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(New page: {{Print version notice|EBook|EBook/Print_version}} ''Note: current version of this book can be found at http://wiki.stat.ucla.edu/socr/index.php/EBook'' = Table of contents = == Prefac...)
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==  Preface ==
==  Preface ==
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:[[ Format]]
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:[[ EBook/Format|Format]]
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:[[ Learning and Instructional Usage]]
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:[[ EBook/Learning and Instructional Usage|Learning and Instructional Usage]]
== Chapter I: Introduction to Statistics ==
== Chapter I: Introduction to Statistics ==
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:[[ The Nature of Data and Variation]]
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:[[ EBook/The Nature of Data and Variation|The Nature of Data and Variation]]
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:[[ Uses and Abuses of Statistics]]
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:[[ EBook/Uses and Abuses of Statistics|Uses and Abuses of Statistics]]
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:[[ Design of Experiments]]
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:[[ EBook/Design of Experiments|Design of Experiments]]
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:[[ Statistics with Tools (Calculators and Computers)]]
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:[[ EBook/Statistics with Tools (Calculators and Computers)|Statistics with Tools (Calculators and Computers)]]
== Chapter II: Describing, Exploring, and Comparing Data ==
== Chapter II: Describing, Exploring, and Comparing Data ==
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:[[ Types of Data]]
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:[[ EBook/Types of Data|Types of Data]]
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:[[ Summarizing Data with Frequency Tables]]
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:[[ EBook/Summarizing Data with Frequency Tables|Summarizing Data with Frequency Tables]]
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:[[ Pictures of Data]]
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:[[ EBook/Pictures of Data|Pictures of Data]]
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:[[ Measures of Central Tendency]]
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:[[ EBook/Measures of Central Tendency|Measures of Central Tendency]]
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:[[ Measures of Variation]]
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:[[ EBook/Measures of Variation|Measures of Variation]]
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:[[ Measures of Shape]]
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:[[ EBook/Measures of Shape|Measures of Shape]]
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:[[ Statistics]]
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:[[ EBook/ Statistics|Statistics]]
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:[[ Graphs and Exploratory Data Analysis]]
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:[[ EBook/Graphs and Exploratory Data Analysis]]
== Chapter III: Probability ==
== Chapter III: Probability ==
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:[[ Fundamentals]]
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:[[ EBook/Fundamentals|Fundamentals]]
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:[[ Rules for Computing Probabilities]]
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:[[ EBook/Rules for Computing Probabilities|Rules for Computing Probabilities]]
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:[[ Probabilities Through Simulations]]
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:[[ EBook/Probabilities Through Simulations|Probabilities Through Simulations]]
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:[[ Counting]]
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:[[ EBook/Counting|Counting]]
== Chapter IV: Probability Distributions ==
== Chapter IV: Probability Distributions ==
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:[[ Random Variables]]
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:[[ EBook/Random Variables|Random Variables]]
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:[[ Expectation (Mean) and Variance]]
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:[[ EBook/Expectation (Mean) and Variance|Expectation (Mean) and Variance]]
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:[[ Bernoulli and Binomial Experiments]]
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:[[ EBook/Bernoulli and Binomial Experiments|Bernoulli and Binomial Experiments]]
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:[[ Multinomial Experiments]]
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:[[ EBook/Multinomial Experiments|Multinomial Experiments]]
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:[[ Geometric, Hypergeometric and Negative Binomial
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:[[ EBook/Geometric, Hypergeometric and Negative Binomial|Geometric, Hypergeometric and Negative Binomial  ]]
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:[[ Poisson Distribution]]
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:[[ EBook/Poisson Distribution|Poisson Distribution]]
== Chapter V: Normal Probability Distribution ==
== Chapter V: Normal Probability Distribution ==
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:[[ The Standard Normal Distribution]]
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:[[ EBook/The Standard Normal Distribution|The Standard Normal Distribution]]
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:[[ Nonstandard Normal Distribution: Finding Probabilities]]
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:[[ EBook/Nonstandard Normal Distribution: Finding Probabilities|Nonstandard Normal Distribution: Finding Probabilities]]
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:[[ Nonstandard Normal Distribution: Finding Scores (Critical Values)]]
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:[[ EBook/Nonstandard Normal Distribution: Finding Scores (Critical Values)|Nonstandard Normal Distribution: Finding Scores (Critical Values)]]
== Chapter VI: Relations Between Distributions ==
== Chapter VI: Relations Between Distributions ==
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:[[ The Central Limit Theorem]]
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:[[ EBook/The Central Limit Theorem|The Central Limit Theorem]]
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:[[ Law of Large Numbers]]
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:[[ EBook/Law of Large Numbers|Law of Large Numbers]]
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:[[ Normal Distribution as Approximation to Binomial Distribution]]
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:[[ EBook/Normal Distribution as Approximation to Binomial Distribution|Normal Distribution as Approximation to Binomial Distribution]]
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:[[ Poisson Approximation to Binomial Distribution]]
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:[[ EBook/Poisson Approximation to Binomial Distribution|Poisson Approximation to Binomial Distribution]]
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:[[ Binomial Approximation to HyperGeometric]]
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:[[ EBook/Binomial Approximation to HyperGeometric|Binomial Approximation to HyperGeometric]]
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:[[ Normal Approximation to Poisson]]
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:[[ EBook/Normal Approximation to Poisson|Normal Approximation to Poisson]]
== Chapter VII: Point and Interval Estimates ==
== Chapter VII: Point and Interval Estimates ==
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:[[ Estimating a Population Mean: Large Samples]]
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:[[ EBook/Estimating a Population Mean: Large Samples|Estimating a Population Mean: Large Samples]]
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:[[ Estimating a Population Mean: Small Samples]]
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:[[ EBook/Estimating a Population Mean: Small Samples|Estimating a Population Mean: Small Samples]]
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:[[ Student's T distribution]]
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:[[ EBook/Student's T distribution|Student's T distribution]]
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:[[ Estimating a Population Proportion]]
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:[[ EBook/Estimating a Population Proportion|Estimating a Population Proportion]]
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:[[ Estimating a Population Variance]]
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:[[ EBook/Estimating a Population Variance|Estimating a Population Variance]]
==  Chapter VIII: Hypothesis Testing ==
==  Chapter VIII: Hypothesis Testing ==
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:[[ Fundamentals of Hypothesis Testing]]
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:[[ EBook/Fundamentals of Hypothesis Testing|Fundamentals of Hypothesis Testing]]
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:[[ Testing a Claim about a Mean: Large Samples]]
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:[[ EBook/Testing a Claim about a Mean: Large Samples|Testing a Claim about a Mean: Large Samples]]
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:[[ Testing a Claim about a Mean: Small Samples]]
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:[[ EBook/Testing a Claim about a Mean: Small Samples|Testing a Claim about a Mean: Small Samples]]
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:[[ Testing a Claim about a Proportion]]
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:[[ EBook/Testing a Claim about a Proportion|Testing a Claim about a Proportion]]
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:[[ Testing a Claim about a Standard Deviation or Variance]]
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:[[ EBook/Testing a Claim about a Standard Deviation or Variance|Testing a Claim about a Standard Deviation or Variance]]
==  Chapter IX: Inferences From Two Samples ==
==  Chapter IX: Inferences From Two Samples ==
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:[[ Inferences About Two Means: Dependent Samples]]
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:[[ EBook/Inferences About Two Means: Dependent Samples|Inferences About Two Means: Dependent Samples]]
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:[[ Inferences About Two Means: Independent Samples]]
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:[[ EBook/Inferences About Two Means: Independent Samples|Inferences About Two Means: Independent Samples]]
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:[[ Comparing Two Variances]]
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:[[ EBook/Comparing Two Variances|Comparing Two Variances]]
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:[[ Inferences about Two Proportions]]
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:[[ EBook/Inferences about Two Proportions|Inferences about Two Proportions]]
==  Chapter X: Correlation and Regression ==
==  Chapter X: Correlation and Regression ==
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:[[ Correlation]]
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:[[ EBook/Correlation|Correlation]]
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:[[ Regression]]
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:[[ EBook/Regression|Regression]]
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:[[ Variation and Prediction Intervals]]
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:[[ EBook/Variation and Prediction Intervals|Variation and Prediction Intervals]]
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:[[ Multiple Regression]]
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:[[ EBook/Multiple Regression|Multiple Regression]]
==  Chapter XI: Analysis of Variance (ANOVA) ==
==  Chapter XI: Analysis of Variance (ANOVA) ==
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:[[ One-Way ANOVA ]]
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:[[ EBook/One-Way ANOVA|One-Way ANOVA ]]
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:[[ Two-Way ANOVA]]
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:[[ EBook/Two-Way ANOVA|Two-Way ANOVA]]
==  Chapter XII: Non-Parametric Inference ==
==  Chapter XII: Non-Parametric Inference ==
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:[[ Differences of Medians (Centers) of Two Paired Samples]]
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:[[ EBook/Differences of Medians (Centers) of Two Paired Samples|Differences of Medians (Centers) of Two Paired Samples]]
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:[[ Differences of Medians (Centers) of Two Independent Samples]]
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:[[ EBook/Differences of Medians (Centers) of Two Independent Samples|Differences of Medians (Centers) of Two Independent Samples]]
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:[[ Differences of Proportions of Two Samples]]
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:[[ EBook/Differences of Proportions of Two Samples|Differences of Proportions of Two Samples]]
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:[[ Differences of Means of Several Independent Samples]]
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:[[ EBook/Differences of Means of Several Independent Samples|Differences of Means of Several Independent Samples]]
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:[[ Differences of Variances of Two Independent Samples]]
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:[[ EBook/Differences of Variances of Two Independent Samples|Differences of Variances of Two Independent Samples]]
==  Chapter XIII: Multinomial Experiments and Contingency Tables ==
==  Chapter XIII: Multinomial Experiments and Contingency Tables ==
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:[[ Multinomial Experiments: Goodness-of-Fit]]
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:[[ EBook/Multinomial Experiments: Goodness-of-Fit|Multinomial Experiments: Goodness-of-Fit]]
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:[[ Contingency Tables: Independence and Homogeneity]]
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:[[ EBook/Contingency Tables: Independence and Homogeneity|Contingency Tables: Independence and Homogeneity]]
==  Additional EBook Chapters (under Development) ==
==  Additional EBook Chapters (under Development) ==

Revision as of 21:12, 7 March 2008

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

Contents

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)

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