Physical Sciences and Mathematics Commons^™

Variance Testing With Simplicial Data Depth, Karen J. Mcgaughey, George A. Milliken

Conference on Applied Statistics in Agriculture

A method is developed and studied for testing equality of variances based on simplicial data depth and Mood's nonparametric test in the case of two samples. A method for calculating univariate simplicial data depth using a rank transformation is introduced. Type I error rates and power curves are compared for three existing tests for equality of variances and the data depth test using data simulated from the nonnal distribution and 5 nonnormal distributions. In addition, a new method of aligning two samples with unequal location parameters is proposed. This method shows significant improvement over aligning by either the median or …