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Latest revision as of 18:07, 7 March 2008
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)
- 2 Format
- 3 Learning and Instructional Usage
- 4 The Nature of Data and Variation
- 5 Uses and Abuses of Statistics
- 6 Design of Experiments
- 7 Statistics with Tools (Calculators and Computers)
- 8 Types of Data
- 9 Summarizing Data with Frequency Tables
- 10 Pictures of Data
- 11 Measures of Central Tendency
- 12 Measures of Variation
- 13 Measures of Shape
- 14 Statistics
- 15 Graphs and Exploratory Data Analysis
- 16 Fundamentals
- 17 Rules for Computing Probabilities
- 18 Probabilities Through Simulations
- 19 Counting
- 20 Random Variables
- 21 Expectation (Mean) and Variance
- 22 Bernoulli and Binomial Experiments
- 23 Multinomial Experiments
- 24 Geometric, Hypergeometric and Negative Binomial
- 25 Poisson Distribution
- 26 The Standard Normal Distribution
- 27 Nonstandard Normal Distribution: Finding Probabilities
- 28 Nonstandard Normal Distribution: Finding Scores (Critical Values)
- 29 The Central Limit Theorem
- 30 Law of Large Numbers
- 31 Normal Distribution as Approximation to Binomial Distribution
- 32 Poisson Approximation to Binomial Distribution
- 33 Binomial Approximation to HyperGeometric
- 34 Normal Approximation to Poisson
- 35 Estimating a Population Mean: Large Samples
- 36 Estimating a Population Mean: Small Samples
- 37 Student's T distribution
- 38 Estimating a Population Proportion
- 39 Estimating a Population Variance
- 40 Fundamentals of Hypothesis Testing
- 41 Testing a Claim about a Mean: Large Samples
- 42 Testing a Claim about a Mean: Small Samples
- 43 Testing a Claim about a Proportion
- 44 Testing a Claim about a Standard Deviation or Variance
- 45 Inferences About Two Means: Dependent Samples
- 46 Inferences About Two Means: Independent Samples
- 47 Comparing Two Variances
- 48 Inferences about Two Proportions
- 49 Correlation
- 50 Regression
- 51 Variation and Prediction Intervals
- 52 Multiple Regression
- 53 One-Way ANOVA
- 54 Two-Way ANOVA
- 55 Differences of Medians (Centers) of Two Paired Samples
- 56 Differences of Medians (Centers) of Two Independent Samples
- 57 Differences of Proportions of Two Samples
- 58 Differences of Means of Several Independent Samples
- 59 Differences of Variances of Two Independent Samples
- 60 Multinomial Experiments: Goodness-of-Fit
- 61 Contingency Tables: Independence and Homogeneity
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
Chapter XIII: Multinomial Experiments and Contingency Tables
Additional EBook Chapters (under Development)
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
Statistics with Tools (Calculators and Computers)
EBook/Statistics with Tools (Calculators and Computers)
Types of Data
Summarizing Data with Frequency Tables
EBook/Summarizing Data with Frequency Tables
Pictures of Data
Measures of Central Tendency
EBook/Measures of Central Tendency
Measures of Variation
Measures of Shape
Statistics
Graphs and Exploratory Data Analysis
EBook/Graphs and Exploratory Data Analysis
Fundamentals
Rules for Computing Probabilities
EBook/Rules for Computing Probabilities
Probabilities Through Simulations
EBook/Probabilities Through Simulations
Counting
Random Variables
Expectation (Mean) and Variance
EBook/Expectation (Mean) and Variance
Bernoulli and Binomial Experiments
EBook/Bernoulli and Binomial Experiments
Multinomial Experiments
Geometric, Hypergeometric and Negative Binomial
EBook/Geometric, Hypergeometric and Negative Binomial
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
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
Regression
Variation and Prediction Intervals
EBook/Variation and Prediction Intervals
Multiple Regression
One-Way ANOVA
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
