An edition of Probability and Statistics EBook (2009)

Probability and Statistics EBook
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An edition of Probability and Statistics EBook (2009)

Probability and Statistics EBook

The Internet-based probability and statistics EBook includes materials, tools and demonstrations useful for advanced-placement (AP) statistics educational curriculum. The EBook is developed by the Statistics Online Computational Resource (SOCR) and includes 4 novel features; It is community-built, completely open-access (in terms of use and contributions), blends information technology, scientific techniques and modern pedagogical concepts, and is multilingual.

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SOCR Publishing

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Subjects

science education, statistics, probbaility, AP

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Cover of: Probability and Statistics EBook
Probability and Statistics EBook
2009, SOCR Publishing
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Book Details

Table of Contents

1 Preface
1.1 Format
1.2 Learning and Instructional Usage
1.3 Copyrights
2 Chapter I: Introduction to Statistics
2.1 The Nature of Data and Variation
2.2 Uses and Abuses of Statistics
2.3 Design of Experiments
2.4 Statistics with Tools (Calculators and Computers)
3 Chapter II: Describing, Exploring, and Comparing Data
3.1 Types of Data
3.2 Summarizing Data with Frequency Tables
3.3 Pictures of Data
3.4 Measures of Central Tendency
3.5 Measures of Variation
3.6 Measures of Shape
3.7 Statistics
3.8 Graphs and Exploratory Data Analysis
4 Chapter III: Probability
4.1 Fundamentals
4.2 Rules for Computing Probabilities
4.3 Probabilities Through Simulations
4.4 Counting
5 Chapter IV: Probability Distributions
5.1 Random Variables
5.2 Expectation (Mean) and Variance
5.3 Bernoulli and Binomial Experiments
5.4 Multinomial Experiments
5.5 Geometric, Hypergeometric, Negative Binomial and Negative Multinomial
5.6 Poisson Distribution
6 Chapter V: Normal Probability Distribution
6.1 The Standard Normal Distribution
6.2 Nonstandard Normal Distribution: Finding Probabilities
6.3 Nonstandard Normal Distribution: Finding Scores (Critical Values)
6.4 Multivariate Normal Distribution
7 Chapter VI: Relations Between Distributions
7.1 The Central Limit Theorem
7.2 Law of Large Numbers
7.3 Normal Distribution as Approximation to Binomial Distribution
7.4 Poisson Approximation to Binomial Distribution
7.5 Binomial Approximation to Hypergeometric
7.6 Normal Approximation to Poisson
8 Chapter VII: Point and Interval Estimates
8.1 Method of Moments and Maximum Likelihood Estimation
8.2 Estimating a Population Mean: Large Samples
8.3 Estimating a Population Mean: Small Samples
8.4 Student's T distribution
8.5 Estimating a Population Proportion
8.6 Estimating a Population Variance
8.7 Confidence Intervals Activity
9 Chapter VIII: Hypothesis Testing
9.1 Fundamentals of Hypothesis Testing
9.2 Testing a Claim about a Mean: Large Samples
9.3 Testing a Claim about a Mean: Small Samples
9.4 Testing a Claim about a Proportion
9.5 Testing a Claim about a Standard Deviation or Variance
10 Chapter IX: Inferences From Two Samples
10.1 Inferences About Two Means: Dependent Samples
10.2 Inferences About Two Means: Independent Samples
10.3 Comparing Two Variances
10.4 Inferences about Two Proportions
11 Chapter X: Correlation and Regression
11.1 Correlation
11.2 Regression
11.3 Variation and Prediction Intervals
11.4 Multiple Regression
12 Chapter XI: Analysis of Variance (ANOVA)
12.1 One-Way ANOVA
12.2 Two-Way ANOVA
13 Chapter XII: Non-Parametric Inference
13.1 Differences of Medians (Centers) of Two Paired Samples
13.2 Differences of Medians (Centers) of Two Independent Samples
13.3 Differences of Proportions of Two Samples
13.4 Differences of Means of Several Independent Samples
13.5 Differences of Variances of Independent Samples (Variance Homogeneity)
14 Chapter XIII: Multinomial Experiments and Contingency Tables
14.1 Multinomial Experiments: Goodness-of-Fit
14.2 Contingency Tables: Independence and Homogeneity
15 Chapter XIV:Bayesian Statistics
15.1 Preliminaries
15.2 Bayesian Inference for the Normal Distribution
15.3 Some Other Common Distributions
15.4 Hypothesis Testing
15.5 Two Sample Problems
15.6 Hierarchical Models
15.7 The Gibbs Sampler and Other Numerical Methods
16 Chapter XV: Other Common Continuous Distributions
16.1 Gamma Distribution
16.2 Exponential Distribution
16.3 Pareto Distribution
16.4 Beta Distribution
16.5 Laplace (Double Exponential) Distribution
16.6 Cauchy Distribution
16.7 Chi-Square Distribution
16.8 Fisher's F Distribution
16.9 Johnson SB Distribution
16.10 Rice Distribution
16.11 Uniform Distribution
17 Additional EBook Chapters

Edition Notes

Published in
Los Angeles, CA, USA

The Physical Object

Format
eBook

ID Numbers

Open Library
OL25415805M
ISBN 13
9780982994900

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
August 21, 2020 Edited by ISBNbot2 normalize ISBN
August 4, 2013 Edited by VacuumBot Updated format 'Electronic book' to 'eBook'
December 13, 2012 Edited by VacuumBot Updated format 'Electronic Book' to 'Electronic book'
October 2, 2012 Edited by 128.97.129.167 Added new cover
October 2, 2012 Created by 128.97.129.167 Added new book.