Abstract
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.
| Translated title of the contribution | Optimal design of experiments with quantitative-sequence factors |
|---|---|
| Original language | Chinese (Traditional) |
| Pages (from-to) | 393-416 |
| Number of pages | 24 |
| Journal | Scientia Sinica Mathematica |
| Volume | 56 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2026 |