Chapter 4

Inferential Statistics I: Basic Concepts

Abstract

This chapter introduces the fundamental concepts of inferential statistics. The basic principles of probability theory are outlined, including the addition and multiplication laws and the concept of a probability distribution. Special focus is given to the normal or Gaussian distribution. The chapter describes the central limit theorem and the implications that it has for inferential statistics. Based on the central limit theorem, two measures of reliability for estimates of population statistics of central tendency are introduced: the standard error of the mean and confidence intervals of the mean. The chapter closes with an overview of MATLAB's capabilities with regard to probability ...

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