ABSTRACT
Many scientific investigations begin by asking the question of whether or not one or more specified quantities are related to some other specified quantity. A procedure to furnish an answer to a yes-no question based on statistical data is called a test of hypotheses. For historical reasons, H0 is called the null hypothesis and in the medical and agricultural area usually corresponds to a situation of no change in the effect of a new treatment compared to the old standard, or of no change in the characteristics of some new strain compared to the one in current use. One aspect of testing hypotheses that will become apparent from the examples to follow, is that the test procedures being presented depend critically on both the null hypothesis,H0 and the alternative hypothesis,H1. The test statistic for the Kolmogorov-Smirnov (K-S) is the maximum vertical distance between the two empirical distribution functions.
