I Descriptive Statistics-Compressing Data -- 1 Why One Needs to Analyze Data -- 2 Data Representation and Compression -- 3 Analytic Representation of Random Experimental Data -- II Modeling Uncertainty -- 4 Algorithmic Complexity and Random Strings -- 5 Statistical Independence and Kolmogorovโ{128}{153}s Probability Theory -- 6 Chaos in Dynamical Systems: How Uncertainty Arises in Scientific and Engineering Phenomena -- III Model Specification-Design of Experiments -- 7 General Principles of Statistical Analysis -- 8 Statistical Inference for Normal Populations -- 9 Analysis of Variance -- A Uncertainty Principle in Signal Processing and Quantum Mechanics -- B Fuzzy Systems and Logic -- C A Critique of Pure Reason -- D The Remarkable Bernoulli Family -- F Tables