# EBook:Print versions

Jump to: navigation, search

Note: current version of this book can be found at http://wiki.stat.ucla.edu/socr/index.php/EBook

# Table of contents

## Preface

Format
Learning and Instructional Usage

## Chapter I: Introduction to Statistics

The Nature of Data and Variation
Uses and Abuses of Statistics
Design of Experiments
Statistics with Tools (Calculators and Computers)

## Chapter II: Describing, Exploring, and Comparing Data

Types of Data
Summarizing Data with Frequency Tables
Pictures of Data
Measures of Central Tendency
Measures of Variation
Measures of Shape
Statistics
EBook/Graphs and Exploratory Data Analysis

## Chapter III: Probability

Fundamentals
Rules for Computing Probabilities
Probabilities Through Simulations
Counting

## Chapter IV: Probability Distributions

Random Variables
Expectation (Mean) and Variance
Bernoulli and Binomial Experiments
Multinomial Experiments
Geometric, Hypergeometric and Negative Binomial
Poisson Distribution

## Chapter V: Normal Probability Distribution

The Standard Normal Distribution
Nonstandard Normal Distribution: Finding Probabilities
Nonstandard Normal Distribution: Finding Scores (Critical Values)

## Chapter VI: Relations Between Distributions

The Central Limit Theorem
Law of Large Numbers
Normal Distribution as Approximation to Binomial Distribution
Poisson Approximation to Binomial Distribution
Binomial Approximation to HyperGeometric
Normal Approximation to Poisson

## Chapter VII: Point and Interval Estimates

Estimating a Population Mean: Large Samples
Estimating a Population Mean: Small Samples
Student's T distribution
Estimating a Population Proportion
Estimating a Population Variance

## Chapter VIII: Hypothesis Testing

Fundamentals of Hypothesis Testing
Testing a Claim about a Mean: Large Samples
Testing a Claim about a Mean: Small Samples
Testing a Claim about a Proportion
Testing a Claim about a Standard Deviation or Variance

## Chapter IX: Inferences From Two Samples

Inferences About Two Means: Dependent Samples
Inferences About Two Means: Independent Samples
Comparing Two Variances
Inferences about Two Proportions

## Chapter X: Correlation and Regression

Correlation
Regression
Variation and Prediction Intervals
Multiple Regression

One-Way ANOVA
Two-Way ANOVA

## Chapter XII: Non-Parametric Inference

Differences of Medians (Centers) of Two Paired Samples
Differences of Medians (Centers) of Two Independent Samples
Differences of Proportions of Two Samples
Differences of Means of Several Independent Samples
Differences of Variances of Two Independent Samples

## Chapter XIII: Multinomial Experiments and Contingency Tables

Multinomial Experiments: Goodness-of-Fit
Contingency Tables: Independence and Homogeneity