Statistics Success Stories And Cautionary Tales | |

What Is Statistics? | |

Eight Statistical Stories with Morals | |

The Common Elements in the Eight Stories | |

Turning Data Into Information | |

Raw Data | |

Types of Variables | |

Summarizing One or Two Categorical Variables | |

Exploring Features of Quantitative Data with Pictures | |

Numerical Summaries of Quantitative Variables | |

How to Handle Outliers | |

Bell-Shaped Distributions and Standard Deviations | |

Skillbuilder Applet: The Empirical Rule in Action | |

Relationships Between Quantitative Variables | |

Looking for Patterns with Scatterplots | |

Describing Linear Patterns with a Regression Line | |

Measuring Strength and Direction with Correlation | |

Regression and Correlation Difficulties and Disasters | |

Correlation Does Not Prove Causation | |

Skillbuilder Applet: Exploring Correlation | |

Relationships Between Categorical Variables | |

Displaying Relationships Between Categorical Variables | |

Risk, Relative Risk, and Misleading Statistics About Risk | |

The Effect of a Third Variable and Simpson's Paradox | |

Assessing the Statistical Significance of a 2 x 2 Table | |

Sampling: Surveys And How To Ask Questions | |

Collecting and Using Sample Data Wisely | |

Margin of Error, Confidence Intervals, and Sample Size | |

Choosing a Simple Random Sample | |

Other Sampling Methods | |

Difficulties and Disasters in Sampling | |

How to Ask Survey Questions | |

Skillbuilder Applet: Random Sampling in Action | |

Gathering Useful Data For Examining Relationships | |

Speaking the Language of Research Studies | |

Designing a Good Experiment | |

Designing a Good Observational Study | |

Difficulties and Disasters in Experiments and Observational Studies | |

Probability | |

Random Circumstances | |

Interpretations of Probability | |

Probability Definitions and Relationships | |

Basic Rules for Finding Probabilities | |

Finding Complicated Probabilities | |

Using Simulation to Estimate Probabilities | |

Flawed Intuitive Judgments About Probability | |

Random Variables | |

What Is a Random Variable? | |

Discrete Random Variables | |

Expectations for Random Variables | |

Binomial Random Variables | |

Continuous Random Variables | |

Normal Random Variables | |

Approximating Binomial Distribution Probabilities | |

Sums, Differences, and Combinations of Random Variables | |

Understanding Sampling Distributions: Statistics As Random Variables | |

Parameters, Statistics, and Statistical Inference | |

From Curiosity to Questions About Parameters | |

An Overview of Sampling Distributions | |

Sampling Distribution for One Sample Proportion | |

Sampling Distribution for the Difference in Two Sample Proportions | |

Sampling Distribution for One Sample Mean | |

Sampling Distribution for the Sample Mean of Paired Differences | |

Sampling Distribution for the Difference in Two Sample Means | |

Preparing for Statistical Inference: Standardized Statistics | |

Generalizations Beyond the Big Five | |

Skillbuilder Applet: Finding the Pattern in Sample Means | |

Estimating Proportions With Confidence | |

An Overview of Confidence Intervals | |

Confidence Interval for a Population Proportion | |

Confidence Intervals for the Difference in Two Population Proportions | |

Using Confidence Intervals to Guide Decisions | |

Estimating Means With Confidence | |

Introduction to Confidence Intervals for Means | |

Confidence Interval for One Population Mean | |

Confidence Interval for the Population Mean of Paired Differences | |

Confidence Interval for the Difference in Two Population Means (Independent Samples) | |

Understanding Any Confidence Interval | |

Skillbuilder Applet: The Confidence Level in Action | |

Testing Hypotheses About Proportions | |

An Overview of Hypothesis Testing | |

Testing Hypotheses About a Population Proportion | |

Testing Hypotheses About the Difference in Two Population Proportions | |

Sample Size, Statistical Significance, and Practical Importance | |

Testing Hypotheses About Means | |

Introduction to Hypothesis Tests for Means | |

Testing Hypotheses about One Population Mean | |

Testing Hypotheses about the Population Mean of Paired Differences | |

Testing Hypotheses about the Difference in Two Population Means (Independent Samples) | |

The Relationship Between Significance Tests and Confidence Intervals | |

Choosing an Appropriate Inference Procedure | |

Effect Size | |

Evaluating Significance in Research Reports | |

Inference About Simple Regression | |

Sample and Population Regression Models | |

Estimating the Standard Deviation for Regression | |

Inference About the Slope of a Linear Regression | |

Predicting y and Estimating Mean y at a Specific x | |

Checking Conditions for Using Regression Models for Inference | |

More About Inference For Categorical Variables | |

The Chi-Square Test for Two-Way Tables | |

Analyzing 2 x 2 Tables | |

Testing Hypotheses About One Categorical Variable: Goodness-of-Fit | |

Analysis Of Variance | |

Comparing Means with an ANOVA F-TeSt. Details of One-Way Analysis of Variance | |

Other Methods for Comparing Populations | |

Two-Way Analysis of Variance | |

Turning Information Into Wisdom | |

Beyond the Data | |

Transforming Uncertainty Into Wisdom | |

Making Personal Decisions | |

Control of Societal Risks | |

Understanding Our World | |

Getting to Know You | |

Words to the Wise | |

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