Experimental Design & Data Collection · Experimental Design & ANOVA

Design of experiments: Fractional factorial designs 2^(k-p)

Public introduction · full guide in Eikos

Introduction

What this guide covers

The optimization of experimental effort through dimensional reduction: a formal analysis of the algebraic structure of aliasing, resolution and minimum aberration.

Overview

Topics covered

  • Introduction
  • Fractional Factorial Designs
  • Introduction and Philosophy of Fractionation
  • Principles of Effects Dispersion
  • Mathematical Formulation of Designs
  • Design Generators and Defining Relationship

Related concepts

Main connections

  • Design of experiments (DoE)
  • Causal inference & potential outcomes
  • Linear algebra & matrices
  • Median & robust location
  • Calculus & differentiation
  • Variance & standard deviation

Compatible notation

Mathematical sample in LaTeX

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

ℙ(Main Active Effect)>ℙ(Interaction of 2 Active Factors)≫ℙ(Interaction of 3 Active Factors)
View LaTeX source\mathbb{P}(\text{Main Active Effect}) > \mathbb{P}(\text{Interaction of 2 Active Factors}) \gg \mathbb{P}(\text{Interaction of 3 Active Factors})