Experimental Design

Factorial, optimal, and sequential experimental designs.

foundation tier

Experimental Design. Factorial, optimal, and sequential experimental designs. This page collects canonical references that organise the subject and provide entry points to its main techniques.

Foundations and canonical references

The standard treatments of experimental design approach the subject from complementary angles. Montgomery, Design and Analysis of Experiments (2017) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.

Open methodological questions for experimental design include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.

Prerequisites

Sources

  • textbook · primary · 2017
    Design and Analysis of Experiments
    montgomery-douglas-2017

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  1. 01

    Optimal Design Theory

    A-, D-, and E-optimality for parameter estimation.
  2. 02

    Sequential and Adaptive Designs

    Wald sequential analysis, multi-armed bandits, and adaptive trials.

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