Concrete Statistics
Emanuel Parzen · 2020
This chapter aims to attention of users and marketers of statistical methods ideas the foundations of the technology of statistical methods that we believe can help them continuously improve the quality of the practice of statistics. Concrete statistics proposes that one justification of methods of statistical data analysis could be that they are analogies with concepts of probability theory. Concrete statistics seeks to develop methods of statistical data analysis that systematically explore analogies with probability theory of random variables. The approach of concrete statistical data analysis is to introduce various concepts for populations, and then to define analogous concepts for sample distributions. The quantile domain provides many new tools for studying the relation between random variables X and Y. A formula for correlation coefficient in the quantile domain is obtained by using conditional expectations. Concrete statistics has its aim developing analogous methods for discrete and continuous data analysis.