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), 37-54. (doi:10.1007/s001840050034).

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Original Publication URL: http://dx.doi.org/10.1007/s001840050034

Description/Abstract

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.

Item Type: Article
ISSNs: 0026-1335 (print)
Related URLs:
Keywords: analysis of variance, blocking in factorial experiments, friedman's test, orthogonal contrasts, ranking
Subjects: Q Science > QA Mathematics
H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 29982
Date Deposited: 16 Mar 2007
Last Modified: 27 Mar 2014 18:18
URI: http://eprints.soton.ac.uk/id/eprint/29982

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