Criteria for checking hypotheses about randomness and lack of trend. Guide to use

The monograph discusses the application of statistical criteria focused on checking hypotheses about the absence of a trend in the analyzed samples. Deviation of such a hypothesis gives reason to consider the analyzed data as samples of independent equally distributed random values. Many special criteria are considered, focused on checking this kind of hypotheses, as well as many criteria of homogeneity of laws, homogeneity of medium and homogeneity of dispersions, which can also be applied for these purposes. The disadvantages and advantages of various criteria are emphasized, the application of criteria in conditions of violation of standard assumptions is considered. Assessments of the power of criteria are given, which allows you to navigate when choosing the most preferred criteria. Following the recommendations will ensure correctness and increase the validity of statistical conclusions in data analysis.
It is designed for specialists who are interested in the application of statistical methods for the analysis of various aspects and trends of the surrounding reality and in contact with the processing of experimentation results, the need to analyze data. It will be useful to engineers, researchers, specialists of various profiles (doctors, biologists, sociologists, economists, etc) who are faced in their activities with the need for statistical analysis of experiments. It will also be useful to university teachers, graduate students and students