Cited by 13Statistical Methods in Clinical TrialsMeta-analysis and systematic reviewsAdvanced Causal Inference Techniques

Does evidence support the high expectations placed in precision medicine? A bibliographic review

Open access
Cortés, Jordi, González, José Antonio, Medina, María Nuncia, Vogler, Markus, Vilaró, Marta, Elmore, Matt, Senn, Stephen John, Campbell, Michael +1 more·2019·F1000Research

Abstract

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.

AI snapshot

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

Crossref · 10.12688/f1000research.13490.4

Cites

31 of 31 references verified0 citation errors · 0 not checkable

Statistics

Nothing to recompute.

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
  • May combine two claims. 19
  • Classified as probably not a substantial claim. 20
  • May combine two claims.

    Findingown data

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Findingown data

    More 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 claim
  • May combine two claims.

    Findingown data

    In 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 claim
  • May combine two claims.

    Findingown data

    Based 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 claim
  • May combine two claims.

    Findingown data

    In 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 claim
  • May combine two claims.

    Findingown data

    In 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 claim
  • May combine two claims.

    Findingown data

    The 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
  • May combine two claims.

    Findingown data

    In 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 claim
  • May combine two claims.

    Findingown data

    The 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 claim
  • May combine two claims.

    Findingown data

    Variability 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Findingnone given

    There 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 claim
  • May combine two claims.

    Interpretationreasoning

    Without 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 claim
  • Classified as probably not a substantial claim.

    Study design and conductnone given

    When 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Study design and conductown data

    Data 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Premisereasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S4 (based).

    Interpretationnone given

    When 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Premisecitation

    The 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).

    Premisereasoning

    The 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 claim
  • May combine two claims.

    Interpretationown data

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Study design and conductnone given

    Three 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 claim
  • May combine two claims.

    Interpretationreasoning

    If 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 claim
  • Classified as probably not a substantial claim.

    Interpretationcitation

    Heteroscedasticity 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).

    Interpretationreasoning

    Different 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing).

    Interpretationnone given

    Looking 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable).

    Interpretationcitation

    There 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.

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing). May combine two claims.

    Interpretationnone given

    This 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 claim
  • May combine two claims.

    Study design and conductreasoning

    Trials 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationnone given

    The 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 claim
  • Probably not a substantial claim: may not pass S2 (checkable), S3 (load-bearing), S4 (based). May combine two claims.

    Interpretationreasoning

    The 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 claim
  • Probably not a substantial claim: may not pass S3 (load-bearing).

    Interpretationcitation

    The 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).

    Interpretationreasoning

    A 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 claim
  • May combine two claims.

    Interpretationreasoning

    Although 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
34 of 34
  • 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.”
3 of 3

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

    Minor

    Eleven of 208 studies is 5.3% to one decimal place, not 5.2%.

    Reported 5.2 · recomputed 5.288462

1 of 1

Cites

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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
Published
2019-03-07
Volume
7
Pages
30
ISSN
2046-1402 (ISSN-L)
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
Open access
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

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