Network Meta-Analysis

The Network Meta-Analysis (NMA) section compares three or more treatments simultaneously, pooling direct evidence (head-to-head studies) with indirect evidence (treatments connected through a common comparator) to estimate every pairwise comparison in the network -- even between treatments never compared head-to-head.


The workflow

Step What you do
1. Enter the studies For each study, supply the two treatments compared and the effect data
2. Configure the analysis Select effect measure and analysis options
3. Run the analysis Engine extracts direct comparisons, derives indirect comparisons, combines into network estimates

The section provides a guided Study Entry Form, Column Mapper for imports, Network Results with rankings and league table, Results Interpretation view, and Methodology Section.


The two kinds of evidence

Estimate What it represents
Direct Pooled effect from studies that directly compared A vs B
Indirect Effect inferred via a connecting node (e.g. A vs C + C vs B) using transitivity
Network Combined estimate using both direct and indirect evidence, weighted by precision

The network estimate is typically reported; direct and indirect components are inspected for consistency.


Statistical methods

Direct comparisons

For each pair with head-to-head studies, standard pairwise pooling produces effect size, SE, 95% CI, z-statistic, and p-value.

Indirect comparisons

Under the transitivity assumption:

For path A -> C -> B:
  Indirect_effect(A,B) = Direct_effect(A,C) + Direct_effect(C,B)
  Indirect_SE(A,B)     = sqrt(SE(A,C)^2 + SE(C,B)^2)
  CI                   = Indirect_effect +/- 1.96 * Indirect_SE
  z                    = Indirect_effect / Indirect_SE

When several connecting paths exist, indirect evidence from each path can be combined.

The transitivity assumption is the core requirement: participants and study characteristics in A-vs-C studies must be comparable to those in C-vs-B studies. If violated, the indirect estimate is unreliable.

Combined network estimates

When both direct and indirect evidence exist, they are combined by precision-weighted pooling -- typically dominated by whichever source has smaller SE.

Heterogeneity

A network-level heterogeneity result summarises between-study variability across the analysis.

Method options

The interface offers analysis-method options: traditional, frequentist, and bayesian.


Treatment rankings

Quantity Meaning
SUCRA 0-100 score; 100 = best treatment in network, 0 = worst
Mean rank Average rank position across ranking distribution
Ranking probabilities Probability of being in each rank position

Higher SUCRA indicates a treatment more likely to be among the best. SUCRA is sensitive to uncertainty -- a slightly better point estimate with wide CI may score lower than a marginally worse estimate with tight CI. Read ranking probabilities alongside SUCRA for a complete picture.


The league table

Displays the network estimate for every pair of treatments in a single matrix. Each cell shows the comparative effect of row treatment vs column treatment with 95% CI. The canonical NMA summary table.


Network geometry

The network plot visualises evidence structure:

  • Nodes -- treatments in the network
  • Edges -- head-to-head comparisons (thickness/size reflects number of studies/participants)

Use to inspect whether the network is connected (prerequisite for NMA) and whether it is dense or sparse.


Specialised tools

Tool Use
Dose-response calculations Modelling effect across multiple dose levels
Economic calculations Cost-effectiveness summaries (e.g. ICER-relevant)
Single-arm conversion Incorporating single-arm data where appropriate

Outputs

Output Contents
Direct comparisons Per-pair pooled effect, SE, 95% CI, z, p
Indirect comparisons Per-pair indirect effect, SE, 95% CI, z, p
Network estimates Combined estimate for every pair
Treatment rankings SUCRA, mean rank, ranking probabilities
League table All pairwise comparisons in matrix form
Network plot Visual network geometry
Heterogeneity Network-level result
Methodology Section Auto-generated methods description
Results Interpretation Plain-language summary
Export Results for reporting

When NMA is the right tool

Situation NMA appropriate?
Two treatments, head-to-head only No -- use pairwise meta-analysis
Three+ treatments, connected network Yes
Three+ treatments, disconnected network No -- cannot estimate across the gap
New treatment compared only to placebo, want ranking vs active comparators Yes, if active comparators connect to placebo

The most important precondition: the network must be connected and transitivity must be plausible.