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Statistics Success Stories And Cautionary Tales | |
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What Is Statistics? | |
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Eight Statistical Stories with Morals | |
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The Common Elements in the Eight Stories | |
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Turning Data Into Information | |
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Raw Data | |
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Types of Variables | |
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Summarizing One or Two Categorical Variables | |
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Exploring Features of Quantitative Data with Pictures | |
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Numerical Summaries of Quantitative Variables | |
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How to Handle Outliers | |
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Bell-Shaped Distributions and Standard Deviations | |
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Skillbuilder Applet: The Empirical Rule in Action | |
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Relationships Between Quantitative Variables | |
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Looking for Patterns with Scatterplots | |
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Describing Linear Patterns with a Regression Line | |
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Measuring Strength and Direction with Correlation | |
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Regression and Correlation Difficulties and Disasters | |
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Correlation Does Not Prove Causation | |
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Skillbuilder Applet: Exploring Correlation | |
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Relationships Between Categorical Variables | |
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Displaying Relationships Between Categorical Variables | |
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Risk, Relative Risk, and Misleading Statistics About Risk | |
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The Effect of a Third Variable and Simpson's Paradox | |
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Assessing the Statistical Significance of a 2 x 2 Table | |
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Sampling: Surveys And How To Ask Questions | |
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Collecting and Using Sample Data Wisely | |
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Margin of Error, Confidence Intervals, and Sample Size | |
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Choosing a Simple Random Sample | |
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Other Sampling Methods | |
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Difficulties and Disasters in Sampling | |
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How to Ask Survey Questions | |
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Skillbuilder Applet: Random Sampling in Action | |
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Gathering Useful Data For Examining Relationships | |
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Speaking the Language of Research Studies | |
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Designing a Good Experiment | |
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Designing a Good Observational Study | |
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Difficulties and Disasters in Experiments and Observational Studies | |
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Probability | |
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Random Circumstances | |
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Interpretations of Probability | |
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Probability Definitions and Relationships | |
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Basic Rules for Finding Probabilities | |
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Finding Complicated Probabilities | |
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Using Simulation to Estimate Probabilities | |
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Flawed Intuitive Judgments About Probability | |
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Random Variables | |
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What Is a Random Variable? | |
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Discrete Random Variables | |
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Expectations for Random Variables | |
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Binomial Random Variables | |
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Continuous Random Variables | |
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Normal Random Variables | |
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Approximating Binomial Distribution Probabilities | |
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Sums, Differences, and Combinations of Random Variables | |
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Understanding Sampling Distributions: Statistics As Random Variables | |
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Parameters, Statistics, and Statistical Inference | |
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From Curiosity to Questions About Parameters | |
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An Overview of Sampling Distributions | |
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Sampling Distribution for One Sample Proportion | |
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Sampling Distribution for the Difference in Two Sample Proportions | |
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Sampling Distribution for One Sample Mean | |
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Sampling Distribution for the Sample Mean of Paired Differences | |
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Sampling Distribution for the Difference in Two Sample Means | |
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Preparing for Statistical Inference: Standardized Statistics | |
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Generalizations Beyond the Big Five | |
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Skillbuilder Applet: Finding the Pattern in Sample Means | |
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Estimating Proportions With Confidence | |
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An Overview of Confidence Intervals | |
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Confidence Interval for a Population Proportion | |
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Confidence Intervals for the Difference in Two Population Proportions | |
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Using Confidence Intervals to Guide Decisions | |
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Estimating Means With Confidence | |
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Introduction to Confidence Intervals for Means | |
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Confidence Interval for One Population Mean | |
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Confidence Interval for the Population Mean of Paired Differences | |
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Confidence Interval for the Difference in Two Population Means (Independent Samples) | |
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Understanding Any Confidence Interval | |
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Skillbuilder Applet: The Confidence Level in Action | |
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Testing Hypotheses About Proportions | |
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An Overview of Hypothesis Testing | |
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Testing Hypotheses About a Population Proportion | |
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Testing Hypotheses About the Difference in Two Population Proportions | |
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Sample Size, Statistical Significance, and Practical Importance | |
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Testing Hypotheses About Means | |
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Introduction to Hypothesis Tests for Means | |
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Testing Hypotheses about One Population Mean | |
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Testing Hypotheses about the Population Mean of Paired Differences | |
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Testing Hypotheses about the Difference in Two Population Means (Independent Samples) | |
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The Relationship Between Significance Tests and Confidence Intervals | |
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Choosing an Appropriate Inference Procedure | |
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Effect Size | |
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Evaluating Significance in Research Reports | |
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Inference About Simple Regression | |
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Sample and Population Regression Models | |
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Estimating the Standard Deviation for Regression | |
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Inference About the Slope of a Linear Regression | |
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Predicting y and Estimating Mean y at a Specific x | |
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Checking Conditions for Using Regression Models for Inference | |
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More About Inference For Categorical Variables | |
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The Chi-Square Test for Two-Way Tables | |
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Analyzing 2 x 2 Tables | |
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Testing Hypotheses About One Categorical Variable: Goodness-of-Fit | |
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Analysis Of Variance | |
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Comparing Means with an ANOVA F-TeSt. Details of One-Way Analysis of Variance | |
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Other Methods for Comparing Populations | |
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Two-Way Analysis of Variance | |
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Turning Information Into Wisdom | |
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Beyond the Data | |
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Transforming Uncertainty Into Wisdom | |
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Making Personal Decisions | |
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Control of Societal Risks | |
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Understanding Our World | |
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Getting to Know You | |
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Words to the Wise | |