Introductory Statistics: A Student-Centered Approach

List of contents

Chapter 1 Collecting Data
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

About the author

Ann Cannon; Daren Starnes; Josh Tabor

Product details

• Authors: Ann Cannon, Starnes Daren, Tabor Josh, Daren Starnes, Josh Tabor
• Publisher: Macmillan International Higher Education
• Languages: English
• Product format: Paperback / Softback
• Released: 01.08.2024
• EAN: 9781319545314
• ISBN: 978-1-319-54531-4
• No. of pages: 1008
• Dimensions: 217 mm x 274 mm x 30 mm
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; MATHEMATICS / Probability & Statistics / General, Probability & statistics, Probability and statistics