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== Preface == | == Preface == | ||
− | :[[ Format]] | + | :[[ EBook/Format|Format]] |
− | :[[ Learning and Instructional Usage]] | + | :[[ EBook/Learning and Instructional Usage|Learning and Instructional Usage]] |
== Chapter I: Introduction to Statistics == | == Chapter I: Introduction to Statistics == | ||
− | :[[ The Nature of Data and Variation]] | + | :[[ EBook/The Nature of Data and Variation|The Nature of Data and Variation]] |
− | :[[ Uses and Abuses of Statistics]] | + | :[[ EBook/Uses and Abuses of Statistics|Uses and Abuses of Statistics]] |
− | :[[ Design of Experiments]] | + | :[[ EBook/Design of Experiments|Design of Experiments]] |
− | :[[ Statistics with Tools (Calculators and Computers)]] | + | :[[ 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 == | ||
− | :[[ Types of Data]] | + | :[[ EBook/Types of Data|Types of Data]] |
− | :[[ Summarizing Data with Frequency Tables]] | + | :[[ EBook/Summarizing Data with Frequency Tables|Summarizing Data with Frequency Tables]] |
− | :[[ Pictures of Data]] | + | :[[ EBook/Pictures of Data|Pictures of Data]] |
− | :[[ Measures of Central Tendency]] | + | :[[ EBook/Measures of Central Tendency|Measures of Central Tendency]] |
− | :[[ Measures of Variation]] | + | :[[ EBook/Measures of Variation|Measures of Variation]] |
− | :[[ Measures of Shape]] | + | :[[ EBook/Measures of Shape|Measures of Shape]] |
− | :[[ Statistics]] | + | :[[ EBook/ Statistics|Statistics]] |
− | :[[ Graphs and Exploratory Data Analysis]] | + | :[[ EBook/Graphs and Exploratory Data Analysis]] |
== Chapter III: Probability == | == Chapter III: Probability == | ||
− | :[[ Fundamentals]] | + | :[[ EBook/Fundamentals|Fundamentals]] |
− | :[[ Rules for Computing Probabilities]] | + | :[[ EBook/Rules for Computing Probabilities|Rules for Computing Probabilities]] |
− | :[[ Probabilities Through Simulations]] | + | :[[ EBook/Probabilities Through Simulations|Probabilities Through Simulations]] |
− | :[[ Counting]] | + | :[[ EBook/Counting|Counting]] |
== Chapter IV: Probability Distributions == | == Chapter IV: Probability Distributions == | ||
− | :[[ Random Variables]] | + | :[[ EBook/Random Variables|Random Variables]] |
− | :[[ Expectation (Mean) and Variance]] | + | :[[ EBook/Expectation (Mean) and Variance|Expectation (Mean) and Variance]] |
− | :[[ Bernoulli and Binomial Experiments]] | + | :[[ EBook/Bernoulli and Binomial Experiments|Bernoulli and Binomial Experiments]] |
− | :[[ Multinomial Experiments]] | + | :[[ EBook/Multinomial Experiments|Multinomial Experiments]] |
− | :[[ Geometric, Hypergeometric and Negative Binomial | + | :[[ EBook/Geometric, Hypergeometric and Negative Binomial|Geometric, Hypergeometric and Negative Binomial ]] |
− | :[[ Poisson Distribution]] | + | :[[ EBook/Poisson Distribution|Poisson Distribution]] |
== Chapter V: Normal Probability Distribution == | == Chapter V: Normal Probability Distribution == | ||
− | :[[ The Standard Normal Distribution]] | + | :[[ EBook/The Standard Normal Distribution|The Standard Normal Distribution]] |
− | :[[ Nonstandard Normal Distribution: Finding Probabilities]] | + | :[[ EBook/Nonstandard Normal Distribution: Finding Probabilities|Nonstandard Normal Distribution: Finding Probabilities]] |
− | :[[ Nonstandard Normal Distribution: Finding Scores (Critical Values)]] | + | :[[ 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 == | ||
− | :[[ The Central Limit Theorem]] | + | :[[ EBook/The Central Limit Theorem|The Central Limit Theorem]] |
− | :[[ Law of Large Numbers]] | + | :[[ EBook/Law of Large Numbers|Law of Large Numbers]] |
− | :[[ Normal Distribution as Approximation to Binomial Distribution]] | + | :[[ EBook/Normal Distribution as Approximation to Binomial Distribution|Normal Distribution as Approximation to Binomial Distribution]] |
− | :[[ Poisson Approximation to Binomial Distribution]] | + | :[[ EBook/Poisson Approximation to Binomial Distribution|Poisson Approximation to Binomial Distribution]] |
− | :[[ Binomial Approximation to HyperGeometric]] | + | :[[ EBook/Binomial Approximation to HyperGeometric|Binomial Approximation to HyperGeometric]] |
− | :[[ Normal Approximation to Poisson]] | + | :[[ EBook/Normal Approximation to Poisson|Normal Approximation to Poisson]] |
== Chapter VII: Point and Interval Estimates == | == Chapter VII: Point and Interval Estimates == | ||
− | :[[ Estimating a Population Mean: Large Samples]] | + | :[[ EBook/Estimating a Population Mean: Large Samples|Estimating a Population Mean: Large Samples]] |
− | :[[ Estimating a Population Mean: Small Samples]] | + | :[[ EBook/Estimating a Population Mean: Small Samples|Estimating a Population Mean: Small Samples]] |
− | :[[ Student's T distribution]] | + | :[[ EBook/Student's T distribution|Student's T distribution]] |
− | :[[ Estimating a Population Proportion]] | + | :[[ EBook/Estimating a Population Proportion|Estimating a Population Proportion]] |
− | :[[ Estimating a Population Variance]] | + | :[[ EBook/Estimating a Population Variance|Estimating a Population Variance]] |
== Chapter VIII: Hypothesis Testing == | == Chapter VIII: Hypothesis Testing == | ||
− | :[[ Fundamentals of Hypothesis Testing]] | + | :[[ EBook/Fundamentals of Hypothesis Testing|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: Large Samples]] |
− | :[[ Testing a Claim about a Mean: Small Samples]] | + | :[[ EBook/Testing a Claim about a Mean: Small Samples|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 Proportion]] |
− | :[[ Testing a Claim about a Standard Deviation or Variance]] | + | :[[ 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 == | ||
− | :[[ Inferences About Two Means: Dependent Samples]] | + | :[[ EBook/Inferences About Two Means: Dependent Samples|Inferences About Two Means: Dependent Samples]] |
− | :[[ Inferences About Two Means: Independent Samples]] | + | :[[ EBook/Inferences About Two Means: Independent Samples|Inferences About Two Means: Independent Samples]] |
− | :[[ Comparing Two Variances]] | + | :[[ EBook/Comparing Two Variances|Comparing Two Variances]] |
− | :[[ Inferences about Two Proportions]] | + | :[[ EBook/Inferences about Two Proportions|Inferences about Two Proportions]] |
== Chapter X: Correlation and Regression == | == Chapter X: Correlation and Regression == | ||
− | :[[ Correlation]] | + | :[[ EBook/Correlation|Correlation]] |
− | :[[ Regression]] | + | :[[ EBook/Regression|Regression]] |
− | :[[ Variation and Prediction Intervals]] | + | :[[ EBook/Variation and Prediction Intervals|Variation and Prediction Intervals]] |
− | :[[ Multiple Regression]] | + | :[[ EBook/Multiple Regression|Multiple Regression]] |
== Chapter XI: Analysis of Variance (ANOVA) == | == Chapter XI: Analysis of Variance (ANOVA) == | ||
− | :[[ One-Way ANOVA ]] | + | :[[ EBook/One-Way ANOVA|One-Way ANOVA ]] |
− | :[[ Two-Way ANOVA]] | + | :[[ EBook/Two-Way ANOVA|Two-Way ANOVA]] |
== Chapter XII: Non-Parametric Inference == | == Chapter XII: Non-Parametric Inference == | ||
− | :[[ Differences of Medians (Centers) of Two Paired Samples]] | + | :[[ EBook/Differences of Medians (Centers) of Two Paired Samples|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 Medians (Centers) of Two Independent Samples]] |
− | :[[ Differences of Proportions of Two Samples]] | + | :[[ EBook/Differences of Proportions of Two Samples|Differences of Proportions of Two Samples]] |
− | :[[ Differences of Means of Several Independent Samples]] | + | :[[ EBook/Differences of Means of Several Independent Samples|Differences of Means of Several Independent Samples]] |
− | :[[ Differences of Variances of Two Independent Samples]] | + | :[[ 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 == | ||
− | :[[ Multinomial Experiments: Goodness-of-Fit]] | + | :[[ EBook/Multinomial Experiments: Goodness-of-Fit|Multinomial Experiments: Goodness-of-Fit]] |
− | :[[ Contingency Tables: Independence and Homogeneity]] | + | :[[ EBook/Contingency Tables: Independence and Homogeneity|Contingency Tables: Independence and Homogeneity]] |
== Additional EBook Chapters (under Development) == | == 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}} |
Latest revision as of 16:56, 7 March 2008
Note: current version of this book can be found at http://wiki.stat.ucla.edu/socr/index.php/EBook
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