Statistics: The Art and Science of Learnin...

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Beschreibung

PART I: GATHERING AND EXPLORING DATA

Statistics: The Art and Science of Learning from Data
- Using Data to Answer Statistical Questions
- Sample Versus Population
- Organizing Data, Statistical Software, and the New Field of Data Science
- Chapter Summary
- Chapter Exercises
Exploring Data with Graphs and Numerical Summaries
- Different Types of Data
- Graphical Summaries of Data
- Measuring the Center of Quantitative Data
- Measuring the Variability of Quantitative Data
- Using Measures of Position to Describe Variability
- Linear Transformations and Standardizing
- Recognizing and Avoiding Misuses of Graphical Summaries
- Chapter Summary
- Chapter Exercises
Exploring Relationships Between Two Variables
- The Association Between Two Categorical Variables
- The Relationship Between Two Quantitative Variables
- Linear Regression: Predicting the Outcome of a Variable
- Cautions in Analyzing Associations
- Chapter Summary
- Chapter Exercises
Gathering Data
- Experimental and Observational Studies
- Good and Poor Ways to Sample
- Good and Poor Ways to Experiment
- Other Ways to Conduct Experimental and Nonexperimental Studies
- Chapter Summary
- Chapter Exercises

PART II: PROBABILITY, PROBABILITY DISTRIBUTIONS, AND SAMPLINGDISTRIBUTIONS Probability in Our Daily Lives

How Probability Quantifies Randomness
Finding Probabilities
Conditional Probability
Applying the Probability Rules
Chapter Summary
Chapter Exercises

Random Variables and Probability Distributions

Summarizing Possible Outcomes and Their Probabilities
Probabilities for Bell-Shaped Distributions
Probabilities When Each Observation Has Two Possible Outcomes
Chapter Summary
Chapter Exercises

Sampling Distributions

How Sample Proportions Vary Around the Population Proportion
How Sample Means Vary Around the Population Mean
Using the Bootstrap to Find Sampling Distributions
Chapter Summary
Chapter Exercises

PART III: INFERENTIAL STATISTICSStatistical Inference: Confidence Intervals

Point and Interval Estimates of Population Parameters
Confidence Interval for a Population Proportion
Confidence Interval for a Population Mean
Bootstrap Confidence Intervals
Chapter Summary
Chapter Exercises

Statistical Inference: Significance Tests About Hypotheses

Steps for Performing a Significance Test
Significance Tests About Proportions
Significance Tests About a Mean
Decisions and Types of Errors in Significance Tests
Limitations of Significance Tests
The Likelihood of a Type II Error
Chapter Summary
Chapter Exercises

Comparing Two Groups

Categorical Response: Comparing Two Proportions
Quantitative Response: Comparing Two Means
Comparing Two Groups with Bootstrap or Permutation Resampling
Analyzing Dependent Samples
Adjusting for the Effects of Other Variables
Chapter Summary
Chapter Exercises

PART IV: ANALYZING ASSOCIATION AND EXTENDED STATISTICALMETHODSAnalyzing the Association Between Categorical Variables

Independence and Dependence (Association)
Testing Categorical Variables for Independence
Determining the Strength of the Association
Using Residuals to Reveal the Pattern of Association
Fisher's Exact and Permutation Tests
Chapter Summary
Chapter Exercises

Analyzing the Association Between Quantitative Variables: Regression Analysis

Modeling How Two Variables Are Related
Inference About Model Parameters and the Association
Describing the Strength of Association
How the Data Vary Around the Regression Line
Exponential Regression: A Model for Nonlinearity
Chapter Summary
Chapter Exercises

Multiple Regression

Using Several Variables to Predict a Response
Extending the Correlation and R2 for Multiple Regression
Using Multiple Regression to Make Inferences
Checking a Regression Model Using Residual Plots
Regression and Categorical Predictors
Modeling a Categorical Response
Chapter Summary
Chapter Exercises

Comparing Groups: Analysis of Variance Methods

One-Way ANOVA: Comparing Several Means
Estimating Differences in Groups for a Single Factor
Two-Way ANOVA
Chapter Summary
Chapter Exercises

Nonparametric Statistics

Compare Two Groups by Ranking
Nonparametric Methods for Several Groups and for Matched Pairs
Chapter Summary
Chapter Exercises

Appendix
Answers
Index
Index of Applications
Credits