Does evidence support the high expectations placed in precision medicine? A bibliographic review
Open accessAbstract
Background : Precision medicine is the Holy Grail of interventions that are tailored to a patient’s individual characteristics. However, conventional clinical trials are designed to find differences in averages, and interpreting these differences depends on untestable assumptions. Although ideal, a constant effect would facilitate individual management. Another consequence of a constant effect is that the outcome variance would be the same in treated and control arms. We reviewed the literature to explore the similarity of these variances as a foundation for examining whether and how often precision medicine is definitively needed. Methods : We reviewed parallel trials with quantitative outcomes published in 2004, 2007, 2010 and 2013. We collected baseline and final standard deviations of the main outcome. We assessed homoscedasticity by comparing the variance of the primary endpoint between arms through the outcome variance ratio (treated to control group). Results : The review provided 208 articles with enough information to conduct the analysis. One out of seven studies (n = 30, 14.4%) had statistically different variances between groups, leading a non-constant-effect. The adjusted point estimate of the mean outcome variance ratio (treated to control group) is 0.89 (95% CI 0.81 to 0.97). Conclusions : We found that the outcome variance was more often smaller in the intervention group, suggesting that treated patients may end up pertaining more often to reference values. This observed reduction in variance might also imply that there could be a subgroup of less ill patients who derive no benefit, which would require studying whether the effect merits enduring the side effects as well as the economic costs. We have shown that the comparison of variances is a useful but not definitive tool for assessing whether or not the assumption of a constant effect holds.
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Written from the paper’s full text.
TL;DR
This bibliographic review of 208 parallel randomized trials found that outcome variance was usually similar or lower in treated arms, with an adjusted mean treated-to-control variance ratio of 0.89 (95% CI 0.81 to 0.97). The author concludes that evidence for non-constant treatment effects—and thus a broad need for precision medicine—may be less common than often assumed.
Key findings
- The adjusted mean outcome variance ratio (treated to control) was 0.89 (95% CI 0.81 to 0.97), suggesting treatments reduced response variability by about 11% on average.
- One out of five studies (n = 40, 19.2%) had statistically different variances between groups; classical variance tests found 41/208 (19.7%) with significant differences, with 15 (7.2%) showing greater variance in the treated arm and 26 (12.5%) showing lower variance.
- At trial end, 113/208 (54%, 95% CI 47 to 61%) had less variability in treated arms; among treated arms, 111/208 (53%, 95% CI 46 to 60%) had less or equal variability at follow-up than at baseline.
- Over-time comparison showed average variability at study end was 14% lower than at baseline; among 95 treated arms, 16.8% had significantly greater variability at the end and 23.2% had greater variability at the beginning.
Methods
- Bibliographic review of parallel clinical trials with numerical primary endpoints published in 2004, 2007, 2010, and 2013, identified via Medline; 1,214 articles were retrieved, 542 met target-population criteria, and 208 contained enough information for analysis.
- Baseline and final standard deviations of the main outcome were collected; homoscedasticity was assessed by comparing the primary-endpoint variance between arms via the outcome variance ratio (treated to control) and over time in the treated arm.
- Main analysis used a random-effects model on the log outcome variance ratio with baseline variance ratio as a fixed effect, plus heuristic removal of discrepant studies, classical variance tests (F-test and paired test), and subgroup analyses; analyses used R version 3.2.5.
Limitations
- The paper states that findings do not invalidate precision medicine in all settings: some studies showed glaringly different variability, surgery outcomes may be influenced by operator skill, and the study is limited to numerical endpoints, excluding time-to-event or categorical outcomes.
- The paper states reliance on published articles raises issues: Normality assumptions are unverifiable without raw data; 61.6% of manuscripts did not report variability contrary to CONSORT advice, so included studies may not be representative; trials are usually powered for constant effects, so greater variability could reduce power and publication; heterogeneity may reflect methodological inaccuracies or undetected treatment interactions; and many trials are not completely randomized (e.g., permuted blocks).
- The paper states its main limitation: a constant effect always implies homoscedasticity on the chosen scale, but homoscedasticity does not necessarily imply a constant effect.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
0 of 12 cited sources checked · 0 supported · 0 flagged
- Findingown data
The mean variance ratio is significantly lower than 1.
“The mean variance ratio is significantly lower than 1”
Quote in the paperSubstantial claim - Findingown data
Among the treated arms, 111/208 (53%, 95% CI, 46 to 60%) had less or equal variability at the end of follow-up than at the beginning.
“Among the treated arms, 111/208 (53%, 95% CI, 46 to 60%) had less or equal variability at the end of follow-up than at the beginning”
Quote in the paperNot a substantial claim - Findingnone given
Several of these interventions yielded significant results in the main endpoint.
“In addition, several of these interventions yielded significant results in the main endpoint.”
Quote in the paperNot a substantial claim - Findingown data
Lower variances in the treated arm occur only in outcomes for which a positive response is defined as a decrease from baseline.
“Even more importantly, lower variances in the treated arm occur only in outcomes for which a positive response is defined as a decrease from baseline.”
Quote in the paperNot a substantial claim - Findingown data
In the random-effects model, the adjusted mean outcome variance ratio for comparison between treated and control arms is 0.89 (95% CI 0.81 to 0.97).
“Based on the random-effects model ( Supplementary File 1: Table S4, model 3 with CDB) the adjusted point estimate of the mean outcome variance ratio for comparison between arms (Treated to Control group) is 0.89 (95% CI 0.81 to 0.97).”
Quote in the paperSubstantial claim
- Findingown data
When modeling the outcome instead of the baseline variances as the response, estimated heterogeneity (τ=0.55) was almost doubled.
“When we modeled the outcome instead of the baseline variances as the response, estimated heterogeneity (τ^=0.55) was almost doubled ( Supplementary File 1 : Table S4, Model 6 with CDB).”
Quote in the paperSubstantial claim - Findingown data
In descriptive terms, the average of the outcome variance ratio is 0.94, reflecting lower variability in the treated arm.
“In descriptive terms, the average of the outcome variance ratio is 0.94, reflecting lower variability in the treated arm.”
Quote in the paperNot a substantial claim - Findingown data
Lower variance was found more often in the intervention group than in the control group.
“the lower variance was found more often in the intervention group than in the control group”
Quote in the paperSubstantial claim - Findingown data
All analyses of those 10 trials intended to estimate just an average effect with no indication of any possible interaction with baseline variables.
“all their analyses intended to estimate just an average effect with no indication of any possible interaction with baseline variables”
Quote in the paperSubstantial claim - Findingown data
The sensitivity analysis of the change over time in the treated arm agreed with the findings in the comparison between arms.
“The sensitivity analysis of the change over time in the treated arm agreed with the findings in the comparison between arms, although this comparison is not protected by randomization.”
Quote in the paperNot a substantial claim - Findingown data
Evidence of effect variation was found in only 1 out of 5 trials (40/208).
“That is, we have found evidence of effect variation in only 1 out of 5 trials (40/208), suggesting a limited role for tailored interventions.”
Quote in the paperSubstantial claim - Findingown data
Subgroup analyses suggest that significant interventions had an effect on reducing variability.
“Subgroup analyses suggest that significant interventions had an effect on reducing variability ( Supplementary File 1 : Figures S5–S7), a fact which has already been observed in other studies 25, 26.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [25] S Senn, 2004, Controversies concerning randomization and additivity in clinical trials., Stat Med. source
Not checked in the free run.
- cites [26] J Jamieson, 1995, Measurement of change and the law of initial values: A computer simulation study., Educ Psychol Meas. source
Not checked in the free run.
- Findingown data
Those 10 trials did not discuss any random variability for the treatment effect.
“nor did they discuss any random variability for the treatment effect”
Quote in the paperSubstantial claim - Findingown data
Exclusion of the four most extreme papers reduced the estimated baseline heterogeneity from 0.31 to 0.07.
“Fortunately, the exclusion of the four most extreme papers reduced it to 0.07 ( Supplementary File 1 : Table S4, Model 1 with RDB); one of these was the study by Hsieh et al. 24, whose “baseline” values were obtained 1 month after the treatment started.”
Quote in the paperSubstantial claim - Findingown data
At the end of the study, 113/208 (54%, 95% CI, 47 to 61%) papers showed less variability in the treated arms.
“At the end of the study, 113/208 (54%, 95% CI, 47 to 61%) papers showed less variability in the treated arms”
Quote in the paperNot a substantial claim - Findingown data
The largest number of points on the left side indicates a majority of experimental interventions reduce variability.
“The largest number of points on the left side indicates a majority of experimental interventions that reduce variability.”
Quote in the paperNot a substantial claim - Findingown data
Eleven (5.2%) out of 208 studies reported exactly the same outcome variability in both arms.
“Eleven (5.2%) out of 208 studies reported exactly the same outcome variability in both arms.”
Quote in the paperNot a substantial claim - Findingown data
In the over-time comparison, the average variability at the end of the studies is 14% lower than at the beginning.
“As for the comparison over time ( Supplementary File 1 : Table S4, Model 6 with CDO), the average variability at the end of the studies is 14% lower than that at the beginning.”
Quote in the paperNot a substantial claim - Findingown data
The 10 clinical trials published by the journal Trials in October 2017 were designed without explicitly allowing for an effect that was not constant within the study population.
“the 10 clinical trials published by the journal Trials in October 2017 ( Supplementary File 1: Table S1) were designed without explicitly allowing for an effect that was not constant within the study population.”
Quote in the paperNot a substantial claim - Findingown data
Forty of 208 studies (19.2%) had statistically different variances between groups.
“One out of five studies (n = 40, 19.2%) had statistically different variances between groups”
Quote in the paperSubstantial claim - Findingown data
The adjusted point estimate of the mean outcome variance ratio (treated to control group) is 0.89 (95% CI 0.81 to 0.97).
“The adjusted point estimate of the mean outcome variance ratio (treated to control group) is 0.89 (95% CI 0.81 to 0.97).”
Quote in the paperSubstantial claim - Findingown data
In studies with outcomes that measure the degree of healthiness, the average variances match between arms.
“However, in the studies with outcomes that measure the degree of healthiness (high values imply better condition; e.g., mobility), the average variances match between arms, and this does not suggest a ceiling effect.”
Quote in the paperSubstantial claim - Findingown data
A high number of manuscripts (61.6%, Figure 2) act contrary to CONSORT advice in that they do not report variability.
“Second, a high number of manuscripts (61.6%, Figure 2) act contrary to CONSORT 30 advice in that they do not report variability.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites [30] K Rothman, 1980, Concepts of interaction., Am J Epidemiol. source
Not checked in the free run.
- Findingnone given
For most trials, the variability of the response to treatment scarcely changes or even decreases.
“In summary, for most trials, the variability of the response to treatment scarcely changes or even decreases.”
Quote in the paperSubstantial claim - Findingown data
In studies with outcomes that indicate the degree of disease, a greater variance (25%) is obtained in the treated arm.
“In fact, according to the subgroup analysis of the studies with outcomes that indicate the degree of disease (high values imply greater severity; e.g., pain), a greater variance (25%) is obtained in the treated arm (see Figure S5).”
Quote in the paperNot a substantial claim - Premisereasoning
A constant treatment effect implies that the outcome variance is the same in the treated and control arms.
“A direct consequence of a constant effect is that the variance of the outcome measure would be the same in the treated and control arms.”
- Also stated in: § Introduction · plain
“One observable consequence of a constant effect is that the treatment will not affect variability, and therefore the outcome variances in both arms should be equal (“homoscedasticity”).”
Quote in the paperSubstantial claim - Also stated in: § Introduction · plain
- Premisenone given
In a parallel group trial, for each patient only one of the two potential outcomes can be observed.
“The fundamental problem of causal inference is that for each patient in a parallel group trial, we can know the outcome for only one of the interventions.”
Quote in the paperSubstantial claim - Interpretationreasoning
The treatment seems to be doing what medicine should do: having larger effects in the most ill patients.
“Therefore, the treatment seems to be doing what medicine should do: having larger effects in the most ill patients.”
Quote in the paperSubstantial claim - Premisereasoning
All scenarios other than a constant effect require additional parameters to fully specify the treatment effect.
“All other scenarios ( Figure 1, Panels C to F) require additional parameters to fully specify the treatment effect.”
Quote in the paperSubstantial claim - Premisecitation
There is a positive correlation between effect size and its heteroscedasticity.
“This is in line with other works that have found a positive correlation between the effect size and its heteroscedasticity 27, 28.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites [27] S Senn, 2007, Trying to be precise about vagueness., Stat Med. source
Not checked in the free run.
- cites [28] N Greenlaw, 2010, Constructing appropriate models for meta-analyses
Not checked in the free run.
- Interpretationown data
Treatments tend to reduce the variability of the patient's response by about 11% on average.
“This indicates that treatments tend to reduce the variability of the patient's response by about 11% on average.”
Quote in the paperSubstantial claim - Premisereasoning
Randomization allows a clinical trial to estimate the averaged causal effect by controlling unknown confounders.
“By experimentally controlling unknown confounders through randomization, a clinical trial may estimate the averaged causal effect.”
Quote in the paperSubstantial claim - Interpretationreasoning
If the treatment effect is constant, searching for predictors of differential response is futile.
“When both arms have equal variances, then a simple and believable interpretation is that the treatment effect is constant, which, if correct, would render futile any search for predictors of differential response.”
Quote in the paperNot a substantial claim - Premisereasoning
The variability of a clinical trial outcome measure conveys important information about whether or not precision medicine is achievable.
“The variability of a clinical trial outcome measure is relevant because it conveys important information about whether or not precision medicine is achievable.”
Quote in the paperSubstantial claim - Interpretationreasoning
Statistically different variances between groups imply a non-constant treatment effect.
“implying a non-constant-effect”
Quote in the paperSubstantial claim - Premisereasoning
Translating a population average treatment effect into effects for individual patients requires additional assumptions.
“In order to translate this population estimate into effects for individual patients, additional assumptions are needed.”
Quote in the paperSubstantial claim - Study design and conductreasoning
The comparison over time in the treated arm is not protected by randomization.
“The sensitivity analysis of the change over time in the treated arm agreed with the findings in the comparison between arms, although this comparison is not protected by randomization.”
Quote in the paperNot a substantial claim - Interpretationreasoning
It is more usual for treated patients to be stable.
“suggesting it is more usual for treated patients to be stable”
Quote in the paperSubstantial claim- Rests on an assumption: The 208 analyzed trials are representative of parallel randomized controlled trials in medical journals.
- Interpretationnone given
It is difficult to find heteroscedasticity when there is no overall treatment effect.
“The fact is that it is difficult to find heteroscedasticity when there is no overall treatment effect.”
Quote in the paperNot a substantial claim - Premisecitation
Many clinical trials are not completely randomized.
“A fifth limitation is that many clinical trials are not completely randomized. For example, multicenter trials often use a permuted blocks method. This means that if variances are calculated as if the trial were completely randomized (which is standard practice), the standard simple theory covering the random variation of variances from arm to arm is at best approximately true 25”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [25] S Senn, 2004, Controversies concerning randomization and additivity in clinical trials., Stat Med. source
Not checked in the free run.
- Interpretationreasoning
Taking into account the limitation in Figure 4, the scope of precision medicine may be less than what is commonly assumed.
“Thus, if we take into account the limitation previously explained in Figure 4, this suggests that the scope of precision medicine may be less than what is commonly assumed.”
Quote in the paperSubstantial claim - Interpretationown data
The matching average variances between arms in studies with outcomes measuring degree of healthiness do not suggest a ceiling effect.
“However, in the studies with outcomes that measure the degree of healthiness (high values imply better condition; e.g., mobility), the average variances match between arms, and this does not suggest a ceiling effect.”
Quote in the paperSubstantial claim - Interpretationreasoning
The constant effect assumption is reasonable in most published parallel randomized controlled trials.
“Here, we have provided empirical insights to postulate that such a premise is reasonable in most published parallel randomized controlled trials.”
Quote in the paperSubstantial claim - Interpretationreasoning
Even where one common effect applies to all patients fulfilling the eligibility criteria, this does not imply that the same decision is optimal for all patients.
“However, even where one common effect applies to all patients fulfilling the eligibility criteria, this does not imply that the same decision is optimal for all patients.”
Quote in the paperNot a substantial claim - Study design and conductcitation
If variances are calculated as if the trial were completely randomized, the standard simple theory covering random variation of variances from arm to arm is at best approximately true.
“A fifth limitation is that many clinical trials are not completely randomized. For example, multicenter trials often use a permuted blocks method. This means that if variances are calculated as if the trial were completely randomized (which is standard practice), the standard simple theory covering the random variation of variances from arm to arm is at best approximately true 25”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [25] S Senn, 2004, Controversies concerning randomization and additivity in clinical trials., Stat Med. source
Not checked in the free run.
- Study design and conductreasoning
Some of the analyses are based on Normality assumptions that are unverifiable without access to raw data.
“First, some of our analyses are based on Normality assumptions that are unverifiable without access to raw data.”
Quote in the paperNot a substantial claim- The authors state this as an assumption: The Normality assumptions underlying some of the analyses hold.
- Interpretationreasoning
The included studies may not be representative.
“Thus, the included studies may not be representative.”
Quote in the paperSubstantial claim
- May combine two claims. 19
- Classified as probably not a substantial claim. 20
May combine two claims.
Findingown dataThe heuristic analysis found 30 studies that compromised homoscedasticity: 11 (5.3%) with higher variance in the treated arm and 19 (9.1%) with lower variance.
“We found 30 studies that compromised homoscedasticity: 11 (5.3%) with higher variance in the treated arm and 19 (9.1%), with lower variance (see heuristic method in Table 1).”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Findingown dataMore red points on the left indicate that changes in the average accompany reductions in the variance.
“We observe more red points on the left, indicating that changes in the average accompany reductions in the variance.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataIn the over-time comparison, studies to the right have significantly higher variance at the end of the study in the treated group, while those on the left are significantly larger at the beginning.
“As for the over-time comparison, the studies to the right have a significantly higher variance at the end of the study in the treated group, while those on the left are significantly larger at the beginning of the study.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataBased on classical variance comparison tests, 41 studies (19.7%) had statistically significant differences between outcome variances; 15 (7.2%) favored greater variance in the treated arm; and 26 (12.5%) were in the opposite direction.
“Based on the classical variance comparison tests (sensitivity analysis), these figures were slightly higher: 41 studies (19.7%) had statistically significant differences between outcome variances; 15 (7.2%) favored greater variance in the treated arm; and 26 (12.5%) were in the opposite direction.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataIn the random-effects model, among 208 studies comparing outcome between treatment arms, 14 (6.7%) had increased variability, 26 (12.5%) decreased, and 168 (80.8%) not changed.
“Outcome between treatment arms | 208 | Random-effects model | 14(6.7%) | 26 (12.5%) | 168(80.8%)”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataIn comparisons over time of 95 treated arms, 16.8% had significantly greater variability at the end of the study and 23.2% at the beginning.
“Larger proportions were obtained from the comparisons over time of 95 treated arms: 16.8% had significantly greater variability at the end of the study and 23.2% at the beginning.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe review included 208 articles with enough information to conduct the analysis.
“The review provided 208 articles with enough information to conduct the analysis.”
- Also stated in: § Population · plain
“208 (17.1%) contained enough information to enable us to conduct the analysis”
Quote in the paperSubstantial claim- Also stated in: § Population · plain
May combine two claims.
Findingown dataIn the between-arm comparison, studies to the right of the triangle have variances significantly larger in the treatment arm than in the control arm, while those on the left are significantly larger in the control arm.
“In the between-arm comparison, the studies (represented by the circles) to the right of the triangle have variances that are significantly larger in the treatment arm than in the control arm, while those on the left are significantly larger in the control arm.”
Quote in the paperNot a substantial claimMay combine two claims.
Findingown dataThe estimated baseline heterogeneity (τ2) was 0.31, which is a very high value.
“The second heuristic analysis was motivated by the fact that the estimated baseline heterogeneity (τ 2) was 0.31 ( Supplementary File 1 : Table S4, Model 1 with CDB), which is a very high value that could be explained by methodological flaws similar to those presented by Carlisle 23.”
Quote in the paperSubstantial claimMay combine two claims.
Findingown dataVariability seems to decrease for treatments that perform significantly better than the reference; otherwise, it remains similar.
“Regarding the subgroup analyses, we found that variability seems to decrease for treatments that perform significantly better than the reference; otherwise, it remains similar.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S4 (based).
Findingnone givenThere are studies where the variability in the response is glaringly different, indicating the presence of a non-constant effect.
“First, there are studies where the variability in the response is glaringly different, indicating the presence of a non-constant effect.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningWithout further specifications, it seems those trials were either hoping for the treatment effect to be the same for all patients or assuming that it was not useful to try and investigate this.
“Therefore, without further specifications, it seems that they were either hoping for the treatment effect to be the same for all patients or assuming that it was not useful to try and investigate this.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
Study design and conductnone givenWhen studies reported more than one numerical endpoint and failed to clarify the primary endpoint, the primary endpoint was determined using hierarchical criteria.
“For studies that reported more than one numerical endpoint and failed to clarify which endpoint was the primary endpoint, the latter was determined using the following hierarchical criteria: (1) objective or hypothesis; (2) sample size determination; (3) main statistical method; (4) first numerical variable reported in results.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Study design and conductown dataData were collected by two researchers and later verified by two statisticians.
“Data were collected by two researchers (NM, MkV) in two phases: 2004/2007 and 2010/2013. Later, two statisticians (JC, MtV) verified the data and made them accessible to readers through a Shiny application and through the Figshare repository 18.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
PremisereasoningThe baseline variance ratio is expected to have heterogeneity equal to 0 due to randomization, provided no methodological impurities are present.
“we first modeled the baseline variance ratio as a response that is expected to have heterogeneity equal to 0 due to randomization – provided no methodological impurities are present”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S4 (based).
Interpretationnone givenWhen both arms have equal variances, the treatment effect is constant.
“When both arms have equal variances, then a simple and believable interpretation is that the treatment effect is constant, which, if correct, would render futile any search for predictors of differential response.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningThe existence of eligibility criteria at baseline may have limited the initial variance, leading to the variance increasing naturally over time.
“For example, the existence of eligibility criteria at baseline may have limited the initial variance (a hypertension trial might recruit patients with baseline SBP between 140 and 159 mm Hg), leading to the variance increasing naturally over time.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
PremisecitationThe constant effect assumption makes the average causal effect relevant to each patient.
“Following Holland 13, this assumption has the advantage of making the average causal effect relevant to each patient.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [13] R Wang, 2007, Statistics in medicine--reporting of subgroup analyses in clinical trials., N Engl J Med. source
Not checked in the free run.
Probably not a substantial claim: may not pass S2 (checkable), S4 (based).
PremisereasoningThe simplest and strongest assumption about the treatment effect is that the effect is constant.
“The simplest and strongest one is that the effect is constant.”
Quote in the paperNot a substantial claimMay combine two claims.
Interpretationown dataThe evidence of effect variation in only 1 out of 5 trials suggests a limited role for tailored interventions.
“That is, we have found evidence of effect variation in only 1 out of 5 trials (40/208), suggesting a limited role for tailored interventions.”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
Study design and conductnone givenThree different methods were used to compare variances: a random-effects model, a heuristic procedure based on heterogeneity from the random-effects model, and a classical test for equality of variances.
“Three different methods were used to compare the variances: 1) a random-effects model; 2) a heuristic procedure based on the heterogeneity obtained from the previous random-effects model; and 3) a classical test for equality of variances.”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningIf both arms have equal variances, the average treatment effect can be seen as an individual treatment effect, supporting a unique clinical guideline for all patients within eligibility criteria.
“This means that the average treatment effect can be seen as an individual treatment effect (not directly observable), which supports the use of a unique clinical guideline for all patients within the eligibility criteria, thus in turn also supporting the use of parallel controlled trials to guide decision-making in these circumstances.”
Quote in the paperSubstantial claimClassified as probably not a substantial claim.
InterpretationcitationHeteroscedasticity may suggest a need to specify further the eligibility criteria or search for an additive scale.
“Otherwise, heteroscedasticity may suggest a need to specify further the eligibility criteria or search for an additive scale 25, 29.”
Quote in the paperSubstantial claim0 of 2 sources checked- cites [25] S Senn, 2004, Controversies concerning randomization and additivity in clinical trials., Stat Med. source
Not checked in the free run.
- cites [29] K Schulz, 2010, CONSORT 2010 statement: updated guidelines for reporting parallel group randomised trials., BMJ. source
Not checked in the free run.
Probably not a substantial claim: may not pass S2 (checkable).
InterpretationreasoningDifferent patients and stakeholders may vary in their weighting of efficacy outcomes, harm, and cost of interventions, bridging the gap between common evidence and personalized decisions.
“More specifically, this is because different patients and stakeholders may vary in their weighting not only of efficacy outcomes, but also of the harm and cost of the interventions – thus bridging the gap between common evidence and personalized decisions.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).
Interpretationnone givenLooking only at averages can cause us to miss out on important information.
“Looking only at averages can cause us to miss out on important information.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable).
InterpretationcitationThere is a need to measure a greater range of features to determine the response to treatment.
“Our results uphold the assertion by Horwitz et al. that there is a “need to measure a greater range of features to determine [...] the response to treatment” 31.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [31] R Horwitz, 2013, Medicine. (De)personalized medicine., Science. source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
InterpretationreasoningThe treatment effect may not be additive on the scale used for analysis, suggesting that it would be suitable to explore other metrics and transformations.
“As mentioned above, another reason might be that the treatment effect is not additive on the scale used for analysis, suggesting that it would be suitable to explore other metrics and transformations.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.
Interpretationnone givenThis study focuses on numerical endpoints; time-to-event or categorical outcomes are out of scope.
“And, third, this study focuses on numerical endpoints; thus, time-to-event or categorical outcomes are out of scope.”
Quote in the paperNot a substantial claimMay combine two claims.
Study design and conductreasoningTrials are usually powered to test constant effects and thus the presence of greater variability would lead to an underpowered design.
“Third, trials are usually powered to test constant effects and thus the presence of greater variability would lead to an underpowered design; that is, if the control group variance is used to plan the trial, increased treatment group variance would reduce power (perhaps leading to non-publication).”
Quote in the paperSubstantial claimProbably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.
Interpretationnone givenThe outcomes of some types of interventions such as surgeries are greatly influenced by the skills and training of those administering the intervention; these situations could have some effect on increasing variability.
“Second, the outcomes of some type of interventions such as surgeries, for example, are greatly influenced by the skills and training of those administering the intervention; and these situations could have some effect on increasing variability.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.
InterpretationreasoningThe heterogeneity could also be the result of relevant undetected factors interacting with the treatment, which would justify the suitability of precision medicine.
“On the other hand, this heterogeneity could also be the result of relevant undetected factors interacting with the treatment, which would indeed justify the suitability of precision medicine.”
Quote in the paperNot a substantial claimProbably not a substantial claim: may not pass S3 (load-bearing).
InterpretationcitationThe heterogeneity observed in the random-effects model may be the result of methodological inaccuracies.
“Fourth, the heterogeneity observed in the random-effects model may be the result of methodological inaccuracies 23 arising from typographical errors in data translation, inadequate follow-up, insufficient reporting, or even data fabrication.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites [23] J Carlisle, 2017, Data fabrication and other reasons for non-random sampling in 5087 randomised, controlled trials in anaesthetic and general medical journals., Anaesthesia. source
Not checked in the free run.
Probably not a substantial claim: may not pass S3 (load-bearing).
InterpretationreasoningA constant effect is the simplest explanation for homoscedasticity.
“Nevertheless, a constant effect is the simplest explanation for homoscedasticity (Section VIII of Supplementary File 1: Conditions for homoscedasticity to hold without a constant effect under an additive model).”
Quote in the paperNot a substantial claimMay combine two claims.
InterpretationreasoningAlthough a constant effect always implies homoscedasticity on the chosen scale, the reverse is not true; homoscedasticity does not necessarily imply a constant effect.
“The main limitation of our study arises from the fact that, although a constant effect always implies homoscedasticity on the chosen scale, the reverse is not true; i.e., homoscedasticity does not necessarily imply a constant effect.”
Quote in the paperSubstantial claim
The paper relies on this without support.
The 208 analyzed trials are representative of parallel randomized controlled trials in medical journals.
“Our target population was parallel, randomized controlled trials with numerical primary endpoint.”
“we selected articles on parallel clinical trials from the years 2004, 2007, 2010 and 2013”
The paper relies on this without support.
The 10 clinical trials published by the journal Trials in October 2017 are representative of how clinical trials are designed.
“As an example, the 10 clinical trials published by the journal Trials in October 2017 ( Supplementary File 1: Table S1) were designed without explicitly allowing for an effect that was not constant within the study population.”
The authors state this as an assumption.
The Normality assumptions underlying some of the analyses hold.
“First, some of our analyses are based on Normality assumptions that are unverifiable without access to raw data.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Current tools for the homogeneity assumption might not help with treatment-effect heterogeneity in randomized clinical trials, where several factors can drive variation in treatment response.
“For example, our current tools to tackle the homogeneity assumption may not help address the treatment-effect het- erogeneity problem (67–69) in research clinical trials (RCTs), where multiple factors may drive treatment-response variation.”
From Methods and challenges for assessing heterogeneity (2020) · cites this paper as [67]
Testing variance across samples can show whether treatment effects or treatment-by-cluster effects are heterogeneous.
“Variance be- tween different samples can be tested to determine whether treatment or treatment-by-cluster effects are heterogeneous (67).”
From Methods and challenges for assessing heterogeneity (2020) · cites this paper as [67]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Percentage for identical outcome variability is misstated
MinorEleven of 208 studies is 5.3% to one decimal place, not 5.2%.
Reported 5.2 · recomputed 5.288462
“Eleven (5.2%) out of 208 studies reported exactly the same outcome variability in both arms.”
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- Authors
- Cortés, J., González, J. A., Medina, M. N., Vogler, M., Vilaró, M., Elmore, M., Senn, S. J., Campbell, M., & Cobo, E.
- Affiliations
- Universitat Politècnica de Catalunya (ES)
- Escuela Colombiana de Ingenieria Julio Garavito (CO)
- Ludwig-Maximilians-Universität München (DE)
- Luxembourg Institute of Health (LU)
- University of Sheffield (GB)
- Corresponding author
- Cortés, Jordi
- Venue
- F1000Research
- Publisher
- F1000 Research Ltd
- Published
- 2019-03-07
- Volume
- 7
- Pages
- 30
- ISSN
- 2046-1402 (ISSN-L)
- PMC
- PMC6524747
- OpenAlex
- W4254878235
- Cited by
- 13
- References
- 30
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 1 · 2023: 1 · 2022: 2 · 2021: 3 · 2020: 2 · 2019: 1 · 2018: 1
- FWCI
- 1.56
- Type
- journal article
- Language
- en
- Update notices
- new_version (2019-06-10)
- Open access
- gold
- doi.org
- Licence
- Locations
- F1000Research (publishedVersion, other-oa)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Funders
- Departament d'Economia i Coneixement de la Generalitat de Catalunya (2014 SGR 464)
- Ministerio de Economía y Competitividad (MTM2015-64465-C2-1-R)
- H2020 Marie Skłodowska-Curie Actions (676207)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Keywords
- precision medicine, homoscedasticity, subgroup heterogeneity, treatment effect heterogeneity, personalized treatment
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Claims read by deepseek-v4.1-flash under definition version 3 (extract-v3) on 2026-10-08.
Classified by jev-1.13-20260917 (gold-guideline-v0.2) on 2026-10-08.
Statistics and arithmetic are recomputed, not judged.
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