A comparison of type I error and power of the aligned rank method using means and medians for alignment

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dc.contributor.author Yates, Heath Landon
dc.date.accessioned 2011-05-02T16:29:34Z
dc.date.available 2011-05-02T16:29:34Z
dc.date.issued 2011-05-02
dc.identifier.uri http://hdl.handle.net/2097/8548
dc.description.abstract A simulation study was done to compare the Type I error and power of standard analysis of variance (ANOVA), the aligned rank transform procedure (ART), and the aligned rank transform procedure where alignment is done using medians (ART + Median). The methods were compared in the context of a balanced two-way factorial design with interaction when errors have a normal distribution and outliers are present in the data and when errors have the Cauchy distribution. The simulation results suggest that the nonparametric methods are more outlier-resistant and valid when errors have heavy tails in comparison to ANOVA. The ART + Median method appears to provide greater resistance to outliers and is less affected by heavy-tailed distributions than the ART method and ANOVA. en_US
dc.language.iso en_US en_US
dc.publisher Kansas State University en
dc.subject Nonparametrics en_US
dc.subject Align Rank Transform en_US
dc.subject Statistics en_US
dc.subject ANOVA en_US
dc.title A comparison of type I error and power of the aligned rank method using means and medians for alignment en_US
dc.type Report en_US
dc.description.degree Master of Science en_US
dc.description.level Masters en_US
dc.description.department Department of Statistics en_US
dc.description.advisor James J. Higgins en_US
dc.subject.umi Statistics (0463) en_US
dc.date.published 2011 en_US
dc.date.graduationmonth May en_US


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