1 - 4 of 4 Chapters
[Statistics deals with the collection and interpretation of data. This chapter lays a foundation that allows to rigorously describe non-deterministic processes and to reason about non-deterministic quantities. The mathematical framework is given by probability theory, whose objects of interest...
[Estimation is the inference of properties of a distribution from an observed random sample. Estimators can be derived by various approaches. To quantify the quality of a given estimate, confidence intervals can be computed; the bootstrap is a general purpose method for this. Vulnerability of...
[Testing provides the formal framework to reject or not reject a hypothesis on parameters, depending on whether it is supported by given data. Test levels and p-values allow to quantify the chances of false rejections due to the randomness of the data. Correct interpretation of test results is...
[Regression analysis describes the influence of covariates on a response variable. Two regression models are discussed: linear regression on one or several covariates and analysis-of-variance. Methods for estimating the respective model parameters and hypothesis tests for eliminating...
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