Experimental Design & Data Collection · Experimental Design & ANOVA

Experiment Design · Design with Randomization Restriction

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Introduction Chart from the original guide

Overview

Topics covered

  • Introduction
  • Design with Constrained Randomization
  • Basics of Restricted Randomization
  • Experimental Units vs. Observational Units
  • Statistical Consequences of Ignoring Restrictions
  • Complete and Incomplete Block Designs

Related concepts

Main connections

  • Variance & standard deviation
  • Permutation & exact tests
  • Clinical trials & RCT design
  • Linear algebra & matrices
  • Analysis of variance (ANOVA)
  • Maximum likelihood estimation

Compatible notation

Mathematical sample in LaTeX

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

Yij=μ+τi+βj+ϵij,i=1,…,a;j=1,…,b
View LaTeX sourceY_{ij} = \mu + \tau_i + \beta_j + \epsilon_{ij}, \qquad i=1,\dots,a; \ j=1,\dots,b