The reviewers:

RNDr. Ivan Havlíček, CSc.

Assoc. Prof. Ing. Vladislav Pavlát, CSc.

Mgr. Petr Procházka

Assoc. Prof. PaeDr. Jana Škrabánková, CSc.

The applications of descriptive and mathematical statistics and probability theory in an investigation of the collective random phenomena are the subject of probability and statistics. To describe these applications it is necessary to first be concerned with descriptive and mathematical statistics and probability theory. In view of the fact that the extent of the probability and statistics presentation is to a certain degree limited (due to the study text orientation to concrete branches of study) it will be effective to acquaint ourselves above all with main statistical methods, continuously to illustrate them by the assigned example, by the survey of acquired concepts and the check questions, marginally to touch of some concepts of probability theory and finally to approach the applications. The studies of so structured orientation is although accessible for attendance and combined form of study, it cannot, however, be confused with a continuous and coherent study of statistics and probability theory as a separate scientific disciplines. The structure of presentation will be introduced by analytical-synthetic model of the structure of statistics as a whole. This model can be used for the immediate classification of statistical method and for the immediate location of previous and follow-up methods. The model also has a significant cognitive dimension – it is showing which the operations of analysis, abstraction and synthesis are to be carried out to be complete the adoption of relevant statistical method. The presented model in figure Fig.1 contains the four partial analytical-synthetic structures. The model in figure Fig.1, the legend to figure Fig.1 and the description of component structural parts is presented only in English. Following a short part of text presented only in English represents data mining approach to the study of the principles of statistics and several needful concepts of probability. The data mining approach enables to work with the integral concepts and knowledge pieces in their system shape (see analytical-synthetic model). The data mining 6 approach is explained in Part.3 “Applications” more detail. The immediate structural orientation, showing which part of the statistics and its probability applications is just acquired in the course of the study, isn´t useless. It is always good to know whether the selective statistical set (SSS) is “only” determined (the first partial structure from element a-1 up to element e-1), whether the empirical picture of set SSS is already created (the second partial structure from element a-2 up to element e-2) or whether the probability picture of set SSS is already even explored (the third partial structure from element a-3 up to element e-3) or whether it was already entered to the process of creation of the associative picture of set SSS (the fourth partial structure from element a-4 up to element e-4). In addition, the study of the texts in English is needful assumption for the study of foreign literature.

© CURRICULUM 2017. Second edition.