder range of motion (ROM) and sonographic tendon morphology, but (ii) rESWT would produce superior outcomes without an increased risk of adverse events.
2. Materials and Methods
This prospective, single-center randomized controlled trial (RCT) compared rESWT with a multimodal PTM program in adults with NT-RCTT. The trial complied with the Declaration of Helsinki (2024 revision [28]) and the CONSORT 2010 guidelines for RCTs [29]. The study protocol was approved by the Ethics Committee of Shanghai Sixth People’s Hospital affiliated with Shanghai Jiao Tong University School of Medicine (approval No. 2023-132-(1)) and prospectively registered in the Chinese Clinical Trial Register (ChiCTR2300077386; registration date: 7 November 2023). All participants provided written informed consent prior to enrollment.
Eligible participants were adults aged 18–65 years with unilateral shoulder pain lasting at least four weeks. Inclusion criteria were: (1) unilateral shoulder pain with or without restricted shoulder ROM; (2) MRI demonstrating abnormal ST morphology with partial-thickness tear; (3) ultrasonographic confirmation of NT-RCTT on the affected side and a normal contralateral shoulder; and (4) absence of contraindications to rESWT or PTMs. Exclusion criteria included: (1) traumatic or bilateral shoulder symptoms; (2) calcific tendinitis or full-thickness ST tear; (3) combined shoulder pathology (fracture, dislocation or nerve injury); (4) prior local injection therapy; (5) active infection, inflammatory, neoplastic or systemic joint disease (e.g., rheumatoid arthritis); (6) severe osteoporosis or coagulation disorder; (7) presence of a pacemaker or defibrillator, pregnancy or sensory dysfunction; (8) cognitive impairment or psychiatric illness; and (9) refusal to consent or noncompliance with study procedures.
Figure 1 presents representative shoulder MRI scans of two patients at baseline.
Figure 1.
(a,b) Representative shoulder MRI scans of two patients at baseline. Panels (a1,b1) show proton density–weighted fast spin-echo images in the coronal plane with fat saturation and autocalibration for parallel imaging; panels (a2,b2) show T1-weighted fast spin-echo images in the same plane with identical parameters. Yellow arrows indicate partial-thickness ST tears. All patient-identifying information has been removed to protect privacy.
All diagnoses were made by board-certified rehabilitation physicians with at least ten years of clinical and musculoskeletal imaging experience. MRI and ultrasonography results were reviewed by a blinded musculoskeletal radiologist. The sample size was calculated using G*Power 3.1 [30,31] (test family: F tests; MANOVA, repeated measures, within–between interaction) with α = 0.05 (two-tailed), effect size f = 0.25 (medium), and power = 0.9, yielding 31 participants per group. Allowing for a 20% dropout, a total of 62 participants (31 per group) was required.
A total of 69 participants were randomized, of whom 60 (30 per group) initiated treatment and were included in the modified intention-to-treat (mITT) analysis. Randomization sequences were generated using the SAS PROC PLAN procedure (SAS Studio version 2023.10, SAS Institute, Cary, NC, USA) with a block size of 6. Participants were allocated to two groups: 33 to Group A and 36 to Group B. Allocation codes were sealed in opaque, sequentially numbered envelopes held by an independent coordinator. After baseline assessments, the principal investigator opened the envelope corresponding to each participant’s identification number to confirm group allocation. Three participants in the rESWT group and six in the PTM group withdrew before treatment initiation and were excluded from the mITT analysis. Baseline characteristics of withdrawn participants were compared with those who completed treatment to assess potential bias. Outcome assessors and the musculoskeletal radiologist were blinded to treatment allocation. Because participant and therapist blinding was not feasible, this limitation and its possible influence on subjective outcomes were acknowledged.
Participants assigned to rESWT received six weekly sessions using a Swiss DolorClast rESWT device (Electro Medical Systems, Nyon, Switzerland) with an EvoBlue handpiece and a 15 mm applicator. Each session delivered 2000 radial extracorporeal shock waves (rESWs) at a positive energy flux density (EFD+) of 0.08 mJ/mm2 (2 bar air pressure; [19]), at a frequency of 8 rESWs per second, for approximately five minutes. Participants were seated with the affected arm placed behind the body (palm to iliac spine), and the treatment site was identified under ultrasound guidance. rESWs were applied circumferentially around the lesion without local anesthesia or sedation.
It should be noted that protocols for rESWT that would represent a consensus in the literature for the treatment of NT-RCTT do not exist. The PEDro database [32]—whose relevance for ESWT research has been established previously [14]—currently lists only seven RCTs investigating ESWT for non-calcific rotator cuff tendinopathy [33,34,35,36,37,38,39], which most closely corresponds to the indication examined in the present study. Only one of these trials used rESWT, whereas the remaining six applied fESWT. Table 1 summarizes the key characteristics of the ESWT treatment protocols used in these studies; Table A1 in Appendix A provides additional details.
Table 1.
Key characteristics of the ESWT treatment protocols used in RCTs on non-calcific rotator cuff tendinopathy listed in the PEDro database as of 14 December 2025; additional details are provided in Table A1 in Appendix A.
One study [37] demonstrated statistically significantly superior outcomes of ESWT compared with sham treatment, no treatment or an alternative therapy (Category 1 in Table 1). Three studies [33,38,39] showed statistically significant clinical improvement from baseline with both ESWT and an alternative treatment, without significant between-group differences at follow-up (Category 2a in Table 1). Two studies [34,35] reported statistically significant improvement with both ESWT and sham or no treatment, again without significant between-group differences at follow-up (Category 2b in Table 1), and one study [36] compared different ESWT protocols (Category 3 in Table 1). No optimal treatment protocol for NT-RCTT could be derived. In light of the negative findings reported in [34,35], the present study employed a commonly used number of impulses per session (2000) and a standard inter-session interval of 7 days, with the EFD set at a level tolerated by all patients in the rESWT group. In contrast to earlier RCTs on non-calcific rotator cuff tendinopathy, which typically used two to four treatment sessions (see Table 1), the number of rESWT sessions was increased to six.
Participants in the PTM group underwent a multimodal PTM program consisting of 30 sessions over six weeks (five sessions per week). Each session included interferential current therapy for 15 min (SK-10WDX, Minato Medical Science Co., Ltd., Osaka, Japan), shortwave diathermy for 10 min (DL-C-M, Shantou Medical Equipment Factory Co., Ltd., Shantou, China) and magnetothermal therapy for 20 min (Hot Magner HM-202, Chuo Medical System Co., Ltd., Tokyo, Japan; low-heat mode).
Protocols for applying a multimodal PTM program consisting of interferential current therapy, shortwave diathermy and magneto-thermal therapy for the treatment of NT-RCTT have not been published. The selection of these modalities and the specific settings used in the present study are based on our own clinical experience and may differ from those used at other institutions.
All participants received health education and home exercise instruction based on the AAOS Rotator Cuff and Shoulder Conditioning Program [40]. In addition, participants who, at any clinic visit, presented with restricted passive ROM or poor tolerance to active or passive shoulder movements underwent passive joint motion (PJM) using a continuous passive motion device (JKJ-1; Canwell Medical Co., Ltd., Jinhua, China). This intervention was implemented to prevent joint adhesions and to maintain or progressively improve shoulder ROM during the early phase of rehabilitation. All participants received at least one PJM session during the six-week treatment period. The number of PJM sessions, as well as the frequency and duration of application, were individualized according to clinical need and patient tolerance. PJM was administered once or twice daily, with each session lasting 20–30 min, for up to five sessions per week. The initial ROM settings were individualized based on the patient’s tolerance and clinical presentation, and the motion arc was progressively increased within a pain-free or minimally painful range; specific starting angles and progression rates therefore varied between patients. PJM was discontinued once the patient’s passive ROM reached functional levels, when the patient was able to effectively participate in active rehabilitation exercises, or when joint stiffness had substantially improved. PJM was not intended to directly facilitate rotator cuff tendon healing. Rather, PJM was expected to primarily influence ROM outcomes, whereas improvements in pain intensity and functional scores were considered to be largely attributable to rESWT or the multimodal PTM program.
Participants were instructed to avoid other rehabilitation treatments during the study. Attendance was recorded at each session, and home exercise compliance was monitored weekly through patient logs and therapist verification; adherence ≥80% was considered satisfactory. No participant received additional analgesic or rehabilitation interventions.
The primary outcome was the American Shoulder and Elbow Surgeons (ASES) Shoulder Score [41,42], which equally weights pain and function (0–100 scale; higher scores indicate better condition). The minimal clinically important difference (MCID) after conservative treatment of rotator cuff injury is 12–17 points [43]. Secondary outcomes included pain intensity on a visual analog scale (VAS, 0–10), patient satisfaction on a 10-point scale (0 = completely dissatisfied, 10 = completely satisfied), active and passive shoulder ROM (abduction, flexion, external rotation and internal rotation) measured using a digital goniometer (JL-360-01, Xinliang Instrument Technology Co., Ltd., Shanghai, China), and ultrasound-based structural parameters including ST thickness and acromiohumeral distance (AHD). Shoulder range of motion was assessed according to the protocol illustrated in Figure 3 of [44]. Specifically, flexion was evaluated in the sagittal plane with the elbow extended (see Figure 3a in [44]); abduction was evaluated in the scapular plane with the elbow extended (see Figure 3b in [44]); and external and internal rotation were evaluated with the shoulder in abduction (see Figure 3d in [44]).
Ultrasound evaluations were performed using a SonoScape E2 system (SonoScape Medical Corp., Shenzhen, China) following standardized protocols. ST thickness was measured at the most affected site and the corresponding contralateral point. AHD was defined as the shortest distance between the inferior acromion and the superior humeral head. Measurements were performed by a blinded musculoskeletal radiologist using a 12 MHz linear probe. All outcomes were assessed at baseline (BL), six weeks post-baseline (W6) and twelve weeks post-baseline (W12).
Statistical analyses were performed using GraphPad Prism (version 10.6.1 for Windows; GraphPad Software, Boston, MA, USA) under the modified intention-to-treat (mITT) framework, including all participants who received at least one treatment session. Data normality was assessed using the D’Agostino–Pearson test. As the majority of datasets for all investigated variables met the normality assumption, mixed-effects models were fitted using restricted maximum likelihood estimation (REML) to compare differences between follow-up time points and between groups. Fixed effects included time (three levels), treatment group (two levels), and the time-by-group interaction, while participants were modeled as random effects to account for repeated measures. For ST thickness, fixed effects also included side (two levels). The sphericity assumption was tested, and when violated, the Geisser–Greenhouse correction was applied. Statistical significance was set at α = 0.05 (two-sided). When significant effects were observed, Bonferroni-adjusted post hoc comparisons were performed for within-group contrasts (baseline vs. W6, baseline vs. W12 and W6 vs. W12) and for between-group differences at each time point to control the familywise error rate. As all participants included in the mITT population completed follow-up assessments, no imputation for missing data was required. The statistical power of the primary endpoint was calculated using OpenEpi [45].
To assess whether the exclusion of patients who refused treatment (and were therefore not included in the mITT population) introduced bias, baseline comparability between treatment groups was evaluated in both the full randomized and the mITT populations. For each baseline variable, standardized mean differences (SMDs) were calculated as the difference in group means divided by the pooled standard deviation for continuous variables, and by the pooled proportion standard error for binary variables [46]. Absolute changes in SMDs between the randomized and mITT populations < 0.1 were interpreted as negligible imbalance and values < 0.2 as acceptable.
3. Results
3.1. Participant Flow and Baseline Characteristics
Of 69 randomized participants, 60 (30 per group) began treatment and were included in the mITT population. Nine participants (3 in the rESWT group, 6 in the PTMs group) withdrew before starting treatment and were excluded from efficacy analyses. No participant was lost to follow-up after treatment initiation.
Figure 2 presents the CONSORT flow diagram illustrating enrollment, randomization, allocation, follow-up and analysis.
Figure 2.
Flow of patients through this trial according to the CONSORT statement [29].
Figure 3 presents a “Love plot” [46] illustrating the distribution of baseline SMDs before and after exclusion of patients who refused treatment.
Figure 3.
Distribution of baseline SMDs illustrating differences in baseline balance before and after exclusion of patients who refused treatment (black dots: full randomized population, n = 69; open dots: mITT population, n = 60). Absolute changes in SMDs between the randomized and mITT populations are shown alongside the variable names.
Baseline characteristics were well balanced between treatment groups in both the full randomized (n = 69) and mITT (n = 60) populations. SMDs for all baseline variables ranged from −0.20 to +0.25, remaining well below the conventional threshold of 0.3, which indicates good overall balance [46].
Excluding the nine patients who refused treatment resulted in only minor changes in SMDs across all variables (range 0.01–0.13). The largest shift (0.13) occurred for body height, while all other variables showed changes ≤ 0.10. These findings confirm that patient exclusion did not materially affect baseline comparability between treatment groups or introduce detectable selection bias.
The mITT population (n = 60) comprised 31 men (51.7%) and 29 women. Right shoulder involvement occurred in 65% of participants. At baseline, the two groups were comparable in demographic and clinical characteristics (Table 2; baseline data of the investigated variables are provided below).
Table 2.
Baseline demographic and clinical characteristics of the patients (mITT population) enrolled in this trial (baseline data of the investigated variables are provided below).
3.2. Primary Outcome: ASES Total Score
Table 3 summarizes the ASES Total Score data at baseline and key outcomes at W6 and W12, while Table A2 and Table A3 in Appendix B present the corresponding statistical analysis results.
Table 3.
ASES Total Score data at baseline and key outcomes at W6 and W12.
At baseline, ASES total scores were comparable between groups. Both rESWT and PTM interventions led to progressive improvements at W6 and W12. However, gains were consistently greater in the rESWT group.
By W6, the mean ASES total score had increased from approximately 51 to 68 in the rESWT group, compared with an increase from 51 to 64 in the PTM group. At W12, scores further improved to 82 in the rESWT group and 76 in the PTM group. These changes represent average improvements of about 31 points with rESWT and 26 points with PTMs, both exceeding the MCID for nonoperative treatment of rotator cuff disease [43].
Mixed-effects modeling confirmed significant time-related improvement across both groups and a clear advantage for rESWT, with a steeper recovery trajectory and higher final ASES total scores. Within each group, scores improved steadily from baseline to W6 and continued to rise through W12, indicating sustained functional recovery.
Overall, both treatments enhanced the ASES total score, but rESWT yielded faster and more pronounced improvement, achieving clinically meaningful benefits that were maintained throughout follow-up. The study achieved statistical power of 65.7% at W6 and 92.8% at W12 for detecting this difference (two-sided 95% CI). Consequently, the results led to the rejection of both null hypotheses.
3.3. Secondary Outcomes—Pain, Patient Satisfaction with Shoulder Pain and Function, and Shoulder Range of Motion
3.3.1. Pain and Patient Satisfaction with Shoulder Pain and Function
Table 4 summarizes the VAS Pain Score and Patient Satisfaction with Shoulder Pain and Function data at baseline and key outcomes at W6 and W12, while Table A4, Table A5, Table A6 and Table A7 in Appendix B present the corresponding statistical analysis results.
Table 4.
VAS Pain Score and Patient Satisfaction with Shoulder Pain and Function data at baseline and key outcomes at W6 and W12.
At baseline, pain intensity and satisfaction levels were similar between the two groups. Both treatments led to clear pain reduction and higher satisfaction over time, but the improvements were consistently greater in the rESWT group.
In the rESWT group, mean VAS pain scores decreased from 5.2 at baseline to 3.0 at W6 and 1.0 at W12, while the PTM group showed smaller reductions to 3.5 and 1.7, respectively. These changes represent average improvements of about 4.2 points with rESWT and 3.5 points with PTMs, both exceeding the MCID of 1.4 for nonoperative treatment of rotator cuff disease [43].
Patient satisfaction with shoulder pain and function rose from about 4.4 at baseline to 6.7 at W6 and 8.4 at W12 with rESWT, compared with increases to 6.0 and 7.6 after PTMs. To date, no MCID has been established for patient satisfaction with shoulder pain and function in the context of nonoperative management of rotator cuff disease.
Mixed-effects modeling indicated that both interventions produced substantial time-dependent improvement, with rESWT demonstrating a steeper and more pronounced trajectory for both pain relief and satisfaction. Within-group comparisons showed steady progress from baseline through W12, confirming sustained benefit in each group.
Overall, both therapies effectively reduced pain and improved patient satisfaction with shoulder pain and function, but rESWT provided faster and greater relief and higher overall satisfaction by the end of follow-up.
3.3.2. Shoulder Range of Motion
Table 5 summarizes the Shoulder ROM data at baseline and key outcomes at W6 and W12, while Table A8, Table A9, Table A10, Table A11, Table A12, Table A13, Table A14, Table A15, Table A16, Table A17, Table A18, Table A19, Table A20, Table A21, Table A22 and Table A23 in Appendix B present the corresponding statistical analysis results.
Table 5.
Shoulder ROM data [degrees] at baseline and key outcomes at W6 and W12.
At baseline, all active and passive shoulder ROM measures were comparable between groups. Both treatments produced significant improvements in shoulder mobility over time, but rESWT consistently resulted in greater and faster gains across most movements.
By W6, the rESWT group showed larger increases in active and passive abduction and flexion, with further progression through W12. Mean active abduction rose from about 99 degrees to 132 degrees at W6 and 158 degrees at W12 with rESWT, compared with 98 degrees to 120 degrees and 143 degrees in the PTM group. Similar patterns were observed for flexion and external rotation, where rESWT maintained a clear advantage. Internal rotation improved in both groups, though differences were smaller. An MCID for shoulder ROM measures following nonoperative treatment of rotator cuff disease has not been established in the literature.
Mixed-effects modeling confirmed a marked effect of time in both interventions and an overall superior recovery pattern with rESWT. Improvements progressed continuously from baseline to W12, indicating sustained mobility restoration.
In summary, both treatments enhanced shoulder ROM, but rESWT achieved greater and more rapid recovery, particularly in abduction, flexion and external rotation, aligning with its superior functional and pain outcomes.
3.4. Structural Ultrasound Outcomes—Supraspinatus Tendon Thickness and Acromiohumeral Distance
3.4.1. Supraspinatus Tendon Thickness
Figure 4 presents representative ultrasound images of the ST of a patient from the rESWT group at BL, W6 and W12.
Figure 4.
Representative ultrasound images of the supraspinatus tendon (ST) of a patient in the rESWT group at baseline (BL), 6 weeks (W6) and 12 weeks (W12) post-baseline. ST thickness measurements are indicated by vertical lines (5.7 mm at BL, 5.1 mm at W6 and 5.1 mm at W12). All patient-identifying information has been removed to protect privacy.
Table 6 summarizes all ST Thickness data at baseline and key outcomes at W6 and W12, while Table A24 and Table A25 in Appendix B present the corresponding statistical analysis results.
Table 6.
Supraspinatus Tendon Thickness data [mm] at baseline and key outcomes at W6 and W12.
At baseline, ST thickness was comparable between groups on both the affected and contralateral shoulders. Over the 12-week follow-up, both treatments produced measurable changes, but the pattern differed markedly between groups.
In the rESWT group, the affected-side ST showed a gradual decrease in mean thickness from approximately 5.6 mm at baseline to 5.5 mm at W6 and 5.4 mm at W12, while the contralateral, unaffected side remained stable. In contrast, the PTM group exhibited minimal or no change across time on either side. To date, no MCID has been established for ST thickness in the context of nonoperative management of rotator cuff disease.
Mixed-effects modeling confirmed that only participants receiving rESWT experienced a meaningful reduction in ST thickness, whereas ST thickness remained essentially unchanged in the PTM group.
Between-group comparisons further supported this finding, showing that the difference in ST thickness reduction between the affected and contralateral sides was greater after rESWT than after PTMs at both follow-up points. The continuous narrowing of the tendon in the rESWT group suggests a trend toward normalization of tendon morphology and possible resolution of degenerative swelling.
Taken together, these results indicate that rESWT not only improved clinical symptoms but was also associated with measurable structural remodeling of the ST, an effect not observed with the multimodal PTM program.
3.4.2. Acromiohumeral Distance
Figure 5 presents representative ultrasound images of the shoulder of a patient from the rESWT group at BL, W6 and W12, illustrating changes in AHD.
Figure 5.
Representative ultrasound images of the shoulder of a patient from the rESWT group at baseline (BL), 6 weeks (W6) and 12 weeks (W12) post-baseline, illustrating AHD measurements indicated by vertical lines (10.3 mm at BL, 10.9 mm at W6 and 11.0 mm at W12). All patient-identifying information has been removed to protect privacy.
Table 7 summarizes the Acromiohumeral Distance data at baseline and key outcomes at W6 and W12, while Table A26 and Table A27 in Appendix B present the corresponding statistical analysis results.
Table 7.
Acromiohumeral Distance data [mm] at baseline, as well as corresponding key outcomes at W6 and W12.
At baseline, the AHD was similar between groups, indicating comparable initial shoulder structure. Over the 12-week period, both groups showed minor changes, but only the rESWT group demonstrated a consistent and measurable increase.
In the rESWT group, mean AHD rose from 10.8 mm at baseline to 11.0 mm at W6 and 11.1 mm at W12, whereas values in the PTM group remained essentially unchanged throughout follow-up. An MCID for AHD measures following nonoperative treatment of rotator cuff disease has not been established in the literature.
Mixed-effects modeling confirmed a clear time-related increase in AHD after rESWT, with no corresponding trend in the PTM group.
These findings suggest that rESWT may promote subtle structural improvements within the subacromial space, potentially reflecting reduced tendon impingement and improved shoulder mechanics.
3.5. Safety and Adverse Events
No serious or unexpected adverse events were reported. Minor transient local discomfort (mild erythema or soreness) occurred in three rESWT participants and resolved spontaneously within 24 h. No participant discontinued treatment due to adverse effects.
4. Discussion
In this RCT, rESWT provided superior pain relief, functional improvement, structural restoration and time efficiency compared with a multimodal PTM program in adults with NT-RCTT. Both interventions produced significant clinical benefits, but rESWT consistently yielded greater and faster improvements in ASES total scores, pain reduction, patient satisfaction and shoulder ROM, along with measurable sonographic changes—namely, reduced ST thickness and increased AHD. These results reinforce rESWT as an effective and well-tolerated conservative therapy for partial rotator cuff injury.
The mean ASES improvement in the rESWT group exceeded the MCID [35] by more than twofold at W12, confirming both statistical and clinical significance. Pain intensity decreased by approximately 80% from baseline, and satisfaction ratings rose by nearly 90% during the same period, indicating that patients experienced rapid and meaningful relief. Additionally, shoulder ROM improved across all planes of motion, with especially pronounced gains in abduction and flexion. These functional enhancements were supported by sonographic evidence of structural recovery—ST thickness reduction and subacromial spacing increase—suggesting that rESWT not only alleviates symptoms but may also promote biological tendon remodeling. Importantly, these benefits were achieved through only six short treatment sessions, totaling roughly 30 min of contact time, compared with approximately 1350 min for the multimodal PTM program, highlighting the remarkable time efficiency of rESWT for both patients and clinicians.
The present findings align with and extend the existing literature on the therapeutic value of rESWT for shoulder tendinopathies. Several studies have confirmed the safety and efficacy of rESWT in managing calcific and non-calcific shoulder disorders, including subacromial impingement and rotator cuff tendinopathy [20,21,22]. However, these trials left the relative efficacy of rESWT versus multimodal PTMs unclear. By directly comparing rESWT with a multimodal PTM program comprising interferential current therapy, shortwave diathermy and magnetothermal therapy—three commonly applied modalities in clinical rehabilitation [6,7,8,12,23,24,25,26,27]—this study provides robust comparative evidence that rESWT delivers superior short-term outcomes in pain, function and tendon morphology.
The magnitude and consistency of functional improvement observed after rESWT are particularly notable. Mean ASES total scores increased by approximately 31 points in the rESWT group compared with 26 points in the PTM group, with both groups surpassing the MCID [43] but with significantly larger gains in the rESWT group. These improvements were accompanied by greater reductions in VAS pain and higher patient satisfaction. The improvement trajectory suggests that the effects of rESWT continue to progress beyond the active treatment phase, as indicated by further gains between W6 and W12. This sustained recovery pattern supports the hypothesis that rESWT initiates biological and neuromuscular processes conducive to long-term tendon healing rather than merely producing transient analgesia [17,47,48].
The ultrasonographic findings of this study provide valuable insight into the mechanisms underlying the observed clinical outcomes. rESWT was associated with a significant reduction in ST thickness and a measurable increase in AHD, whereas the PTM group exhibited no notable structural changes. The reduction in tendon thickness following rESWT likely reflects decreased intratendinous edema and improved collagen alignment, consistent with tissue normalization processes demonstrated in experimental and histological studies. Specifically, animal and in vitro research has shown that both rESWT and fESWT facilitate the resolution of inflammatory infiltration and edema, enhance tenocyte proliferation and type I collagen synthesis, and restore a well-organized collagen network [47,48,49,50,51]. These structural adaptations correspond with imaging findings from human studies, which have reported reduced tendon thickness and improved echotexture after rESWT [52,53] (Notably, in [53], a combined rESWT/fESWT protocol was described; however, the device used—BTL 5000 SWT Power; BTL, Prague, Czech Republic—generates only rESWs). Collectively, these observations suggest that post-treatment reductions in tendon size reflect normalization of tendon morphology and extracellular matrix organization (c.f. [54,55,56]).
Furthermore, the observed increase in AHD may indicate reduced mechanical impingement of the ST beneath the acromion, as greater AHD is associated with lower subacromial pressure [57], whereas reduced AHD correlates with ST pathology and subacromial impingement [58,59]. Accordingly, the greater AHD observed in this study may relate to the improvements in shoulder abduction and flexion range of motion. Together, these findings suggest that rESWT not only alleviates pain and enhances shoulder mobility but also promotes tendon remodeling and subacromial decompression, thereby contributing to improved joint biomechanics.
Several mechanisms may explain the therapeutic effects of rESWT on tendinopathies (summarized in [17]). In vivo studies using the same rESWT device as in the present study showed a rapid, transient upregulation of pro-regenerative inflammatory mediators, particularly IL-6 and IL-8, together with increased expression of pro-forms of MMP-2 and MMP-9 in healthy and tendinopathic human Achilles tendons [47]. These factors regulate extracellular matrix turnover and angiogenesis, suggesting that rESWT induces a controlled catabolic–anabolic response that supports tendon remodeling [47]. In addition, rESWT-induced mechanical stress activates pathways involved in connective tissue repair, including NF-κB modulation, fibroblast proliferation, improved collagen organization and increased vascularization in animal and cell models (reviewed in [17]). These effects align with the structural and clinical improvements observed in the present study. Furthermore, fESWT has been shown to reduce substance P levels, thereby attenuating pain and neurogenic inflammation [60], and there is no evidence that this effect would not also occur after rESWT.
Although direct histological evidence in human ST tissue remains limited, the parallel clinical and ultrasonographic improvements demonstrated here are well aligned with these mechanistic insights.
From a clinical perspective, rESWT offers several practical advantages. It is non-invasive, well-tolerated and highly time-efficient. Its short treatment duration can enhance patient compliance and reduce healthcare resource utilization, making it an attractive alternative or adjunct to conventional physiotherapy in busy rehabilitation settings. Moreover, the absence of serious adverse events and the rapid resolution of mild local reactions confirm its excellent safety profile.
The present findings are consistent with earlier reports indicating that rESWT can enhance the effects of exercise-based rehabilitation. In a recent RCT on patients with unilateral shoulder impingement syndrome [61], exercise-based rehabilitation (EBR) consisting of shoulder mobilizations, scapular muscle exercises and rotator cuff strengthening was compared with EBR combined with a single corticosteroid injection and with EBR combined with rESWT (three sessions, one per week) using the same rESWT device as in the present study. The diagnosis of shoulder impingement was made clinically, based on a stage II Neer classification and at least two positive provocative tests (Neer, painful arc, Hawkins–Kennedy, or external rotation), without imaging confirmation. At 12 weeks post-baseline, the rESWT group achieved greater improvements in pain, disability and shoulder ROM than either comparator group, with no major adverse effects reported.
In both [61] and the current trial, the subacromial space was assessed as a structural outcome. However, no significant change in this parameter was detected in [61], which may be related to the shorter treatment course of only three rESWT sessions. In contrast, the present study—conducted in patients with NT-RCTT—demonstrated a measurable increase in AHD alongside marked clinical improvement. Despite differences in diagnostic criteria and inclusion parameters, both studies clearly showed that adding rESWT results in superior outcomes compared with exercise-based therapy alone. The present findings extend those of [61] by providing evidence of concurrent structural tendon recovery, supporting the reproducibility of rESWT’s therapeutic effects across related shoulder disorders.
Further evidence for the synergistic potential of rESWT with exercise comes from a study on chronic midportion Achilles tendinopathy, in which eccentric loading combined with rESWT—again using the same device—produced greater pain and function improvements than eccentric loading alone after four months [62]. Although participants in both groups of the present trial performed standardized home exercises, the superior outcomes achieved with rESWT suggest complementary biological and functional effects between shock wave–induced tissue remodeling and exercise-driven adaptation. Future studies should explore optimized combined protocols—such as rESWT paired with targeted strengthening or proprioceptive training—to maximize long-term recovery and minimize recurrence.
This study possesses several notable strengths. It employed a prospective randomized controlled design with blinded outcome assessment and strict adherence to CONSORT guidelines [29]. Both interventions were protocolized and delivered by experienced therapists, ensuring consistency and reproducibility. The inclusion of ultrasound-based structural measures adds objective evidence of morphological change, an element often lacking in prior ESWT studies. Treatment adherence was excellent, and no participant was lost to follow-up, minimizing attrition bias.
Nevertheless, certain methodological limitations must be acknowledged. First, treatment frequency and total exposure time differed markedly between groups. Although this reflects real-world practice—where multimodal PTM programs are typically more time-intensive—it introduces a potential performance bias related to treatment duration and therapist contact. Second, participant and therapist blinding was not feasible due to the nature of the interventions, which may have influenced subjective outcomes such as pain and satisfaction. Third, although the mITT approach strengthened internal validity by including only participants who initiated treatment, it excluded a small number of randomized subjects, introducing a minimal risk of post-randomization bias.
Additionally, while Bonferroni correction was applied to control for multiple comparisons, the analysis of numerous secondary endpoints increased the risk of type I error. The relatively short 12-week follow-up period limits the assessment of long-term durability, and MRI confirmation of tendon changes was not performed, restricting structural validation to ultrasound findings. Moreover, the absence of a sham or placebo control group means that nonspecific effects related to rESWT cannot be entirely excluded.
Despite these limitations, the present trial provides compelling short-term evidence that rESWT is more effective and efficient than a conventional multimodal PTM program for NT-RCTT. Future multicenter RCTs should include sham or time-matched comparator arms to further reduce bias and strengthen causal inference. Longer follow-up periods are necessary to determine the persistence of both clinical and structural benefits. Integration of MRI-based morphologic assessments would enhance the validity of imaging outcomes, and the addition of biochemical or elastographic markers could elucidate underlying repair mechanisms. Future studies should also explore the role of rESWT as part of a multimodal rehabilitation strategy combining physical, biological and exercise-based interventions.
5. Conclusions
This study demonstrates that rESWT may be associated with faster, greater and more comprehensive recovery than a multimodal PTM program in patients with NT-RCTT. The observed improvements in pain, function, ROM and tendon morphology, together with minimal treatment time and good tolerability, indicate that rESWT could represent an efficient and patient-friendly conservative treatment option for partial rotator cuff injury. While these findings support the potential clinical value of rESWT, they should be interpreted as preliminary evidence that warrants further investigation, particularly with respect to long-term outcomes and the underlying biological mechanisms.
Author Contributions
Conceptualization, Z.W., L.T. and Y.M.; methodology, Z.W., L.T. and Y.M.; validation, Z.W., L.T. and Y.M.; formal (statistical) analysis, C.S.; investigation, N.W., L.H., J.Z. and Y.Z.; resources, Z.W., L.T. and Y.M.; data curation, C.S.; writing—original draft preparation, C.S.; writing—review and editing, Z.W., L.T., K.C. and Y.M.; supervision, Z.W., L.T. and Y.M.; project administration, Z.W., L.T. and Y.M. All authors have read and agreed to the published version of the manuscript.
Funding
This research was supported by Shanghai Sixth People’s Hospital (Grant No. ynhg202320). The funding source had no involvement in study design, data collection, analysis, interpretation, or manuscript preparation.
Institutional Review Board Statement
The study was conducted in accordance with the Declaration of Helsinki, and approved by the Ethics Committee of Shanghai Sixth People’s Hospital, Shanghai Jiao Tong University School of Medicine, reference 2023-132-(1) (date of approval 13 October 2023).
Informed Consent Statement
Informed consent was obtained from all subjects involved in the study.
Data Availability Statement
The anonymized datasets generated and analyzed during this study are available from the corresponding author upon reasonable request and in compliance with institutional and data protection regulations.
Acknowledgments
The authors thank the clinical and imaging teams of the Department of Rehabilitation Medicine, Shanghai Sixth People’s Hospital, for their assistance with participant assessment and follow-up.
Conflicts of Interest
C.S. served until 12/2017 and serves since 07/2024 as consultant for Electro Medical Systems (Nyon, Switzerland), the inventor, manufacturer and distributor of the rESWT device Swiss DolorClast that was used in this study. However, Electro Medical Systems did not have any role in data collection and analysis, interpretation of the data, decision to publish and writing the manuscript. The other authors declare no conflicts of interest.
Abbreviations
The following abbreviations are used in this manuscript:
| NT-RCTT | Non-traumatic rotator cuff tendinopathy/tear |
| rESWT | Radial extracorporeal shock wave therapy |
| PTMs | Physical therapy modalities |
| ASES | American Shoulder and Elbow Surgeons |
| VAS | Visual analogue scale |
| RCT | Randomized controlled trial |
| ROM | Range of motion |
| ST | Supraspinatus tendon |
| AHD | Acromiohumeral distance |
| MRI | Magnetic resonance imaging |
| AAOS | American Academy of Orthopaedic Surgeons |
| ESWT | Extracorporeal shock wave therapy |
| fESWT | Focused extracorporeal shock wave therapy |
| BMI | Body mass index |
| ChiCTR | Chinese Clinical Trial Register |
| mITT | modified Intention-To-Treat |
| rESWs | Radial extracorporeal shock waves |
| EFD+ | Positive energy flux density |
| PJM | Passive joint motion |
| MCID | Minimal clinically important difference |
| BL | Baseline |
| W6 | Week 6 post-baseline |
| W12 | Week 12 post-baseline |
| REML | Restricted maximum likelihood (estimation) |
| SMDs | Standardized mean differences |
| CONSORT | Consolidated Standards of Reporting Trials |
| Min | Minimum |
| 25% | 25% percentile |
| 75% | 75% percentile |
| SD | Standard deviation |
| 95% CI of diff. | 95% confidence interval of mean difference |
| a | Affected side |
| c | Contralateral (unaffected) side |
| DF | Degrees of freedom |
| SE | Standard error |
| α | Significance level |
| IL | Interleukin |
| MMP | Matrix metalloproteinase |
| NF-κB | Nuclear factor kappa-B |
| EBR | Exercise-based rehabilitation |
Appendix A
Table A1.
Additional details on studies of non-calcific rotator cuff tendinopathy listed in the PEDro database [32] as of 14 December 2025.
Table A1.
Additional details on studies of non-calcific rotator cuff tendinopathy listed in the PEDro database [32] as of 14 December 2025.
| R | Device | Manufacturer | One-Sentence Summary of the Study |
|---|---|---|---|
| [33] | Minilith SL1 | Storz Medical (Tägerwillen, Switzerland) | fESWT was compared with x-ray stimulation therapy and showed no clinically relevant benefit for non-calcific supraspinatus tendinopathy. |
| [34] | Minilith SL1 | Storz Medical | fESWT showed no advantage over sham treatment in patients with non-calcific supraspinatus tendinopathy. |
| [35] | Sonocur Plus | Siemens (Erlangen, Germany) | fESWT for non-calcific tendinopathy of the rotator cuff produced no greater benefit than sham treatment, with improvements in both groups likely due to a significant placebo effect. |
| [36] | Minilith SL1 | Storz Medical | fESWT was compared with low-energy fESWT, showing similar clinical outcomes in non-calcific rotator cuff tendinopathy. |
| [37] | Modulith SLK | Storz Medical | fESWT demonstrated superior short-term clinical benefits compared with placebo for treating non-calcific rotator cuff tendinopathy. |
| [38] | Modulith SLK | Storz Medical | fESWT produced significant short-term improvements in pain and shoulder function that were comparable to those achieved with hyaluronic acid injections in patients with non-calcific rotator cuff tendinopathy. |
| [39] | Masterpuls 100 | Storz Medical | rESWT was compared with corticosteroid injection for non-calcific rotator cuff tendinopathy, demonstrating similar short-term clinical effectiveness. |
Abbreviations: fESWT, focused extracorporeal shock wave therapy; rESWT, radial extracorporeal shock wave therapy.
Appendix B
Abbreviations in all tables in Appendix B: CI, confidence interval; DF, degree of freedom; diff., difference; SD, standard deviation; SE, standard error.
Table A2.
Summary of mixed-effects model results for ASES Total Score outcomes.
Table A2.
Summary of mixed-effects model results for ASES Total Score outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.809, 104.9) = 915.9 | 0.9045 | |
| Treatment | 0.02 | F (1, 58) = 5.751 | ||
| Time × Treatment | <0.001 | F (1.809, 104.9) = 7.884 | 0.9045 | |
| Random effects | SD | Variance | ||
| Subject | 4.871 | 23.72 | ||
| Residual | 3.59 | 12.89 | ||
| Was the matching effective? | Chi-square, DF | 72.91, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 66.72 | ||
| Predicted mean of PTMs | 63.44 | |||
| Difference between predicted means | 3.278 | |||
| SE of difference | 1.367 | |||
| 95% CI of difference | 0.5419 to 6.014 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A3.
Summary of the results from Bonferroni’s multiple comparison tests for ASES Total Score outcomes.
Table A3.
Summary of the results from Bonferroni’s multiple comparison tests for ASES Total Score outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.4 | −2.399 to 3.199 | 0.776 | |||
| W6 | rESWT vs. PTMs | 3.967 | 0.607 to 7.327 | 0.021 | |||
| W12 | rESWT vs. PTMs | 5.467 | 2.265 to 8.668 | 0.001 | |||
| rESWT | BL vs. W6 | −16.7 | −19.12 to −14.28 | <0.001 | |||
| BL vs. W12 | −30.57 | −33.15 to −27.98 | <0.001 | ||||
| W6 vs. W12 | −13.87 | −15.93 to −11.80 | <0.001 | ||||
| PTMs | BL vs. W6 | −13.13 | −15.56 to −10.71 | <0.001 | |||
| BL vs. W12 | −25.5 | −28.18 to −22.82 | <0.001 | ||||
| W6 vs. W12 | −12.37 | −14.22 to −10.51 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 50.97 | 50.57 | 0.4 | 1.398 | 0.2861 | 57.81 |
| W6 | rESWT vs. PTMs | 67.67 | 63.7 | 3.967 | 1.678 | 2.363 | 57.93 |
| W12 | rESWT vs. PTMs | 81.53 | 76.07 | 5.467 | 1.597 | 3.423 | 54.66 |
| rESWT | BL vs. W6 | 50.97 | 67.67 | −16.7 | 0.952 | 17.54 | 29 |
| BL vs. W12 | 50.97 | 81.53 | −30.57 | 1.018 | 30.03 | 29 | |
| W6 vs. W12 | 67.67 | 81.53 | −13.87 | 0.813 | 17.05 | 29 | |
| PTMs | BL vs. W6 | 50.57 | 63.7 | −13.13 | 0.954 | 13.77 | 29 |
| BL vs. W12 | 50.57 | 76.07 | −25.5 | 1.053 | 24.21 | 29 | |
| W6 vs. W12 | 63.7 | 76.07 | −12.37 | 0.730 | 16.95 | 29 | |
Table A4.
Summary of mixed-effects model results for VAS Pain Score outcomes.
Table A4.
Summary of mixed-effects model results for VAS Pain Score outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.777, 103.1) = 746.0 | 0.8887 | |
| Treatment | 0.019 | F (1, 58) = 5.788 | ||
| Time × Treatment | 0.003 | F (1.777, 103.1) = 6.728 | 0.8887 | |
| Random effects | SD | Variance | ||
| Subject | 0.5201 | 0.2705 | ||
| Residual | 0.546 | 0.2981 | ||
| Was the matching effective? | Chi-square, DF | 36.13, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 3.089 | ||
| Predicted mean of PTMs | 3.467 | |||
| Difference between predicted means | −0.3778 | |||
| SE of difference | 0.157 | |||
| 95% CI of difference | −0.6921 to −0.06346 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A5.
Summary of the results from Bonferroni’s multiple comparison tests for VAS Pain Score outcomes.
Table A5.
Summary of the results from Bonferroni’s multiple comparison tests for VAS Pain Score outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.03333 | −0.363 to 0.430 | 0.867 | |||
| W6 | rESWT vs. PTMs | −0.5 | −0.881 to −0.119 | 0.011 | |||
| W12 | rESWT vs. PTMs | −0.6667 | −1.058 to −0.275 | 0.001 | |||
| rESWT | BL vs. W6 | 2.233 | 1.918 to 2.548 | <0.001 | |||
| BL vs. W12 | 4.2 | 3.807 to 4.593 | <0.001 | ||||
| W6 vs. W12 | 1.967 | 1.681 to 2.252 | <0.001 | ||||
| PTMs | BL vs. W6 | 1.7 | 1.398 to 2.002 | <0.001 | |||
| BL vs. W12 | 3.5 | 3.065 to 3.935 | <0.001 | ||||
| W6 vs. W12 | 1.8 | 1.407 to 2.193 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 5.233 | 5.2 | 0.033 | 0.198 | 0.1682 | 57.42 |
| W6 | rESWT vs. PTMs | 3 | 3.5 | −0.5 | 0.190 | 2.628 | 57.99 |
| W12 | rESWT vs. PTMs | 1.033 | 1.7 | −0.667 | 0.196 | 3.409 | 57.42 |
| rESWT | BL vs. W6 | 5.233 | 3 | 2.233 | 0.124 | 18.02 | 29 |
| BL vs. W12 | 5.233 | 1.033 | 4.2 | 0.155 | 27.16 | 29 | |
| W6 vs. W12 | 3 | 1.033 | 1.967 | 0.112 | 17.52 | 29 | |
| PTMs | BL vs. W6 | 5.2 | 3.5 | 1.7 | 0.119 | 14.3 | 29 |
| BL vs. W12 | 5.2 | 1.7 | 3.5 | 0.171 | 20.44 | 29 | |
| W6 vs. W12 | 3.5 | 1.7 | 1.8 | 0.155 | 11.64 | 29 | |
Table A6.
Summary of mixed-effects model results for Patient Satisfaction with Shoulder Pain and Function outcomes.
Table A6.
Summary of mixed-effects model results for Patient Satisfaction with Shoulder Pain and Function outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.759, 102.0) = 578.5 | 0.8795 | |
| Treatment | 0.002 | F (1, 58) = 10.58 | ||
| Time × Treatment | 0.001 | F (1.759, 102.0) = 7.567 | 0.8795 | |
| Random effects | SD | Variance | ||
| Subject | 0.4839 | 0.2341 | ||
| Residual | 0.5732 | 0.3285 | ||
| Was the matching effective? | Chi-square, DF | 27.29, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 6.492 | ||
| Predicted mean of PTMs | 6 | |||
| Difference between predicted means | 0.4922 | |||
| SE of difference | 0.1514 | |||
| 95% CI of difference | 0.1893 to 0.7952 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A7.
Summary of the results from Bonferroni’s multiple comparison tests for Patient Satisfaction with Shoulder Pain and Function outcomes.
Table A7.
Summary of the results from Bonferroni’s multiple comparison tests for Patient Satisfaction with Shoulder Pain and Function outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.03333 | −0.399 to 0.466 | 0.878 | |||
| W6 | rESWT vs. PTMs | 0.6333 | 0.252 to 1.015 | 0.002 | |||
| W12 | rESWT vs. PTMs | 0.81 | 0.466 to 1.154 | <0.001 | |||
| rESWT | BL vs. W6 | −2.233 | −2.667 to −1.799 | <0.001 | |||
| BL vs. W12 | −3.943 | −4.382 to −3.505 | <0.001 | ||||
| W6 vs. W12 | −1.71 | −2.038 to −1.382 | <0.001 | ||||
| PTMs | BL vs. W6 | −1.633 | −1.967 to −1.300 | <0.001 | |||
| BL vs. W12 | −3.167 | −3.581 to −2.752 | <0.001 | ||||
| W6 vs. W12 | −1.533 | −1.812 to −1.255 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 4.433 | 4.4 | 0.0333 | 0.2159 | 0.1544 | 57.88 |
| W6 | rESWT vs. PTMs | 6.667 | 6.033 | 0.633 | 0.1907 | 3.321 | 57.69 |
| W12 | rESWT vs. PTMs | 8.377 | 7.567 | 0.81 | 0.1719 | 4.713 | 55.86 |
| rESWT | BL vs. W6 | 4.433 | 6.667 | −2.233 | 0.1708 | 13.08 | 29 |
| BL vs. W12 | 4.433 | 8.377 | −3.943 | 0.1725 | 22.86 | 29 | |
| W6 vs. W12 | 6.667 | 8.377 | −1.71 | 0.129 | 13.26 | 29 | |
| PTMs | BL vs. W6 | 4.4 | 6.033 | −1.633 | 0.1312 | 12.45 | 29 |
| BL vs. W12 | 4.4 | 7.567 | −3.167 | 0.1632 | 19.41 | 29 | |
| W6 vs. W12 | 6.033 | 7.567 | −1.533 | 0.1097 | 13.98 | 29 | |
Table A8.
Summary of mixed-effects model results for ROM—Active Abduction outcomes.
Table A8.
Summary of mixed-effects model results for ROM—Active Abduction outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.617, 93.76) = 815.3 | 0.8083 | |
| Treatment | 0.028 | F (1, 58) = 5.069 | ||
| Time × Treatment | <0.001 | F (1.617, 93.76) = 15.01 | 0.8083 | |
| Random effects | SD | Variance | ||
| Subject | 15.85 | 251.3 | ||
| Residual | 7.08 | 50.12 | ||
| Was the matching effective? | Chi-square, DF | 151.2, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 129.8 | ||
| Predicted mean of PTMs | 120.3 | |||
| Difference between predicted means | 9.516 | |||
| SE of difference | 4.227 | |||
| 95% CI of difference | 1.055 to 17.98 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A9.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Abduction outcomes.
Table A9.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Abduction outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 1.446 | −7.772 to 10.66 | 0.755 | |||
| W6 | rESWT vs. PTMs | 12.4 | 2.706 to 22.09 | 0.013 | |||
| W12 | rESWT vs. PTMs | 14.7 | 6.785 to 22.62 | <0.001 | |||
| rESWT | BL vs. W6 | −33.14 | −37.15 to −29.14 | <0.001 | |||
| BL vs. W12 | −58.79 | −64.94 to −52.64 | <0.001 | ||||
| W6 vs. W12 | −25.65 | −31.01 to −20.28 | <0.001 | ||||
| PTMs | BL vs. W6 | −22.19 | −25.11 to −19.27 | <0.001 | |||
| BL vs. W12 | −45.54 | −50.34 to −40.73 | <0.001 | ||||
| W6 vs. W12 | −23.35 | −27.24 to −19.45 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 99.13 | 97.68 | 1.446 | 4.605 | 0.314 | 57.85 |
| W6 | rESWT vs. PTMs | 132.3 | 119.9 | 12.4 | 4.843 | 2.56 | 57.93 |
| W12 | rESWT vs. PTMs | 157.9 | 143.2 | 14.7 | 3.952 | 3.72 | 56.23 |
| rESWT | BL vs. W6 | 99.13 | 132.3 | −33.14 | 1.575 | 21.04 | 29 |
| BL vs. W12 | 99.13 | 157.9 | −58.79 | 2.422 | 24.28 | 29 | |
| W6 vs. W12 | 132.3 | 157.9 | −25.65 | 2.111 | 12.15 | 29 | |
| PTMs | BL vs. W6 | 97.68 | 119.9 | −22.19 | 1.15 | 19.3 | 29 |
| BL vs. W12 | 97.68 | 143.2 | −45.54 | 1.89 | 24.09 | 29 | |
| W6 vs. W12 | 119.9 | 143.2 | −23.35 | 1.534 | 15.22 | 29 | |
Table A10.
Summary of mixed-effects model results for ROM—Passive Abduction outcomes.
Table A10.
Summary of mixed-effects model results for ROM—Passive Abduction outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.913, 110.9) = 491.1 | 0.9564 | |
| Treatment | 0.014 | F (1, 58) = 6.462 | ||
| Time × Treatment | <0.001 | F (1.913, 110.9) = 11.97 | 0.9564 | |
| Random effects | SD | Variance | ||
| Subject | 11.94 | 142.5 | ||
| Residual | 8.69 | 75.51 | ||
| Was the matching effective? | Chi-square, DF | 74.50, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 143.5 | ||
| Predicted mean of PTMs | 135 | |||
| Difference between predicted means | 8.499 | |||
| SE of difference | 3.343 | |||
| 95% CI of difference | 1.807 to 15.19 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A11.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Abduction outcomes.
Table A11.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Abduction outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | −0.2533 | −8.640 to 8.133 | 0.952 | |||
| W6 | rESWT vs. PTMs | 11.2 | 2.886 to 19.52 | 0.009 | |||
| W12 | rESWT vs. PTMs | 14.55 | 8.584 to 20.51 | <0.001 | |||
| rESWT | BL vs. W6 | −32.26 | −36.79 to −27.73 | <0.001 | |||
| BL vs. W12 | −57.08 | −63.78 to −50.38 | <0.001 | ||||
| W6 vs. W12 | −24.82 | −30.35 to −19.29 | <0.001 | ||||
| PTMs | BL vs. W6 | −20.8 | −26.36 to −15.24 | <0.001 | |||
| BL vs. W12 | −42.28 | −47.72 to −36.84 | <0.001 | ||||
| W6 vs. W12 | −21.48 | −27.68 to −15.27 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 113.7 | 113.9 | −0.253 | 4.189 | 0.061 | 57.71 |
| W6 | rESWT vs. PTMs | 146 | 134.7 | 11.2 | 4.155 | 2.697 | 57.46 |
| W12 | rESWT vs. PTMs | 170.8 | 156.2 | 14.55 | 2.965 | 4.906 | 47.91 |
| rESWT | BL vs. W6 | 113.7 | 146 | −32.26 | 1.784 | 18.08 | 29 |
| BL vs. W12 | 113.7 | 170.8 | −57.08 | 2.637 | 21.64 | 29 | |
| W6 vs. W12 | 146 | 170.8 | −24.82 | 2.175 | 11.41 | 29 | |
| PTMs | BL vs. W6 | 113.9 | 134.7 | −20.8 | 2.188 | 9.505 | 29 |
| BL vs. W12 | 113.9 | 156.2 | −42.28 | 2.14 | 19.76 | 29 | |
| W6 vs. W12 | 134.7 | 156.2 | −21.48 | 2.442 | 8.794 | 29 | |
Table A12.
Summary of mixed-effects model results for ROM—Active Flexion outcomes.
Table A12.
Summary of mixed-effects model results for ROM—Active Flexion outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.637, 94.95) = 293.9 | 0.8185 | |
| Treatment | 0.092 | F (1, 58) = 2.928 | ||
| Time × Treatment | 0.253 | F (1.637, 94.95) = 1.388 | 0.8185 | |
| Random effects | SD | Variance | ||
| Subject | 14.02 | 196.6 | ||
| Residual | 12.07 | 145.6 | ||
| Was the matching effective? | Chi-square, DF | 54.75, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 148.1 | ||
| Predicted mean of PTMs | 141.2 | |||
| Difference between predicted means | 6.916 | |||
| SE of difference | 4.042 | |||
| 95% CI of difference | −1.175 to 15.01 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A13.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Flexion outcomes.
Table A13.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Flexion outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 2.804 | −9.952 to 15.56 | 0.662 | |||
| W6 | rESWT vs. PTMs | 9.859 | 0.6124 to 19.10 | 0.037 | |||
| W12 | rESWT vs. PTMs | 8.087 | 2.938 to 13.24 | 0.003 | |||
| rESWT | BL vs. W6 | −36.77 | −45.23 to −28.31 | <0.001 | |||
| BL vs. W12 | −55.46 | −65.75 to −45.18 | <0.001 | ||||
| W6 vs. W12 | −18.69 | −24.98 to −12.40 | <0.001 | ||||
| PTMs | BL vs. W6 | −29.72 | −36.79 to −22.65 | <0.001 | |||
| BL vs. W12 | −50.18 | −58.69 to −41.67 | <0.001 | ||||
| W6 vs. W12 | −20.46 | −26.52 to −14.41 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 117.3 | 114.5 | 2.804 | 6.372 | 0.44 | 57.98 |
| W6 | rESWT vs. PTMs | 154.1 | 144.3 | 9.859 | 4.618 | 2.135 | 57.43 |
| W12 | rESWT vs. PTMs | 172.8 | 164.7 | 8.087 | 2.548 | 3.174 | 40.21 |
| rESWT | BL vs. W6 | 117.3 | 154.1 | −36.77 | 3.33 | 11.04 | 29 |
| BL vs. W12 | 117.3 | 172.8 | −55.46 | 4.048 | 13.7 | 29 | |
| W6 vs. W12 | 154.1 | 172.8 | −18.69 | 2.475 | 7.551 | 29 | |
| PTMs | BL vs. W6 | 114.5 | 144.3 | −29.72 | 2.782 | 10.68 | 29 |
| BL vs. W12 | 114.5 | 164.7 | −50.18 | 3.349 | 14.98 | 29 | |
| W6 vs. W12 | 144.3 | 164.7 | −20.46 | 2.383 | 8.588 | 29 | |
Table A14.
Summary of mixed-effects model results for ROM—Passive Flexion outcomes.
Table A14.
Summary of mixed-effects model results for ROM—Passive Flexion outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.458, 84.58) = 190.9 | 0.7292 | |
| Treatment | 0.127 | F (1, 58) = 2.395 | ||
| Time × Treatment | 0.155 | F (1.458, 84.58) = 1.985 | 0.7292 | |
| Random effects | SD | Variance | ||
| Subject | 11.32 | 128.2 | ||
| Residual | 11.74 | 137.7 | ||
| Was the matching effective? | Chi-square, DF | 37.18, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 158.7 | ||
| Predicted mean of PTMs | 153.5 | |||
| Difference between predicted means | 5.274 | |||
| SE of difference | 3.407 | |||
| 95% CI of difference | −1.547 to 12.09 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A15.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Flexion outcomes.
Table A15.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Flexion outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.4803 | −11.56 to 12.52 | 0.937 | |||
| W6 | rESWT vs. PTMs | 8.669 | 1.160 to 16.18 | 0.024 | |||
| W12 | rESWT vs. PTMs | 6.671 | 3.175 to 10.17 | <0.001 | |||
| rESWT | BL vs. W6 | −32.33 | −40.37 to −24.29 | <0.001 | |||
| BL vs. W12 | −43.98 | −54.39 to −33.58 | <0.001 | ||||
| W6 vs. W12 | −11.65 | −17.26 to −6.048 | <0.001 | ||||
| PTMs | BL vs. W6 | −24.14 | −31.26 to −17.02 | <0.001 | |||
| BL vs. W12 | −37.79 | −46.43 to −29.16 | <0.001 | ||||
| W6 vs. W12 | −13.65 | −18.78 to −8.526 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 133.3 | 132.8 | 0.4803 | 6.015 | 0.080 | 58 |
| W6 | rESWT vs. PTMs | 165.6 | 157 | 8.669 | 3.748 | 2.313 | 55.47 |
| W12 | rESWT vs. PTMs | 177.3 | 170.6 | 6.671 | 1.722 | 3.873 | 35.08 |
| rESWT | BL vs. W6 | 133.3 | 165.6 | −32.33 | 3.163 | 10.22 | 29 |
| BL vs. W12 | 133.3 | 177.3 | −43.98 | 4.094 | 10.74 | 29 | |
| W6 vs. W12 | 165.6 | 177.3 | −11.65 | 2.207 | 5.282 | 29 | |
| PTMs | BL vs. W6 | 132.8 | 157 | −24.14 | 2.801 | 8.617 | 29 |
| BL vs. W12 | 132.8 | 170.6 | −37.79 | 3.398 | 11.12 | 29 | |
| W6 vs. W12 | 157 | 170.6 | −13.65 | 2.017 | 6.767 | 29 | |
Table A16.
Summary of mixed-effects model results for ROM—Active External Rotation outcomes.
Table A16.
Summary of mixed-effects model results for ROM—Active External Rotation outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.786, 103.6) = 804.4 | 0.8931 | |
| Treatment | 0.069 | F (1, 58) = 3.424 | ||
| Time × Treatment | 0.007 | F (1.786, 103.6) = 5.570 | 0.8931 | |
| Random effects | SD | Variance | ||
| Subject | 7.57 | 57.31 | ||
| Residual | 4.507 | 20.31 | ||
| Was the matching effective? | Chi-square, DF | 102.9, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 62.98 | ||
| Predicted mean of PTMs | 59.15 | |||
| Difference between predicted means | 3.824 | |||
| SE of difference | 2.067 | |||
| 95% CI of difference | −0.3127 to 7.962 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A17.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active External Rotation outcomes.
Table A17.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active External Rotation outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.742 | −3.665 to 5.149 | 0.737 | |||
| W6 | rESWT vs. PTMs | 6.011 | 1.055 to 10.97 | 0.018 | |||
| W12 | rESWT vs. PTMs | 4.72 | 0.4499 to 8.991 | 0.031 | |||
| rESWT | BL vs. W6 | −21.91 | −24.35 to −19.46 | <0.001 | |||
| BL vs. W12 | −34.83 | −38.13 to −31.52 | <0.001 | ||||
| W6 vs. W12 | −12.92 | −15.75 to −10.09 | <0.001 | ||||
| PTMs | BL vs. W6 | −16.64 | −19.56 to −13.71 | <0.001 | |||
| BL vs. W12 | −30.85 | −34.40 to −27.30 | <0.001 | ||||
| W6 vs. W12 | −14.21 | −16.73 to −11.69 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 44.07 | 43.33 | 0.742 | 2.201 | 0.3371 | 57.7 |
| W6 | rESWT vs. PTMs | 65.97 | 59.96 | 6.011 | 2.476 | 2.428 | 57.86 |
| W12 | rESWT vs. PTMs | 78.89 | 74.17 | 4.72 | 2.133 | 2.213 | 57.21 |
| rESWT | BL vs. W6 | 44.07 | 65.97 | −21.91 | 0.963 | 22.74 | 29 |
| BL vs. W12 | 44.07 | 78.89 | −34.83 | 1.301 | 26.78 | 29 | |
| W6 vs. W12 | 65.97 | 78.89 | −12.92 | 1.114 | 11.6 | 29 | |
| PTMs | BL vs. W6 | 43.33 | 59.96 | −16.64 | 1.152 | 14.45 | 29 |
| BL vs. W12 | 43.33 | 74.17 | −30.85 | 1.398 | 22.07 | 29 | |
| W6 vs. W12 | 59.96 | 74.17 | −14.21 | 0.992 | 14.32 | 29 | |
Table A18.
Summary of mixed-effects model results for ROM—Passive External Rotation outcomes.
Table A18.
Summary of mixed-effects model results for ROM—Passive External Rotation outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.746, 101.3) = 480.9 | 0.8729 | |
| Treatment | 0.012 | F (1, 58) = 6.680 | ||
| Time × Treatment | 0.092 | F (1.746, 101.3) = 2.524 | 0.8729 | |
| Random effects | SD | Variance | ||
| Subject | 5.793 | 33.56 | ||
| Residual | 5.152 | 26.54 | ||
| Was the matching effective? | Chi-square, DF | 51.31, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 70.93 | ||
| Predicted mean of PTMs | 66.58 | |||
| Difference between predicted means | 4.346 | |||
| SE of difference | 1.681 | |||
| 95% CI of difference | 0.9800 to 7.711 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A19.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive External Rotation outcomes.
Table A19.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive External Rotation outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 2.041 | −2.213 to 6.295 | 0.341 | |||
| W6 | rESWT vs. PTMs | 6.193 | 2.129 to 10.26 | 0.003 | |||
| W12 | rESWT vs. PTMs | 4.803 | 1.110 to 8.495 | 0.012 | |||
| rESWT | BL vs. W6 | −19.82 | −22.83 to −16.82 | <0.001 | |||
| BL vs. W12 | −30.3 | −33.89 to −26.71 | <0.001 | ||||
| W6 vs. W12 | −10.48 | −13.56 to −7.398 | <0.001 | ||||
| PTMs | BL vs. W6 | −15.67 | −19.29 to −12.05 | <0.001 | |||
| BL vs. W12 | −27.54 | −31.77 to −23.31 | <0.001 | ||||
| W6 vs. W12 | −11.87 | −14.36 to −9.383 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 54.22 | 52.18 | 2.041 | 2.125 | 0.961 | 57.27 |
| W6 | rESWT vs. PTMs | 74.04 | 67.85 | 6.193 | 2.03 | 3.051 | 57.79 |
| W12 | rESWT vs. PTMs | 84.52 | 79.72 | 4.803 | 1.84 | 2.611 | 51.3 |
| rESWT | BL vs. W6 | 54.22 | 74.04 | −19.82 | 1.184 | 16.75 | 29 |
| BL vs. W12 | 54.22 | 84.52 | −30.3 | 1.412 | 21.46 | 29 | |
| W6 vs. W12 | 74.04 | 84.52 | −10.48 | 1.213 | 8.64 | 29 | |
| PTMs | BL vs. W6 | 52.18 | 67.85 | −15.67 | 1.424 | 11.01 | 29 |
| BL vs. W12 | 52.18 | 79.72 | −27.54 | 1.663 | 16.56 | 29 | |
| W6 vs. W12 | 67.85 | 79.72 | −11.87 | 0.979 | 12.13 | 29 | |
Table A20.
Summary of mixed-effects model results for ROM—Active Internal Rotation outcomes.
Table A20.
Summary of mixed-effects model results for ROM—Active Internal Rotation outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.477, 85.69) = 521.1 | 0.7387 | |
| Treatment | 0.209 | F (1, 58) = 1.613 | ||
| Time × Treatment | 0.239 | F (1.477, 85.69) = 1.451 | 0.7387 | |
| Random effects | SD | Variance | ||
| Subject | 4.943 | 24.43 | ||
| Residual | 4.185 | 17.51 | ||
| Was the matching effective? | Chi-square, DF | 56.52, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 48.76 | ||
| Predicted mean of PTMs | 46.95 | |||
| Difference between predicted means | 1.804 | |||
| SE of difference | 1.421 | |||
| 95% CI of difference | −1.039 to 4.647 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A21.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Internal Rotation outcomes.
Table A21.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Active Internal Rotation outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.923 | −3.179 to 5.025 | 0.654 | |||
| W6 | rESWT vs. PTMs | 1.19 | −2.105 to 4.485 | 0.473 | |||
| W12 | rESWT vs. PTMs | 3.299 | 0.8579 to 5.740 | 0.009 | |||
| rESWT | BL vs. W6 | −16.09 | −19.41 to −12.77 | <0.001 | |||
| BL vs. W12 | −25.46 | −28.87 to −22.05 | <0.001 | ||||
| W6 vs. W12 | −9.367 | −10.90 to −7.837 | <0.001 | ||||
| PTMs | BL vs. W6 | −15.82 | −18.48 to −13.16 | <0.001 | |||
| BL vs. W12 | −23.08 | −26.12 to −20.04 | <0.001 | ||||
| W6 vs. W12 | −7.258 | −9.236 to −5.279 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 34.91 | 33.98 | 0.923 | 2.049 | 0.451 | 57.12 |
| W6 | rESWT vs. PTMs | 51 | 49.81 | 1.19 | 1.646 | 0.723 | 57.63 |
| W12 | rESWT vs. PTMs | 60.36 | 57.06 | 3.299 | 1.218 | 2.709 | 54.33 |
| rESWT | BL vs. W6 | 34.91 | 51 | −16.09 | 1.306 | 12.32 | 29 |
| BL vs. W12 | 34.91 | 60.36 | −25.46 | 1.342 | 18.97 | 29 | |
| W6 vs. W12 | 51 | 60.36 | −9.367 | 0.602 | 15.56 | 29 | |
| PTMs | BL vs. W6 | 33.98 | 49.81 | −15.82 | 1.047 | 15.11 | 29 |
| BL vs. W12 | 33.98 | 57.06 | −23.08 | 1.197 | 19.29 | 29 | |
| W6 vs. W12 | 49.81 | 57.06 | −7.258 | 0.779 | 9.321 | 29 | |
Table A22.
Summary of mixed-effects model results for ROM—Passive Internal Rotation outcomes.
Table A22.
Summary of mixed-effects model results for ROM—Passive Internal Rotation outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.886, 109.4) = 242.9 | 0.943 | |
| Treatment | 0.129 | F (1, 58) = 2.367 | ||
| Time × Treatment | 0.08 | F (1.886, 109.4) = 2.629 | 0.943 | |
| Random effects | SD | Variance | ||
| Subject | 4.074 | 16.6 | ||
| Residual | 5.315 | 28.25 | ||
| Was the matching effective? | Chi-square, DF | 21.48, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 56.6 | ||
| Predicted mean of PTMs | 54.58 | |||
| Difference between predicted means | 2.026 | |||
| SE of difference | 1.317 | |||
| 95% CI of difference | −0.610 to 4.662 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A23.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Internal Rotation outcomes.
Table A23.
Summary of the results from Bonferroni’s multiple comparison tests for ROM—Passive Internal Rotation outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | 0.2327 | −3.970 to 4.435 | 0.912 | |||
| W6 | rESWT vs. PTMs | 1.33 | −2.394 to 5.054 | 0.477 | |||
| W12 | rESWT vs. PTMs | 4.516 | 2.398 to 6.635 | <0.001 | |||
| rESWT | BL vs. W6 | −14.17 | −18.05 to −10.29 | <0.001 | |||
| BL vs. W12 | −23.23 | −27.25 to −19.22 | <0.001 | ||||
| W6 vs. W12 | −9.06 | −12.63 to −5.485 | <0.001 | ||||
| PTMs | BL vs. W6 | −13.08 | −16.51 to −9.642 | <0.001 | |||
| BL vs. W12 | −18.95 | −22.36 to −15.53 | <0.001 | ||||
| W6 vs. W12 | −5.873 | −8.235 to −3.511 | <0.001 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 44.13 | 43.9 | 0.233 | 2.099 | 0.111 | 57.65 |
| W6 | rESWT vs. PTMs | 58.31 | 56.98 | 1.33 | 1.857 | 0.716 | 53.45 |
| W12 | rESWT vs. PTMs | 67.37 | 62.85 | 4.516 | 1.056 | 4.277 | 52.13 |
| rESWT | BL vs. W6 | 44.13 | 58.31 | −14.17 | 1.526 | 9.285 | 29 |
| BL vs. W12 | 44.13 | 67.37 | −23.23 | 1.579 | 14.71 | 29 | |
| W6 vs. W12 | 58.31 | 67.37 | −9.06 | 1.407 | 6.44 | 29 | |
| PTMs | BL vs. W6 | 43.9 | 56.98 | −13.08 | 1.351 | 9.675 | 29 |
| BL vs. W12 | 43.9 | 62.85 | −18.95 | 1.344 | 14.1 | 29 | |
| W6 vs. W12 | 56.98 | 62.85 | −5.873 | 0.930 | 6.318 | 29 | |
Table A24.
Summary of mixed-effects model results for Supraspinatus Tendon Thickness outcomes.
Table A24.
Summary of mixed-effects model results for Supraspinatus Tendon Thickness outcomes.
| Mixed-effects model (REML) | Matching by factors: | Time and Side | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.069, 61.99) = 14.24 | 0.5344 | |
| Treatment | 0.781 | F (1, 116) = 0.078 | ||
| Side | <0.001 | F (1, 58) = 28.06 | 1 | |
| Time × Treatment | <0.001 | F (1.069, 61.99) = 13.92 | 0.534 | |
| Time × Side | <0.001 | F (1.055, 61.17) = 16.13 | 0.527 | |
| Treatment × Side | 0.236 | F (1, 116.0) = 1.418 | 1 | |
| Time × Treatment × Side | <0.001 | F (1.055, 61.17) = 12.53 | 0.527 | |
| Random effects | SD | Variance | ||
| Subject | 0.442 | 0.196 | ||
| Subject × Time | 0 | 0 | ||
| Subject × Side | 0.478 | 0.229 | ||
| Residual | 0.129 | 0.017 | ||
| Was the matching effective? | Chi-square, DF | 648.5, 2 | p value | <0.001 |
| Compare each cell mean with every other cell mean | ||||
| Number of families | 1 | |||
| Number of comparisons per family | 66 | |||
Table A25.
Summary of the results from Bonferroni’s multiple comparison tests for Supraspinatus Tendon Thickness outcomes (only results related to the data shown in Table 6 are shown).
Table A25.
Summary of the results from Bonferroni’s multiple comparison tests for Supraspinatus Tendon Thickness outcomes (only results related to the data shown in Table 6 are shown).
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT (a) vs. PTMs (a) | 0.05 | −0.67 to 0.77 | >0.999 | |||
| rESWT (c) vs. PTMs (c) | 0.07 | −0.51 to 0.65 | >0.999 | ||||
| rESWT (a) vs. rESWT (c) | 0.56 | −0.02 to 1.15 | 0.070 | ||||
| PTMs (a) vs. PTMs (c) | 0.58 | 0.04 to 1.12 | 0.023 | ||||
| W6 | rESWT (a) vs. PTMs (a) | −0.22 | −0.82 to 0.38 | 0.975 | |||
| rESWT (c) vs. PTMs (c) | 0.06 | −0.51 to 0.64 | >0.999 | ||||
| rESWT (a) vs. rESWT (c) | 0.30 | −0.03 to 0.64 | 0.135 | ||||
| PTMs (a) vs. PTMs (c) | 0.58 | 0.06 to 1.11 | 0.016 | ||||
| W12 | rESWT (a) vs. PTMs (a) | −0.27 | −0.86 to 0.33 | 0.895 | |||
| rESWT (c) vs. PTMs (c) | 0.06 | −0.52 to 0.64 | >0.999 | ||||
| rESWT (a) vs. rESWT (c) | 0.22 | −0.09 to 0.54 | 0.815 | ||||
| PTMs (a) vs. PTMs (c) | 0.55 | 0.03 to 1.08 | 0.027 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT (a) vs. PTMs (a) | 5.76 | 5.71 | 0.05 | 0.20 | 0.25 | 57.93 |
| rESWT (c) vs. PTMs (c) | 5.20 | 5.13 | 0.07 | 0.16 | 0.43 | 57.77 | |
| rESWT (a) vs. rESWT (c) | 5.76 | 5.20 | 0.56 | 0.15 | 3.64 | 29.00 | |
| PTMs (a) vs. PTMs (c) | 5.71 | 5.13 | 0.58 | 0.14 | 4.06 | 29.00 | |
| W6 | rESWT (a) vs. PTMs (a) | 5.50 | 5.71 | −0.22 | 0.17 | 1.30 | 51.30 |
| rESWT (c) vs. PTMs (c) | 5.20 | 5.13 | 0.06 | 0.16 | 0.39 | 57.64 | |
| rESWT (a) vs. rESWT (c) | 5.50 | 5.20 | 0.30 | 0.09 | 3.39 | 29.00 | |
| PTMs (a) vs. PTMs (c) | 5.71 | 5.13 | 0.58 | 0.14 | 4.19 | 29.00 | |
| W12 | rESWT (a) vs. PTMs (a) | 5.42 | 5.69 | −0.27 | 0.17 | 1.62 | 51.70 |
| rESWT (c) vs. PTMs (c) | 5.20 | 5.14 | 0.06 | 0.16 | 0.38 | 57.73 | |
| rESWT (a) vs. rESWT (c) | 5.42 | 5.20 | 0.22 | 0.08 | 2.67 | 29.00 | |
| PTMs (a) vs. PTMs (c) | 5.69 | 5.14 | 0.55 | 0.14 | 3.99 | 29.00 | |
Table A26.
Summary of mixed-effects model results for Acromiohumeral Distance outcomes.
Table A26.
Summary of mixed-effects model results for Acromiohumeral Distance outcomes.
| Mixed-effects model (REML) | Matching: | Stacked | ||
| Assume sphericity? | No | |||
| Alpha | 0.05 | |||
| Fixed effects (type III) | p value | F (DFn, DFd) | Geisser-Greenhouse’s epsilon | |
| Time | <0.001 | F (1.522, 88.28) = 11.80 | 0.761 | |
| Treatment | 0.608 | F (1, 58) = 0.266 | ||
| Time × Treatment | <0.001 | F (1.522, 88.28) = 13.56 | 0.761 | |
| Random effects | SD | Variance | ||
| Subject | 0.846 | 0.715 | ||
| Residual | 0.176 | 0.031 | ||
| Was the matching effective? | Chi-square, DF | 307.1, 1 | p value | <0.001 |
| Difference between column means | Predicted mean of rESWT | 10.93 | ||
| Predicted mean of PTMs | 10.82 | |||
| Difference between predicted means | 0.1133 | |||
| SE of difference | 0.2199 | |||
| 95% CI of difference | −0.327 to 0.553 | |||
| Data summary | Number of columns (Treatment) | 2 | ||
| Number of rows (Time) | 3 | |||
| Number of subjects (Subject) | 60 | |||
| Number of missing values | 0 | |||
| Compare cell means with others in its row and its column | ||||
| Number of families | 5 | |||
| Number of comparisons per row family | 1 | |||
| Number of comparisons per column family | 3 | |||
Table A27.
Summary of the results from Bonferroni’s multiple comparison tests for Acromiohumeral Distance outcomes.
Table A27.
Summary of the results from Bonferroni’s multiple comparison tests for Acromiohumeral Distance outcomes.
| Bonferroni’s multiple comparisons test | Mean diff. | 95% CI of diff. | Adjusted p Value | ||||
| BL | rESWT vs. PTMs | −0.07167 | −0.536 to 0.393 | 0.759 | |||
| W6 | rESWT vs. PTMs | 0.1577 | −0.278 to 0.593 | 0.472 | |||
| W12 | rESWT vs. PTMs | 0.254 | −0.184 to 0.692 | 0.251 | |||
| rESWT | BL vs. W6 | −0.2473 | −0.358 to −0.137 | <0.001 | |||
| BL vs. W12 | −0.3003 | −0.409 to −0.192 | <0.001 | ||||
| W6 vs. W12 | −0.053 | −0.106 to −0.000 | 0.049 | ||||
| PTMs | BL vs. W6 | −0.018 | −0.0428 to 0.007 | 0.227 | |||
| BL vs. W12 | 0.02533 | −0.138 to 0.188 | >0.999 | ||||
| W6 vs. W12 | 0.04333 | −0.118 to 0.205 | >0.999 | ||||
| Test details | Mean 1 | Mean 2 | Mean diff. | SE of diff. | t | DF | |
| BL | rESWT vs. PTMs | 10.75 | 10.82 | −0.0717 | 0.232 | 0.300 | 58 |
| W6 | rESWT vs. PTMs | 11 | 10.84 | 0.158 | 0.218 | 0.724 | 57.41 |
| W12 | rESWT vs. PTMs | 11.05 | 10.8 | 0.254 | 0.219 | 1.16 | 57.42 |
| rESWT | BL vs. W6 | 10.75 | 11 | −0.247 | 0.043 | 5.70 | 29 |
| BL vs. W12 | 10.75 | 11.05 | −0.300 | 0.043 | 7.013 | 29 | |
| W6 vs. W12 | 11 | 11.05 | −0.053 | 0.021 | 2.55 | 29 | |
| PTMs | BL vs. W6 | 10.82 | 10.84 | −0.018 | 0.010 | 1.842 | 29 |
| BL vs. W12 | 10.82 | 10.8 | 0.025 | 0.064 | 0.395 | 29 | |
| W6 vs. W12 | 10.84 | 10.8 | 0.043 | 0.064 | 0.683 | 29 | |
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