Generation of all randomizations using circuits

After a rich history in medicine, randomized control trials (RCTs), both simple and complex, are in increasing use in other areas, such as web-based A/B testing and planning and design of decisions. A main objective of RCTs is to be able to measure parameters, and contrasts in particular, while guar...

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Bibliographic Details
Published in:Annals of the Institute of Statistical Mathematics 2023-08, Vol.75 (4), p.683-704
Main Authors: Pesce, Elena, Rapallo, Fabio, Riccomagno, Eva, Wynn, Henry P.
Format: Article
Language:English
Subjects:
Circuits
Economics
Finance
Insurance
Management
Mathematics
Mathematics and Statistics
Randomization
Statistics
Statistics for Business
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Summary:After a rich history in medicine, randomized control trials (RCTs), both simple and complex, are in increasing use in other areas, such as web-based A/B testing and planning and design of decisions. A main objective of RCTs 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 randomization schemes.
ISSN:0020-3157
1572-9052
DOI:10.1007/s10463-022-00860-4