A comparison of type I error and power of the aligned rank method using means and medians for alignment
dc.contributor.author | Yates, Heath Landon | |
dc.date.accessioned | 2011-05-02T16:29:34Z | |
dc.date.available | 2011-05-02T16:29:34Z | |
dc.date.graduationmonth | May | en_US |
dc.date.issued | 2011-05-02 | |
dc.date.published | 2011 | en_US |
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.description.advisor | James J. Higgins | en_US |
dc.description.degree | Master of Science | en_US |
dc.description.department | Department of Statistics | en_US |
dc.description.level | Masters | en_US |
dc.identifier.uri | http://hdl.handle.net/2097/8548 | |
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.subject.umi | Statistics (0463) | 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 |