1. Exploring One-Variable Data
1.1 Introducing Statistics: What Can We Learn from Data?
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1.2 The Language of Variation: Variables
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1.3 Representing a Categorical Variable with Tables
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1.4 Representing a Categorical Variable with Graphs
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1.5 Representing a Quantitative Variable with Graphs
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1.6 Describing the Distribution of a Quantitative Variable
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1.7 Summary Statistics for a Quantitative Variable
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1.8 Graphical Representations of Summary Statistics
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1.9 Comparing Distributions of a Quantitative Variable
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1.10 The Normal Distribution
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1.1 Introducing Statistics: What Can We Learn from Data?1.2 The Language of Variation: Variables1.3 Representing a Categorical Variable with Tables1.4 Representing a Categorical Variable with Graphs1.5 Representing a Quantitative Variable with Graphs1.6 Describing the Distribution of a Quantitative Variable1.7 Summary Statistics for a Quantitative Variable1.8 Graphical Representations of Summary Statistics1.9 Comparing Distributions of a Quantitative Variable1.10 The Normal Distribution
2. Exploring Two-Variable Data
2.1 Introducing Statistics: Are Variables Related?
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2.2 Representing Two Categorical Variables
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2.3 Statistics for Two Categorical Variables
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2.4 Representing the Relationship Between Two Quantitative Variables
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2.5 Correlation
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2.6 Linear Regression Models
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2.7 Residuals
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2.8 Least Squares Regression
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2.9 Analyzing Departures from Linearity
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2.1 Introducing Statistics: Are Variables Related?2.2 Representing Two Categorical Variables2.3 Statistics for Two Categorical Variables2.4 Representing the Relationship Between Two Quantitative Variables2.5 Correlation2.6 Linear Regression Models2.7 Residuals2.8 Least Squares Regression2.9 Analyzing Departures from Linearity
3. Collecting Data
3.1 Introducing Statistics: Do the Data We Collected Tell the Truth?
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3.2 Introduction to Planning a Study
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3.3 Potential Problems with Sampling
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3.4 Introduction to Experimental Design
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3.5 Selecting an Experimental Design
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3.6 Inference and Experiments
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3.1 Introducing Statistics: Do the Data We Collected Tell the Truth?3.2 Introduction to Planning a Study3.3 Potential Problems with Sampling3.4 Introduction to Experimental Design3.5 Selecting an Experimental Design3.6 Inference and Experiments
4. Probability, Random Variables, and Probability Distributions
4.1 Introducing Statistics: Random and Non-Random Patterns
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4.2 Estimating Probabilities Using Simulation
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4.3 Introduction to Probability
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4.4 Mutually Exclusive Events
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4.5 Conditional Probability
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4.6 Independent Events and Unions of Events
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4.7 Introduction to Random Variables and Probability Distributions
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4.8 Mean and Standard Deviation of Random Variables
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4.9 Combining Random Variables
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4.10 Introduction to the Binomial Distribution
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4.11 Parameters for a Binomial Distribution
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4.12 The Geometric Distribution
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4.1 Introducing Statistics: Random and Non-Random Patterns4.2 Estimating Probabilities Using Simulation4.3 Introduction to Probability4.4 Mutually Exclusive Events4.5 Conditional Probability4.6 Independent Events and Unions of Events4.7 Introduction to Random Variables and Probability Distributions4.8 Mean and Standard Deviation of Random Variables4.9 Combining Random Variables4.10 Introduction to the Binomial Distribution4.11 Parameters for a Binomial Distribution4.12 The Geometric Distribution
5. Sampling Distributions
5.1 Introducing Statistics: Why Is My Sample Not Like Yours?
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5.2 The Normal Distribution, Revisited
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5.3 The Central Limit Theorem
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5.4 Biased and Unbiased Point Estimates
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5.5 Sampling Distributions for Sample Proportions
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5.6 Sampling Distributions for Differences in Sample Proportions
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5.7 Sampling Distributions for Sample Means
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5.8 Sampling Distributions for Differences in Sample Means
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5.1 Introducing Statistics: Why Is My Sample Not Like Yours?5.2 The Normal Distribution, Revisited5.3 The Central Limit Theorem5.4 Biased and Unbiased Point Estimates5.5 Sampling Distributions for Sample Proportions5.6 Sampling Distributions for Differences in Sample Proportions5.7 Sampling Distributions for Sample Means5.8 Sampling Distributions for Differences in Sample Means
6. Inference for Categorical Data: Proportions
6.1 Introducing Statistics: Why Be Normal?
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6.2 Constructing a Confidence Interval for a Population Proportion
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6.3 Justifying a Claim Based on a Confidence Interval
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6.4 Setting Up a Test for a Population Proportion
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6.5 Interpreting p-Values
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6.6 Concluding a Test for a Population Proportion
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6.7 Potential Errors When Performing Tests
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6.8 Confidence Intervals for the Difference of Two Proportions
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6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions
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6.10 Setting Up a Test for the Difference of Two Population Proportions
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6.11 Carrying Out a Test for the Difference of Two Population Proportions
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6.1 Introducing Statistics: Why Be Normal?6.2 Constructing a Confidence Interval for a Population Proportion6.3 Justifying a Claim Based on a Confidence Interval6.4 Setting Up a Test for a Population Proportion6.5 Interpreting p-Values6.6 Concluding a Test for a Population Proportion6.7 Potential Errors When Performing Tests6.8 Confidence Intervals for the Difference of Two Proportions6.9 Justifying a Claim Based on a Confidence Interval for a Difference of Population Proportions6.10 Setting Up a Test for the Difference of Two Population Proportions6.11 Carrying Out a Test for the Difference of Two Population Proportions
7. Inference for Quantitative Data: Means
7.1 Introducing Statistics: Why Should I Worry About Error?
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7.2 Constructing a Confidence Interval for a Population Mean
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7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval
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7.4 Setting Up a Test for a Population Mean
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7.5 Carrying Out a Test for a Population Mean
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7.6 Confidence Intervals for the Difference of Two Means
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7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval
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7.8 Setting Up a Test for the Difference of Two Population Means
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7.9 Carrying Out a Test for the Difference of Two Population Means
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7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
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7.1 Introducing Statistics: Why Should I Worry About Error?7.2 Constructing a Confidence Interval for a Population Mean7.3 Justifying a Claim About a Population Mean Based on a Confidence Interval7.4 Setting Up a Test for a Population Mean7.5 Carrying Out a Test for a Population Mean7.6 Confidence Intervals for the Difference of Two Means7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval7.8 Setting Up a Test for the Difference of Two Population Means7.9 Carrying Out a Test for the Difference of Two Population Means7.10 Skills Focus: Selecting, Implementing, and Communicating Inference Procedures
8. Inference for Categorical Data: Chi-Square
8.1 Introducing Statistics: Are My Results Unexpected?
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8.2 Setting Up a Chi-Square Goodness of Fit Test
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8.3 Carrying Out a Chi-Square Test for Goodness of Fit
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8.4 Expected Counts in Two-Way Tables
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8.5 Setting Up a Chi-Square Test for Homogeneity or Independence
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8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence
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8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
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8.1 Introducing Statistics: Are My Results Unexpected?8.2 Setting Up a Chi-Square Goodness of Fit Test8.3 Carrying Out a Chi-Square Test for Goodness of Fit8.4 Expected Counts in Two-Way Tables8.5 Setting Up a Chi-Square Test for Homogeneity or Independence8.6 Carrying Out a Chi-Square Test for Homogeneity or Independence8.7 Skills Focus: Selecting an Appropriate Inference Procedure for Categorical Data
9. Inference for Quantitative Data: Slopes
9.1 Introducing Statistics: Do Those Points Align?
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9.2 Confidence Intervals for the Slope of a Regression Model
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9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval
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9.4 Setting Up a Test for the Slope of a Regression Model
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9.5 Carrying Out a Test for the Slope of a Regression Model
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9.6 Skills Focus: Selecting an Appropriate Inference Procedure
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9.1 Introducing Statistics: Do Those Points Align?9.2 Confidence Intervals for the Slope of a Regression Model9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval9.4 Setting Up a Test for the Slope of a Regression Model9.5 Carrying Out a Test for the Slope of a Regression Model9.6 Skills Focus: Selecting an Appropriate Inference Procedure