Absbaa A new and very simple test for uniformity is proposed. An exact formula for the distribution under Ho of the corresponding test statistic is derived. This formula is only suitable for computeroriented use. For other circumstances a table of critical values is given. The power of the test is compared with that of two well-known alternatives: the ?-test and the Kolmogorov-Smirnov test.Mi is e = n / k for each cell. So this hypothesis can be tested with A well-known test for uniformity is the following. Under Ho the expectation of 2 will be approximately distributed as d-l, and the approximation will be reasonable if e>5. Therefore n should be at least 10. The next sections will offer tests that allow smaller samples.