This publication is presented to you through Paradigm Publishing Services
Harvard University Press
Chapter
Licensed
Unlicensed
Requires Authentication
14 How to Tell If You Might—or Might Not— Need to Start That Diet: The Normal Distribution
-
Mark Prell
You are currently not able to access this content.
You are currently not able to access this content.
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