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Dispersion Measures and Analysis for Factorial Directional Data with Replicates
Author(s) -
Anderson Christine M.,
Wu C. F. Jeff
Publication year - 1996
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.2307/2986222
Subject(s) - dispersion (optics) , statistics , factorial , factorial experiment , fractional factorial design , factorial analysis , econometrics , mathematics , optics , physics , mathematical analysis
SUMMARY Determining the nature of the connection between a number of factors and the spread of a directional response in industrial experiments has not been considered much in the literature. Several dispersion measures are explored and their relationships described. The circular variance is a good dispersion measure that transforms the angular dispersion into a statistic measured on a linear scale. Once this transformation has been performed, established techniques for analysis can be employed for analysing factor influences on the directional dispersion. The method proposed is used to analyse data from an experiment involving the balancing of automotive flywheels.