Experimental Design & Data Collection · Experimental Design & ANOVA

One-way ANOVA and its assumptions — Design of experiments

Public introduction · full guide in Eikos

Introduction

What this guide covers

Introduction Introduction Design of experiments · Linear fixed effects model

Overview

Topics covered

  • Introduction
  • One-way ANOVA and its assumptions
  • Context and vocabulary of experimental design
  • Why not multiple t-tests? The problem of multiple comparisons
  • The one-factor linear model
  • Cell Mean Model

Related concepts

Main connections

  • Variance & standard deviation
  • Analysis of variance (ANOVA)
  • Residual analysis & diagnostics
  • Conditional probability & independence
  • Skewness & kurtosis
  • Multiple testing & FWER/FDR

Compatible notation

Mathematical sample in LaTeX

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

FWER=1−(1−α)m,m=(k2)=k(k−1)2.
View LaTeX source\text{FWER} \;=\; 1-(1-\alpha)^{m}, \qquad m=\binom{k}{2}=\frac{k(k-1)}{2}.