Balanced Factorial Designs

Anant M. Kshirsagar

33 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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 Statistical Methods and Applications

Abstract

Summary Kurkjian and Zelen (1963) have proved that factorial designs possessing a particular structure for their C matrix (they call this property A) are factorially balanced. This paper proves the converse of this result, viz. factorially balanced designs are (a) EGD/(2n - 1)-PBIB designs as defined by Hinkelmann (1964), and (b) possess property A. The latent roots and vectors of the C matrix of such designs are obtained in a much simpler form than that given by Hinkelmann.

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 — 33 citations exist upstream.

References

1952The Design and Analysis of Experiments 1962A Calculus for Factorial Arrangements 1963Applications of the Calculus of Factorial Arrangements.: I. Block and Direct Product Designs 1958On Balancing in Factorial Experiments

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.