Modified Baumgartner statistics for the two-sample and multisample problems: a numerical comparison
Various non-parametric rank tests based on the Baumgartner statistic have been proposed for testing the location, scale and location-scale parameters. The modified Baumgartner statistics are not suitable for the scale shifts for a two-sample problem. Two modified Baumgartner statistics are proposed by changing the weight function. The suggested statistics are extended to the multisample problem. Some exact critical values of the suggested test statistics are evaluated. Simulations are used to investigate the power of the modified Baumgartner statistics.
baumgartner statistic exact critical value two-sample test multisample test