TY - BOOK AU - Gould, Robert TI - Introductory statistics: exploring the world through data U1 - 519.5 PY - 2013/// CY - Boston PB - Pearson N1 - CASE STUDY • Deadly Cell Phones? 1.1 What Are Data? 4 1.2 Classifying and Storing Data 1.3 Organizing Categorical Data 1.4 Collecting Data To Understand Causality 14 EXPLORING STATISTiCS > Collecting a Table of Different Kinds of Data 24 Picturing Variation with Graphs 34 CASE STUDY • Student-to-Teacher Ratio at Private and Public Colleges 35 2.1 Visualizing Variation in Numerical Data 36 2.2 Summarizing Important Features ofa Numerical Distribution 4l 2.3 Visualizing Variation in Categorical Variables 49 2.4 Summarizing Categorical Distributions 52 2.5 Interpreting Graphs 55 EXPLORING STATISTICS > Personal Distance 58 Numerical Summaries of Center and Variation 76 CASE STUDY • Living in a Risky World 77 3.1 Summaries for Symmetric Distributions 78 3.2 What's Unusual? The Empirical Rule and z-Scores 88 3.3 Summaries for Skewed Distributions 93 3.4 Comparing Measures of Center 100 3.5 Using Boxplots for Displaying Summaries 104 EXPLORING STATISTICS > Does Reaction Distance Depend on Gender? 110 Regression Analysis: Exploring Associations between Variables 132 CASE STUDY • Catching Meter Thieves 133 4.1 Visualizing Variability with a Scatterplot 134 4.2 Measuring Strength of Association with Correlation 138 4.3 Modeling Linear Trends 146 4.4 Evaluating the Linear Model 161 EXPLORING STATISTICS Guessing the Age of Famous People CASE STUDY • SIDS or Murder? 195 5.1 What is Randomness? 196 5.2 Finding Theoretical Probabilities 200 5.3 Associations in Categorical Variables 209 5.4 Finding Empirical Probabilities with Simulations 220 EXPLORING STATISTICS > "Let's Make a Deal": Stay or Switch? 228 Modeling Random Events: The Normal and Binomial Models 242 CASE STUDY • You Sometimes Get More Than You Pay For 243 6.1 Probability Distributions Are Models of Random Experiments 244 6.2 The Normal Model 249 6.3 The Binomial Model 262 EXPLORING STATISTICS > ESP with Coin Flipping 277 CHAPTER y? Survey Sampling and Inference 294 CHAPTER CASE STUDY • Spring Break Fever: Just What the Doctors Ordered? 295 7.1 Learning about the World through Surveys 296 7.2 Measuring the Quality of a Survey 302 7.3 The Central Limit Theorem for Sample Proportions 311 7.4 Estimating the Population Proportion with Confidence Intervals 317 7.5 Margin of Error and Sample Size for Proportions 323 EXPLORING STATISTICS Simple Random Sampling Prevents Bias 325 Hypothesis Testing for Population Proportions 338 CASE STUDY • Violence on TV 339 8.1 The Main Ingredients of Hypothesis Testing 340 8.2 Characterizing p-values 346 8.3 Hypothesis Testing in Four Steps 349 8.4 Comparing Proportions from Two Populations 358 8.5 Understanding Hypothesis Testing 363 EXPLORING STATISTICS > Identifying Flavors of Gum through Smell 370 CHAPTER Inferring Population Means 386 CASE STUDY • Epilepsy Drugs and Children 387 9.1 Sample Means of Random Samples 388 9.2 The Central Limit Theorem for Sample Means 392 9.3 Answering Questions about the Mean ofa Population 9.4 Comparing Two Population Means 411 9.5 Overview of Analyzing Means 421 EXPLORING STATISTICS !> Pulse Rates 425 CHAPTER U) Associations between Categorical Variables 448 CASE STUDY • Popping Better Popcorn 449 10.1 The Basic Ingredients for Testing with Categorical Variables 10.2 The Chi-Square Test for Goodness of Fit 460 CONTENTS 10.3 Chi-Square Tests for Associations between Categorical Variables 10.4 Hypothesis Tests When Sample Sizes Are Small 473 EXPLORING STATISTICS > Skittles 479 Multiple Comparisons and Analysis of Variance 498 CASE STUDY • Seeing Red 499 11.1 Multiple Comparisons 500 11.2 The Analysis of Variance 506 11.3 The ANOVA Test 513 11.4 Post-Hoc Procedures 518 EXPLORING STATISTICS > Recovery Heart Rate 525 Experimental Design: Controlling Variation 540 CASE STUDY • Does Stretching Improve Athletic Performance? 541 12.1 Variation Out of Control 542 12.2 Controlling Variation in Surveys 550 12.3 Reading Research Papers 555 EXPLORING STATISTICS > Reporting on Research Articles 563 Inference without NormaLIty 574 CASE STUDY • Electric Rays 575 13.1 Transforming Data 576 13.2 The Sign Test for Paired Data 584 XII CONTENTS 13.3 Mann-Whitney Test for Two Independent Groups 588 13.4 Randomization Tests 593 EXPLORING STATISTICS • Balancing on One Foot 600 CHAPTER Inference for Regression 622 CASE STUDY • Building a Better Oyster Shucker 623 14.1 The Linear Regression Model 624 14.2 Using the Linear Model 633 14.3 Predicting Values and Estimating Means 641 EXPLORING STATISTICS >• Older and Slower? 650 ER -