Two nonparametric tests are presented for analyzing data from a one-way layout. Their principal characteristic is ease in computation. One test is intended for k samples of equal size n, and the other is for k samples of possibly unequal sample sizes. Both tests may be regarded as generalizations of Mosteller's slippage test. Multiple decision aspects of both tests are discussed. Monte Carlo studies show the first test to be more powerful than the F test in some situations, such as when the populations are normal and the larger means are accompanied by larger variances. Tables of critical values are presented. Copyright Taylor & Francis.