Seeing Through Statistics - Softcover

PART 1: FINDING DATA IN LIFE. 1. THE BENEFITS AND RISKS OF USING STATISTICS 1.1 Statistics. Case study. 1.1 Heart or Hypothalamus? 1.2 Detecting Patterns and Relationships. Case study. 1.2 Does Aspirin Prevent Heart Attacks? 1.3 Don't Be Deceived by Improper Use of Statistics. CASE STUDY 1.3 [To come]. 1.4 Summary and Conclusions. Thinking About Key Concepts. Exercises. Mini-Projects. References. 2. READING THE NEWS. 2.1 The Educated Consumer of Data. 2.2 Origins of News Stories. 2.3 How to be a Statistics Sleuth: Seven Critical Components. 2.4 Four Hypothetical Examples of Bad Reports. CASE STUDY 2.1 Who Suffers from Hangovers? 2.5 Planning Your Own Study: Defining the Components in Advance. CASE STUDY 2.2. Thinking About Key Concepts. Exercises. Mini-Projects. References. 3. MEASUREMENTS, MISTAKES, AND MISUNDERSTANDINGS. 3.1 Simple Measures Don't Exist. 3.2 It's All in the Wording. CASE STUDY 3.1 No Opinion of Your Own? Let Politics Decide. 3.3 Open or Closed Questions: Should Choices Be Given?. 3.4 Defining What Is Being Measured. CASE STUDY 3.2. 3.5 Defining a Common Language. Thinking About Key Concepts. Exercises. Mini-Projects. References. 4. HOW TO GET A GOOD SAMPLE. 4.1 Common Research Strategies. 4.2 Defining a Common Language. 4.3 The Beauty of Sampling. 4.4 Simple Random Sampling. 4.5 Other Sampling Methods. 4.6 Difficulties and Disasters in Sampling. CASE STUDY 4.1 The Infamous Literary Digest Poll of 1936. Thinking About Key Concepts. Exercises. Mini-Projects. References. 5. EXPERIMENTS AND OBSERVATIONAL STUDIES. 5.1 Defining a Common Language. 5.2 Designing a Good Experiment. CASE STUDY 5.1 Quitting Smoking with Nicotine Patches. 5.3 Difficulties and Disasters in Experiments. CASE STUDY 5.2 Beat the Heat with a Frozen Treat. 5.4 Designing a Good Observational Experiment. CASE STUDY 5.3. 5.5 Difficulties and Disasters in Observational Studies. 5.6 Random Sample versus Random Assignment. Thinking About Key Concepts. Exercises. Mini-Projects. References 6. GETTING THE BIG PICTURE. 6.1 Final Questions. CASE STUDY 6.1 Mozart, Relaxation, and Performance on Spatial Tasks. CASE STUDY. 6.2 Can Meditation Boost Test Scores?. CASE STUDY 6.3 Drinking, Driving, and the Supreme Court. CASE STUDY 6.4 Smoking During Pregnancy and Child's IQ. CASE STUDY 6.5 For Class Discussion: Guns and. Homicides at Home. Mini-Projects. References. PART II: FINDING LIFE IN DATA. 7. SUMMARIZING AND DISPLAYING MEASUREMENT DATA. 7.1 Turning Data into Information. 7.2 Picturing Data: Stemplots and Histograms. 7.3 Five Useful Numbers: A Summary. 7.4 Boxplots. 7.5 Traditional Measures: Mean, Variance, and Standard Deviation. 7.6 Caution: Being Average Isn't Normal. CASE STUDY 7.1 Detecting Exam Cheating with a Histogram. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 8. BELL-SHAPED CURVES AND OTHER SHAPES. 8.1 Populations, Frequency Curves, and Proportions. 8.2 The Pervasiveness of Normal Curves. 8.3 Percentiles and Standardized Scores. 8.4 z-Scores and Familiar Intervals. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. References 9. PLOTS, GRAPHS, AND PICTURES. 9.1 Well-Designed Statistical Pictures. 9.2 Pictures of Categorical Data. 9.3 Pictures of Measurement Variables. 9.4 Pictures Trends across Time. 9.5 Difficulties and Disasters in Plots, Graphs, and Pictures. 9.6 A Checklist for Statistical Pictures. CASE STUDY 9.1. Thinking About Key Concepts. Exercises. Mini-Projects. References. 10. RELATIONSHIPS BETWEEN MEASUREMENT VARIABLES. 10.1 Statistical Relationships. 10.2 Strength versus Statistical Significance. 10.3 Measuring Strength Through Correlation. 10.4 Specifying Linear Relationships with Regression. CASE STUDY 10.1 Are Attitudes about Love and Romance Hereditary? CASE STUDY 10.2 A Weighty Issue: Women Want Less, Men Want More. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 11. RELATIONSHIPS CAN BE DECEIVING. 11.1 Illegitimate Correlations. 11.2 Legitimate Correlation Does Not Imply Causation. 11.3 Some Reasons for Relationships Between Variables. 11.4 Confirming Causation. Case Study 11.1. Thinking About Key Concepts. Exercises. Mini-Projects. References. 12. RELATIONSHIPS BETWEEN CATEGORICAL VARIABLES 12.1 Displaying Relationships Between Categorical Variables: Contingency Tables. 12.2 Relative Risk, Increased Risk, and Odds. 12.3 Misleading Statistics about Risk. 12.4 Simpson's Paradox: The Missing Third Variable. CASE STUDY 12.1 Assessing Discrimination in Hiring and Firing. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. CH 13. STATISTICAL SIGNIFICANCE FOR 2X2 TABLES 13.1 Measuring the Strength of the Relationship. 13.2 Steps for Assessing Statistical Significance. 13.3 The Chi-Square Test. 13.4 Practical versus Statistical Significance. CASE STUDY 13.1 Extrasensory Perception Works Best with Movies. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. PART III: UNDERSTANDING UNCERTAINTY IN LIFE. 14. UNDERSTANDING PROBABILITY AND LONG-TERM EXPECTATIONS 14.1 Probability. 14.2 The Relative-Frequency Interpretation. 14.3 The Personal-Probability Interpretation. 14.4 Applying Some Simple Probability Rules. 14.5 When Will It Happen? 14.6 Long-Term Gains, Losses, and Expectations. CASE STUDY 14.1 Birthdays and Death Days-Is There a Connection? Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 15. UNDERSTANDING UNCERTAINTY THROUGH SIMULATION 15.1 Mimicking Reality through Simulation. 15.2 Simulating the Chi-Square Test. 15.3 Randomization Tests. 15.4 Simulating Probabilities. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 16. PSYCHOLOGICAL INFLUENCES ON PERSONAL PROBABILITY 16.1 Revisiting Personal Probability. 16.2 Equivalent Probabilities; Different Decisions. 16.3 How Personal Probabilities can Be Distorted. 16.4 Optimism, Reluctance to Change, and Overconfidence. 16.5 Calibrating Personal Probabilities of Experts. CASE STUDY 16.1 Calibrating Weather Forecasters and Physicians. 16.6 Tips for Improving Your Personal Probabilities and Judgments. Thinking About Key. Concepts. Exercises. Mini-Projects. References. 17. WHEN INTUITION DIFFERS FROM RELATIVE FREQUENCY 17.1 Revisiting Relative Frequency. 17.2 Coincidences. 17.3 The Gambler's Fallacy. 17.4 Confusion of the Inverse. CASE STUDY 17.1 Streak Shooting in Basketball: Reality or Illusion?. 17.5 Using Expected Values to Make Wise Decisions. CASE STUDY 17.2. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 18. UNDERSTANDING UNCERTAINTY IN ECONOMICS. 18.1 Cost of Living: The Consumer Price Index. 18.2 Uses of the Consumer Price Index. 18.3 Criticisms of the Consumer Price Index. 18.4 Seasonal Adjustments: Reporting the Consumer Price Index 18.5 Economic Indicators. CASE STUDY 18.1 Did Wages Really Go Up in the Reagan-Bush Years? Thinking About Key Concepts. Exercises. Mini-Projects. References. PART IV: MAKING JUDGMENTS FROM SURVEYS AND EXPERIMENTS. 19. THE DIVERSITY OF SAMPLES FROM THE SAME POPULATION. 19.1 Setting the Stage. 19.2 What to Expect of Sample Proportions. 19.3 What to Expect of Sample Means. 19.4 What to Expect in Other Situations. CASE STUDY 19.1. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 20. ESTIMATING PROPORTIONS WITH CONFIDENCE. 20.1 Confidence Intervals. 20.2 Three Examples of Confidence Intervals from the Media. 20.3 Constructing a Confidence Interval for a Proportion. CASE STUDY 20.1. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. CH 21. THE ROLE OF CONFIDENCE INTERVALS IN RESEARCH. 21.1 Confidence Intervals for Population Means. 21.2 Confidence Intervals for the Difference Between Two Means. 21.3 Revisiting Case Studies: How Journals Present Confidence Intervals. 21.4 Understanding Any Confidence Interval. CASE STUDY 21.1 Premenstrual Syndrome? Try Calcium. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 22. REJECTING CHANCE-TESTING HYPOTHESES IN RESEARCH. 22.1 Using Data to Make Decisions. 22.2 The Basic Steps for Testing Hypotheses. 22.3 Testing Hypotheses for Proportions. 22.4 What Can Go Wrong: The Two Types of Errors. CASE STUDY 22.1 Testing for the Existence of Extrasensory Perception. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 23. HYPOTHESIS TESTING-EXAMPLES AND CASE STUDIES. 23.1 How Hypothesis Tests are Reported in the News. 23.2 Testing Hypotheses about Proportions and Means. 23. 3 Revisiting Case Studies: How Journals Present Hypothesis Tests. CASE STUDY 23.1 An Interpretation of a p-Value Not Fit to Print. Thinking About Key Concepts. For Those Who Like Formulas. Exercises. Mini-Projects. References. 24. SIGNIFICANCE, IMPORTANCE, AND UNDETECTED DIFFERENCES. 24.1 Real Importance versus Statistical Significance. 24.2 The Role of Sample Size in Statistical Significance. 24.3 No Difference versus No Statistically Significant Difference. CASE STUDY 24.1 Does Eating Breakfast Cereal Produce More Boys? 24.4 Multiple Tests and False Positives. 24.5 A Summary of Warnings. CASE STUDY 24.2. Thinking About Key Concepts. Exercises. Mini-Projects. References. 25. META-ANALYSIS: RESOLVING INCONSISTENCIES ACROSS STUDIES. 25.1 The Need for Meta-Analysis. 25.2 Two Important Decisions for the Analyst. CASE STUDY 25.1 Smoking and Reduced Fertility. 25.3 Some Benefits of Meta-Analysis. 25.4 Criticisms of Meta-Analysis. CASE STUDY 25.2 Controversy over Breast Cancer Screening. Thinking About Key Concepts. Exercises. Mini-Projects. References. 26. ETHICS IN STATISTICAL STUDIES. 26.1 Ethical Treatment of Human and Animal Participants. 26.2 Assurance of Data Quality. 26.3 Appropriate Statistical Analyses. 26.4 Fair Reporting of Results. CASE STUDY 26.1 Science Fair Project or Fair Science Project? Exercises. References. 27. PUTTING WHAT YOU HAVE LEARNED TO THE TEST.

The fourth edition of this popular book by Jessica Utts develops statistical literacy and critical thinking through real-world applications, with an emphasis on ideas, not calculations. This text focuses on the key concepts that educated citizens need to know about statistics. These ideas are introduced in interesting applied and real contexts, without using an abundance of technicalities and calculations that only serve to confuse students.