Experimental Design & Data Collection · Experimental Design & ANOVA

Design of Experiments: Special and Advanced Topics

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Advanced experimental design · Special Topics

Overview

Topics covered

  • Introduction
  • 1. Theory of Linear Mixed Models in the Design of Experiments
  • General Matrix Formulation
  • Henderson Mixed Model Equations
  • 2. Split Plot Designs
  • Design Structure and Randomization Constraint

Related concepts

Main connections

  • Linear algebra & matrices
  • Design of experiments (DoE)
  • Mean & expected value
  • Variance & standard deviation
  • Analysis of variance (ANOVA)
  • Linear regression

Compatible notation

Mathematical sample in LaTeX

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

𝐲=𝐗𝛃+𝐙𝐮+𝛆
View LaTeX source\mathbf{y} = \mathbf{X}\boldsymbol{\beta} + \mathbf{Z}\mathbf{u} + \boldsymbol{\varepsilon}