The University of Southampton
University of Southampton Institutional Repository

The analysis of ranked data in blocked factorial experiments.

Prescott, Philip and Shahlaee, Rahim (1999) The analysis of ranked data in blocked factorial experiments. Metrika, 50, (1), pp. 37-54. (doi:10.1007/s001840050034).

Record type: Article


A non-parametric method for the analysis of blocked factorial experiments, based on ranking within blocks, is proposed and shown to be equivalent to partitioning Friedman's test statistic into a set of contrasts reflecting polynomial components of the main effects and interaction. A slightly modified version of the procedure is suggested to partially overcome the problem of loss of power to detect one component when the model includes other components. This alternative procedure is shown to be equivalent to applying a standard normal theory analysis of variance to the ranks. The null distributions and power comparisons are investigated using simulation methods, and it is shown that the non-parametric methods are almost as powerful as the analysis of variance.

Full text not available from this repository.

More information

Published date: 1999
Keywords: analysis of variance, blocking in factorial experiments, friedman's test, orthogonal contrasts, ranking
Organisations: Statistics


Local EPrints ID: 29982
PURE UUID: 676dcf2e-a8fd-42f1-a78e-570e25daf01a

Catalogue record

Date deposited: 16 Mar 2007
Last modified: 17 Jul 2017 15:56

Export record



Author: Philip Prescott
Author: Rahim Shahlaee

University divisions

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 supports OAI 2.0 with a base URL of

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.