| Preface |
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xv | |
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1 | (24) |
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Three Reasons to Study Statistics |
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1 | (4) |
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The Nature and Role of Variability |
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5 | (3) |
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Statistics and Data Analysis |
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8 | (2) |
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Types of Data and Some Simple Graphical Displays |
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10 | (15) |
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Activity 1.1: Head Sizes: Understanding Variability |
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20 | (1) |
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Activity 1.2: Estimating Sizes |
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21 | (4) |
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The Data Analysis Process and Collecting Data Sensibly |
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25 | (54) |
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The Data Analysis Process |
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25 | (3) |
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28 | (11) |
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Statistical Studies: Observation and Experimentation |
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39 | (4) |
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Simple Comparative Experiments |
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43 | (10) |
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More on Experimental Design |
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53 | (5) |
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More on Observational Studies: Designing Surveys (Optional) |
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58 | (8) |
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Communicating and Interpreting the Results of Statistical Analyses |
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66 | (13) |
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Activity 2.1: Designing a Sampling Plan |
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68 | (1) |
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Activity 2.2: An Experiment to Test for the Stroop Effect |
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68 | (3) |
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Graphing Calculator Explorations |
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71 | (8) |
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Graphical Methods for Describing Data |
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79 | (72) |
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Displaying Categorical Data: Comparative Bar Charts and Pie Charts |
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79 | (13) |
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Displaying Numerical Data: Stem-and-Leaf Displays |
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92 | (7) |
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Displaying Numerical Data: Frequency Distributions and Histograms |
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99 | (21) |
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Displaying Bivariate Numerical Data |
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120 | (11) |
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Communicating and Interpreting the Results of Statistical Analyses |
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131 | (20) |
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Activity 3.1: Locating States |
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139 | (1) |
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Activity 3.2: Bean Counters! |
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140 | (4) |
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Graphing Calculator Explorations |
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144 | (7) |
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Numerical Methods for Describing Data |
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151 | (50) |
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Describing the Center of a Data Set |
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152 | (10) |
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Describing Variability in a Data Set |
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162 | (10) |
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Summarizing a Data Set: Boxplots |
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172 | (6) |
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Interpreting Center and Variability: Chebyshev's Rule, the Empirical Rule, and z Scores |
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178 | (9) |
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Communicating and Interpreting the Results of Statistical Analyses |
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187 | (14) |
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Activity 4.1: Collecting and Summarizing Numerical Data |
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191 | (1) |
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Activity 4.2: Boxplot Shapes |
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192 | (4) |
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Graphing Calculator Explorations |
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196 | (5) |
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Summarizing Bivariate Data |
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201 | (70) |
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201 | (12) |
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Linear Regression: Fitting a Line to Bivariate Data |
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213 | (11) |
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Assessing the Fit of a Line |
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224 | (15) |
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Nonlinear Relationships and Transformations |
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239 | (16) |
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Communicating and Interpreting the Results of Statistical Analyses |
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255 | (16) |
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Activity 5.1: Exploring Correlation and Regression Technology Activity (Applets) |
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258 | (1) |
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Activity 5.2: Age and Flexibility |
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259 | (4) |
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Graphing Calculator Explorations |
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263 | (8) |
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271 | (80) |
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Chance Experiments and Events |
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271 | (9) |
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Definition of Probability |
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280 | (8) |
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Basic Properties of Probability |
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288 | (7) |
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295 | (10) |
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305 | (10) |
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Some General Probability Rules |
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315 | (12) |
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Estimating Probabilities Empirically and Using Simulation |
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327 | (24) |
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339 | (1) |
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Activity 6.2: A Crisis for European Sports Fans? |
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340 | (1) |
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Activity 6.3: The ``Hot Hand'' in Basketball |
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340 | (4) |
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Graphing Calculator Explorations |
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344 | (7) |
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Random Variables and Probability Distributions |
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351 | (90) |
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352 | (3) |
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Probability Distributions for Discrete Random Variables |
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355 | (6) |
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Probability Distributions for Continuous Random Variables |
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361 | (5) |
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Mean and Standard Deviation of a Random Variable |
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366 | (14) |
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The Binomial and Geometric Distributions |
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380 | (12) |
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392 | (17) |
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Checking for Normality and Normalizing Transformations |
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409 | (11) |
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Using the Normal Distribution to Approximate a Discrete Distribution |
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420 | (21) |
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Activity 7.1: Rotten Eggs? |
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424 | (5) |
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Graphing Calculator Explorations |
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429 | (12) |
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Sampling Variability and Sampling Distributions |
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441 | (34) |
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Statistics and Sampling Variability |
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442 | (9) |
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The Sampling Distribution of a Sample Mean |
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451 | (10) |
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The Sampling Distribution of a Sample Proportion |
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461 | (14) |
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Activity 8.1: Do Students Who Take the SATs Multiple Times Have an Advantage in College Admissions? |
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467 | (3) |
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Graphing Calculator Explorations |
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470 | (5) |
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Estimation Using a Single Sample |
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475 | (46) |
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475 | (7) |
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Large-Sample Confidence Interval for a Population Proportion |
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482 | (13) |
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Confidence Interval for a Population Mean |
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495 | (13) |
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Communicating and Interpreting the Results of Statistical Analyses |
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508 | (13) |
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Activity 9.1: Getting a Feel for Confidence Level |
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513 | (1) |
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Activity 9.2: An Alternative Confidence Interval for a Population Proportion |
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514 | (4) |
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Graphing Calculator Explorations |
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518 | (3) |
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Hypothesis Testing Using a Single Sample |
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521 | (54) |
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Hypotheses and Test Procedures |
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522 | (4) |
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Errors in Hypothesis Testing |
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526 | (6) |
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Large-Sample Hypothesis Tests for a Population Proportion |
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532 | (13) |
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Hypothesis Tests for a Population Mean |
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545 | (11) |
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Power and the Probability of Type II Error |
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556 | (10) |
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Communicating and Interpreting the Results of Statistical Analyses |
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566 | (9) |
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Activity 10.1: Comparing the t and z Distributions |
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568 | (4) |
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Graphing Calculator Explorations |
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572 | (3) |
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Comparing Two Populations or Treatments |
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575 | (62) |
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Inferences Concerning the Difference Between Two Population or Treatment Means Using Independent Samples |
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575 | (20) |
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Inferences Concerning the Difference Between Two Population or Treatment Means Using Paired Samples |
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595 | (11) |
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Large-Sample Inferences Concerning a Difference Between Two Population or Treatment Proportions |
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606 | (9) |
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Distribution-Free Procedures for Inferences About a Difference Between Two Population or Treatment Means Using Independent Samples (Optional) |
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615 | (8) |
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Communicating and Interpreting the Results of Statistical Analyses |
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623 | (14) |
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Activity 11.1: Helium-Filled Footballs? |
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625 | (1) |
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Activity 11.2: Thinking About Data Collection |
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626 | (6) |
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Graphing Calculator Explorations |
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632 | (5) |
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The Analysis of Categorical Data and Goodness-of-Fit Tests |
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637 | (38) |
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Chi-Square Tests for Univariate Categorical Data |
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637 | (9) |
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Tests for Homogeneity and Independence in a Two-Way Table |
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646 | (17) |
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Communicating and Interpreting the Results of Statistical Analyses |
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663 | (12) |
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Activity 12.1: Pick a Number, Any Number . . . |
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666 | (1) |
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Activity 12.2: Color and Perceived Taste |
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666 | (4) |
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Graphing Calculator Explorations |
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670 | (5) |
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Simple Linear Regression and Correlation: Inferential Methods |
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675 | (56) |
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The Simple Linear Regression Model |
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675 | (13) |
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Inferences About the Slope of the Population Regression Line |
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688 | (10) |
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698 | (11) |
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Inferences Based on the Estimated Regression Line (Optional) |
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709 | (8) |
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Inferences About the Population Correlation Coefficient (Optional) |
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717 | (4) |
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Communicating and Interpreting the Results of Statistical Analyses |
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721 | (10) |
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Activity 13.1: Are Tall Women from ``Big'' Families? |
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722 | (7) |
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Graphing Calculator Explorations |
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729 | (2) |
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Multiple Regression Analysis |
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731 | (60) |
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Multiple Regression Models |
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732 | (12) |
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Fitting a Model and Assessing Its Utility |
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744 | (15) |
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Inferences Based on an Estimated Model |
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759 | (12) |
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Other Issues in Multiple Regression |
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771 | (12) |
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Communicating and Interpreting the Results of Statistical Analyses |
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783 | (8) |
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Activity 14.1: Exploring the Relationship Between Number of Predictors and Sample Size |
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784 | (7) |
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791 | (54) |
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Single-Factor ANOVA and the F Test |
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791 | (14) |
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805 | (7) |
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The F Test for a Randomized Block Experiment |
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812 | (9) |
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821 | (12) |
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Communicating and Interpreting the Results of Statistical Analyses |
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833 | (12) |
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Activity 15.1: Exploring Single-Factor ANOVA |
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835 | (3) |
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Appendix: ANOVA Computations |
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838 | (4) |
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Graphing Calculator Exploration |
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842 | (3) |
| Appendix: Statistical Tables |
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845 | (24) |
| Answers to Selected Odd-Numbered Exercises |
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869 | (10) |
| Index |
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879 | |