Statistics Study Guide

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Statistics 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



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