Stats: Data and Models, Global Edition, 5th edition

Published by Pearson (April 21, 2021) © 2021

  • Richard D. De Veaux Williams College
  • Paul F. Velleman Cornell University
  • David E. Bock Ithaca High School (Retired) , Cornell University

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For courses inIntroductory Statistics.

Encourages statistical thinking using technology, innovative methods, and a sense of humour

Inspired by the 2016GAISE Report revision, Stats: Data and Models, 5th Edition byDe Veaux, Velleman, and Bock uses innovative strategies to help students think critically about data, while maintaining the book’s core concepts, coverage, and most importantly, readability.

The authors make it easier for instructors to teach and for students to understand more complicated statistical concepts later in the course (such as the Central Limit Theorem).In addition, students get more exposure to large data sets and multivariate thinking, which better prepares them to be critical consumers of statistics in the 21st century.

The 5th Edition’s approach to teaching Stats: Data and Models is revolutionary, yet it retains the book's lively tone and hallmark pedagogical features such as its Think/Show/Tell Step-by-Step Examples.

Also available with MyLab Statistics

MyLabTMStatistics is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Statistics personalizes the learning experience and improves results for each student. With MyLab Statistics and Stat Crunch, an integrated web-based statistical software program, students learn the skills they need to interact with data in the real world.

Reflects the new Guidelines for Assessment and Instruction in Statistics Education (GAISE) 2016 report adopted by the American Statistical Association to encourage statistical thinking

  • New - Random Matters: This new feature encourages a gradual, cumulative understanding of randomization. The first Random Matters box introduces drawing inferences from data. Subsequent Random Matters features draw histograms of sample means, introduce the thinking involved in permutation tests, and encourage judgment about how likely the observed statistic seems when viewed against the simulated sampling distribution of the null hypothesis.
  • New - Streamlined coverage of descriptive statistics helps students progress more quickly through the first part of the book. Also a GAISE recommendation, random variables and probability distributions are now covered later in the text to allow for more time on the more critical statistical concepts.
  • New - A third variable is introduced with contingency tables and mosaic plots in Chapter 3 to give students earlier experience with multivariable thinking. Then, following the discussion of correlation and regression as a tool (without inference) in Chapters 6, 7, and 8, multiple regression is introduced in Chapter 9.
  • Where Are We Going? chapter openers give a context for the work students are about to begin within the broader course.
  • Margin and in-text boxed notes throughout each chapter enhance and enrich the text.
  • Reality Checks ask students to think about whether their answers make sense before interpreting their results.
  • Notation Alerts appear whenever special notation is introduced.
  • The Tech Support section provides instructions for applying the topics covered by the chapter within each of the supported statistics packages.

Supports learning through worked examples and practice opportunities

  • Updated - Expanded and revised Think/Show/Tell Step-by-Step Examples guide students through the process of analyzing a problem through worked examples. They illustrate the importance of thinking about a statistics question (Think) and reporting findings (Tell)). The Show step contains the mechanics of calculating results. This results in a better understanding of the concept and problem-solving process that goes beyond number crunching.
  • Focused examples are provided as each important concept is introduced, applying the concept usually with real, up-to-the-minute data. Many examples carry the discussion through the chapter, picking up the story and moving it forward as students learn more about the topic.
  • Just Checking questions are quick checks throughout the chapter that involve minimal calculation and encourage students to pause and think about what they’ve just read. The Just Checking answers are at the end of the exercise sets in each chapter so students can easily check themselves.
  • End-of-chapter material includes:
    • Connections sections that specifically ties the new topics to those learned in previous chapters.
    • What Can Go Wrong? sections that highlight the most common errors that people make and the misconceptions they have about statistics. One of our goals is to arm students with the tools to detect statistical errors and to offer practice in debunking misuses of statistics., whether intentional or not.
    • Chapter Reviews that summarize the story told by the chapter and provide a bulleted lists of the major concepts and principles covered.
    • A Review of Terms glossary of all of the boldfaced terms introduced in the chapter. The Review provides page references, so students can easily turn back to a full discussion of the term if the brief definition isn’t sufficient.
  • Abundant exercises at the end of each chapter start with relatively simple, focused exercises for each chapter section and move on to more extensive exercises that may deal with topics from several parts of the chapter or even from previous chapters as they combine with the topics of the chapter at hand. All exercises appear in pairs, and odd-numbered exercises have answers in the back of student texts. Each even-numbered exercise covers the same topic (although not in exactly the same way) as the previous odd exercise.
  • Part Reviews discuss the concepts in each part of the text, tying them together and summarizing the material.
  • Additional exercises follow the Part Reviews; these are not paired and not tied to a chapter, making them more like potential exam questions and a good tool for review.
  • Parts I-V Cumulative Review Exercises comprise a final book-level review section towards the end of the text. Cumulative Review exercises are longer and cover concepts from the book as a whole.
  • New - Web tools provide interactive versions of the distribution tables at the back of the book and tools for randomization inference methods such as the bootstrap and for repeated sampling from larger populations can be found online at astools.datadesk.com.

Also available with MyLab Statistics

MyLabTM Statistics is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Statistics personalizes the learning experience and improves results for each student. With MyLab Statistics and StatCrunch, an integrated web-based statistical software program, students learn the skills they need to interact with data in the real world.

Preparedness

This is one of the biggest challenges in statistics courses. Pearson offers a variety of content and course options to support students with just-in-time remediation and key-concept review as needed.

  • Getting Ready for Statistics Questions: This question library contains more than 450 exercises that cover the relevant developmental math topics for a given section. These can be made available to students for extra practice or assigned as a prerequisite to other assignments.

Conceptual Understanding

Successful students have the ability to apply their statistical ideas and knowledge to new concepts and real-world situations. Providing frequent opportunities for data analysis and interpretation helps students develop the 21st-century skills that they need to be successful in the classroom and workplace.

  • StatCrunch®: This powerful, web-based statistical software is integrated into MyLab Statistics, so students can quickly and easily analyze any data set, including those from their text and MyLab Statistics exercises. In addition, MyLab Statistics includes access to www.StatCrunch.com, a web-based community where users can access tens of thousands of shared data sets, create and conduct online surveys, pull data from almost any web page, interact with a full library of applets, and perform complex analyses using the powerful statistical software.
  • Data sets from homework exercises and from the textbook can be analyzed directly in StatCrunch or uploaded to other statistical software.
  • Conceptual Question Library: A library of 1000 conceptual questions in the Assignment Manager requires students to apply their statistical understanding.

Motivation

Students are motivated to succeed when they're engaged in the learning experience and understand the relevance and power of statistics. Through online homework, students receive immediate feedback and tutorial assistance that motivates them to do more, which means they retain more knowledge, improve their test scores, and perform better in future courses. Plus, we're always adding new solutions to further engage students.

  • Expanded - MyLab Statistics exercises are newly mapped to improve student learning outcomes. Homework reinforces and supports students’ understanding of key statistics topics.
  • StatTalk Videos - Hosted by fun-loving statistician Andrew Vickers, this video series demonstrates important statistical concepts through interesting stories and real-life events. Videos include assessment questions and an instructor’s guide.
  • Learning CatalyticsTM, now available with MyLab Statistics, is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking. It helps to foster student engagement and peer-to-peer learning, generate class discussion, and guide lectures with real-time analytics. Now access pre-built exercises created by leading Pearson authors.

Pearson works continuously to ensure our products are as accessible as possible to all students. We are working toward achieving WCAG 2.0 Level AA and Section 508 standards, as expressed in the Pearson Guidelines for Accessible Educational Web Media.</s

Reflects the new Guidelines for Assessment and Instruction in Statistics Education (GAISE) 2016 report adopted by the American Statistical Association to encourage statistical thinking

  • Random Matters – This new feature encourages a gradual, cumulative understanding of randomization. The first Random Matters box introduces drawing inferences from data. Subsequent Random Matters features draw histograms of sample means, introduce the thinking involved in permutation tests, and encourage judgment about how likely the observed statistic seems when viewed against the simulated sampling distribution of the null hypothesis.
  • Streamlined coverage of descriptive statistics helps students progress more quickly through the first part of the book. Also a GAISE recommendation, random variables and probability distributions are now covered later in the text to allow for more time on the more critical statistical concepts.
  • Technology is utilized to improve the learning of two of the most difficult concepts in the introductory course: the idea of a sampling distribution and the reasoning of statistical inference.

Supports learning through worked examples and practice opportunities

  • A third variable is introduced with contingency tables and mosaic plots in Chapter 3 to give students earlier experience with multivariable thinking. Then, following the discussion of correlation and regression as a tool (without inference) in Chapters 6, 7, and 8, multiple regression is introduced in Chapter 9.
  • Expanded and revised Think/Show/Tell Step-by-Step Examples guide students through the process of analyzing a problem through worked examples. They illustrate the importance of thinking about a statistics question (Think) and reporting findings (Tell)). The Show step contains the mechanics of calculating results. This results in a better understanding of the concept and problem-solving process that goes beyond number crunching.
  • New Web tools that provide interactive versions of the distribution tables at the back of the book and tools for randomization inference methods such as the bootstrap and for repeated sampling from larger populations can be found online at astools.datadesk.com.

Also available with MyLab Statistics

  • MyLab Statistics exercises are newly mapped to improve student learning outcomes. Homework reinforces and supports students’ understanding of key statistics topics.
  • Learning CatalyticsTM, now available with MyLab Statistics, is a student response tool that uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking. It helps to foster student engagement and peer-to-peer learning, generate class discussion, and guide lectures with real-time analytics. Now access pre-built exercises created by leading Pearson authors.

Pearson works continuously to ensure our products are as accessible as possible to all students. We are working toward achieving WCAG 2.0 Level AA and Section 508 standards, as expressed in the Pearson Guidelines for Accessible Educational Web Media.

Preface

Index of Applications

 

I: EXPLORING AND UNDERSTANDING DATA

 

1. Stats Starts Here 

1.1 What Is Statistics?  1.2 Data  1.3 Variables  1.4 Models

 

2. Displaying and Describing Data

2.1 Summarizing and Displaying a Categorical Variable  2.2 Displaying a Quantitative Variable  2.3 Shape  2.4 Center  2.5 Spread 

 

3. Relationships Between Categorical Variables–Contingency Tables

3.1 Contingency Tables  3.2 Conditional Distributions  3.3 Displaying Contingency Tables  3.4 Three Categorical Variables

 

4. Understanding and Comparing Distributions

4.1 Displays for Comparing Groups  4.2 Outliers  4.3 Re-Expressing Data: A First Look

 

5. The Standard Deviation as a Ruler and the Normal Model

5.1 Using the Standard Deviation to Standardize Values  5.2 Shifting and Scaling  5.3 Normal Models  5.4 Working with Normal Percentiles  5.5 Normal Probability Plots

 

Review of Part I: Exploring and Understanding Data

 

II. EXPLORING RELATIONSHIPS BETWEEN VARIABLES

 

6. Scatterplots, Association, and Correlation

6.1 Scatterplots 6.2 Correlation 6.3 Warning: Correlation ≠ Causation *6.4 Straightening Scatterplots

 

7. Linear Regression

7.1 Least Squares: The Line of “Best Fit” 7.2 The Linear Model 7.3 Finding the Least Squares Line 7.4 Regression to the Mean 7.5 Examining the Residuals 7.6 R2–The Variation Accounted for by the Model  7.7 Regression Assumptions and Conditions

 

8. Regression Wisdom

8.1 Examining Residuals  8.2 Extrapolation: Reaching Beyond the Data  8.3 Outliers, Leverage, and Influence  8.4 Lurking Variables and Causation  8.5 Working with Summary Values  *8.6 Straightening Scatterplots–The Three Goals  *8.7 Finding a Good Re-Expression

 

9. Multiple Regression

9.1 What Is Multiple Regression?  9.2 Interpreting Multiple Regression Coefficients  9.3 The Multiple Regression Model–Assumptions and Conditions  9.4 Partial Regression Plots  *9.5 Indicator Variables 

 

Review of Part II: Exploring Relationships Between Variables 

 

III. GATHERING DATA

 

10. Sample Surveys

10.1 The Three Big Ideas of Sampling  10.2 Populations and Parameters  10.3 Simple Random Samples  10.4 Other Sampling Designs  10.5 From the Population to the Sample: You Can't Always Get What You Want  10.6 The Valid Survey 10.7 Common Sampling Mistakes, or How to Sample Badly

 

11. Experiments and Observational Studies

11.1  Observational Studies  11.2 Randomized, Comparative Experiments  11.3 The Four Principles of Experimental Design 11.4 Control Groups  11.5 Blocking  11.6 Confounding

 

Review of Part III: Gathering Data

 

IV. RANDOMNESS AND PROBABILITY 

 

12. From Randomness to Probability

12.1 Random Phenomena  12.2 Modeling Probability  12.3 Formal Probability

 

13.Probability Rules!

13.1 The General Addition Rule  13.2 Conditional Probability and the General Multiplication Rule  13.3 Independence  13.4 Picturing Probability: Tables, Venn Diagrams, and Trees  13.5 Reversing the Conditioning and Bayes' Rule

 

14. Random Variables

14.1 Center: The Expected Value  14.2 Spread: The Standard Deviation  14.3 Shifting and Combining Random Variables  14.4 Continuous Random Variables

 

15. Probability Models

15.1 Bernoulli Trials  15.2 The Geometric Model  15.3 The Binomial Model  15.4 Approximating the Binomial with a Normal Model  15.5 The Continuity Correction  15.6 The Poisson Model  15.7 Other Continuous Random Variables: The Uniform and the Exponential

 

Review of Part IV: Randomness and Probability

 

V. INFERENCE FOR ONE PARAMETER 

 

16. Sampling Distribution Models and Confidence Intervals for Proportions

16.1 The Sampling Distribution Model for a Proportion  16.2 When Does the Normal Model Work? Assumptions and Conditions  16.3 A Confidence Interval for a Proportion  16.4 Interpreting Confidence Intervals: What Does 95% Confidence Really Mean? 16.5 Margin of Error: Certainty vs. Precision  *16.6 Choosing the Sample Size

 

17. Confidence Intervals for Means

17.1 The Central Limit Theorem  17.2 A Confidence Interval for the Mean  17.3 Interpreting Confidence Intervals  *17.4 Picking Our Interval up by Our Bootstraps  17.5 Thoughts About Confidence Intervals

 

18. Testing Hypotheses

18.1 Hypotheses 18.2 P-Values  18.3 The Reasoning of Hypothesis Testing  18.4 A Hypothesis Test for the Mean  18.5 Intervals and Tests  18.6 P-Values and Decisions: What to Tell About a Hypothesis Test

 

19. More About Tests and Intervals

19.1 Interpreting P-Values  19.2 Alpha Levels and Critical Values  19.3 Practical vs. Statistical Significance  19.4 Errors

 

Review of Part V: Inference for One Parameter

 

VI. INFERENCE FOR RELATIONSHIPS

 

20. Comparing Groups

20.1 A Confidence Interval for the Difference Between Two Proportions  20.2 Assumptions and Conditions for Comparing Proportions  20.3 The Two-Sample z-Test: Testing for the Difference Between Proportions 20.4 A Confidence Interval for the Difference Between Two Means 20.5 The Two-Sample t-Test: Testing for the Difference Between Two Means *20.6 Randomization Tests and Confidence Intervals for Two Means *20.7 Pooling  *20.8 The Standard Deviation of a Difference 

 

21. Paired Samples and Blocks

21.1 Paired Data  21.2 The Paired t-Test  21.3 Confidence Intervals for Matched Pairs  21.4 Blocking

 

22. Comparing Counts

22.1 Goodness-of-Fit Tests  22.2 Chi-Square Test of Homogeneity  22.3 Examining the Residuals  22.4 Chi-Square Test of Independence 

 

23. Inferences for Regression

23.1 The Regression Model  23.2 Assumptions and Conditions  23.3 Regression Inference and Intuition  23.4 The Regression Table  23.5 Multiple Regression Inference  23.6 Confidence and Prediction Intervals  *23.7 Logistic Regression  *23.8 More About Regression

 

Review of Part VI: Inference for Relationships

 

VII. INFERENCE WHEN VARIABLES ARE RELATED

 

24. Multiple Regression Wisdom

24.1 Multiple Regression Inference  24.2 Comparing Multiple Regression Model  24.3 Indicators  24.4 Diagnosing Regression Models: Looking at the Cases  24.5 Building Multiple Regression Models

 

25. Analysis of Variance

25.1 Testing Whether the Means of Several Groups Are Equal  25.2 The ANOVA Table  25.3 Assumptions and Conditions  25.4 Comparing Means  25.5 ANOVA on Observational Data

 

26. Multifactor Analysis of Variance

26.1 A Two Factor ANOVA Model   26.2 Assumptions and Conditions  26.3 Interactions

 

27. Statistics and Data Science

27.1 Introduction to Data Mining

 

Review of Part VII: Inference When Variables Are Related

 

Parts I—V Cumulative Review Exercises

 

Appendixes:

A. Answers 

B. Credits 

C. Indexes 

D. Tables and Selected Formulas 

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