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

Meta-analysis: The random-effects model · Advanced statistical treatise

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Advanced Reference Manual

Overview

Topics covered

  • Introduction
  • Meta-analysis: The Random Effects Model
  • Introduction to evidence synthesis and meta-analytic revolution
  • The fixed-effect model as a contrast
  • Weighting by the inverse of the variance in fixed effects
  • Conceptualization of the random effects model

Related concepts

Main connections

  • Variance & standard deviation
  • Meta-analysis & heterogeneity
  • Mean & expected value
  • Mixed & multilevel models (GLMM)
  • Confidence interval
  • Maximum likelihood estimation

Compatible notation

Mathematical sample in LaTeX

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

𝐃={(Yi,vi)}i=1k
View LaTeX source\mathbf{D} = \left\{ (Y_i, v_i) \right\}_{i=1}^{k}