# Introductory Statistics: A Student-Centered Approach

## First EditionAnn Cannon; Daniel Starnes; Joshua Tabor

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Learn More## Table of Contents

Section 1.1 Introduction to Data Collection

Section 1.2 Sampling: Good and Bad

Section 1.3 Simple Random Sampling

Section 1.4 Other Sampling Methods

Section 1.5 Observational Studies and Experiments

Section 1.6 Completely Randomized Designs

Section 1.7 Blocking

Section 1.8 Data Ethics and the Scope of Inference

Chapter 2 Displaying Data with Graphs

Section 2.1 Displaying Categorical Data

Section 2.2 Displaying Relationships Between Two Categorical Variables

Section 2.3 Displaying Quantitative Data: Dotplots

Section 2.4 Displaying Quantitative Data: Stemplots

Section 2.5 Displaying Quantitative Data: Histograms

Section 2.6 Displaying Relationships Between Two Quantitative Variables

Chapter 3 Numerical Summaries for Quantitative Data

Section 3.1 Measuring Center

Section 3.2 Measuring Variability

Section 3.3 Boxplots and Outliers

Section 3.4 Measuring Location in a Distribution

Section 3.5 Relationships Between Two Variables: Correlation

Section 3.6 More About Correlation

Chapter 4 Probability

Section 4.1 Randomness, Probability, and Simulation

Section 4.2 Basic Probability Rules

Section 4.3 Two-Way Tables and Venn Diagrams

Section 4.4 Conditional Probability and Independence

Section 4.5 The General Multiplication Rule and Bayes’ Theorem

Section 4.6 The Multiplication Rule for Independent Events

Section 4.7 The Multiplication Counting Principle and Permutations

Section 4.8 Combinations and Probability

Chapter 5 Discrete Random Variables

Section 5.1 Introduction to Random Variables

Section 5.2 Analyzing Discrete Random Variables

Section 5.3 Binomial Random Variables

Section 5.4 Analyzing Binomial Random Variables

Section 5.5 Poisson Random Variables

Chapter 6 Normal Distributions and Sampling Distributions

Section 6.1 Continuous Random Variables

Section 6.2 Normal Distributions: Finding Areas from Values

Section 6.3 Normal Distributions: Finding Values from Areas

Section 6.4 Normal Approximation to the Binomial Distribution and Assessing Normality

Section 6.5 Sampling Distributions

Section 6.6 Sampling Distributions: Bias and Variability

Section 6.7 Sampling Distribution of the Sample Proportion

Section 6.8 Sampling Distribution of the Sample Mean and the Central Limit Theorem

Chapter 7 Estimating a Parameter

Section 7.1 The Idea of a Confidence Interval

Section 7.2 Factors That Affect the Margin of Error

Section 7.3 Estimating a Population Proportion

Section 7.4 Confidence Intervals for a Population Proportion

Section 7.5 Estimating a Population Mean

Section 7.6 Confidence Intervals for a Population Mean

Section 7.7 Estimating a Population Standard Deviation or Variance

Section 7.8 Confidence Intervals for a Population Standard Deviation or Variance

Chapter 8 Testing a Claim

Section 8.1 The Idea of a Significance Test

Section 8.2 Significance Tests and Decision Making

Section 8.3 Testing a Claim About a Population Proportion

Section 8.4 Significance Tests for a Population Proportion

Section 8.5 Testing a Claim About a Population Mean

Section 8.6 Significance Tests for a Population Mean

Section 8.7 Power of a Test

Section 8.8 Significance Tests for a Population Standard Deviation or Variance

Chapter 9 Comparing Two Populations or Treatments

Section 9.1 Confidence Intervals for a Difference Between Two Population Proportions

Section 9.2 Significance Tests for a Difference Between Two Population Proportions

Section 9.3 Confidence Intervals for a Difference Between Two Population Means

Section 9.4 Significance Tests for a Difference Between Two Population Means

Section 9.5 Analyzing Paired Data: Confidence Intervals for a Population Mean Difference

Section 9.6 Significance Tests for a Population Mean Difference

Section 9.7 Significance Tests for Two Population Standard Deviations or Variances

Chapter 10 Chi-Square and Analysis of Variance (ANOVA)

Section 10.1 Testing the Distribution of a Categorical Variable in a Population

Section 10.2 Chi-Square Tests for Goodness of Fit

Section 10.3 Testing the Relationship Between Two Categorical Variables in a Population

Section 10.4 Chi-Square Tests for Association

Section 10.5 Introduction to Analysis of Variance

Section 10.6 One-Way Analysis of Variance

Chapter 11 Linear Regression

Section 11.1 Regression Lines

Section 11.2 The Least-Squares Regression Line

Section 11.3 Assessing a Regression Model

Section 11.4 Confidence Intervals for the Slope of a Population Least-Squares Regression Line

Section 11.5 Significance Tests for the Slope of a Population Least-Squares Regression Line

Section 11.6 Confidence Intervals for a Mean Response and Prediction Intervals in Regression

Chapter 12 Multiple Regression

Section 12.1 Introduction to Multiple Regression

Section 12.2 Indicator Variables and Interaction

Section 12.3 Inference for Multiple Regression

Chapter 13 Nonparametric Methods

Section 13.1 The Sign Test

Section 13.2 The Wilcoxon Signed Rank Test

Section 13.3 The Wilcoxon Rank Sum Test

Section 13.4 The Kruskal-Wallis Test

Section 13.5 Randomization Tests

Section 13.6 Bootstrapping