Preface |
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viii | |
About the Authors |
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xvi | |
Chapter 1 Introduction |
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1 | (53) |
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1 | (2) |
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Research Questions and the Research Process |
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3 | (1) |
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Pinning Things Down: Variables and Measurement |
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4 | (2) |
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6 | (1) |
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Measurement Error: Validity and Reliability |
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6 | (3) |
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9 | (2) |
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Causation: Independent and Dependent Variables |
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11 | (1) |
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Getting the Data: Sampling and Generalizing |
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12 | (1) |
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13 | (2) |
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Sources of Secondary Data: Existing Data Sets, Reports, and "Big Data" |
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15 | (2) |
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17 | (1) |
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Growth Mindset and Math Anxiety |
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18 | (2) |
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20 | (1) |
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21 | (2) |
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23 | (2) |
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25 | (8) |
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33 | (12) |
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45 | (7) |
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52 | (2) |
Chapter 2 Getting to Know Your Data |
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54 | (67) |
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55 | (2) |
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Percentages and Proportions |
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57 | (3) |
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Cumulative Percentage and Percentile |
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60 | (2) |
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62 | (1) |
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63 | (2) |
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63 | (2) |
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65 | (1) |
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Working with Frequency Distribution Tables |
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65 | (4) |
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65 | (2) |
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Simplifying Tables by Collapsing Categories |
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67 | (2) |
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Graphical Displays of a Single Variable: Bar Graphs, Pie Charts, Histograms, Stem-and-Leaf Plots, and Frequency Polygons |
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69 | (7) |
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Bar Graphs and Pie Charts |
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69 | (3) |
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72 | (1) |
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73 | (2) |
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75 | (1) |
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76 | (1) |
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Comparing Two Groups on the Same Variable Using Tables, Graphs, and Charts |
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77 | (7) |
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84 | (1) |
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85 | (10) |
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95 | (14) |
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109 | (11) |
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120 | (1) |
Chapter 3 Examining Relationships between Two Variables |
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121 | (40) |
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Cross-Tabulations and Relationships between Variables |
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122 | (12) |
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Independent and Dependent Variables |
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123 | (4) |
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Column, Row, and Total Percentages |
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127 | (7) |
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Interpreting the Strength of Relationships |
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134 | (2) |
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Interpreting the Direction of Relationships |
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136 | (4) |
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Graphical Representations of Bivariate Relationships |
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140 | (2) |
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142 | (1) |
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143 | (4) |
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147 | (5) |
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152 | (8) |
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160 | (1) |
Chapter 4 Typical Values in a Group |
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161 | (42) |
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What Does It Mean to Describe What Is Typical? |
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162 | (1) |
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163 | (4) |
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167 | (4) |
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171 | (2) |
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Finding the Mode, Median, and Mean in Frequency Distributions |
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173 | (2) |
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Choosing the Appropriate Measure of Central Tendency |
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175 | (4) |
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Median Versus Mean Income |
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179 | (2) |
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181 | (1) |
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182 | (5) |
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187 | (6) |
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193 | (9) |
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202 | (1) |
Chapter 5 The Diversity of Values in a Group |
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203 | (38) |
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205 | (1) |
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205 | (5) |
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210 | (2) |
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Using the Standard Deviation to Compare Distributions |
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212 | (2) |
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Comparing Apples and Oranges |
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214 | (4) |
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Skewed Versus Symmetric Distributions |
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218 | (2) |
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220 | (1) |
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221 | (4) |
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225 | (6) |
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231 | (9) |
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240 | (1) |
Chapter 6 Probability and the Normal Distribution |
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241 | (39) |
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242 | (11) |
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245 | (1) |
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246 | (2) |
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The Multiplication Rule with Independence |
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248 | (1) |
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The Multiplication Rule without Independence |
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249 | (2) |
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Applying the Multiplication Rule with Independence to the "Linda" and "Birth-Order" Probability Problems |
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251 | (2) |
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Probability Distributions |
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253 | (5) |
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254 | (4) |
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Standardizing Variables and Calculating z-Scores |
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258 | (8) |
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266 | (1) |
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267 | (3) |
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270 | (2) |
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272 | (7) |
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279 | (1) |
Chapter 7 From Sample to Population |
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280 | (34) |
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Repeated Sampling, Sample Statistics, and the Population Parameter |
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281 | (3) |
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284 | (3) |
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Finding the Probability of Obtaining a Specific Sample Statistic |
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287 | (6) |
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Estimating the Standard Error from a Known Population Standard Deviation |
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288 | (1) |
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Finding and Interpreting the z-Score for Sample Means |
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289 | (3) |
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Finding and Interpreting the z-Score for Sample Proportions |
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292 | (1) |
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The Impact of Sample Size on the Standard Error |
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293 | (2) |
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295 | (1) |
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295 | (5) |
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300 | (6) |
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306 | (7) |
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313 | (1) |
Chapter 8 Estimating Population Parameters |
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314 | (42) |
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Inferential Statistics and the Estimation of Population Parameters |
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315 | (2) |
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Confidence Intervals Manage Uncertainty through Margins of Error |
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317 | (1) |
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Certainty and Precision of Confidence Intervals |
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317 | (1) |
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Confidence Intervals for Proportions |
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318 | (8) |
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Constructing a Confidence Interval for Proportions: Examples |
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322 | (4) |
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Confidence Intervals for Means |
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326 | (7) |
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326 | (3) |
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Calculating Confidence Intervals for Means: Examples |
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329 | (4) |
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The Relationship between Sample Size and Confidence Interval Range |
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333 | (2) |
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The Relationship between Confidence Level and Confidence Interval Range |
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335 | (2) |
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Interpreting Confidence Intervals |
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337 | (1) |
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338 | (3) |
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Assumptions for Confidence Intervals |
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341 | (1) |
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342 | (2) |
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344 | (2) |
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346 | (3) |
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349 | (5) |
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354 | (2) |
Chapter 9 Differences between Samples and Populations |
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356 | (43) |
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The Logic of Hypothesis Testing |
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357 | (2) |
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Null Hypotheses (H0) and Alternative Hypotheses (Ha) |
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358 | (1) |
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One-Tailed and Two-Tailed Tests |
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359 | (1) |
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Hypothesis Tests for Proportions |
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359 | (6) |
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The Steps of the Hypothesis Test |
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364 | (1) |
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One-Tailed and Two-Tailed Tests |
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365 | (2) |
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Hypothesis Tests for Means |
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367 | (8) |
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Example: Testing a Claim about a Population Mean |
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373 | (2) |
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Error and Limitations: How Do We Know We Are Correct? |
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375 | (4) |
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Type I and Type II Errors |
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376 | (3) |
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What Does Statistical Significance Really Tell Us? Statistical and Practical Significance |
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379 | (2) |
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381 | (1) |
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382 | (4) |
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386 | (6) |
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392 | (6) |
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398 | (1) |
Chapter 10 Comparing Groups |
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399 | (36) |
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Two-Sample Hypothesis Tests |
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401 | (3) |
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The Logic of the Null and Alternative Hypotheses in Two-Sample Tests |
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401 | (1) |
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Notation for Two-Sample Tests |
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402 | (1) |
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The Sampling Distribution for Two-Sample Tests |
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403 | (1) |
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Hypothesis Tests for Differences between Means |
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404 | (7) |
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Confidence Intervals for Differences between Means |
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411 | (1) |
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Hypothesis Tests for Differences between Proportions |
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412 | (4) |
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Confidence Intervals for Differences between Proportions |
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416 | (2) |
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Statistical and Practical Significance in Two-Sample Tests |
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418 | (1) |
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419 | (1) |
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420 | (4) |
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424 | (5) |
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429 | (5) |
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434 | (1) |
Chapter 11 Testing Mean Differences among Multiple Groups |
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435 | (28) |
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Comparing Variation within and between Groups |
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436 | (2) |
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Hypothesis Testing Using ANOVA |
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438 | (1) |
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Analysis of Variance Assumptions |
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439 | (1) |
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The Steps of an ANOVA Test |
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440 | (6) |
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Determining Which Means Are Different: Post-Hoc Tests |
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446 | (1) |
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ANOVA Compared to Repeated t-Tests |
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447 | (1) |
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448 | (1) |
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448 | (2) |
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450 | (3) |
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453 | (8) |
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461 | (2) |
Chapter 12 Testing the Statistical Significance of Relationships in Cross-Tabulations |
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463 | (38) |
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The Logic of Hypothesis Testing with Chi-Square |
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466 | (3) |
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The Steps of a Chi-Square Test |
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469 | (6) |
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Size and Direction of Effects: Analysis of Residuals |
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475 | (2) |
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Example: Gender and Perceptions of Health |
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477 | (4) |
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Assumptions of Chi-Square |
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481 | (1) |
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Statistical Significance and Sample Size |
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481 | (5) |
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486 | (1) |
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487 | (2) |
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489 | (3) |
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492 | (8) |
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500 | (1) |
Chapter 13 Ruling Out Competing Explanations for Relationships between Variables |
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501 | (41) |
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Criteria for Causal Relationships |
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506 | (2) |
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Modeling Spurious Relationships |
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508 | (5) |
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Modeling Non-Spurious Relationships |
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513 | (7) |
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520 | (1) |
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521 | (5) |
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526 | (6) |
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532 | (9) |
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541 | (1) |
Chapter 14 Describing Linear Relationships between Variables |
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542 | (57) |
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544 | (2) |
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Calculating Correlation Coefficients |
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545 | (1) |
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Scatterplots: Visualizing Correlations |
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546 | (4) |
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Regression: Fitting a Line to a Scatterplot |
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550 | (2) |
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552 | (1) |
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553 | (4) |
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Calculating the Slope and Intercept |
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556 | (1) |
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557 | (2) |
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557 | (1) |
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Standard Error of the Estimate |
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558 | (1) |
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Dichotomous ("Dummy") Independent Variables |
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559 | (4) |
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563 | (2) |
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Statistical Inference for Regression |
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565 | (6) |
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566 | (2) |
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Standard Error of the Slope |
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568 | (3) |
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Assumptions of Regression |
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571 | (2) |
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573 | (2) |
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575 | (6) |
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581 | (7) |
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588 | (10) |
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598 | (1) |
Solutions To Odd-Numbered Practice Problems |
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599 | (50) |
Glossary |
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649 | (7) |
Appendix A Normal Table |
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656 | (2) |
Appendix B Table Of T-Values |
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658 | (2) |
Appendix C F-Table, For Alpha = .05 |
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660 | (2) |
Appendix D Chi-Square Table |
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662 | (2) |
Appendix E Selected List Of Formulas |
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664 | (2) |
Appendix F Choosing Tests For Bivariate Relationships |
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666 | (1) |
Index |
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667 | |