The University of Southampton
University of Southampton Institutional Repository

Robustness of diallel cross designs to the loss of one or more observations.

Robustness of diallel cross designs to the loss of one or more observations.
Robustness of diallel cross designs to the loss of one or more observations.
The effects of missing observations on complete and partial diallel cross designs are examined. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the line-effect differences with and without the missing observations. It is shown that, for small designs or when the number of lines is large, the reduction in efficiency for individual line comparisons can be quite large. When these designs are employed, care should be taken to ensure that individual observations are not lost.
balanced incomplete block design, complete diallel cross design, generalised inverse, partial diallel cross design
0167-9473
91-109
Prescott, Philip
cf0adfdd-989b-4f15-9e60-ef85eed817b2
Mansson, Ralph
9788f5c4-af4d-4cc5-94bc-a4922d637a5a
Prescott, Philip
cf0adfdd-989b-4f15-9e60-ef85eed817b2
Mansson, Ralph
9788f5c4-af4d-4cc5-94bc-a4922d637a5a

Prescott, Philip and Mansson, Ralph (2004) Robustness of diallel cross designs to the loss of one or more observations. Computational Statistics and Data Analysis, 47 (1), 91-109. (doi:10.1016/j.csda.2003.10.020).

Record type: Article

Abstract

The effects of missing observations on complete and partial diallel cross designs are examined. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the line-effect differences with and without the missing observations. It is shown that, for small designs or when the number of lines is large, the reduction in efficiency for individual line comparisons can be quite large. When these designs are employed, care should be taken to ensure that individual observations are not lost.

This record has no associated files available for download.

More information

Published date: 2004
Keywords: balanced incomplete block design, complete diallel cross design, generalised inverse, partial diallel cross design
Organisations: Statistics

Identifiers

Local EPrints ID: 30003
URI: http://eprints.soton.ac.uk/id/eprint/30003
ISSN: 0167-9473
PURE UUID: f0dc0981-342a-4ee9-8b6a-ccda6c1d1275

Catalogue record

Date deposited: 11 May 2006
Last modified: 15 Mar 2024 07:36

Export record

Altmetrics

Contributors

Author: Philip Prescott
Author: Ralph Mansson

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×