Probability and Statistics EBook

Multiple Authors

Publisher:

Online

Publication Date:

2009

Format:

Electronic Book

Price:

0.00

ISBN:

00000000000000

Category:

Textbook

MAA Review
Table of Contents

We do not plan to review this book.

1 Preface
- 1.1 Format
- 1.2 Learning and Instructional Usage
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)
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 Additional EBook Chapters (under Development)