k-Sample Maximum Likelihood Ratio Test for Change of Weibull Shape Parameter

A k-sample maximum likelihood ratio (MLR) test is derived to test equality of shape parameters for 2-parameter Weibull populations. The test is independent of the scale parameters, and the power depends on ratios of the shape parameters. Critical points and power calculations were obtained by Monte Carlo techniques for k = 2. The MLR test is equivalent to the MLR test of scale parameters for the extreme value distribution.