When we have data sampling, we are always interested in its characteristics: which law of distribution this data suits the most, what is the mean and variance of the sample, and many other features. However, the verification of these characteristics gives only a probable answer, since we cannot say for sure when we are dealing with random data. There is an entire set of tests that verify this; however, with the help of Mathematica, this check is reduced to two strings of code and you get a quick answer to the question. In this chapter, you will learn the following:
How to verify that the mean value or the sampling variance is commensurate with a certain quantity
How to verify that the mean values or the variances of two or more samples are commensurable with each other
How to test two samples for mutual independence or correlation
How do I know whether a sample corresponds to a distribution law?