meta-analysis

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META-ANALYSIS AND SYSTEMATIC REVIEW
Gianluigi Savarese, MD, FESC, ACC FIT
Department of Advanced Biomedical Sciences, Federico II University, Naples, Italy
Department of Medicine, Solna, Karolinska Institutet, Stockholm, Sweden
What is a Systematic Review?
“A review that is conducted according to clearly
stated, scientific research methods, and is
designed to minimize biases and errors inherent
to traditional, narrative reviews.”
Kevin C. Chung, MD, Patricia B. Burns, MPH, H. Myra Kim, ScD, “Clinical Perspective: A Practical Guide to Meta-Analysis.” The Journal of Hand Surgery. Vol.
31A No.10 December 2006. p.1671
What is the significance of Systematic
Reviews?
• The large amount of medical literature requires clinicians and
researchers alike to rely on systematic reviews in order to make an
informed decision.
• Systematic Reviews minimize bias. “A systematic review is a more
scientific method of summarizing literature because specific protocols
are used to determine which studies will be included in the review.”
Margaliot, Zvi, Kevin C. Chung. “Systematic Reviews: A Primer for Plastic Surgery Research.” PRS Journal. 120/7 (2007) p.1839
Why are Systematic Reviews
Necessary?
“The volume of published material makes it impractical for an individual
clinician to remain up to date on a variety of common conditions. This is
further complicated when individual studies report conflicting conclusions, a
problem that is prevalent when small patient samples and retrospective
designs are used.”
Margaliot, Zvi, Kevin C. Chung. “Systematic Reviews: A Primer for Plastic Surgery Research.” PRS Journal. 120/7 (2007) p.1839
Characteristics of Systematic Reviews
• Two possible approaches:
– or
qualitative
synthesis
– statistical synthesis of data (meta-analysis) if
appropriate and possible
Hypothesis
A systematic review should be based on
principles of hypothesis testing, and the
hypotheses must be conceived a priori.
Four steps
• Identify your studies
• Determine eligibility of studies apriori to
avoid bias
– Inclusion: which ones to keep
– Exclusion: which ones to throw out
• Abstract Data from the studies
• Analyze data in the studies statistically
Literature Search
A comprehensive and reproducible literature
search is the foundation of a systematic review.
Literature Search
• Be methodical: plan first
• List of popular databases to search
–
–
–
–
–
Pubmed/Medline
Embase
Cochrane Review
ISI Web of Science
SCOPUS
Database bias!!!
• Other strategies you may adopt
–
–
–
–
–
–
–
Trial registries (clinicaltrials.gov)
Abstracts from meetings
Hand search (go to the library...)
Personal references
References from published reviews/meta-analysis/trials
Contact experts
Web, eg. Google (http://scholar.google.com)
Grey litterature
Literature Search – Risk of Bias
• English-language bias -
occurs when reviewers exclude
papers published in languages other than English
• Citation bias -
occurs when studies with significant or positive
results are referenced in other publications, compared with studies
with inconclusive or negative findings
• Publication Bias - selective publication of articles that show
positive treatment of effects and statistical significance.
Data Collection
• The list of data to be extracted should be decided a priori.
• A data extraction form should be used so that the same
data are extracted from each study and missing data are
clearly apparent.
• To be sure that data extraction is accurate and
reproducible, it should be performed by at least two
independent readers.
• Disagreement between readers could be solved by
agreements or by a third reviewer
Margaliot, Zvi, Kevin C. Chung. “Systematic Reviews: A Primer for Plastic Surgery Research.” PRS Journal. 120/7 (2007) p.1839
Data Collection
Collected data includes:
– Study characteristics (year and journal of publication,
number of patients in each arm, treatments
performed, duration of follow-up)
– Sample demographics (age, % males or females)
– Sample characteristics (traditional CV risk factors - %
hypertensive pts, % diabetic pts, % dyslipidemic pts, %
smokers – concomitant treatments, comorbidities,
etc)
– Outcome data (all-cause death, CV death, MI, stroke,
etc)
Quality Assessment
The validity of a systematic review ultimately
depends on the scientific method of the
retrieved studies and the reporting of data.”
Margaliot, Zvi, Kevin C. Chung. “Systematic Reviews: A Primer for Plastic Surgery Research.” PRS Journal. 120/7 (2007) p.1839
GRADE
Grading of Recommendations
Assessment, Development and
Evaluation
Guyatt GH, Oxman AD, Kunz R, Vist GE, Falck-Ytter Y, Schünemann HJ; GRADE Working Group. What is "quality of evidence" and why is it important to
clinicians? BMJ. 2008 May 3;336(7651):995-8.
Guyatt GH, Oxman AD, Kunz R, Vist GE, Falck-Ytter Y, Schünemann HJ; GRADE Working Group. What is "quality of evidence" and why is it important to
clinicians? BMJ. 2008 May 3;336(7651):995-8.
Data Synthesis
Data could be summarized quantitatively if
study designs are not too different in:
• outcome definition (composite outcome?);
• population sizes
• population characteristics
• interventions
HETEROGENEITY
Data Synthesis
Once the data have been extracted and their
quality and validity assessed, the outcomes of
individual studies within a systematic review
may be pooled and presented as summary
outcome or effect
META-ANALYSIS
What is meta analysis?
Quantitative approach for systematically
combining results of previous research to
arrive at conclusions about the body of
research.
What does it mean?
•
•
•
•
•
Quantitative : numbers
Systematic : methodical
combining: putting together
previous research: what's already done
conclusions: new knowledge
Meta-analysis: Statistical Models
• There are 2 statistical models used in a metaanalysis:
– Fixed effects:
1. Effect of treatment is the same for every study;
2. Low heterogeneity
– Random effects:
1. True effect estimate for each study varies;
2. High heterogeneity
3. Provide larger CI
Heterogeneity
• Clinical heterogeneity: variability in the participants,
interventions and outcomes studied
+
• Methodological heterogeneity: variability in study
design
• Statistical heterogeneity: Variability in the intervention
effects being evaluated in the different studies. It is a
consequence of clinical or methodological diversity, or
both, among the studies.
Higgins JPT, Green S (editors). Cochrane Handbook for Systematic Reviews of Interventions Version 5.1.0 [updated March 2011]. The Cochrane Collaboration,
2011. Available from www.cochrane-handbook.org.
Heterogeneity assessment
• If confidence intervals for the results of individual studies (generally
depicted graphically using horizontal lines) have poor overlap, this
generally indicates the presence of statistical heterogeneity.
• Cochrane Q statistic: It is calculated as the weighted sum of squared
differences between individual study effects and the pooled effect across
studies, with the weights being those used in the pooling method. A p
value decided apriori defines the presence of significant heterogeneity.
• I2 statistic: It describes the percentage of variation across studies that is
due to heterogeneity rather than chance.
1. 0% to 40%: heterogeneity might not be important;
2. 30% to 60%: may represent moderate heterogeneity;
3. 50% to 90%: may represent substantial heterogeneity;
4. 75% to 100%: considerable heterogeneity.
Higgins JPT, Green S (editors). Cochrane Handbook for Systematic Reviews of Interventions Version 5.1.0 [updated March 2011]. The Cochrane Collaboration,
2011. Available from www.cochrane-handbook.org.
Strategies for addressing
heterogeneity
• Check again that the data are correct
• Do not do a meta-analysis
• Explore heterogeneity (subgroup analysis, metaregression)
• Ignore heterogeneity (there is no an intervention effect
but a distribution of intervention effects)
• Perform a random-effects meta-analysis (when
heterogeneity cannot be explained)
• Change the effect measure (different scales in different
studies)
• Exclude studies (outlying studies)
Higgins JPT, Green S (editors). Cochrane Handbook for Systematic Reviews of Interventions Version 5.1.0 [updated March 2011]. The Cochrane Collaboration,
2011. Available from www.cochrane-handbook.org.
Sensitivity analysis
• One study removed meta-analysis
• Meta-regression analysis
Publication Bias
Publication bias arises when trials with
statistically significant results are more likely to
be published and cited, and are preferentially
published in English language journals and those
indexed in Medline
Jüni P, Holenstein F, Sterne J, Bartlett C, Egger M. Direction and impact of language bias in meta-analyses of controlled trials: empirical study. International
Journal of Epidemiology 2001;31:115-123.
Publication Bias
• A funnel plot is a simple scatter plot of the intervention effect
estimates (OR, logOR) from individual studies against some
measure of each study’s size or precision (standard error,
1/standard error, sample size, 1/sample size, log(sample size),
log(1/sample size), Mantel-Haenszel weight).
•
The best choice of x axis for detecting the small sample effect
is the log odds ratio. This is because the scale is not
constrained and because the plot will be the same shape
whether the outcome is defined as occurrence or nonoccurrence of event.
Sterne JAC, Egger M. Funnel plots for detecting bias in meta-analysis: Guidelines on choice of axis. Journal of Clinical Epidemiology 2001;54:1046-1055.
Symmetrical plot in the absence of bias (open
circles indicate smaller studies showing no
beneficial effects)
Asymmetrical plot in the presence of
publication bias (smaller studies showing no
beneficial effects are missing)
Asymmetrical plot in the presence of bias due
to low methodological quality of smaller
studies (open circles indicate small studies of
inadequate quality whose results are biased
towards larger beneficial effects)
Jonathan A et al. The Stata Journal 2004; 4:127
Publication Bias
Ntot is the total sample size, NE and NC are the sizes of the experimental and control
intervention groups, S is the total number of events across both groups and F = Ntot – S. Note
that only the first three of these tests (Begg 1994, Egger 1997a, Tang 2000) can be used for
continuous outcomes.
Protocols
The purpose of PRISMA (Preferred Reporting
Items for Systematic Reviews and MetaAnalyses) guidelines is to provide proper
procedures for conducting a meta-analysis and
to standardize the methods of reporting a metaanalysis.
Savarese G et al J Am Coll Cardiol 2013;61:131
Background
• Angiotensin-converting enzyme inhibitors (ACE-Is) are
recommended for reduction of cardiovascular (CV) events in
patients at high CV risk without heart failure (HF).
• In contrast, CV effects of angiotensin receptor blockers (ARBs)
on major clinical outcomes in patients without HF are less
certain as major clinical trials comparing ARBs vs placebo
reported conflicting results.
Savarese G et al J Am Coll Cardiol 2013;61:131
Methods – Inclusion Criteria
• Report of at least one clinical outcome (all-cause death, CV
death, myocardial infarction, stroke, new onset heart failure,
new onset diabetes mellitus).
• Randomized, placebo-controlled trials using ACE-Is or ARBs as
treatments.
Savarese G et al J Am Coll Cardiol 2013;61:131
Methods – Statistical methods
• Meta-analysis was performed to assess the influence of
treatments on outcomes.
• Statistical homogeneity was assessed using Q statistic and
further quantified with the I2 statistic.
• Meta-regression was performed to test the influence of
potential effect modifiers on results.
• Publication bias was assessed using linear regression test by
Egger and Macaskill’s modified test.
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Search Strategy
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Population characteristics
Results – Population characteristics
Results – Population characteristics
Results – Composite Outcome
ARBs significantly reduced the
risk of the composite outcome by
7.0% compared to placebo
(p=0.012).
ACE-Is significantly reduced the
risk of the composite outcome by
14.9% compared to placebo
(p=0.001).
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – CV Death
ARBs did not reduce the risk
of CV death (p=0.768)
10% reduction of CV death
did not achieve statistical
significance in ACE-Is trials
(p=0.087).
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Myocardial infarction
9.5% reduction of MI risk did
not
achieve
statistical
significance in ARBs trials
(p=0.086).
ACE-Is significantly reduced the
risk of MI by 17.7% (p<0.001)
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Stroke
ARBs significantly reduced
the risk of stroke by 9.1%
(p=0.011).
ACE-Is significantly reduced
the risk of stroke by 19.6%
(p=0.004)
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – All Cause Death
No significant effect was found
on the risk of all-cause death in
ARBs trials (p=0.866).
ACE-Is reduced the risk of allcause death by 8.3% (p=0.008).
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – New onset HF
No significant effect was
found on the risk of new
onset HF in ARBs trials
(p=0.866).
ACE-Is reduced the risk
of new onset HF by
20.5% (p=0.001).
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – New onset DM
ARBs significantly
reduced the risk of
new onset DM by
10.6% (p<0.01).
ACE-Is
reduced
the risk of new
onset diabetes by
13.7% (p=0.012)
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Subgroup analysis
Savarese G et al J Am Coll Cardiol 2013;61:131
Results – Meta-regression analysis
Conclusions
• In comparison to placebo, ACE-Is substantially reduce
the composite of CV death/MI/stroke as well as allcause death, new onset HF and new onset DM in
high-risk patients without HF, mostly with coronary
or other vascular diseases.
• ARBs, in high-risk patients mostly with DM or
impaired glucose tolerance, without HF, reduce the
composite outcome and new onset DM, but do not
appear to reduce rates of all-cause death or new
onset HF.
Savarese G et al J Am Coll Cardiol 2013;61:131
Types of Meta-analysis/Terminology
Systematic Review
Meta-analysis
(Overview)
Extract data from published reports
(aggregated data meta-analysis)
Frequentist Approach
Bayesian Approach
Network
Collect individual patient data (IPD)
Frequentist approach
Classical methods are, usually based on algorithms using explicit
formulas.
main
assumptions
of the
model
results of
studies (usually
RCTs)
Transformations
of input data
Results of Meta-analysis
Bayesian Meta-Analysis
Including extra (prior) information
main
assumptions
of the
model
establishing
prior
distributions
basing on:
Extra data e.g. results
of non-randomized
trials, historical
observations, etc.
Setting the level of
conviction to this data
!
MCMC simulations
Results of Meta-analysis
results of
randomized
studies
Bayesian Meta-Analysis
Assessing clinical significance
main
assumptions
of the
model
non-informative
prior
distributions
results of
studies
establishing the level of
clinical significant result
(e.g. RR > 1.2)
MCMC simulations
Results of Meta-analysis
!
Answering the question: How probable is that the
result is clinically significant?
Possible to obtain
due to knowledge of
whole distribution
Frequentist vs Bayesian approach
Bayesian approach
Frequentialist
methods
philosophy
First: assumptions and construction
then: inputing results of studies
Construction based on
the results of studies
flexibility
YES
NO
computation Makov Chain Monte Carlo simulations
software
specialistic, e.g. WinBUGS
formulas
no special
requirements
Network Meta-Analysis
(Multiple Treatments Meta-Analysis, Mixed Treatment Comparisons)
• Combine direct + indirect estimates of multiple treatment effects
• Internally consistent set of estimates that respects randomization
• Estimate effect of each intervention relative to every other
whether or not there is direct comparison in studies
• Calculate probability that each treatment is most effective
• Compared to conventional pair-wise meta-analysis:
• Greater precision in summary estimates
• Ranking of treatments according to effectiveness
55
Indirect Comparisons of Multiple
Treatments – Network Meta-Analysis
Trial
1
A
B
2
A
B
• Want to compare A vs. B
Direct evidence from trials 1, 2 and 7
Indirect evidence from trials 3, 4, 5, 6 and 7
3
B
C
4
B
C
5
A
C
6
A
C
7
A
B
C
• Combining all “A” arms and
comparing with all “B” arms destroys
randomization
• Use indirect evidence of A vs. C and
B vs. C comparisons as additional
evidence to preserve randomization
and within-study comparison
Network Meta-Analysis
(Multiple Treatments Meta-Analysis, Mixed Treatment Comparisons)
paroxetine
reboxetine
duloxetine
mirtazapine
escitalopram
fluvoxamine
milnacipran
citalopram
sertraline
venlafaxine
bupropion
fluoxetine
milnacipran
paroxetine
sertraline
bupropion
fluvoxamine
?
duloxetine
escitalopram
milnacipran
19 meta-analyses of pairwise comparisons published
What is an individual patients data
Meta-analysis?
• Involves the central collection, checking and
analysis of updated individual patient data
• Include all properly randomised trials,
published and unpublished
• Include all patients in an intention-to-treat
analysis
Benefits of IPD
•
•
•
•
•
•
•
Carry out time-to-event analyses
Only practical way to do subgroup analyses
More flexible analysis of outcomes
Carry out detailed data checking
Ensure quality of randomisation and follow up
Ensure appropriateness of analysis
Update follow up information
Other Benefits
•
•
•
•
•
•
More complete identification of trials
Better compliance in providing missing data
More balanced interpretation of results
Wider endorsement and dissemination of results
Better clarification of further research
Collaboration on further research
THANKS FOR THE ATTENTION!!!
Sorrento, Naples, Italy.
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