arXiv Open Access 2025

Optimal design of experiments with quantitative-sequence factors

Yaping Wang Sixu Liu Qian Xiao

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Abstrak

A new type of experiment with joint considerations of quantitative and sequence factors is recently drawing much attention in medical science, bio-engineering, and many other disciplines. The input spaces of such experiments are semi-discrete and often very large. Thus, efficient and economical experimental designs are required. Based on the transformations and aggregations of good lattice point sets, we construct a new class of optimal quantitative-sequence (QS) designs that are marginally coupled, pair-balanced, space-filling, and asymptotically orthogonal. The proposed QS designs have a certain flexibility in run and factor sizes and are especially appealing for high-dimensional cases.

Topik & Kata Kunci

stat.ME

Penulis (3)

Yaping Wang

Sixu Liu

Qian Xiao

Format Sitasi

APA MLA BibTeX

Wang, Y., Liu, S., Xiao, Q. (2025). Optimal design of experiments with quantitative-sequence factors. https://arxiv.org/abs/2502.03241

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓