| Preface to the Instructor |
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xi | |
| Introduction to the Student |
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xix | |
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Displaying the Order in a Group Of Numbers |
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1 | (34) |
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The Two Branches of Statistical Methods |
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2 | (1) |
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2 | (4) |
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Box 1-1: Important Trivia for Poetic Statistics Students |
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5 | (1) |
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6 | (6) |
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Box 1-2: Math Anxiety, Statistics Anxiety, and Yon: A Message, for-Those of you Who Are Truly Worried about this Course |
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10 | (2) |
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12 | (6) |
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Shapes of Frequency Distributions |
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18 | (4) |
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Controversy: Misleading Graphs |
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22 | (4) |
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Box 1-3: Gender, Ethnicity, and Math Performance |
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24 | (2) |
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Frequency Tables, Histograms, and Frequency Polygons in Research Articles |
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26 | (1) |
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27 | (1) |
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28 | (1) |
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Example Worked-Out Computational Problems |
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28 | (1) |
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29 | (6) |
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The Mean, Variance, Standard Deviation, and Z Scores |
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35 | (34) |
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35 | (4) |
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Other Measures of Central Tendency |
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39 | (4) |
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The Variance and the Standard Deviation |
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43 | (8) |
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51 | (7) |
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Box 2-1: The Sheer Joy (Yes, Joy) of Statistical Analysis |
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52 | (6) |
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Controversy: The Tyranny of the Mean |
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58 | (3) |
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The Mean and Standard Deviation in Research Articles |
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61 | (1) |
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62 | (1) |
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63 | (1) |
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Example Worked-Out Computational Problems |
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63 | (2) |
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65 | (4) |
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69 | (44) |
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Graphing Correlations: The Scatter Diagram |
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70 | (5) |
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75 | (5) |
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The Degree of Linear Correlation: The Correlation Coefficient |
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80 | (8) |
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Box 3-1: Galton: Gentleman Genius |
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82 | (6) |
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Correlation and Causality |
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88 | (4) |
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Box 3-2: Illusory Correlation: When You Know Perfectly Well that If It's Big, It's Fat-and you are Perfectly Wrong |
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91 | (1) |
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Issues in Interpreting the Correlation Coefficient |
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92 | (3) |
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Controversy: What Is a Large Correlation? |
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95 | (1) |
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Correlation in Research Articles |
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96 | (2) |
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98 | (1) |
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99 | (1) |
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Example Worked-Out Computational Problems |
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99 | (2) |
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101 | (8) |
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Chapter Appendix: Hypothesis Tests and Power for the Correlation Coefficient |
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109 | (4) |
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113 | (44) |
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Predictor and Criterion Variables |
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114 | (1) |
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Prediction Using Z Scores |
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114 | (3) |
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Raw-Score Prediction Using the Z-Score Prediction Model |
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117 | (2) |
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Raw-Score Prediction Using the Direct Raw-Score Prediction Model |
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119 | (6) |
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125 | (3) |
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Error and Proportionate Reduction in Error |
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128 | (8) |
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136 | (2) |
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Limitations of Regression |
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138 | (1) |
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Controversy: Comparing Predictors |
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139 | (1) |
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Box 4-1: Clinical Versus Statistical Prediction |
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139 | (1) |
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Prediction in Research Articles |
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140 | (3) |
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143 | (1) |
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144 | (1) |
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Example Worked-Out Computational Problems |
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144 | (3) |
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147 | (10) |
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Some Key Ingredients for Inferential Statistics: The Normal Curve, Probability, and Population Versus Sample |
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157 | (32) |
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158 | (11) |
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Box 5-1: De Moivre, the Eccentric Stranger Who Invented the Normal Curve |
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159 | (10) |
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169 | (4) |
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Box 5-2: Pascal Begins Probability Theory at the Gambling Table, then Learns to Bet on God |
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170 | (3) |
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173 | (4) |
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Box 5-3: Surveys, Polls, and 1948's Costly ``Free Sample'' |
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176 | (1) |
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Controversies: Is the Normal Curve Really Normal?, What Does Probability Really Mean?, and Using Nonrandom Samples |
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177 | (3) |
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Normal Curves, Probabilities, Samples, and Populations in Research Articles |
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180 | (1) |
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181 | (1) |
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182 | (1) |
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Example Worked-Out Computational Problems |
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182 | (2) |
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184 | (3) |
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Chapter Appendix: Probability Rules and Conditional Probabilities |
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187 | (2) |
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Introduction to Hypothesis Testing |
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189 | (28) |
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A Hypothesis-Testing Example |
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190 | (1) |
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The Core Logic of Hypothesis Testing |
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191 | (1) |
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The Hypothesis-Testing Process |
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191 | (8) |
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One-Tailed and Two-Tailed Hypothesis Tests |
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199 | (5) |
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Controversy: Should Significance Tests Be Banned? |
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204 | (3) |
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Box 6-1: To Be or Not to Be-But Can Not Being Be? The Problem of Whether and When to Accept the Null Hypothesis |
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206 | (1) |
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Hypothesis Tests in Research Articles |
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207 | (1) |
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208 | (1) |
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209 | (1) |
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Example Worked-Out Computational Problems |
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209 | (1) |
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210 | (7) |
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Hypothesis Tests With Means of Samples |
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217 | (36) |
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The Distribution of Means |
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217 | (9) |
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Hypothesis Testing with a Distribution of Means |
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226 | (7) |
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Box 7-1: More about Polls: Sampling Errors and Errors in Thinking about Samples |
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227 | (6) |
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Estimation, Standard Errors, and Confidence Intervals |
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233 | (5) |
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Controversy: Confidence Intervals or Significance Tests? |
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238 | (2) |
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Hypothesis Tests about Means of Samples, Standard Errors, and Confidence Intervals in Research Articles |
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240 | (2) |
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242 | (1) |
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243 | (1) |
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Example Worked-Out Computational Problems |
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244 | (1) |
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245 | (8) |
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Making Sense of Statistical Significance: Effect Size, Decision Error, and Statistical Power |
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253 | (46) |
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254 | (7) |
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Box 8-1: Effect Sizes for Relaxation and Meditation: A Restful Meta-Analysis |
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259 | (2) |
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261 | (3) |
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264 | (7) |
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What Determines the Power of a Study? |
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271 | (12) |
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Box 8-2: The Power of Typical Psychology Experiments |
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279 | (4) |
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The Role of Power When Planning a Study |
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283 | (1) |
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The Importance of Power When Evaluating the Results of a Study |
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284 | (3) |
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Controversy: Statistical Significance Controversy Continued-Effect Size Versus Statistical Significance |
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287 | (2) |
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Effect Size, Decision Errors, and Power in Research Articles |
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289 | (2) |
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291 | (1) |
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292 | (1) |
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Example Worked-Out Computational Problems |
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292 | (1) |
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293 | (6) |
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Introduction to the t Test |
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299 | (42) |
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The t Test For a Single Sample |
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300 | (12) |
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Box 9-1: William S. Gosset, Alias ``Student'': Not a Mathematician, but a Practical Man |
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301 | (11) |
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The t Test for Dependent Means |
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312 | (10) |
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322 | (1) |
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Effect Size and Power for the t Test for Dependent Means |
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323 | (3) |
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Controversy: Advantages and Disadvantages of Repeated-Measures Designs |
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326 | (1) |
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Box 9-2: The Power of Studies Using Difference Scores: How the Lanarkshire Milk Experiment Could Have Been Milked for More |
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327 | (1) |
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t Tests in Research Articles |
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327 | (2) |
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329 | (1) |
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329 | (1) |
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Example Worked-Out Computational Problems |
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329 | (2) |
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331 | (10) |
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The t Test For Independent Means |
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341 | (36) |
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The Distribution of Differences between Means |
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342 | (7) |
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Hypothesis Testing With a t Test for Independent Means |
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349 | (7) |
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Assumptions of the t Test for Independent Means |
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356 | (3) |
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Box 10-1: Monte Carlo Methods: When Mathematics Becomes Just an Experiment and Statistics Depend on a Game of Chance |
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357 | (2) |
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Effect Size and Power for the t Test for Independent Means |
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359 | (3) |
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Controversy: The Problem of Too Many t Tests |
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362 | (2) |
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The t Test for Independent Means in Research Articles |
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364 | (2) |
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366 | (1) |
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366 | (1) |
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Example Worked-Out Computational Problems |
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366 | (3) |
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369 | (8) |
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Introduction to the Analysis Of Variance |
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377 | (40) |
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Basic Logic of the Analysis of Variance |
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378 | (8) |
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Box 11-1: Sir Ronald Fisher, Caustic Genius of Statistics |
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384 | (2) |
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Carrying Out an Analysis of Variance |
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386 | (8) |
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Hypothesis Testing with the Analysis of Variance |
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394 | (4) |
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Assumptions in the Analysis of Variance |
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398 | (2) |
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400 | (4) |
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Controversy: Omnibus Tests versus Planned Comparisons |
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404 | (1) |
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Analyses of Variance in Research Articles |
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405 | (1) |
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406 | (1) |
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407 | (1) |
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Example Worked-Out Computational Problems |
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407 | (2) |
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409 | (8) |
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The Structural Model in the Analysis Of Variance |
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417 | (34) |
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Principles of the Structural Model |
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418 | (5) |
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Box 12-1: Analysis of Variance as a Way of Thinking About the World |
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421 | (2) |
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Using the Structural Model to Figure an Analysis of Variance |
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423 | (5) |
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Assumptions in the Analysis of Variance with Unequal Sample Sizes |
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428 | (3) |
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431 | (2) |
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Effect Size and Power for the Analysis of Variance |
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433 | (4) |
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Controversy: The Independence Assumption and the Unit of Analysis Question |
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437 | (2) |
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Structural Model Analysis of Variance and Post-Hoc Comparisons in Research Articles |
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439 | (1) |
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439 | (2) |
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441 | (1) |
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Example Worked-Out Computational Problems |
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441 | (3) |
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444 | (7) |
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Factorial Analysis of Variance |
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451 | (56) |
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Basic Logic of Factorial Designs and Interaction Effects |
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452 | (4) |
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Recognizing and Interpreting Interaction Effects |
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456 | (7) |
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Basic Logic of the Two-Way Analysis of Variance |
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463 | (4) |
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Box 13-1: Personality and Situational Influences on Behavior: An Interaction Effect |
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466 | (1) |
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Figuring a Two-Way Analysis of Variance |
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467 | (13) |
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Power and Effect Size in the Factorial Analysis of Variance |
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480 | (3) |
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Extensions and Special Cases of the Factorial Analysis of Variance |
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483 | (2) |
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Controversy: Unequal Cell Sizes and Dichotomizing Numeric Variables |
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485 | (2) |
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Factorial Analysis of Variance Results in Research Articles |
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487 | (2) |
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489 | (1) |
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490 | (1) |
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Example Worked-Out Computational Problems |
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490 | (3) |
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493 | (14) |
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507 | (36) |
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The Chi-Square Statistic and the Chi-Square Test for Goodness of Fit |
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509 | (8) |
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Box 14-1: Karl Pearson, Inventor of Chi-Square and Center of Controversy |
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510 | (7) |
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The Chi-Square Test for Independence |
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517 | (9) |
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Assumptions for Chi-Square Tests |
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526 | (1) |
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Effect Size and Power for Chi-Square Tests for Independence |
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526 | (4) |
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Controversy: The Minimum Expected Frequency |
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530 | (1) |
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Chi-Square Tests in Research Articles |
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531 | (1) |
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532 | (1) |
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532 | (1) |
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Example Worked-Out Computational Problems |
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533 | (3) |
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536 | (7) |
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Strategies When Population Distributions Are Not Normal: Data Transformations and Rank-Order Tests |
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543 | (26) |
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Assumptions in the Standard Hypothesis-Testing Procedures |
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544 | (1) |
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545 | (5) |
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550 | (5) |
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555 | (1) |
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Controversy: Computer Intensive Methods |
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556 | (3) |
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Data Transformations and Rank-Order Tests in Research Articles |
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559 | (2) |
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Box 15-1: Where Do Random Numbers Come Front? |
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560 | (1) |
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561 | (1) |
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561 | (1) |
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Example Worked-Out Computational Problems |
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562 | (1) |
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562 | (7) |
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Integrating What You Have Learned: The General Linear Model |
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569 | (30) |
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The Relationships Between Major Statistical Methods |
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569 | (1) |
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Review of the Principles of Multiple Regression |
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570 | (1) |
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571 | (2) |
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The General Linear Model and Multiple Regression |
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573 | (1) |
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Bivariate Regression and Correlation as Special Cases of Multiple Regression |
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573 | (1) |
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The t Test as a Special Case of the Analysis of Variance |
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574 | (4) |
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Box 76-1: The Golden Age of Statistics: Four Guys around London |
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575 | (3) |
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The t Test as a Special Case of the Significance Test for the Correlation Coefficient |
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578 | (5) |
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The Analysis of Variance as a Special Case of the Significance Test of the Multiple Regression |
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583 | (5) |
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Choice of Statistical Tests |
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588 | (3) |
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Box 16-2: Two Women Make a Point about Gender and Statistics |
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589 | (2) |
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Controversy: Whay is Causality? |
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591 | (1) |
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592 | (1) |
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593 | (1) |
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594 | (5) |
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Making Sense of Advanced Statistical Procedures in Research Articles |
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599 | (40) |
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Brief Review of Multiple Regression |
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600 | (1) |
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Hierarchial and Stepwise Multiple Regression |
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600 | (5) |
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605 | (1) |
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606 | (2) |
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608 | (2) |
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610 | (5) |
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Procedures that Compare Groups and Independent and Dependent Variables |
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615 | (1) |
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Analysis of Covariance (ANCOVA) |
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616 | (1) |
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Multivariate Analysis of Variance (MANOVA) and Multivariate Analysis of Covariance (MANCOVA) |
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617 | (1) |
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Overview of Statistical Techniques |
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618 | (1) |
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Controversy: Should Statistics Be Controversial? |
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619 | (3) |
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Box 17-1: The Forced Partnership of Fisher and Pearson |
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620 | (2) |
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How to Read Results Using Unfamiliar Statistical Techniques |
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622 | (1) |
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623 | (1) |
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624 | (1) |
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624 | (15) |
| Appendix A Tables |
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639 | (8) |
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Table A-1 Normal Curve Areas: Percentage of the Normal Curve between the Mean and the Z Scores Shown |
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639 | (3) |
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Table A-2 Cutoff Scores for the t Distribution |
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642 | (1) |
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Table A-3 Cutoff Scores for the F Distribution |
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643 | (3) |
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Table A-4 Cutoff Scores for the Chi-Square Distribution |
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646 | (1) |
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Table A-5 Index to Power Tables and Tables Giving Number of Participants Needed for 80% Power |
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646 | (1) |
| Answers To Set I Practice Problems |
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647 | (30) |
| Glossary |
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677 | (8) |
| Glossary of Symbols |
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685 | (2) |
| References |
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687 | (10) |
| Index |
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697 | |