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. 2017 Jan 3;475(4):933–946. doi: 10.1007/s11999-016-5204-6

Statistics In Brief: Minimum Clinically Important Difference—Availability of Reliable Estimates

Mitchell Maltenfort 1,, Claudio Díaz-Ledezma 2
PMCID: PMC5339150  PMID: 28050812

Background

To enter the era of value-based orthopaedics (“health outcomes per dollar spent”) [2, 19], clinical researchers will have to prove that each treatment produces a meaningful clinical improvement using outcomes that are relevant for patients. The American Association of Hip and Knee Surgeons has recommended the use of patient-reported outcome measures to evaluate the results of knee and hip arthroplasties [16]. Studies have focused on statistically detectable (sometimes called statistically significant) differences [35]; however, it can be possible to detect statistical differences between interventions that are so small as not to be discernible to patients. Such small differences may not justify the cost or risk of the intervention. It seems much more important that treatments should result in clinical improvements big enough for patients to consider clinically important.

For a given outcome measure, we questioned how much improvement is needed for patients to consider the difference clinically important? Stated otherwise, what is the minimum clinically important differences (MCID) for a specific outcomes measurement tool, such as the SF-36 or the Oswestry Disability Index?

Discussion

According to Cook [5], the idea of the MCID was originally conceived by Jaeschke in 1989, whose definition was “the smallest difference in score in the domain of interest which patients perceive as beneficial and which would mandate, in the absence of troublesome side effects and excessive cost, a change in the patient management.” Cook’s interpretation of this seminal definition establishes two essential characteristics: (1) a minimal amount of change perceived by the patient; and (2) a change sufficiently relevant to determine a modification in patient management. The alternative term, minimal clinically important improvement (MCII) is defined as the “smallest change in measurement that signifies an important improvement” [16], and has encountered more support than the MCID in musculoskeletal research, especially in rheumatology [31, 32]. In the accompanying tables (Tables 18), we refer to their results as MCID or MCII, but acknowledge it may not be consistent among them. For simplicity, we will use the term MCID throughout this paper.

Table 2.

Minimum clinically important differences for the knee

Test Subset Method Anchor Value (points) Variability (if given) Patient group Citation
KOOS PS Mean change between groups Arthritis better −2.2 SD 17.5 Osteoarthritis Singh et al. [23]
QoL 8 SD 16.1
Sport/recreation ROC (maximum accuracy) Improve ADL 40 MACI for chondral defects Ebert et al. [9]
Sport/recreation Return to recreation 40
Sport/recreation Return to sport 45
Sport/recreation Overall satisfaction 40
QoL Improve ADL 23
QoL Overall satisfaction 31
IACOP Pain Mean change between groups Arthritis better 18.5 SD 22.0 Osteoarthritis Singh et al. [23]
Constant Pain 18.7 SD 24.4
Intermittent Pain 18.4 SD 25.4
SF-36 Physical Function Meta-analysis 11.57 6.5–16.7 Osteoarthritis; 6 months postoperatively Keurentjes et al. [12]
Role Physical 11.69 3.8–19.6
Pain 16.86 9.7–24.0
General Health 0.85 −3.2 to +4.9
Energy/Vitality 3.86 −1.7 to +9.4
Social Function 11.66 3.7–19.6
Role Mental 7.65 −4.5 to +19.8
Mental Health −0.32 −5.5 to +4.9

KOOS = Knee Osteoarthritis Outcome Score; PS = Physical Function Short Form; QoL = quality of life; MACI = matrix-induced autologous chondrocyte implantation; IACOP = intermittent and constant osteoarthritis pain; ADL = activities of daily living; ROC = receiver operating characteristic curve.

Table 3.

Minimum clinically important differences for the spine

Test Type Method Anchor Value (points) Patient group Citation
mJOA MCID Mean change between groups Health transition (SF-36) 3.07 Cervical spondylotic myelopathy Zhou et al. [36]
ROC (maximum accuracy) 1.25
Average change of responders 2.7
Mean change between groups Improvement on NDI 1.11 Degenerative cervical myelopathy (overall) Tetreault et al. [29]
ROC (maximum accuracy) 2
Mean change between groups 0.43 Degenerative cervical myelopathy; mild mJOA
Mean change between groups 0.44 Degenerative cervical myelopathy; moderate mJOA
Mean change between groups 1.76 Degenerative cervical myelopathy; severe mJOA
ODI Cutoff (outcome scores) ROC (unclear) Reported disability 12 Lower back pain Tonosu et al. [30]
MCII Preoperative questionnaire Minimal acceptable outcome 28.7
SD, 9.31; range, 6–53
Spondylolisthesis (lumbar fusion) Carragee and Cheng [3]
Minimal acceptable outcome 29.2
SD, 7.80; range, 8–48
Degenerative disc disease (lumbar fusion)
MCID Mean change between groups Health transition (SF-36) and satisfaction 15.6 Revision for lumbar stenosis Parker et al. [21]
ROC (unclear) 9
Average change in responders 19.9
Mean change between groups Health transition (SF-36) 13.8 Revision for lumbar adjacent segment disease
ROC (unclear) 11
Average change in responders 14.9
Mean change between groups Satisfaction 12.4
ROC (unclear) 12
Average change in responders 16.7
MCID ROC (unclear) Health transition (SF-36) 13.9 IDEM spinal tumors Zuckerman et al. [37]
MCID ROC (maximum accuracy) Health transition (SF-36) 11.3 Cervical spine Skolasky et al. [26]
EQ-5D MCID Mean change between groups Health transition (SF-36) and satisfaction 0.52 Revision for lumbar stenosis Parker et al. [21]
ROC (unclear) 0.43
Average change in responders 0.52
Mean change between groups Health transition (SF-36) 0.29 Revision for lumbar adjacent segment disease
ROC (unclear) 0.4
Average change in responders 0.48
Mean change between groups Satisfaction 0.29
ROC (unclear) 0.49
Average change in responders 0.53
SF-36 PCS MCID ROC (maximum accuracy Health transition (SF-36) I 6.5 Cervical spine Skolasky et al. [26]
SF-36 MCS 5
SF-12 PCS MCID Mean change between groups Health transition (SF-36) and satisfaction 12.1 Revision for lumbar stenosis Parker et al. [21]
ROC (unclear) 4.4
Average change in responders 11.5
Mean change between groups Health transition (SF-36) 8.8 Revision for lumbar adjacent segment disease
ROC (unclear) 6.2
Average change in responders 11.7
Mean change between groups Satisfaction 7.5
ROC (unclear) 10.1
Average change in responders 12.6
MCID ROC (unclear) Health transition (SF-36) 2.8 IDEM spinal tumors Zuckerman et al. [37]
MCID Mean change between groups 9.62 Cervical spondylotic myelopathy Zhou et al. [36]
ROC (maximum accuracy) 4.09
Average change of responders 5.44
SF-12 MCS MCID Mean change between groups Health transition (SF-36) and satisfaction 9.2 Revision for lumbar stenosis Parker et al. [21]
ROC (unclear) 7.0
Average change in responders 15.9
Mean change between groups Health transition (SF-36) 6.3 Revision for lumbar adjacent segment disease
ROC (unclear) 7.3
Average change in responders 10.6
Mean change between groups Satisfaction 4.4
ROC (unclear) 10.0
Average change in responders 10.8
MCID ROC (unclear) Health transition (SF-36) 10.7 IDEM spinal tumors Zuckerman et al. [37]
MCID Mean change between groups Health transition (SF-36) 7.41 Cervical spondylotic myelopathy Zhou et al. [36]
ROC (maximum accuracy) 3.91
Average change of responders 3.11

MCID = minimum clinically important difference; ROC = receiver operating characteristic; NDI = Neck Disability Index; mJOA = modified Japanese Orthopaedic Association. ODI = Oswestry Disability Index; IDEM = intradural extramedullary; MCS = Mental Component Summary; PCS = Physical Component Summary; MCII = minimal clinically important improvement.

Table 4.

Foot and ankle scores based on reported improvement for anchor

Test Subset Type Method Value (points) Patient group Citation
AOFAS Hallux MTP-IP MCID ROC (maximum accuracy) 17 for pain; 7 for other foot problems Surgery for hallux valgus Dawson et al. [8]
Ankle-hindfoot 2
Midfoot 5
Lesser toes MTP-IP 7 for pain; 3 for other foot problems
MOXFQ Walking/standing 14.29
Pain 25
Social interaction 25 for pain; 18.75 for other foot problems
MOXFQ Walking/standing MCIC Mean change between groups 13.03 Surgery for hallux valgus (Pain Group) Dawson et al. [6]
Pain 13.01
Social interaction 12.94
Walking/standing 11.02 Surgery for hallux valgus (other problems)
Pain 13.76
Social interaction 12.28
Walking/standing MCID 16.2 Surgery for hallux valgus (Pain Group)
Pain 9.9
Social interaction 9.3
Walking/standing 9.7 Surgery for hallux valgus (other problems)
Pain 9.1
Social interaction 10.6
SF-36 Physical Function MCID ROC (maximum accuracy) 5 Surgery for hallux valgus (Pain Group) Dawson et al. [8]
Role Physical 25
Role Mental N/A
Social Function 12.5
Mental Health 5
Energy/Vitality N/A
Pain 0
General Health 10
Physical Function 10 Surgery for hallux valgus (other problems)
Role Physical 25
Role Mental N/A
Social Function 12.5
Mental Health 5
Energy/Vitality N/A
Pain 11.1
General Health 10
Physical Function MCIC Mean change between groups −5.00 Surgery for hallux valgus (Pain Group) Dawson et al. [6]
Role Physical −3.09
Role Mental 3.57
Social Function 0.15
Mental Health −0.88
Energy/Vitality −0.22
Pain −6.93
General Health 4.36
Physical Function −2.65 Surgery for hallux valgus (other problems)
Role Physical −1.85
Role Mental 1.63
Social Function 1.34
Mental Health 0.38
Energy/Vitality 2.14
Pain −7.96
General Health 3.94

AOFAS = American Orthopaedic Foot and Ankle Society; MTP-IP = metatarsophalangeal-interphalangeal; MOXFQ = Manchester-Oxford foot questionnaire; MCID = minimum clinically important difference; MCIC = minimal clinically important change; N/A = not available; ROC = receiver operating characteristic.

Table 7.

Minimum clinically important differences for the shoulder and elbow

Test Subset Method Anchor Value (points) Variability (if given) Patient group Citation
ASES Total score ROC (maximum accuracy) Reported improvement 6.4 Outpatient shoulder Michener et al. [17]
Function Mean change between groups Reported improvement 12.01 Nonoperative tendinitis or rotator cuff tear Tashjian et al. [28]
Pain 16.92
Satisfaction 16.72
Work anchor Mean change Satisfaction 6.3 −2.3 to +15.0 TSA Werner et al. [34]
Activity anchor 9.1 1.3–16.9
Overall satisfaction 13.5 4.8–22.3
SF-12 activity anchor 7.7 1.4–14.0
Work anchor Mean change Satisfaction 6.2 −6.3 to +18.7 RSA Werner et al. [34]
Activity anchor 8.9 −3.4 to +21.3
Overall satisfaction 8.4 2.8–14.0
SF-12 activity anchor 13.9 3.5–24.2
OES Function Mean change between groups Reported improvement 9.23 Elbow surgery Dawson et al. [7]
ROC (maximum accuracy) 5
Mean change between groups 9.64 Elbow problems
ROC (maximum accuracy) 0
Pain Mean change between groups 19.23 Elbow surgery
ROC (maximum accuracy) 12.5
Mean change between groups 17.41 Elbow problems
ROC (maximum accuracy) 6.25
Social-psychological Mean change between groups 17.79 Elbow surgery
ROC (maximum accuracy) 12.5
Mean change between groups 18.30 Elbow problems
ROC (maximum accuracy) 6.25

OES = Oxford Elbow Score; ASES = American Society of Shoulder and Elbow Surgery; TSA = total shoulder arthroplasty; RSA = revision shoulder arthroplasty; ROC = receiver-operating characteristic.

Table 1.

Minimal clinically important improvements for the hip

Test Subset Method Anchor Value (points) Variability (if given) Patient group Citation
HOOS Pain Mean change between groups Reported improvement 24 20–28 All THA Paulsen et al. [22]
PS 23 19–29
QoL 17 12–22
Pain ROC (maximum accuracy) 33 29–40
PS 35 27–50
QoL 38 32–39
Pain ROC (80% specificity) 33 29–40
PS 35 27–50
QoL 38 32–39
EURO-QOL EQ-5D ROC (maximum accuracy) Reported improvement 0.14 0.10–0.18
EQ-VAS Mean change between groups 7 1–12
EQ-5D General health 0.31 0.29–0.34
EQ-VAS 23 21–5
EQ-5D ROC (80% specificity) Reported improvement 0.16 0.12–0.23
EQ-VAS 23 3–28
EQ-5D General health 0.18 0.07–0.34
EQ-VAS 12 7–14
EQ-5D ROC (maximum accuracy) Reported improvement 0.33 0.13–0.33
EQ-VAS 15 10–20
EQ-5D General health 0.31 0.37–0.44
EQ-VAS 35 30–40
EQ-5D ROC (80% specificity) Reported improvement 0.16 Femoroacetabular impingement Impellizzeri et al. [10]
EQ-VAS 15
Harris hip score (MCII) Mean change between groups Health transition (SF-36) and satisfaction 18 SD 18.2 Primary THA; 2 years Singh el al. [24]
40.1 SD 12.8 Primary THA; 5 years
Mayo hip score (MCII) 22.4 SD 19.5 Primary THA; 2 years Singh et al. [25]
22.7 SD 19.4 Primary THA; 5 years
Oxford Hip Score (MCIC) OHS ROC (80% specificity) Reported improvement 6 Femoroacetabular impingement Impellizzeri et al. [10]
WOMAC Pain ROC (80% specificity) Reported improvement 28 Femoroacetabular impingement Impellizzeri et al. [10]
Stiffness 25
Function 21
Total 22
SF-36 Physical Function Systematic review Not applicable 20.40 14.4–26.4 Primary hip; osteoarthritis; 6 months postoperatively Keurentjes et al. [12]
Role Physical 10.78 1.5–20.0
Pain 14.67 6.8–22.6
General Health 0.40 −5.2 to +6.0
Energy/Vitality 10.14 3.1–17.2
Social Function 8.63 0.9–16.4
Role Mental −6.45 −24.5 to +11.6
Mental Health 8.99 2.3–15.7
Physical Function 8.29 −1.8 to +18.4 Primary hip; osteoarthritis; 2 years postoperatively
Role Physical 11.00 −13 to +23.3
Pain 18.34 9.1–27.6
General Health −6.37 −10.9 to +1.9
Energy/Vitality 14.51 6.4–22.6
Social Function 17.97 7.8−28.1
Role Mental 20.83 −0.6 to +28.3
Mental Health 16.15 9.0–23.3
Physical Function 3.25 2.8–3.9 Revision hip; osteoarthritis; 6 months postoperatively
Role Physical 4.78 4.1–5.8
Pain 14.91 12.7–18.0
General Health 14.12 12.1–17.0
Energy/Vitality 22.81 19.5–27.5
Social Function 15.83 13.5–19.1
Role Mental 19.98 17.1–24.1
Mental Health 12.37 10.6–14.9

HOOS = Hip Osteoarthritis Outcome Score; PS = Physical Function Short Form; QoL = quality of life; WOMAC = Western Ontario and McMaster Universities Arthritis Index; MCII = minimal clinically important improvement; MCIC = minimal clinically important change; ROC = receiver operating characteristic

Table 8.

Minimum clinically important differences for the DASH and QuickDASH scores

Test Method Anchor Value (points) Variability (if given) Patient group Citation
DASH ROC (maximum accuracy) Reported improvement 13.5 Idiopathic ulnar impaction syndrome Kim and Park [14]
DASH Mean change between groups Reported improvement 10 SD 13 All patients Sorensen et al. [27]
QuickDASH 14 SD 14
DASH 15 SD 20 Osteoarthritis
QuickDASH 19 SD 19
DASH 6 SD 14 Nerve compression
QuickDASH 10 SD 16.1
DASH 10 SD 10 Tendinitis
QuickDASH 16 SD 13
DASH Mean change between groups Reported improvement 10.32 Elbow pain Dawson et al. [7]
ROC (maximum accuracy) 5
Mean change between groups 9.11 Elbow problems
ROC (maximum accuracy) 5
QuickDASH (MCII) ROC (maximum accuracy) Satisfaction 20 All patients with carpal tunnel disorders Clement et al. [4]
4 Baseline 0–25
12 Baseline 25–50
23 Baseline 50–75
39 Baseline 75–100

DASH = Disabilities of the Arm, Shoulder and Hand; ROC = receiver-operating characteristic; MCII = minimal clinically important improvement.

The application of MCIDs in clinical research has been difficult largely owing to various methods for estimating them [5, 14, 15]. Wright et al. [35] enumerates nine possible methods that can be divided in two possible approaches. One approach uses distribution-based methods, based on statistically detectable changes. However, MCIDs calculated using statistical distributions—particularly when they represent small effect sizes—may not reflect clinically important changes. This topic is discussed in more detail in the “Myths and Misconceptions” Section.

The other approach is to define a binary anchor based on a patient’s reported outcome—for example, was the patient satisfied, or did (s)he feel that his or her health had improved? In this anchor approach, there are two commonly used methods to estimate MCID. One is to use a statistical test to estimate the difference between patients answering ‘yes’ and ‘no’ to the anchor. Another is to use a receiver-operating characteristic (ROC) curve to identify the MCID as the threshold best separating ‘yes’ and ‘no’ responses. In studies using the ROC approach, two additional alternatives exist: studies that focus on maximum overall accuracy, and studies that ascertain whether 80% specificity had been achieved. Importantly, Katz et al. [11] also warn that anchor-based approaches may be misleading in scenarios where a few patients show large benefits, but most show negligible changes.

Although we believe the anchor approach is relatively robust, we acknowledge that different calculation methods lead, unsurprisingly, to different results. Other factors affecting results include whether the calculations were based on raw outcome scores or changes from baseline (MCID vs MCII) and the underlying diagnosis for the patients. Accordingly, we sometimes found a range of possible MCID values for the same outcomes tool (Tables 18).

Myths and Misconceptions

The MCID and the Minimal Detectable Change are the Same (or Even Similar)

They are not the same. By definition, the minimal detectable change (MDC) is the smallest change that can be distinguished from background variation among subjects, which may depend on the variability of the measurement in the population or on the standard error of measurement associated with the test. However, a statistically detectable change may not be one that matters to the patient, although the two may be related. For example, Norman et al. [18] reported that for quality-of-life outcome scores across a range of conditions, the MCID was generally approximately half the standard deviation of the reported scores’ ranges, perhaps reflecting discrimination thresholds of patients. If the MDC is less than the MCID/MCII, then a study may suggest that a treatment results in a difference in outcomes (based on distribution) but the patients may not be able to perceive this difference. If the MCID/MCII is less than the MDC, then we may have the opposite situation, in which numerous patients will report a real benefit, but there is no way to verify it using hard data.

The difference between a statistically detectable and clinically meaningful difference is important (Fig. 1). Imagine a series of clinical studies, each of which returns an estimate of the size of a treatment’s effect, with a confidence interval drawn around that estimate. If the confidence interval crosses the vertical line representing “no change,” the result is not statistically significant, meaning that the observed “difference” may be simply the influence of chance. If the confidence interval is entirely to the right of the vertical line indicating “no change” then the effect is unlikely to be a chance effect. The clinical importance of this effect increases with its distance from the vertical line; that is, confidence intervals that are to the right of the line of “no change” represent “real” effects, but if they are very close to that line, those treatment effects are very small. Therefore it is possible to have situations that reflect statistically detectable changes, but ones that are not clinically important. It also is possible to have intermediate situations, in which there is no statistical effect but we cannot exclude the possibility of a clinical one (this comes into play when there is insufficient statistical power, commonly the result of too few patients studied), or in which there is a statistical effect (the confidence interval remains entirely to the right of the line of “no change”), and the point estimate—such as the mean value on a patient-reported outcomes score, or an odds ratio—seems large enough to care about, but a confidence interval whose left-hand boundary is a very small number, suggesting the effect may in fact not be clinically important.

Fig. 1.

Fig. 1

A comparison of clinical and statistical significance is presented. The vertical line indicates the “no change” region of a measured effect. The horizontal distance from the line measures strength of the effect. Any confidence interval crossing that vertical line is not statistically significant, and any confidence interval near that line may not be clinically significant.

For a Specific Outcomes Tool, the MCIDs for Various Treatments of a Single Joint Will Always be the Same (or Even Similar)

One expects MCID estimates to differ depending on patients’ pathologic characteristics and comorbidities, even when the same calculation method is used for a given outcomes tool. For example, the MCID for hip osteoarthritis may vary based on whether the operation was a first-time arthroplasty or a revision, and based on the timetable of recovery (Table 1). Other examples include those reported by Ozer et al. [20], who found that patients with diabetes had higher MCIDs on the Carpal Tunnel Questionnaire (Table 6), and Wang et al. [33], who found that the MCID for Lower Extremity Functional Scale scores after treatment are at least in part related to the scores those patients reported at baseline (Table 5) and also that age, gender, and symptom acuity could affect estimated MCIDs.

Table 6.

Minimum clinically important differences for the hand

Test Subset Method Anchor Value (points) Variability (if given) Patient group Citation
CTQ Symptom severity ROC (maximum accuracy) Satisfaction 1.45 Carpal tunnel, patients with diabetes, 3 months Ozer et al. [20]
Function severity 1.95
Symptom severity 0.8 Carpal tunnel, patients without diabetes, 3 months
Function severity 1.25
Symptom severity 1.55 Carpal tunnel, patients with diabetes, 6 months
Function severity 2.05
Symptom severity 1.6 Carpal tunnel, patients without diabetes; 6 months
Function severity 1.45
Overall ROC (maximum accuracy) Reported improvement 0.92 Limited carpal tunnel release Kim and Jeon [13]
Symptom severity 1.14
Function severity 0.74
PWRE ROC (maximum accuracy) Reported improvement 17 Idiopathic ulnar impaction syndrome Kim and Park [14]
Mean change between groups 14 SD 15 All patients Sorensen et al. [27]
10 SD 20 Osteoarthritis
9 SD 11 Nerve compression
17 SD 15 Tendinitis

CTQ = Carpal Tunnel Questionnaire; PWRE = Patient-rated Wrist Evaluation; ROC = receiver operating characteristic curve.

Table 5.

Minimum clinically important differences for the lower extremity functional score

Subset Type Method Based on Anchor Value (points) Variability (if given) Patient group Citation
N/A MCID ROC (unclear) Change score Prognostic rating 9 SEM ± 3.9 Physical therapy patients with any joint, muscle, or soft tissue condition of the lower extremity Binkley et al. [1]
Functional status MCII ROC (maximum accuracy) Change score Reported improvement 12 5–14, lower for higher initial functional status scores; also variations with age, gender, and acuity All patients with knee surgery Wang et al. [33]

MCID = minimum clinically important difference; MCII = minimal clinically important improvement; ROC = receiver operating characteristic; SEM = standard error of mean; N/A = not applicable.

The MCID Can be Used as a Basis for Planning Studies

This is not so much a misconception as a potential caveat. Before the current work, a compendium of outcome scores was assembled by Katz et al. [11], who reviewed painful orthopaedic conditions. They found, as we have, that there is a range of MCIDs for the same condition, and that some scores depend on the initial condition of the patient. Their concern was that averaging across groups could be misleading, if only a few patients change substantially, and most patients change only slightly, if at all. They recommended that in clinical trials comparing two treatments, studies should compare the percentages of patients achieving the MCID.

Conclusions

The tables summarize the range of MCIDs for various outcome tools as an aid to clinicians who may be planning studies or seeking to evaluate patient outcomes in their practices. We caution, based on our findings presented here, that none of the MCID estimates can be considered definitive. However, it may be sufficient for an investigator’s purpose to know a range of probable values for differences between patient groups.

Methodologic Note

The articles referenced were found by using a Boolean search in PubMed using the terms “MCID” or (“Clinically Important” AND (“Minimum” OR “Minimal”) plus “orthopedic” in September 2016. These results were not as comprehensive as we had expected, although still broad enough to provide ample evidence of the variation in MCID. We focused on anchor-based methods because they are tied to patient outcomes, whereas statistical detection thresholds (distribution-based methods) may be irrelevant to the patient.

Footnotes

Each author certifies that he, or a member of his immediate family, has no funding or commercial associations (eg, consultancies, stock ownership, equity interest, patent/licensing arrangements, etc) that might pose a conflict of interest in connection with the submitted article.

All ICMJE Conflict of Interest Forms for authors and Clinical Orthopaedics and Related Research ® editors and board members are on file with the publication and can be viewed on request.

Each author certifies that his or her institution approved the human protocol for this investigation and that all investigations were conducted in conformity with ethical principles of research.

This work was performed at The Rothman Institute at Thomas Jefferson University, Philadelphia, PA, USA.

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