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Finding Data in Life | |
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The Benefits and Risks of Using Statistics | |
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Statistics | |
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Detecting Patterns and Relationships | |
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Don't Be Deceived by Improper Use of Statistics | |
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Summary and Conclusions | |
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Reading the News | |
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The Educated Consumer of Data | |
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Origins of News Stories | |
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How to be a Statistics Sleuth: Seven Critical Components | |
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Four Hypothetical Examples of Bad Reports | |
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Planning Your Own Study: Defining the Components in Advance | |
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Measurements, Mistakes, and Misunderstandings | |
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Simple Measures Don't Exist | |
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It's All in the Wording | |
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Open or Closed Questions: Should Choices Be Given? Defining What is Being Measured | |
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Defining a Common Language | |
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How to Get a Good Sample | |
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Common Research Strategies | |
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Defining a Common Language | |
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The Beauty of Sampling | |
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Simple Random Sampling | |
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Other Sampling Methods | |
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Difficulties and Disasters in Sampling | |
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Experiments and Observational Studies | |
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Defining a Common Language | |
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Designing a Good Experiment | |
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Difficulties and Disasters in Experiments | |
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Designing a Good Observational Experiment | |
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Difficulties and Disasters in Observational Studies | |
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Random Sample versus Random Assignment | |
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Getting the Big Picture | |
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Final Questions | |
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Case Studies | |
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Finding Life in Data | |
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Summarizing and Displaying Measurement Data | |
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Turning Data into Information | |
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Picturing Data: Stemplots and Histograms | |
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Five Useful Numbers: A Summary | |
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Boxplots | |
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Traditional Measures: Mean, Variance, and Standard Deviation | |
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Caution: Being Average Isn't Normal | |
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Bell-Shaped Curves and Other Shapes | |
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Populations, Frequency Curves, and Proportions | |
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The Pervasiveness of Normal Curves | |
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Percentiles and Standardized Scores | |
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z-Scores and Familiar Intervals | |
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Plots, Graphs, and Pictures | |
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Well-Designed Statistical Pictures | |
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Pictures of Categorical Data | |
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Pictures of Measurement Variables | |
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Difficulties and Disasters in Plots, Graphs, and Pictures | |
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A Checklist for Statistical Procedures | |
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Relationships Between Measurement Variables | |
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Statistical Relationships | |
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Strength versus Statistical Significance | |
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Measuring Strength Through Correlation | |
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Specifying Linear Relationships through Regression | |
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Relationships Can Be Deceiving | |
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Illegitimate Correlations | |
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Legitimate Correlation Does Not Imply Causation | |
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Some Reasons for Relationships Between Variables | |
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Confirming Causation | |
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Relationships Between Categorical Variables | |
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Displaying Relationships Between Categorical Variables | |
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Relative Risk, Increased Risk, and Odds | |
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Misleading Statistics about Risk | |
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Simpson's Paradox: The Missing Third Variable | |
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Statistical Significance for 2 x 2 Tables | |
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Measuring the Strength of a Relationship | |
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Steps for Assessing Statistical Significance | |
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The Chi-Square Test | |
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Practical versus Statistical Significance | |
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Reading the Economic News | |
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Cost of Living: The Consumer Price Index | |
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Uses of the Consumer Price Index | |
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Criticisms of the Consumer Price Index | |
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Economic Indicators | |
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Understanding and Reporting Trends over Time | |
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Time Series | |
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Components of Time Series | |
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Seasonal Adjustments: Reporting the Consumer Price Index | |
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Cautions and Checklist | |
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Understanding Uncertainty in Life | |
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Understanding Probability and Long-Term Expectations | |
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Probability | |
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The Relative-Frequency Interpretation | |
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The Personal-Probability Interpretation | |
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Applying Some Simple Probability Rules | |
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When Will It Happen? Long-Term Gains, Losses, and Expectations | |
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Psychological Influences on Personal Probability | |
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Revisiting Personal Probability | |
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Equivalent Probabilities: Different Decisions | |
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How Personal Probabilities can Be Distorted | |
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Optimism, Reluctance to Change, and Overconfidence | |
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Calibrating Personal Probabilities of Experts | |
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Tips for Improving Your Personal Probabilities and Judgments | |
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When Intuition Differs from Relative Frequency | |
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Revisiting Relative Frequency | |
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Coincidences | |
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The Gambler's Fallacy | |
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Confusion of the Inverse | |
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Using Expected Values to Make Wise Decisions | |
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Making Judgments From Surveys and Experiments | |
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The Diversity of Samples from the Same Population | |
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Setting the Stage | |
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What to Expect of Sample Proportions | |
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What to Expect of Sample Means | |
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What to Expect in Other Situations | |
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Estimating Proportions with Confidence | |
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Confidence Intervals | |
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Three Examples of Confidence Intervals from the Media | |
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Constructing a Confidence Interval for a Proportion | |
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The Role of Confidence Intervals in Research | |
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Confidence Intervals for Population Means | |
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Confidence Intervals for the Difference Between Two Means | |
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Revisiting Case Studies: How Journals Present Confidence Intervals | |
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Understanding Any Confidence Interval | |
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Rejecting Chance--Testing Hypotheses in Research | |
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Using Data to Make Decisions | |
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The Basic Steps for Testing Hypotheses | |
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Testing Hypotheses for Proportions | |
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What Can Go Wrong: The Two Types of Errors | |
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Hypothesis Testing--Examples and Case Studies | |
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How Hypothesis Tests are Reported in the News | |
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Testing Hypotheses about Proportions and Means | |
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Revisiting Case Studies: How Journals Present Hypothesis Tests | |
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Significance, Importance, and Undetected Differences | |
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Real Importance versus Statistical Significance | |
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The Role of Sample Size in Statistical Significance | |
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No Difference versus No Statistically Significant Difference | |
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A Summary of Warnings | |
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Meta-Analysis: Resolving Inconsistencies across Studies | |
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The Need for Meta-Analysis | |
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Two Important Decisions for the Analyst | |
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Some Benefits of Meta-Analysis | |
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Criticisms of Meta-Analysis | |
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Ethics in Statistical Studies | |
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Ethical Treatment of Human and Animal Participants | |
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Assurance of Data Quality | |
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Appropriate Statistical Analyses | |
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Fair Reporting of Results | |
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Putting What You Have Learned to the Test | |
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Case Studies | |
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Solutions to Selected Exercises | |
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Index | |