Circuit bases for randomisation

TL;DR

This paper introduces an algebraic circuit-based method for designing randomisation schemes, enhancing the ability to measure parameters accurately while controlling for biases in various experimental contexts.

Contribution

It presents a novel algebraic approach using circuits to generate diverse randomisation schemes, applicable beyond traditional clinical trials.

Findings

Provides a systematic way to construct randomisation schemes

Enables bias control in complex experimental designs

Offers a flexible framework for parameter measurement

Abstract

After a rich history in medicine, randomisation control trials both simple and complex are in increasing use in other areas such as web-based AB testing and planning and design decisions. A main objective is to be able to measure parameters, and contrasts in particular, while guarding against biases from hidden confounders. After careful definitions of classical entities such as contrasts, an algebraic method based on circuits is introduced which gives a wide choice of randomisation schemes.