A new statistic in the one-way multivariate analysis of variance

In the multivariate one-way analysis of variance a test statistic based solely on the rank orders of the data is proposed. In the two group case the statistic simplifies to a test of Puri and Sen [19]. Monte Carlo simulation techniques are used to evaluate the performance of the test statistic under various distributions. These evaluation include the simulated significance levels and power functions. By the nature of the proposed test it is evident that the new procedure is easier to implement than other existing rank based tests.