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. 2022 Oct 10;5(10):e2235060. doi: 10.1001/jamanetworkopen.2022.35060

Placebo Response to Oral Administration in Osteoarthritis Clinical Trials and Its Associated Factors

A Model-Based Meta-analysis

Xin Wen 1, Jieren Luo 2, Yiying Mai 3, Yang Li 2, Ying Cao 3, Zewei Li 3, Shun Han 3, Quanyi Fu 3, Qingshan Zheng 2, Changhai Ding 1, Zhaohua Zhu 1,, Lujin Li 2,
PMCID: PMC9552894  PMID: 36215072

Key Points

Question

What are the oral placebo responses and associated factors of osteoarthritis in clinical trials?

Findings

In this model-based meta-analysis of 130 clinical trials with 12 673 participants, the placebo response on the Western Ontario and McMaster Universities Osteoarthritis Index subscale was associated with the baseline scores for pain, stiffness, and function. Associations were also noted with sample size, intervention drugs, proportion of patients who had previously used nonsteroidal anti-inflammatory drugs, and publication year.

Meaning

The findings of this study suggest that the model developed can be used during clinical trial design and decision-making in clinical practice as a tool to evaluate the placebo response at different baseline levels of symptoms.

Abstract

Importance

In osteoarthritis (OA) clinical trials, a placebo is often used as control. Therefore, a thorough understanding of the placebo response is important for guiding drug development in OA.

Objective

To develop an oral placebo response model for OA.

Data Sources

PubMed, EMBASE, and Cochrane Library databases were searched systematically from January 1, 1991, to July 2, 2022.

Study Selection

Randomized double-blind placebo-controlled trials of patients with primary OA were included. The interventions and placebo were administered orally. A total of 3032 trials were identified; of these, 130 (4.3%) met the inclusion criteria.

Data Extraction and Synthesis

Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) scores, dosage form of the placebo, sample size, proportion of patients who previously used nonsteroidal anti-inflammatory drugs, publication year, intervention categories, Kellgren-Lawrence grades, proportion of White patients, duration of pain, funding source, and risk of bias were extracted. A model-based meta-analysis was used to evaluate the time course of the placebo response in OA treatment and estimate the influencing factors. For subgroup analyses, a meta-analysis with a random-effects model was used to summarize the typical values of the model parameters and their SEs.

Main Outcomes and Measures

The primary end point was the time course of the oral placebo response on the WOMAC pain, stiffness, and function subscale scores.

Results

The 130 trials selected for analysis included 12 673 participants (mean age, 59.9 years; 68.9% women). The baseline scores of WOMAC pain, stiffness, and function subscales were found to be significantly associated with the placebo response. The placebo response reached 90% of its maximum response between 5 and 7 weeks. The placebo responses on the WOMAC subscales were also associated with the sample size, proportion of patients who had previously used nonsteroidal anti-inflammatory drugs, intervention drugs, and publication year.

Conclusions and Relevance

In this study, an oral placebo response model of OA was developed that may quantitatively describe the placebo response at different baseline levels of symptoms. The findings may provide valuable references for future clinical trial design and decision-making.


This meta-analysis models the time course of placebo response in patients receiving oral treatment for osteoarthritis.

Introduction

Osteoarthritis (OA) is among the leading causes of joint pain and disability worldwide, with an increasing prevalence in recent years.1 More than 500 million people worldwide are affected by OA, with women being more susceptible.2,3 Osteoarthritis results in a large and increasing disease burden and has substantial consequences for patients, health care systems, and society.3,4 Currently, more than 50 therapies have been studied for their efficacy in OA treatment. However, these treatments only provide symptomatic relief and are unable to reverse the structural damage and progression of the disease.5,6,7 Therefore, there is a need to develop novel therapeutic approaches for the treatment of OA.

In OA clinical trials, a placebo is often used as control to evaluate the efficacy of the tested drugs. However, a previous study8 reported that the placebo response in OA clinical trials was effective, resulting in mean pain relief of 75%, functional improvement of 71%, and stiffness improvement of 83%. Because of the high placebo response, there is less room for the drug to demonstrate its efficacy in clinical trials, and it is difficult to determine the difference in efficacies between the tested drug and the placebo. The high placebo response has long been believed to cause frequent nonsignificant findings in OA trials.9 Therefore, a thorough understanding of the placebo response distribution and its influencing factors is important to guide future designs of OA clinical trials.

A meta-analysis10 that examined the placebo response and its influencing factors in OA clinical trials reported that the placebo response is associated with the baseline disease severity, route of administration, strength of active treatment, and study sample size. Limited by the traditional meta-analysis method, this study pooled and analyzed data from different treatment end points, neglecting the time course of the placebo response. In addition, the study was published in 2008 and many further studies have been published in more recent years. Currently, the international guidelines11 for the treatment of OA recommend multiple oral medications, which account for most of the clinical trials that investigate OA therapies. Oral nonsteroidal anti-inflammatory drugs (NSAIDs) are a mainstay of treatment and are strongly recommended to treat symptoms in patients, regardless of the anatomic location of the disease. Therefore, it is essential to investigate the placebo response to oral medication in OA clinical trials. However, whether other factors can also affect the oral placebo response, such as the proportion of NSAIDs used, funding source, race and ethnicity, and published year, is unclear and deserves further study. To the best of our knowledge, there is a lack of studies examining the time course of the placebo response to orally administered investigational drugs for OA treatment.

Model-based meta-analysis (MBMA) is a pharmacodynamic model-informed drug development strategy method that can quantitatively and accurately describe the time-course association of the placebo response and identify various influencing factors in clinical trials.12,13,14 The difference between MBMA and traditional meta-analysis is that the former infuses pharmacologic rationality into the statistical rigor of meta-analysis data integration.15 We used the MBMA method to establish a placebo response model for OA that may accurately estimate the time course of placebo response of oral administration on the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) pain, stiffness, and function subscales under different conditions, and providing a useful reference for clinical trial design and decision-making.

Methods

Study Selection

PubMed, EMBASE, and Cochrane Library were searched for randomized, double-blind, placebo-controlled trials related to OA from January 1, 1991, to July 2, 2022. The detailed search strategies are presented in eTable 1 in the Supplement. This study followed the Preferred Reporting Items for Systematic Reviews and Meta-analyses (PRISMA) reporting guideline. The data for this study were obtained from literature reports and ethical approval was waived by the ethics committee of Zhujiang Hospital of Southern Medical University.

Inclusion and Exclusion Criteria

The inclusion criteria were randomized, double-blind, placebo-controlled trials in patients with OA in which the interventions and placebo were administered orally and at least 1 WOMAC subscale score (including pain, stiffness, and function) was reported. The WOMAC system is a disease-specific questionnaire that assesses the severity of pain (5 questions), stiffness (2 questions), and any limitations in function (17 questions) for the activities of daily living.16 Detailed inclusion and exclusion criteria are reported in eTable 1 in the Supplement.

Data Extraction

Information such as literature characteristics, trial design characteristics, participants’ baseline characteristics, and clinical outcomes (WOMAC pain, stiffness, and function scores at baseline and at each visit) was extracted. The detailed data extraction method is described in eMethods 1 in the Supplement.

Because different scales were used for the same questions, the standardized WOMAC scores were calculated by assigning each answer a number ranging from 0 to 10, with 0 representing none and 10 representing extreme.17 The aforementioned data were independently extracted by 6 of us (Y.M., Y.L., Y.C., S.H., Z.L., and Q.F.) according to unified standards and then cross-checked in pairs. Inconsistencies were resolved through discussions with 2 of us (Z.Z. and X.W.).

Statistical Analysis

Literature Quality Assessment

The quality of the literature was assessed using the Cochrane risk-of-bias criteria18 by 2 of us (X.W. and Z.Z.) independently. Any differences were resolved through discussions with another one of us (L.L.). The detailed evaluation strategies are described in eMethods 2 in the Supplement.

Modeling Analysis of the Placebo Response

Model building included the establishment of structural, random effect, and covariate models. A detailed description is provided in eMethods 3 in the Supplement.

Model Assessment

Model diagnostic plots, visual predictive check and bootstrap methods were used to evaluate goodness of fit, model estimation ability, and stability. Details are provided in eMethods 4 in the Supplement.

Typical Placebo Response Analysis

The typical placebo response at different levels of covariates with 90% CIs were simulated using 1000 Monte Carlo simulations based on the model parameter estimations. In addition, we conducted a subgroup analysis of potential influencing factors that were of particular concern, regardless of whether they were considered in the construction of the covariate model, including Kellgren-Lawrence (K-L) grades, proportion of patients previously using NSAIDs, proportion of White patients (the only racial or ethnic group with complete data available), dosage form of placebo, intervention categories, sample size of trials, and year of publication. The analytical method consisted of 2 steps. First, individual parameters and SEs for each study were obtained after eliminating covariate effects differences using bayesian post hoc estimation. Second, a meta-analysis with a random-effects model was used to summarize the typical values of the pharmacodynamic parameters and their SEs for each predefined subgroup. Based on the results of these analyses, the typical placebo response for each subgroup with 90% CIs were obtained using 1000 Monte Carlo simulations.

Software

Data extraction and processing were performed using Microsoft Excel, version 2016 (Microsoft Corp) and the Engauge Digitizer, version 11.1. Model estimations were performed using NONMEM, version 7.4; the relevant code can be found in the eMethods 5 in the Supplement. The literature quality assessment was performed using RevMan, version 5.4 (Cochrane Training). Model simulations, meta-analyses, and graph drawings were performed using R software, version 4.1.1 (R Foundation for Statistical Analysis) and R Studio, version 1.3.1093. The hypothesis test used in the establishment of the covariate model was a 1-sided χ2 test; P < .01 was considered to be statistically significant in the forward elimination step, and P < .005 was considered to be significant in the backward elimination step.

Results

Characteristics of the Included Studies

A total of 3032 studies were initially identified. Of these, 130 studies (4.3%), comprising 12 673 participants (mean age, 59.9 years; 68.9% women; 31.1% men), were included in the analysis. Among these, 122 studies reported the WOMAC pain subscale, 96 studies reported the stiffness subscale, and 107 studies reported the function subscale. Baseline WOMAC pain scores ranged from 10.00 to 42.75 (median, 25.00; quartile [Q]1-Q3, 21.50-28.61), baseline stiffness scores ranged from 2.10 to 16.75 (median, 10.23; Q1-Q3, 7.81-12.00), and baseline function scores ranged from 20.75 to 154.58 (median, 83.75; Q1-Q3, 67.25-97.67). A flowchart of the literature selection process is shown in eFigure 1 in the Supplement. A list of the included studies and their baseline characteristics is presented in the eReferences and eTable 3 in the Supplement. The results of the literature quality assessment are presented in eTable 2 and eFigure 2 in the Supplement.

Model Establishment and Assessment

Because just 10 studies reported data beyond 36 weeks, only data gathered within 36 weeks were analyzed for model reliability reasons. After covariate screening, we found that baseline scores of WOMAC pain, stiffness, and function were significantly associated with the theoretical maximal placebo response. The model parameter estimations and their relative SEs are listed in Table 1. Detailed final model results can be found in the eResults in the Supplement.

Table 1. Parameter Estimations and Bootstrap Results of the Final Model.

Parametera WOMAC pain WOMAC stiffness WOMAC function
Estimates (RSE %) Bootstrap median (90% CI) Estimates (RSE %) Bootstrap median (90% CI) Estimates (RSE %) Bootstrap median (90% CI)
Pharmacodynamic parameters
Emax 4.73 (7.20) 4.74 (4.20-5.35) 1.76 (8.80) 1.77 (1.51-2.04) 13.2 (9.70) 13.2 (11.2-15.4)
K 0.427 (15.0) 0.430 (0.322-0.565) 0.327 (19.7) 0.320 (0.229-0.428) 0.325 (17.8) 0.324 (0.243-0.456)
Covariate parameters
θbaseline 0.0646 (17.8) 0.0649 (0.0476-0.0852) 0.0836 (19.4) 0.0870 (0.0418-0.135) 0.0140 (22.3) 0.0142 (0.00740-0.0208)
Random effect
ηEmax 3.56 (7.10) 3.49 (3.09-3.93) 1.41 (8.90) 1.38 (1.18-1.61) 11.8 (10.5) 11.7 (9.58-13.9)
ηk, % 83.2 (15.3) 81.5 (56.9-107) 109 (13.4) 110 (81.4-148) 93.7 (13.9) 93.0 (68.0-114)
Residual error
ε 3.92 (11.2) 3.91 (3.19-4.63) 1.74 (10.9) 1.71 (1.42-2.04) 12.4 (13.2) 12.2 (9.75-15.0)

Abbreviations: Emax, theoretical maximal placebo response; ε, residual variabilities in the placebo response; K, onset rate of the placebo response; η, interstudy variabilities in parameters; θ, covariate effect parameter; RSE, relative SE; WOMAC, Western Ontario and McMaster Universities Osteoarthritis Index.

a

A larger K value indicates a faster onset of response. A larger θ value indicates a more significant covariate effect.

The goodness-of-fit plots of the final model showed that the model fit the observed data well (eFigure 3 in the Supplement). The visual predictive check results showed that the 90% CI of the placebo response derived from the model simulations covered most of the observed data (Figure 1), suggesting that the model had good predictability. The median of the model parameters obtained using the bootstrap method was close to the original estimations, suggesting that the model was stable (Table 1).

Figure 1. The Visual Predictive Check Plot of the Final Model.

Figure 1.

Points represent observed data, and symbol size is proportional to sample size. Lines are the predicted median of the 5th, 50th, and 95th percentiles of the placebo response obtained by visual predictive check for the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) pain (A), stiffness (B), and function (C) scales.

Typical Placebo Response Analysis

The typical placebo response and 90% CI for each WOMAC subscale were simulated over 36 weeks at different baseline levels (Table 2 and Figure 2). Table 2 indicates that the higher the baseline score on the WOMAC subscale, the greater the placebo response. Specifically, when the baseline WOMAC pain scores were 15, 25, and 35 (equivalent to scores of 6, 10, and 14 on the 0- to 4-point Likert WOMAC scale), after 8 weeks of placebo intervention, the WOMAC pain score decreased by 1.62 (10.8% of the baseline score), 4.57 (18.3% of the baseline score), and 7.53 (22.1% of the baseline score). Similarly, when the baseline WOMAC stiffness scores were 5, 10, and 15 (equivalent to scores of 2, 4, and 6 on the 0- to 4-point Likert WOMAC scale), after 8 weeks of placebo intervention, the WOMAC stiffness score decreased by 0.92 (18.4% of the baseline score), 1.60 (16.0% of the baseline score), and 2.28 (15.2% of the baseline score). When the baseline WOMAC function scores were 37.5, 75.0, and 112.5 (equivalent to scores of 15, 30, and 45 on the 0- to 4-point Likert WOMAC scale), after 8 weeks of placebo intervention, the WOMAC function scores decreased by 4.31 (11.5% of the baseline score), 10.72 (14.3% of the baseline score), and 17.14 (15.2% of the baseline score). In addition, we found that the placebo response of the WOMAC subscales reached an efficacy plateau (90% of their maximum response) at 5.39 weeks for the pain scale, 7.04 weeks for the fitness scale, and 7.08 weeks for the function scale (eFigure 4 in the Supplement).

Table 2. Model-Estimated Placebo Response at Different Time Pointsa.

Baseline WOMAC scores Differences over time, typical response (90% CI)
6 Weeks 8 Weeks 12 Weeks 24 Weeks 36 Weeks
Pain
15 −1.55 (−1.73 to −1.33) −1.62 (−1.81 to −1.41) −1.66 (−1.86 to −1.46) −1.67 (−1.87 to −1.48) −1.67 (−1.87 to −1.47)
25 −4.37 (−4.91 to −3.76) −4.57 (−5.12 to −4.00) −4.70 (−5.24 to −4.14) −4.73 (−5.29 to −4.16) −4.73 (−5.29 to −4.19)
35 −7.18 (−8.08 to −6.17) −7.53 (−8.41 to −6.57) −7.74 (−8.66 to −6.82) −7.79 (−8.71 to −6.85) −7.79 (−8.68 to −6.84)
Stiffness
5 −0.85 (−0.99 to −0.68) −0.92 (−1.06 to −0.76) −0.97 (−1.11 to −0.82) −0.99 (−1.13 to −0.85) −0.99 (−1.14 to −0.85)
10 −1.48 (−1.73 to −1.18) −1.60 (−1.85 to −1.31) −1.69 (−1.93 to −1.42) −1.73 (−1.98 to −1.47) −1.73 (−1.98 to −1.47)
15 −2.12 (−2.47 to −1.69) −2.28 (−2.63 to −1.88) −2.41 (−2.76 to −2.04) −2.46 (−2.82 to −2.11) −2.46 (−2.82 to −2.11)
Function
37.5 −3.99 (−4.71 to −3.21) −4.31 (−5.03 to −3.52) −4.56 (−5.26 to −3.79) −4.65 (−5.39 to −3.91) −4.65 (−5.39 to −3.91)
75.0 −9.94 (−11.69 to −7.93) −10.72 (−12.47 to −8.81) −11.35 (−13.15 to −9.42) −11.58 (−13.43 to −9.74) −11.58 (−13.44 to −9.68)
112.5 −15.88 (−18.66 to −12.66) −17.14 (−19.94 to −14.00) −18.14 (−20.98 to −15.16) −18.51 (−21.47 to −15.50) −18.51 (−21.45 to −15.54)

Abbreviation: WOMAC, Western Ontario and McMaster Universities Osteoarthritis Index.

a

The placebo response was simulated for different WOMAC indicators at 3 baselines, which represent patients with low, medium, and high symptoms. WOMAC pain scores of 15, 25, and 35 were equivalent to 6, 10, and 14, respectively, on a 0- to 4-point Likert scale. WOMAC stiffness scores of 5, 10, and 15 were equivalent to 2, 4, and 6, respectively, on a 0- to 4-point Likert scale. WOMAC function scores of 37.5, 75.0, and 112.5 were equivalent to 15, 30, and 45, respectively, on a 0- to 4-point Likert scale.

Figure 2. The Typical Placebo Pure Response and Its 90% CI of Different Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) Subscales Under Different Baseline Levels.

Figure 2.

Placebo responses for the WOMAC pain (A), stiffness (B), and function (C) scales. The solid lines represent the typical placebo pure response, the shaded areas represent the 90% CI, and the different colors represent different baseline levels.

Subgroup analyses (Figure 3 and eFigure 6 in the Supplement) revealed that a larger sample size was significantly associated with higher placebo responses for all the WOMAC subscales. The placebo response on WOMAC function in NSAIDs, diacerein, and acetaminophen (paracetamol) trials tended to be higher than that in herbal and plant extract trials. A slightly higher placebo response was observed in trials with less than 50% previous NSAID use in patients compared with trials in which NSAIDs use was 50% or more. A trend toward higher placebo responses can also be found in the literature published from 2011 to 2022 in the subgroup analysis of publication year. However, no trends were found in other subgroups, including the dosage forms of the placebo (caplet, tablet, or pill vs powder, package, or granule), The K-L grades (K-L 1-2 vs K-L≥2), and race and ethnicity of participants (White individuals <85% vs those of all other racial and ethnic groups >85%), because the 90% CI of their typical placebo response between the subgroups overlapped completely.

Figure 3. The Results of the Subgroup Analyses of the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) Scale.

Figure 3.

A, The interventions category subgroup. B, The placebo dosage form subgroup. C, The Kellgren-Lawrence (K-L) grades subgroup. D, The proportion of patients in the prior nonsteroidal anti-inflammatory drug (NSAID) use subgroup. The solid lines are the 50% quartiles of the simulated placebo pure response, the shaded areas are the 90% CI of the placebo pure response, and different colors represent different subscale levels.

Discussion

Based on extensive data obtained from the OA clinical trials of 130 publications (12 673 participants), this study described the time-course characteristics of the placebo response of oral administration on WOMAC pain, stiffness, and function scores using the MBMA method. The results showed that the time required to reach the efficacy plateau (the time required to reach 90% of the maximum efficacy) for WOMAC subscales was 5.39 weeks for the pain scale, 7.04 weeks for the fitness scale, and 7.08 weeks for the function scale. The present results suggest that in OA clinical trials using the WOMAC subscales as the primary outcome, the treatment duration should be not less than 8 weeks because it is helpful to accurately evaluate the efficacy of the drugs when the placebo response tends to be stable. In the US and Europe, regulators consider medications that relieve OA symptoms to be long-term treatments. Currently, the Osteoarthritis Research Society International recommends that critical double-blind randomized clinical trials should last at least 12 weeks for hip OA.19 The proposed treatment duration is reasonable and can be used to evaluate the true efficacy of the drugs.

We found that the baseline subscale scores of WOMAC pain, stiffness, and function were associated with symptom improvement after the placebo intervention. Although similar results have been reported in previous studies, our study accurately quantified this association. When the baseline WOMAC pain scores were 15, 25, and 35 the pain score decreased by 1.62, 4.57, and 7.53, When the baseline WOMAC stiffness scores were 5, 10, and 15, the score decreased by 0.92, 1.60, and 2.28. When the baseline WOMAC function scores were 37.5, 75, and 112.5 scores decreased by 4.31, 10.72, and 17.14. These results provide accurate response sizes for the placebo group when estimating the sample size of placebo-controlled trials.

This study also found that the sample size was associated with the placebo response, especially for the WOMAC function scale, as the placebo response was significantly higher in trials with a sample size greater than 50 compared with those with a sample size less than 50. This result is in line with previous findings10,20 that sample size might be positively correlated with the placebo response. The placebo response was relatively small in clinical trials with smaller sample sizes, which could be due to publication bias.21 To our knowledge, trials with negative results (usually with large placebo responses) have not been reported, resulting in an overall low placebo response. In contrast, however, clinical trials with large samples (usually multicenter) often result in larger placebo effects owing to the greater difficulty of tightly controlling the quality of outcome assessment between centers. Therefore, sample size is an important factor that should be considered when designing trials.22,23

A previous study found that the placebo response to hormonal drugs in the treatment of menopausal hot flashes was significantly higher than that of nonhormonal drugs.24 In this study, we also found that the placebo response in trials of high-efficacy drugs, such as NSAIDs, diacerein, and acetaminophen, was higher intensity than that of low-efficacy drugs, such as herbals and plant extracts, and the difference was most obvious in WOMAC function. The results suggest that participants’ psychological expectation of the tested efficacy of the drugs are associated with the placebo response, which should be considered in OA clinical trials to prevent abnormal fluctuations in the placebo response. We also found that the placebo response was more obvious in trials with a lower proportion of patients using NSAIDs, suggesting that previous NSAID use could reduce the placebo response.

In this study, placebo responses using different dosage forms were compared. The results showed that the placebo responses between caplet, tablet, pill, and powder, package, and granule were highly overlapping; this overlap suggests that different dosage forms are not associated with the placebo response of oral administration. We also found that the K-L grade was not associated with the placebo response of WOMAC pain and stiffness owing to insufficient data, which could be evaluated in further OA clinical trials. In addition, this study also found no significant differences between the White population vs individuals of other races and ethnicities in placebo responses in OA clinical trials.

It has been reported that the placebo response in antidepressant clinical trials is increasing annually,25 but whether the placebo response in OA clinical trials changes with the year of publication is yet to be determined. In our subgroup analyses of publication year, studies found a trend toward a higher placebo response in the past 10 years. In recent years, with the improvement of medical care and the increasing proportion of trial funding by pharmaceutical enterprises, the natural progression of the disease and the psychological effects of patients may be affected, which may lead to an increase in various coupling effects and would be reflected in the final placebo response.

We also performed an exploratory analysis of the possible associations between the duration of OA, source of funding, risk of bias, and pharmacodynamic model parameters (theoretical maximal placebo response, onset rate of the placebo response) of WOMAC for pain, stiffness, and function (eFigure 5 in the Supplement). We did not find a significant association between the model parameters, funder, or risk of bias. In addition to this, owing to the high rate of missing data (>40%), the results related to the duration of OA are for reference only, and more data would be needed to draw reliable conclusions about the association.

Strengths and Limitations

The inclusion of double-blind randomized trials with a low risk of bias in our MBMA provided evidence for the quantitative evaluation of oral placebo response-influencing factors. However, this study had some limitations. First, Abhishek and Doherty26 suggested that in randomized clinical trials, placebo responses can be objectively measured only when both a placebo and a nontreatment control group are present. However, because most randomized clinical trials do not have a no treatment group, we could not estimate the true placebo response, and the placebo response observed in this study includes the natural progression of the disease and the regression to the mean. Second, because the modeling in this study was based on literature data, many covariates (eg, different affected joints, the number of questionnaires, the time and attention that the study staff devoted to the participants, and how patient responses were obtained) have not been reported, making it impossible to fully explore the factors influencing the placebo response in OA trials. In addition, because summary-level covariate analyses are prone to ecological fallacy, the covariates of the placebo responses found in this study should be further confirmed by individual-level data. Third, this study only analyzed the response to an orally administered placebo quantitatively; therefore, the findings cannot be extrapolated to other OA treatment routes. Fourth, limited by the amount of data collected, this study only analyzed 3 WOMAC subscales, and other efficacy indicators, such as visual analog scale, could not establish a stable model and would need to be investigated after further data accumulation. Fifth, most of the published studies were funded by commercial corporations, leading to a high risk of other biases in the literature quality evaluation.

Conclusions

This study presents a possible oral placebo response model of OA, which may be used as a tool to evaluate placebo responses at different baseline levels of symptoms. The findings may provide valuable references for clinical trial design and decision-making.

Supplement.

eMethods 1. Inclusion and Exclusion Criteria and Data Extraction

eMethods 2. Risk Assessment of Bias

eMethods 3. Model Building

eMethods 4. Model Assessment Method: VPC and Bootstrap

eMethods 5. Model NONMEM Codes

eTable 1. Search Strategy

eTable 2. The List of Included Studies

eTable 3. The Results of the Literature Assessment

eTable 4. Summary of the Baseline Characteristics of the Included Studies

eFigure 1. Flow Chart of the Literature Selection

eFigure 2. The Summary of Literature Assessment

eFigure 3. A to D The Model Diagnostic Plots

eFigure 4. The Plot of the Time Taken to Reach the Maximum Effect for Each WOMAC Subscale

eFigure 5. The Plot of Parameters and Partial Covariate Correlations

eResults 1. Parameter Estimations Results of the Final Model

eFigure 6. The Results of the Subgroup Analyses of the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) Scale for Sample Size, Patients of White Race, and Publication Year

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Supplementary Materials

Supplement.

eMethods 1. Inclusion and Exclusion Criteria and Data Extraction

eMethods 2. Risk Assessment of Bias

eMethods 3. Model Building

eMethods 4. Model Assessment Method: VPC and Bootstrap

eMethods 5. Model NONMEM Codes

eTable 1. Search Strategy

eTable 2. The List of Included Studies

eTable 3. The Results of the Literature Assessment

eTable 4. Summary of the Baseline Characteristics of the Included Studies

eFigure 1. Flow Chart of the Literature Selection

eFigure 2. The Summary of Literature Assessment

eFigure 3. A to D The Model Diagnostic Plots

eFigure 4. The Plot of the Time Taken to Reach the Maximum Effect for Each WOMAC Subscale

eFigure 5. The Plot of Parameters and Partial Covariate Correlations

eResults 1. Parameter Estimations Results of the Final Model

eFigure 6. The Results of the Subgroup Analyses of the Western Ontario and McMaster Universities Osteoarthritis Index (WOMAC) Scale for Sample Size, Patients of White Race, and Publication Year


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