On the existence of linear trend-free block designs

John Stufken

doi:10.1080/03610928808829840

On the existence of linear trend-free block designs

John Stufken

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We present a class of counterexamples for a conjecture on the existence of linear trend-free block designs. We will also prove a considerably weakened version of this conjecture, which will determine all combinations of design parameters for which the class of linear trend-free block designs is non-empty.

Original language	English (US)
Pages (from-to)	3857-3863
Number of pages	7
Journal	Communications in Statistics - Theory and Methods
Volume	17
Issue number	11
DOIs	https://doi.org/10.1080/03610928808829840
State	Published - Jan 1 1988
Externally published	Yes

Keywords

design Construction
eliminating linear trend effects
incomplete block designs
kronecker product designs

ASJC Scopus subject areas

Statistics and Probability

Access to Document

10.1080/03610928808829840

Cite this

@article{b4fe326a35e245e5a571b2e32ac447ae,

title = "On the existence of linear trend-free block designs",

abstract = "We present a class of counterexamples for a conjecture on the existence of linear trend-free block designs. We will also prove a considerably weakened version of this conjecture, which will determine all combinations of design parameters for which the class of linear trend-free block designs is non-empty.",

keywords = "design Construction, eliminating linear trend effects, incomplete block designs, kronecker product designs",

author = "John Stufken",

year = "1988",

month = jan,

day = "1",

doi = "10.1080/03610928808829840",

language = "English (US)",

volume = "17",

pages = "3857--3863",

journal = "Communications in Statistics - Theory and Methods",

issn = "0361-0926",

publisher = "Taylor and Francis Ltd.",

number = "11",

}

TY - JOUR

T1 - On the existence of linear trend-free block designs

AU - Stufken, John

PY - 1988/1/1

Y1 - 1988/1/1

N2 - We present a class of counterexamples for a conjecture on the existence of linear trend-free block designs. We will also prove a considerably weakened version of this conjecture, which will determine all combinations of design parameters for which the class of linear trend-free block designs is non-empty.

AB - We present a class of counterexamples for a conjecture on the existence of linear trend-free block designs. We will also prove a considerably weakened version of this conjecture, which will determine all combinations of design parameters for which the class of linear trend-free block designs is non-empty.

KW - design Construction

KW - eliminating linear trend effects

KW - incomplete block designs

KW - kronecker product designs

UR - https://www.scopus.com/pages/publications/0009268941

UR - https://www.scopus.com/pages/publications/0009268941#tab=citedBy

U2 - 10.1080/03610928808829840

DO - 10.1080/03610928808829840

M3 - Article

AN - SCOPUS:0009268941

SN - 0361-0926

VL - 17

SP - 3857

EP - 3863

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 11

ER -

On the existence of linear trend-free block designs

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this