Fundamental Concepts in Experiment Design (Statistics)

~ Welcome to Fundamental Concepts in Experiment Design ~

This book covers several core concepts in the design of experiments and their statistical analysis. Emphasis is placed on Gaussian-distributed analysis methods, like ANOVA and Linear Modeling. The first fifteen pages introduce the theory of design, and the remaining 150 pages covers several worked examples.


Table of Contents

Experiment Overview
Design Phase
Factors
Mathematical Flavor
Fixed vs. Random Effect
Crossed vs. Nested Categorical
Experiment vs. Grouping
Interventional vs. Observational
Repeated Measures
Units
Constructed vs. Pre-Existing
Measurements
Distribution
Replicates
Model Equation
Experiment Phase
Randomization Location
Randomization Type
Hidden Factors
Randomization Rules of Thumb
Analysis Phase
Example Experiments
Designs with One Experiment Factor
Two-Group Comparison
Three-Group Comparison
Linear Regression
Designs with One Experiment Factor and One Grouping Factor
Two-Group Comparison inside Blocks
Two-Group Comparison inside Blocks, but Block levels are Random Effects
Two-Group Comparison inside Units, i.e. a Repeated Measures design
Linear Regression inside Blocks
Designs with Two Experiment Factors
Crossed Categorical Factors
Nested Categorical Factor
Designs with Two Experiment Factors and One Grouping Factor
2 Crossed Factors inside Blocks
Split Plot, Type A
2 Factor Fully Repeated Measures
2 Factor Partially Repeated Measures