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

Meta-analysis: Computational Practices and Software

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction data |> escalc(...) |> rma.uni(...) |> forest() Data Science with R · Expert Level

Overview

Topics covered

  • Introduction
  • Mathematical Foundations and Models
  • Effect Sizes and Sample Variance
  • Fixed Effects Models vs. Random Effects
  • Statistical Estimation with metafor
  • Heterogeneity Estimators ( )

Related concepts

Main connections

  • Meta-analysis & heterogeneity
  • Variance & standard deviation
  • Mixed & multilevel models (GLMM)
  • Maximum likelihood estimation
  • Bayes' theorem & priors
  • Mean & expected value

Compatible notation

Mathematical sample in LaTeX

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

di=x‾1i−x‾2iSp,i,gi=di(1−34(n1i+n2i)−9)
View LaTeX sourced_i = \frac{\bar{x}_{1i} - \bar{x}_{2i}}{S_{p,i}}, \quad g_i = d_i \left( 1 - \frac{3}{4(n_{1i} + n_{2i}) - 9} \right)