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13 How to Save Holland from the Sea: The Geometric and Exponential Distributions
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Chapters in this book
- Frontmatter i
- Contents vii
- Introduction: Seeking Certainty in an Uncertain World 1
-
Part I Descriptive Statistics and Core Concepts
- 1 How to Weave the Two Strands of Statistics: Data Quality and Analysis 7
- 2 How to Decide How Fast to Drive: Measures of Location and Dispersion 31
- 3 How to Measure the Mortality of COVID-19: Empirical Probability and Counterfactuals 52
- 4 How to Convince the Queen That British Soldiers Are Dying Needlessly: Empirical Distributions and Data Visualization 69
- 5 How Not to Be Misled by Medical Studies or Retirement Planning: Weighted Means, Simpson’s Paradox, and Standardization 92
- 6 How to Win a Nobel Prize by Eating Chocolate: Correlation and Regression 114
-
Part II Probability: Meaning, Rules, and Uses
- 7 How to Win Dumb Bar Bets and Make Smart Bets Against Nature: Probability and Its Meaning 143
- 8 How to Catch a Killer and Kill a Theory: Three Rules of Probability 163
- 9 How to Elicit Truth from People Inclined to Lie: Conditional Probability 184
- 10 How to Find a Lost Nuclear Submarine: Bayes’ Theorem 202
-
Part III Probability Distributions: The Workhorses of Statistics
- 11 How to Achieve Fairness in the US Draft Lottery: The Uniform Distribution 227
- 12 How to Win Free Coffee in Canada: The Binomial Distribution 246
- 13 How to Save Holland from the Sea: The Geometric and Exponential Distributions 261
- 14 How to Tell If You Might—or Might Not— Need to Start That Diet: The Normal Distribution 276
-
Part IV Inferential Statistics: Confidence Intervals and the Testing of Hypotheses
- 15 How to Brew Better Beer: The Sampling Distribution 301
- 16 How to Measure the Speed of Light Using a Microwave Oven: Confidence Intervals 324
- 17 How to Grow Frankenstein Barley: Testing a Difference of Means 341
- 18 How to Test Whether Salk’s Polio Vaccine Is Effective: Experimental Design and Testing a Difference of Two Proportions 363
- 19 How to Pick Cherry Blossom Data and Not Cherry- Pick Blossom Data: Forecasting and Hypothesis Testing Using Regression 387
- Epilogue: How to Build a Community of Truthfulness and Respect 411
- Appendix to Chapter 10: The Formula for Bayes’ Theorem 421
- Appendix to Chapter 12: The Equation for the Binomial Distribution 423
- Appendix to Chapter 19: Background on Ordinary Least Squares and Serial Correlation 424
- Appendix to Epilogue: Selections from the 2022 Ethical Guidelines for Statistical Practice of the American Statistical Association 430
- Notes 433
- Acknowledgments 469
- Index 471
Chapters in this book
- Frontmatter i
- Contents vii
- Introduction: Seeking Certainty in an Uncertain World 1
-
Part I Descriptive Statistics and Core Concepts
- 1 How to Weave the Two Strands of Statistics: Data Quality and Analysis 7
- 2 How to Decide How Fast to Drive: Measures of Location and Dispersion 31
- 3 How to Measure the Mortality of COVID-19: Empirical Probability and Counterfactuals 52
- 4 How to Convince the Queen That British Soldiers Are Dying Needlessly: Empirical Distributions and Data Visualization 69
- 5 How Not to Be Misled by Medical Studies or Retirement Planning: Weighted Means, Simpson’s Paradox, and Standardization 92
- 6 How to Win a Nobel Prize by Eating Chocolate: Correlation and Regression 114
-
Part II Probability: Meaning, Rules, and Uses
- 7 How to Win Dumb Bar Bets and Make Smart Bets Against Nature: Probability and Its Meaning 143
- 8 How to Catch a Killer and Kill a Theory: Three Rules of Probability 163
- 9 How to Elicit Truth from People Inclined to Lie: Conditional Probability 184
- 10 How to Find a Lost Nuclear Submarine: Bayes’ Theorem 202
-
Part III Probability Distributions: The Workhorses of Statistics
- 11 How to Achieve Fairness in the US Draft Lottery: The Uniform Distribution 227
- 12 How to Win Free Coffee in Canada: The Binomial Distribution 246
- 13 How to Save Holland from the Sea: The Geometric and Exponential Distributions 261
- 14 How to Tell If You Might—or Might Not— Need to Start That Diet: The Normal Distribution 276
-
Part IV Inferential Statistics: Confidence Intervals and the Testing of Hypotheses
- 15 How to Brew Better Beer: The Sampling Distribution 301
- 16 How to Measure the Speed of Light Using a Microwave Oven: Confidence Intervals 324
- 17 How to Grow Frankenstein Barley: Testing a Difference of Means 341
- 18 How to Test Whether Salk’s Polio Vaccine Is Effective: Experimental Design and Testing a Difference of Two Proportions 363
- 19 How to Pick Cherry Blossom Data and Not Cherry- Pick Blossom Data: Forecasting and Hypothesis Testing Using Regression 387
- Epilogue: How to Build a Community of Truthfulness and Respect 411
- Appendix to Chapter 10: The Formula for Bayes’ Theorem 421
- Appendix to Chapter 12: The Equation for the Binomial Distribution 423
- Appendix to Chapter 19: Background on Ordinary Least Squares and Serial Correlation 424
- Appendix to Epilogue: Selections from the 2022 Ethical Guidelines for Statistical Practice of the American Statistical Association 430
- Notes 433
- Acknowledgments 469
- Index 471