- Title Pages
- Dedication
- Preface
- Acknowledgments
- 1 Probabilities—rules and review
- 2 Distributions of data—four plots
- 3 Mean value—estimation and a few properties
- 4 Boxplots—construction and interpretation
- 5 The lady who tasted tea—a bit of statistical history
- 6 Outlier/extreme values —a difficult decision
- 7 The role of summary statistics —brief description
- 8 Correlation and association —interpretation
- 9 Proportional reduction in error —a measure of association
- 10 Quick tests—four examples
- 11 Confounding—African-American and white infant mortality
- 12 Odds—a sometimes measure of likelihood
- 13 Odds ratio—a measure of risk?
- 14 Odds ratio—two properties rarely mentioned
- 15 Percent increase—ratios?
- 16 Diagnostic tests—assessing accuracy
- 17 Regression to the mean— father/son data
- 18 Life table—a summary of mortality experience
- 19 Coincidence—a statistical description
- 20 Draft lottery numbers (1970)
- 21 Lotto—how to get in and how to win
- 22 Fatal coronary disease—risk
- 23 Pictures
- 24 The Monty Hall problem
- 25 Eye-witness evidence—Collins versus state of California
- 26 Probabilities and puzzles
- 27 Jokes and quotes
- 28 A true life puzzle
- 29 Rates—definition and estimation
- 30 Geometry of an approximate average rate
- 31 Simpson’s paradox—two examples and a bit more
- 32 Smoothing—median values
- 33 Two by two table—a missing observation
- 34 Survey data—randomized response
- 35 Viral incidence estimation —a shortcut
- 36 Two-way table—a graphical analysis
- 37 Data—too good to be true?
- 38 A binary variable—twin pairs
- 39 Mr. Rich and Mr. Poor—a give and take equilibrium
- 40 Log-normal distribution—leukemia and pesticide exposure
- 41 A contribution to statistics
- Appendix
- Subject Index

# Regression to the mean— father/son data

# Regression to the mean— father/son data

- Chapter:
- (p.81) 17 Regression to the mean— father/son data
- Source:
- The Joy of Statistics
- Author(s):
### Steve Selvin

- Publisher:
- Oxford University Press

A historic observation that tall fathers tend to have shorter sons and short fathers tend to have taller sons is explored. The “Sports Illustrated jinx” is related and also described.

*Keywords:*
father, sons, height, Sports Illustrated, regression, multivariate

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- Title Pages
- Dedication
- Preface
- Acknowledgments
- 1 Probabilities—rules and review
- 2 Distributions of data—four plots
- 3 Mean value—estimation and a few properties
- 4 Boxplots—construction and interpretation
- 5 The lady who tasted tea—a bit of statistical history
- 6 Outlier/extreme values —a difficult decision
- 7 The role of summary statistics —brief description
- 8 Correlation and association —interpretation
- 9 Proportional reduction in error —a measure of association
- 10 Quick tests—four examples
- 11 Confounding—African-American and white infant mortality
- 12 Odds—a sometimes measure of likelihood
- 13 Odds ratio—a measure of risk?
- 14 Odds ratio—two properties rarely mentioned
- 15 Percent increase—ratios?
- 16 Diagnostic tests—assessing accuracy
- 17 Regression to the mean— father/son data
- 18 Life table—a summary of mortality experience
- 19 Coincidence—a statistical description
- 20 Draft lottery numbers (1970)
- 21 Lotto—how to get in and how to win
- 22 Fatal coronary disease—risk
- 23 Pictures
- 24 The Monty Hall problem
- 25 Eye-witness evidence—Collins versus state of California
- 26 Probabilities and puzzles
- 27 Jokes and quotes
- 28 A true life puzzle
- 29 Rates—definition and estimation
- 30 Geometry of an approximate average rate
- 31 Simpson’s paradox—two examples and a bit more
- 32 Smoothing—median values
- 33 Two by two table—a missing observation
- 34 Survey data—randomized response
- 35 Viral incidence estimation —a shortcut
- 36 Two-way table—a graphical analysis
- 37 Data—too good to be true?
- 38 A binary variable—twin pairs
- 39 Mr. Rich and Mr. Poor—a give and take equilibrium
- 40 Log-normal distribution—leukemia and pesticide exposure
- 41 A contribution to statistics
- Appendix
- Subject Index