Time Series, Health & Evidence Synthesis · Meta-Analysis & Evidence Synthesis

Theory of network meta-analysis (Network Meta-Analysis) — advanced statistical inference

Public introduction · full guide in Eikos

Introduction

What this guide covers

Mathematical consistency, applied graph theory, hierarchical Bayesian formulation and multivariate random effects modeling in the synthesis of indirect evidence.

Overview

Topics covered

  • Introduction
  • Network Meta-analysis
  • Fundamentals of Indirect Evidence Synthesis
  • Evidence Network Geometry
  • Mathematical Formulation of Network Meta-analysis (Frequentist)
  • Fixed Effects Models vs. Random Effects

Related concepts

Main connections

  • Variance & standard deviation
  • Bayes' theorem & priors
  • Linear algebra & matrices
  • Maximum likelihood estimation
  • Logistic regression
  • Binomial distribution

Compatible notation

Mathematical sample in LaTeX

The expression is rendered accessibly, with its LaTeX source preserved below.

θ^BCind=θ^ACdir−θ^ABdir
View LaTeX source\hat{\theta}_{BC}^{\text{ind}} = \hat{\theta}_{AC}^{\text{dir}} - \hat{\theta}_{AB}^{\text{dir}}