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Chapter Summary | |
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Summary of notation | |
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Chapter Exercises | |
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Statistics: The Art and Science of Learning from Data | |
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How Can You Investigate Using Data? | |
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We Learn about Populations Using Samples | |
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What Role do Computers Play in Statistics? | |
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Exploring Data with Graphs and Numerical Summaries | |
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1What Are the Types of Data? | |
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How Can We Describe Data Using Graphical Summaries? | |
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How Can We Describe the Center of Quantitative Data? | |
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How Can We Describe the Spread of Quantitative Data? | |
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How Can Measures of Position Describe Spread? | |
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How Are Descriptive Summaries Misused? | |
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Association: Contingency, Correlation, and Regression | |
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How Can We Explore the Association between Two Categorical Variables? | |
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How Can We Explore the Association between Two Quantitative Variables? | |
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How Can We Predict the Outcome of a Variable | |
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What are Some Cautions in Analyzing Associations? | |
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Gathering Data | |
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Should We Experiment or Should We Merely Observe? | |
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What Are Good Ways and Poor Ways to Sample? | |
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What Are Good Ways and Poor Ways to Experiment? | |
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What Are Other Ways to Perform Experimental and Observational Studies? | |
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Probability in our Daily Lives | |
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How Can Probability Quantify Randomness? | |
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How Can We Find Probabilities? | |
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Conditional Probability: What's the Probability of A, Given B? | |
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Applying the Probability Rules | |
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Probability Distributions | |
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How Can We Summarize Possible Outcomes and their Probabilities? | |
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How Can We Find Probabilities for Bell-Shaped Distributions? | |
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How Can We Find Probabilities when Each Observation Has Two Possible | |
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How Likely Are the Possible Values of a Statistic?: The Sampling Distribution | |
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How Close Are Sample Means to Population Means | |
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How Can We Make Inferences about a Population? | |
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Statistical Inference: Confidence Intervals | |
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What Are Point and Interval Estimates of Population Parameters? | |
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How Can We Construct a Confidence Interval to Estimate a Population Proportion? | |
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How Can We Construct a Confidence Interval to Estimate a Population Mean? | |
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How Do We Choose the Sample Size for a Study | |
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How Do Computers Make New Estimation Methods Possible? | |
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Statistical Inference: Significance Tests about Hypotheses | |
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What Are the Steps for Performing a Significance Test? | |
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Significance Tests about Proportions | |
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Significance Tests about Means | |
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Decisions and Types of Errors in Significance Tests | |
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Limitations of Significance Tests | |
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How Likely Is Type Error (Not Rejecting Even though it's False)? | |
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Comparing Two Groups | |
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Categorical Response: How Can We Compare Two Proportions? | |
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Quantitative Response: How Can We Compare Two Means? | |
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Other Ways of Comparing Means and Comparing Proportions | |
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How Can We Analyze Dependent Samples? | |
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How Can We Adjust for Effects of Other Variables? | |
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Analyzing the Association Between Categorical Variables | |
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What Is Independence and What Is Association? | |
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WhaHow Can We Test whether Categorical Variables are Independent? | |
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How Strong is the Association? | |
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How Can Residuals Reveal the Pattern of Association? | |
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If the Sample Size is Small? Fisher's Exact Test | |
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Analyzing Association between Quantitative Variables: Regression Analysis | |
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How Can We "Model" How Two Variables Are Related? | |
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How Can We Describe Strength of Association? | |
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How Can We Make Inferences about the Association? | |
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What Do We Learn from How the Data Vary around the Regression Line? | |
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Exponential Regression: A Model for Nonlinearity | |
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Multiple Regression | |
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How Can We Use Several Variables to Predict a Response? | |
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Extending the Correlation and R-squared for Multiple Regression | |
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How Can We Use Multiple Regression to Make Inferences? | |
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Checking a Regression Model Using Residual Plots | |
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How Can Regression Include Categorical Predictors? | |
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How Can We Model a Categorical Response? | |
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Comparing Groups: Analysis of Variance Methods | |
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How Can We Compare Several Means?: One-Way ANOVA | |
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How Should We Follow Up an ANOVA F test | |
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What if there Are Two Factors?: Two-way ANOVA | |
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Nonparametric Statistics | |
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How Can We Compare Two Groups by Ranking? | |
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Nonparametric Methods for Several Groups and for Matched Pairs | |
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Appendices | |
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Tables | |
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Selected Answers | |
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Index | |
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Photo Credits | |