GENERAL MINIMUM LOWER ORDER CONFOUNDING IN BLOCK DESIGNS USING COMPLEMENTARY SETS

Rahul Mukerjee · Runchu Zhang

29 citations0/0 files stored

No readable copy stored yet — this record is metadata only.

No open-access location is known for this record yet.

Literature note Cite in a project Citation map

Optimal Experimental Design Methods Advanced Combinatorial Mathematics Coding theory and cryptography

Abstract

We consider regular fractions of s-level factorials arranged in block de- signs. Optimal designs are explored under the criterion of general minimum lower order confounding which aims, in an elaborate manner, at keeping the lower order factorial effects unaliased with one another and unconfounded with blocks. A finite projective geometric formulation, that identifies the alias sets with the points and the blocking system with a flat of the geometry, forms the mathematical basis of our approach. Theoretical results and tables are obtained in terms of complementary sets and an idea of double complementation is found to be useful in some situations.

Paper brief

Loading…

Cite this work

Citation unavailable for this work.

BibTeX RIS CSL-JSON

No public copy is stored for this record, so only the metadata is cited.

Citations in this library

Citation map →

Stored only when both papers are in the corpus — 29 citations exist upstream.

References

2001Experiments - Planning, Analysis and Parameter Design Optimization 1993A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs 2006A Modern Theory of Factorial Designs 1996Characterization of minimum aberration $2\sp {n-k}$ designs in terms of their complementary designs 1996$2\sp {n-l}$ designs with weak minimum aberration 1997Fractional Resolution and Minimum Aberration in Blocked 2 n-k Designs 2002Choice of Optimal Blocking Schemes in Two-Level and Three-Level Designs 1997Some identities on $q\sp {n-m}$ designs with application to minimum aberration designs

Explore the map →

Papers that cite the same references — the relational fallback while embeddings are still backfilling.

Imported from OpenAlex (CC0) — nothing here is generated.