Master of Science / Department of Statistics / James J. Higgins / 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.
| Identifer | oai:union.ndltd.org:KSU/oai:krex.k-state.edu:2097/8548 |
| Date | January 1900 |
| Creators | Yates, Heath Landon |
| Publisher | Kansas State University |
| Source Sets | K-State Research Exchange |
| Language | en_US |
| Detected Language | English |
| Type | Report |
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