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Statistics Study Guide
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Written in concise and clear English
Illustrated with graphs and diagrams
Use your down time to prepare for an exam.
Includes Glossary of probability and statistics
Table of Contents
Introduction: History | Conceptual overview | Statistical methods | Specialized disciplines | Software
Probability: Event | Statistical Independence | Interpretations | Classical definition | Permutation | Combination | Random element | Random variable | Random Vector
Rules of Probability: Probability Axioms | Odds | Probability Theory | Bayesian Probability
Expectations and Decisions: Mathematical Expectation | Decision Theory | Chebyshev''s Inequality
Probability Distribution: Discrete Probability Distribution | Bernoulli Distribution | Binomial Distribution | Hypergeometric Distribution | Poisson Distribution | Multinomial Distribution | Standard Deviation | Chi-square Distribution | Student''s t-Distribution
Normal Distribution: Continuous Probability Distribution | Normal Distribution | Infinite Divisibility
Sampling: Simple Random Sample | Sampling Distribution | Central Limit Theorem
Tests of Hypotheses: Null Hypothesis | Statistical Hypothesis Testing | Pearson''s Chi-square test | Student''s t-test | Z-test | General Linear Model | ANOVA | Generating Function | Non-parametric Statistics
Regression: Regression Analysis | Linear Model | Linear Regression | Nonlinear Regression | Kernel Regression | Robust Regression
Correlation: Pearson''s product-moment coefficient | Non-parametric correlation coefficients | Other measures of dependence among random variables | Copulas and correlation | Correlation matrices
Applications: Borel algebra | Cumulative Distribution Function | Probability Mass Function
