13 Research methods, statistics, critical review and evidence-based practice13.4 Systematic reviews

13.4.6 Network meta-analysis

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Written by Resident Doctor Committee · Published

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Reading a network

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An evidence network of antidepressant trials6 nodes and 9 edges, all in one connected piece, Escitalopram is selected, with 2 neighbours.121014953421123456
Nodes and edges
6 and 9
Density
60%Edges present out of all the edges possible.
Diameter
2 stepsThe longest of the shortest paths.
Average path length
1.40 steps
Connected pieces
1
Degree of Escitalopram
2Treatments it was compared with directly.
Trials
13Direct trials it took part in.
Closeness
0.63One over its average number of steps to the others.
Betweenness
0.00The share of shortest paths between other nodes that pass through it.
Where the evidence on Escitalopram against each treatment comes from.
Compared withDirect trialsShortest route
1. Placebo10Direct
2. Sertraline3Direct
4. FluoxetineNoneIndirect, via Placebo
5. VenlafaxineNoneIndirect, via Placebo
6. MirtazapineNoneIndirect, via Placebo

Trial counts are invented for teaching. Each line is a set of trials that compared two treatments directly, and its number says how many. A comparison with no line can still be estimated indirectly, through a shared comparator such as placebo, which is only fair if the trials on each side are similar enough for transitivity to hold.

An invented evidence network of 60 antidepressant trials. Escitalopram was compared directly with placebo and sertraline only; every other comparison is indirect, through placebo. Choose another drug to see its direct and indirect evidence.

New in the 2027 syllabus

The College added this topic for exams from January 2027.

Comparing several treatments

A network meta-analysis compares several treatments at once. It combines direct and indirect comparisons across a connected set of interventions. From these, it estimates the relative effect of each treatment against the others.

  • Direct evidence compares two treatments within the same randomised trials.

  • Indirect evidence links two treatments through a shared comparator, such as placebo.

In the network diagram, each node is a treatment and each edge (line) is a direct comparison in the included studies. Check the legend to see what line thickness and node size mean.

Assumptions

Concept

Meaning

Appraisal question

Transitivity

The comparisons are similar enough in their effect modifiers

Could participants plausibly have been randomised to any treatment being compared?

Coherence, or consistency

Direct and indirect estimates agree, allowing for sampling uncertainty

Do different routes through the network give compatible effects?

Heterogeneity

Effects vary within one particular comparison

How similar are the trials comparing the same pair?

  • Effect modifiers include baseline severity, previous treatment and follow-up. If they are spread unevenly across comparisons, indirect estimates can be misleading.

  • Disconnected networks cannot give every relative effect without further assumptions to link the separate parts.

  • A non-significant inconsistency test does not prove coherence, especially when the network is sparse.

Illustrative indirect comparison

Assume the trials are comparable, use the same outcome and follow-up, and express risk ratios in the stated direction.

Comparison

Risk ratio for relapse

A versus placebo

0.60

B versus placebo

0.80

  1. Use the same reference treatment and outcome direction in both comparisons.

  2. Indirect risk ratio for A versus B = 0.60 / 0.80 = 0.75.

  3. This suggests a lower relative risk of relapse with A, but only if transitivity holds. The uncertainty must include the uncertainty from both estimates.

Solid links represent direct trial comparisons; the dashed link is an indirect estimate, not an additional trial. The worked example requires comparable effect modifiers and aligned outcomes, with uncertainty from both estimates. Original illustration drawn in Python for MRCPsychiatrist; see images/ATTRIBUTION.md

Reading rankings

  • A ranking shows the relative order for one particular outcome. Coming first does not mean a treatment has a clinically worthwhile advantage.

  • Rankings can be very uncertain when the evidence is sparse, imprecise or biased.

  • Weigh benefits, harms and certainty together. Use effect estimates and their intervals, not the rank alone.

  • Multi-arm trials produce comparisons that are correlated with each other. The analysis must allow for this, rather than counting their shared control group repeatedly as independent evidence.