2026-10-12T19:59:12Z https://api.figshare.com/v2/oai

oai:figshare.com:article/33995924 2026-09-25T15:35:23Z category_146 category_13 category_21 category_734 category_931 category_811 portal_87 item_type_3 month_year_09_2026

Hamming Weight Uniform Designs for Order-of-Addition Experiments Yuwei Song (9196503) Min-Qian Liu (820138) Jianbin Chen (2162650) Space Science Genetics Biotechnology Biological Sciences not elsewhere classified Information Systems not elsewhere classified Mathematical Sciences not elsewhere classified Order of addition design Discrete discrepancy Pairwise ordering model <p>Order-of-addition (OofA) designs study systems where outcomes depend on the sequences of components. Existing designs often rely on specific parametric models, leading to fragile inference when models are misspecified. This paper bridges the methodological gap in model-robust OofA design by introducing Hamming weight as a novel uniformity metric. Theoretical properties of Hamming weight distributions within the full designs are established, enabling the efficient construction of Hamming weight uniform designs (HWUDs). HWUDs ensure estimator consistency, maintain asymptotic equivalence to full designs, and deliver robust performance across diverse models. Additionally, HWUDs provide a design-based, model-robust framework for channel attribution problems. Empirical results on real-world data demonstrate that HWUDs achieve substantial improvements in both statistical accuracy and computational efficiency over current approaches.</p> 2026-09-25T15:35:23Z Dataset Dataset 10.6084/m9.figshare.33995924.v1 https://figshare.com/articles/dataset/Hamming_Weight_Uniform_Designs_for_Order-of-Addition_Experiments/33995924 CC BY 4.0