Probability and Statistics EBook
Publisher: SOCR Publishing
Published: 2009
Place of publication: Los Angeles, CA, USA
Format: eBook
ISBN-13: 9780982994900
Table of contents: title: 1 Preface; title: 1.1 Format; title: 1.2 Learning and Instructional Usage; title: 1.3 Copyrights; title: 2 Chapter I: Introduction to Statistics; title: 2.1 The Nature of Data and Variation; title: 2.2 Uses and Abuses of Statistics; title: 2.3 Design of Experiments; title: 2.4 Statistics with Tools (Calculators and Computers); title: 3 Chapter II: Describing, Exploring, and Comparing Data; title: 3.1 Types of Data; title: 3.2 Summarizing Data with Frequency Tables; title: 3.3 Pictures of Data; title: 3.4 Measures of Central Tendency; title: 3.5 Measures of Variation; title: 3.6 Measures of Shape; title: 3.7 Statistics; title: 3.8 Graphs and Exploratory Data Analysis; title: 4 Chapter III: Probability; title: 4.1 Fundamentals; title: 4.2 Rules for Computing Probabilities; title: 4.3 Probabilities Through Simulations; title: 4.4 Counting; title: 5 Chapter IV: Probability Distributions; title: 5.1 Random Variables; title: 5.2 Expectation (Mean) and Variance; title: 5.3 Bernoulli and Binomial Experiments; title: 5.4 Multinomial Experiments; title: 5.5 Geometric, Hypergeometric, Negative Binomial and Negative Multinomial; title: 5.6 Poisson Distribution; title: 6 Chapter V: Normal Probability Distribution; title: 6.1 The Standard Normal Distribution; title: 6.2 Nonstandard Normal Distribution: Finding Probabilities; title: 6.3 Nonstandard Normal Distribution: Finding Scores (Critical Values); title: 6.4 Multivariate Normal Distribution; title: 7 Chapter VI: Relations Between Distributions; title: 7.1 The Central Limit Theorem; title: 7.2 Law of Large Numbers; title: 7.3 Normal Distribution as Approximation to Binomial Distribution; title: 7.4 Poisson Approximation to Binomial Distribution; title: 7.5 Binomial Approximation to Hypergeometric; title: 7.6 Normal Approximation to Poisson; title: 8 Chapter VII: Point and Interval Estimates; title: 8.1 Method of Moments and Maximum Likelihood Estimation; title: 8.2 Estimating a Population Mean: Large Samples; title: 8.3 Estimating a Population Mean: Small Samples; title: 8.4 Student's T distribution; title: 8.5 Estimating a Population Proportion; title: 8.6 Estimating a Population Variance; title: 8.7 Confidence Intervals Activity; title: 9 Chapter VIII: Hypothesis Testing; title: 9.1 Fundamentals of Hypothesis Testing; title: 9.2 Testing a Claim about a Mean: Large Samples; title: 9.3 Testing a Claim about a Mean: Small Samples; title: 9.4 Testing a Claim about a Proportion; title: 9.5 Testing a Claim about a Standard Deviation or Variance; title: 10 Chapter IX: Inferences From Two Samples; title: 10.1 Inferences About Two Means: Dependent Samples; title: 10.2 Inferences About Two Means: Independent Samples; title: 10.3 Comparing Two Variances; title: 10.4 Inferences about Two Proportions; title: 11 Chapter X: Correlation and Regression; title: 11.1 Correlation; title: 11.2 Regression; title: 11.3 Variation and Prediction Intervals; title: 11.4 Multiple Regression; title: 12 Chapter XI: Analysis of Variance (ANOVA); title: 12.1 One-Way ANOVA; title: 12.2 Two-Way ANOVA; title: 13 Chapter XII: Non-Parametric Inference; title: 13.1 Differences of Medians (Centers) of Two Paired Samples; title: 13.2 Differences of Medians (Centers) of Two Independent Samples; title: 13.3 Differences of Proportions of Two Samples; title: 13.4 Differences of Means of Several Independent Samples; title: 13.5 Differences of Variances of Independent Samples (Variance Homogeneity); title: 14 Chapter XIII: Multinomial Experiments and Contingency Tables; title: 14.1 Multinomial Experiments: Goodness-of-Fit; title: 14.2 Contingency Tables: Independence and Homogeneity; title: 15 Chapter XIV:Bayesian Statistics; title: 15.1 Preliminaries; title: 15.2 Bayesian Inference for the Normal Distribution; title: 15.3 Some Other Common Distributions; title: 15.4 Hypothesis Testing; title: 15.5 Two Sample Problems; title: 15.6 Hierarchical Models; title: 15.7 The Gibbs Sampler and Other Numerical Methods; title: 16 Chapter XV: Other Common Continuous Distributions; title: 16.1 Gamma Distribution; title: 16.2 Exponential Distribution; title: 16.3 Pareto Distribution; title: 16.4 Beta Distribution; title: 16.5 Laplace (Double Exponential) Distribution; title: 16.6 Cauchy Distribution; title: 16.7 Chi-Square Distribution; title: 16.8 Fisher's F Distribution; title: 16.9 Johnson SB Distribution; title: 16.10 Rice Distribution; title: 16.11 Uniform Distribution; title: 17 Additional EBook Chapters