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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

Chapter XI: Analysis of Variance (ANOVA)

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

Additional EBook Chapters (under Development)



Format

EBook/Format

Learning and Instructional Usage

EBook/Learning and Instructional Usage

The Nature of Data and Variation

EBook/The Nature of Data and Variation

Uses and Abuses of Statistics

EBook/Uses and Abuses of Statistics

Design of Experiments

EBook/Design of Experiments

Statistics with Tools (Calculators and Computers)

EBook/Statistics with Tools (Calculators and Computers)


Types of Data

EBook/Types of Data

Summarizing Data with Frequency Tables

EBook/Summarizing Data with Frequency Tables

Pictures of Data

EBook/Pictures of Data

Measures of Central Tendency

EBook/Measures of Central Tendency

Measures of Variation

EBook/Measures of Variation

Measures of Shape

EBook/Measures of Shape

Statistics

EBook/Statistics

Graphs and Exploratory Data Analysis

EBook/Graphs and Exploratory Data Analysis

Fundamentals

EBook/Fundamentals

Rules for Computing Probabilities

EBook/Rules for Computing Probabilities

Probabilities Through Simulations

EBook/Probabilities Through Simulations

Counting

EBook/Counting

Random Variables

EBook/Random Variables

Expectation (Mean) and Variance

EBook/Expectation (Mean) and Variance

Bernoulli and Binomial Experiments

EBook/Bernoulli and Binomial Experiments

Multinomial Experiments

EBook/Multinomial Experiments

Geometric, Hypergeometric and Negative Binomial

EBook/Geometric, Hypergeometric and Negative Binomial

Poisson Distribution

EBook/Poisson Distribution

The Standard Normal Distribution

EBook/The Standard Normal Distribution

Nonstandard Normal Distribution: Finding Probabilities

EBook/Nonstandard Normal Distribution: Finding Probabilities

Nonstandard Normal Distribution: Finding Scores (Critical Values)

EBook/Nonstandard Normal Distribution: Finding Scores (Critical Values)


The Central Limit Theorem

EBook/The Central Limit Theorem

Law of Large Numbers

EBook/Law of Large Numbers

Normal Distribution as Approximation to Binomial Distribution

EBook/Normal Distribution as Approximation to Binomial Distribution

Poisson Approximation to Binomial Distribution

EBook/Poisson Approximation to Binomial Distribution

Binomial Approximation to HyperGeometric

EBook/Binomial Approximation to HyperGeometric

Normal Approximation to Poisson

EBook/Normal Approximation to Poisson


Estimating a Population Mean: Large Samples

EBook/Estimating a Population Mean: Large Samples

Estimating a Population Mean: Small Samples

EBook/Estimating a Population Mean: Small Samples

Student's T distribution

EBook/Student's T distribution

Estimating a Population Proportion

EBook/Estimating a Population Proportion

Estimating a Population Variance

EBook/Estimating a Population Variance


Fundamentals of Hypothesis Testing

EBook/Fundamentals of Hypothesis Testing

Testing a Claim about a Mean: Large Samples

EBook/Testing a Claim about a Mean: Large Samples

Testing a Claim about a Mean: Small Samples

EBook/Testing a Claim about a Mean: Small Samples

Testing a Claim about a Proportion

EBook/Testing a Claim about a Proportion

Testing a Claim about a Standard Deviation or Variance

EBook/Testing a Claim about a Standard Deviation or Variance


Inferences About Two Means: Dependent Samples

EBook/Inferences About Two Means: Dependent Samples

Inferences About Two Means: Independent Samples

EBook/ Inferences About Two Means: Independent Samples

Comparing Two Variances

EBook/ Comparing Two Variances

Inferences about Two Proportions

EBook/Inferences about Two Proportions

Correlation

EBook/Correlation

Regression

EBook/Regression

Variation and Prediction Intervals

EBook/Variation and Prediction Intervals

Multiple Regression

EBook/Multiple Regression


One-Way ANOVA

EBook/One-Way ANOVA

Two-Way ANOVA

EBook/Two-Way ANOVA


Differences of Medians (Centers) of Two Paired Samples

EBook/Differences of Medians (Centers) of Two Paired Samples

Differences of Medians (Centers) of Two Independent Samples

EBook/Differences of Medians (Centers) of Two Independent Samples

Differences of Proportions of Two Samples

EBook/Differences of Proportions of Two Samples

Differences of Means of Several Independent Samples

EBook/Differences of Means of Several Independent Samples

Differences of Variances of Two Independent Samples

EBook/Differences of Variances of Two Independent Samples


Multinomial Experiments: Goodness-of-Fit

EBook/Multinomial Experiments: Goodness-of-Fit

Contingency Tables: Independence and Homogeneity

EBook/Contingency Tables: Independence and Homogeneity

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