EBook:Print versions
Note: current version of this book can be found at http://wiki.stat.ucla.edu/socr/index.php/EBook
Contents
- 1 Table of contents
- 1.1 Preface
- 1.2 Chapter I: Introduction to Statistics
- 1.3 Chapter II: Describing, Exploring, and Comparing Data
- 1.4 Chapter III: Probability
- 1.5 Chapter IV: Probability Distributions
- 1.6 Chapter V: Normal Probability Distribution
- 1.7 Chapter VI: Relations Between Distributions
- 1.8 Chapter VII: Point and Interval Estimates
- 1.9 Chapter VIII: Hypothesis Testing
- 1.10 Chapter IX: Inferences From Two Samples
- 1.11 Chapter X: Correlation and Regression
- 1.12 Chapter XI: Analysis of Variance (ANOVA)
- 1.13 Chapter XII: Non-Parametric Inference
- 1.14 Chapter XIII: Multinomial Experiments and Contingency Tables
- 1.15 Additional EBook Chapters (under Development)
Table of contents
Preface
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
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
Chapter XI: Analysis of Variance (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
