Statistics Quick Study Guide

Boost Your grades with this illustrated quick-study guide. You will use it from an undergraduate school all the way to graduate school and beyond. 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.