Criteria for testing hypotheses about uniformity. Application manual

The guide discusses the use of statistical criteria focused on the testing of hypotheses about uniformity of laws, which belong to the analyzed sample, of the homogeneous medium (about equality of the mathematical expectations), about the homogeneity of variance (equality of variances of compared samples). The disadvantages and advantages of various criteria are indicated, and the application of criteria in conditions of violation of standard assumptions is considered. Tables containing percentage points and statistical distribution models necessary for the correct application of the criteria are provided. This publication describes a broader set of criteria. Constructed models of marginal distributions of statistics for some sample criteria of law uniformity are proposed. Following the recommendations will ensure the correctness and validity of statistical conclusions when analyzing data. It is intended for specialists who are more or less faced with the issues of statistical data analysis, processing the results of experiments, and using statistical methods to analyze various aspects and trends of the surrounding reality. It will be useful for engineers, researchers, specialists in various fields (doctors, biologists, sociologists, economists, etc.), University teachers, graduate students and students.