The analytical review of tests for randomness and the absence of av trend

Annotation - For a variety of parametric and nonparametric tests, designed to test hypotheses of randomness or absence of a trend the distribution of statistics were investigated with Monte-Carlo algorithm, corresponding to the truth of the hypothesis under test in accordance with sample sizes. Procedure of interactive simulation of statistic distributions tests is proposed and implemented that allowed to apply the relevant test correctly in conditions of violation of standard assumptions. The results of comparative analysis of power of the tests against competing hypotheses hypothesis with different models of linear trend, conclusions about preferability of using a particular test are made.