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xiii | |
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xix | |
About the Authors |
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xxi | |
Acknowledgements |
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xxiii | |
Online Resources |
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xxv | |
How to Use This Book |
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xxvii | |
Starting with Four Big Pictures |
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xxxi | |
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1 Why Do We Need Statistics? |
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1 | (12) |
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3 | (1) |
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4 | (2) |
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6 | (1) |
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6 | (7) |
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13 | (18) |
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14 | (1) |
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Phase 1 Ideas, Hypotheses and Design |
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15 | (7) |
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Phase 2 Evidence, Analysis and Inference |
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22 | (2) |
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Phase 3 Results, Presenting and Persuading |
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24 | (1) |
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Being a Responsible Researcher |
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25 | (6) |
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31 | (28) |
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32 | (4) |
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Variability and Variables |
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36 | (3) |
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39 | (2) |
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Types of Measurement Value |
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41 | (4) |
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45 | (1) |
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46 | (4) |
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50 | (2) |
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52 | (1) |
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Being a Responsible Researcher |
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53 | (6) |
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4 Relationships between Variables |
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59 | (30) |
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What is a Relationship between Variables? |
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61 | (1) |
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The Logic of Relationships |
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62 | (3) |
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65 | (9) |
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The Strength of a Relationship: Effect Sizes |
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74 | (9) |
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Being a Responsible Researcher |
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83 | (6) |
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89 | (82) |
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97 | (26) |
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Why is Uncertainty Important? |
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98 | (1) |
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99 | (1) |
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Variability: Possible Samples from One Population |
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100 | (9) |
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Uncertainty: Possible Populations with One Sample |
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109 | (8) |
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117 | (1) |
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Being a Responsible Researcher |
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118 | (5) |
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6 Null Hypothesis Testing |
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123 | (22) |
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The Logic of Null Hypothesis Testing |
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124 | (7) |
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Likelihood Functions and Null Hypothesis Testing |
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131 | (1) |
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The Consequences of Null Hypothesis Testing |
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132 | (3) |
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A Conversation about Testing for Null Effects |
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135 | (3) |
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138 | (2) |
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Being a Responsible Researcher |
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140 | (5) |
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7 Statistical Tests for One Independent Variable |
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145 | (26) |
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The Logic of a Statistical Test |
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146 | (3) |
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The Specific Statistical Tests |
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149 | (12) |
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Tails - One, Two or Many? |
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161 | (4) |
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165 | (6) |
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INTERMEZZO 2 ALTERNATIVES TO NHST: BAYES AND LIKELIHOOD |
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171 | (76) |
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8 Minimising Uncertainty: Research Design |
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187 | (20) |
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A Brief Recap of Uncertainty |
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188 | (1) |
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Planning Ahead: Predictions |
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189 | (6) |
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Using Expected Outcomes to Check a Design |
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195 | (5) |
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200 | (1) |
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201 | (1) |
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A General Framework for Design Decisions |
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202 | (1) |
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Being a Responsible Researcher |
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202 | (5) |
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9 Measurements and Uncertainty |
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207 | (16) |
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Decision 1 Measurement Type |
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208 | (1) |
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Decision 2 Measurement Values |
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209 | (4) |
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213 | (4) |
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217 | (1) |
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Being a Responsible Researcher |
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217 | (6) |
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10 Sampling and Uncertainty |
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223 | (24) |
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Decision 1 Recruiting Participants |
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224 | (4) |
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Decision 2 How to Use Participants |
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228 | (2) |
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Decision 3 How Many Participants? |
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230 | (3) |
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Pitfalls in Sampling Design |
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233 | (7) |
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240 | (1) |
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Practical Matters - or How (Not) to Cheat |
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241 | (2) |
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Being a Responsible Researcher |
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243 | (4) |
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INTERMEZZO 3 UNCERTAIN POWER ANALYSIS |
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247 | (88) |
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11 Hypotheses with More than One Independent Variable |
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257 | (22) |
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259 | (2) |
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Idea 1 Main Effects - Separate Relationships for Each IV |
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261 | (7) |
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Idea 2 Interactions - One IV Switches the Effect of Another |
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268 | (6) |
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274 | (1) |
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Being a Responsible Researcher |
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275 | (4) |
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12 Covariations: Relationships between Two Independent Variables |
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279 | (18) |
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Step 1 Total Effect Sizes |
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281 | (2) |
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Step 2 Unique Effect Sizes |
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283 | (1) |
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The Two Meanings of Covariation |
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284 | (3) |
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Another Example of Covariation |
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287 | (4) |
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291 | (1) |
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Being a Responsible Researcher |
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292 | (5) |
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13 Analysing Data with Two or More Independent Variables |
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297 | (20) |
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Different Ways to Describe Effect Sizes |
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298 | (1) |
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298 | (7) |
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305 | (4) |
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309 | (1) |
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The Historical Statistical Tests |
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310 | (1) |
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311 | (1) |
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Being a Responsible Researcher |
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312 | (5) |
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317 | (18) |
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318 | (3) |
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A New Concept: Statistics for Building and Comparing Models |
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321 | (1) |
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Thinking about Causation in Models |
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322 | (1) |
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323 | (1) |
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324 | (2) |
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326 | (2) |
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328 | (1) |
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A Summary: Bigger and Bigger Pictures |
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328 | (1) |
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Being a Responsible Researcher |
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329 | (6) |
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INTERMEZZO 4 COMBINING MULTIPLE STUDIES: REPLICATION AND META ANALYSIS |
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335 | (16) |
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15 Contributing to Knowledge |
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345 | (6) |
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347 | (1) |
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348 | (1) |
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Principles for Responsible Research |
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349 | (1) |
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350 | (1) |
References |
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351 | (2) |
Index |
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353 | |