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Introductory Statistics for the Behavioral Sciences |
3 |
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Contents |
9 |
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Preface |
17 |
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Acknowledgments |
21 |
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Glossary of Symbols |
23 |
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Part I: Descriptive Statistics |
29 |
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Chapter 1 Introduction |
31 |
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Why Study Statistics? |
32 |
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Descriptive and Inferential Statistics |
33 |
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Populations, Samples, Parameters, and Statistics |
34 |
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Measurement Scales |
35 |
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Independent and Dependent Variables |
38 |
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Summation Notation |
40 |
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Ihno’s Study |
44 |
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Summary |
46 |
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Exercises |
47 |
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Thought Questions |
51 |
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Computer Exercises |
51 |
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Bridge to SPSS |
52 |
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Chapter 2 Frequency Distributions and Graphs |
54 |
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The Purpose of Descriptive Statistics |
55 |
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Regular Frequency Distributions |
56 |
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Cumulative Frequency Distributions |
58 |
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Grouped Frequency Distributions |
59 |
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Real and Apparent Limits |
61 |
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Interpreting a Raw Score |
62 |
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Definition of Percentile Rank and Percentile |
62 |
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Computational Procedures |
63 |
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Deciles, Quartiles, and the Median |
66 |
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Graphic Representations |
67 |
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Shapes of Frequency Distributions |
71 |
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Summary |
73 |
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Exercises |
75 |
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Thought Questions |
77 |
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Computer Exercises |
77 |
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Bridge to SPSS |
78 |
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Chapter 3 Measures of Central Tendency and Variability |
81 |
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Introduction |
82 |
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The Mode |
84 |
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The Median |
84 |
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The Mean |
86 |
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The Concept of Variability |
90 |
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The Range |
93 |
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The Standard Deviation and Variance |
94 |
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Summary |
101 |
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Exercises |
103 |
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Thought Questions |
104 |
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Computer Exercises |
105 |
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Bridge to SPSS |
106 |
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Chapter 4 Standardized Scores and the Normal Distribution |
109 |
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Interpreting a Raw Score Revisited |
110 |
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Rules for Changing ? and ? |
112 |
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Standard Scores (z Scores) |
113 |
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T Scores, SAT Scores, and IQ Scores |
116 |
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The Normal Distribution |
118 |
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Table of the Standard Normal Distribution |
121 |
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Illustrative Examples |
123 |
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Summary |
129 |
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Exercises |
131 |
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Thought Questions |
133 |
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Computer Exercises |
134 |
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Bridge to SPSS |
134 |
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Part II: Basic Inferential Statistics |
137 |
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Chapter 5 Introduction to Statistical Inference |
139 |
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Introduction |
141 |
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The Goals of Inferential Statistics |
142 |
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Sampling Distributions |
142 |
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The Standard Error of the Mean |
147 |
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The z Score for Sample Means |
150 |
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Null Hypothesis Testing |
152 |
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Assumptions Required by the Statistical Test for the Mean of a Single Population |
160 |
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Summary |
161 |
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Exercises |
163 |
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Thought Questions |
165 |
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Computer Exercises |
166 |
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Bridge to SPSS |
166 |
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Appendix: The Null Hypothesis Testing Controversy |
167 |
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Chapter 6 The One-Sample t Test and Interval Estimation |
170 |
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Introduction |
171 |
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The Statistical Test for the Mean of a Single Population When ? Is Not Known: The t Distributions |
172 |
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Interval Estimation |
176 |
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The Standard Error of a Proportion |
180 |
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Summary |
183 |
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Exercises |
184 |
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Thought Questions |
185 |
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Computer Exercises |
186 |
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Bridge to SPSS |
186 |
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Chapter 7 Testing Hypotheses About the Difference Between the Means of Two Populations |
188 |
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The Standard Error of the Difference |
190 |
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Estimating the Standard Error of the Difference |
194 |
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The t Test for Two Sample Means |
195 |
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Confidence Intervals for ?1 ? ?2 |
200 |
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The Assumptions Underlying the Proper Use of the t Test for Two Sample Means |
203 |
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Measuring the Size of an Effect |
204 |
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The t Test for Matched Samples |
206 |
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Summary |
213 |
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Exercises |
215 |
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Thought Questions |
218 |
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Computer Exercises |
219 |
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Bridge to SPSS |
219 |
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Chapter 8 Nonparametric Tests for the Difference Between Two Means |
222 |
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Introduction |
223 |
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The Difference Between the Locations of Two Independent Samples: The Rank-Sum Test |
227 |
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The Difference Between the Locations of Two Matched Samples: The Wilcoxon Test |
233 |
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Summary |
238 |
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Exercises |
240 |
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Thought Questions |
243 |
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Computer Exercises |
244 |
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Bridge to SPSS |
244 |
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Chapter 9 Linear Correlation |
246 |
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Introduction |
247 |
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Describing the Linear Relationship Between Two Variables |
250 |
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Interpreting the Magnitude of a Pearson r |
257 |
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When Is It Important That Pearson’s r Be Large? |
262 |
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Testing the Significance of the Correlation Coefficient |
264 |
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The Relationship Between Two Ranked Variables: The Spearman Rank-Order Correlation Coefficient |
267 |
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Summary |
270 |
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Exercises |
272 |
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Thought Questions |
275 |
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Computer Exercises |
276 |
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Bridge to SPSS |
276 |
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Appendix: Equivalence of the Various Formulas for r |
279 |
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Chapter 10 Prediction and Linear Regression |
281 |
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Introduction |
282 |
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Using Linear Regression to Make Predictions |
282 |
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Measuring Prediction Error: The Standard Error of Estimate |
291 |
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The Connection Between Correlation and the t Test |
293 |
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Estimating the Proportion of Variance Accounted for in the Population |
299 |
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Summary |
301 |
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Exercises |
303 |
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Thought Questions |
305 |
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Computer Exercises |
305 |
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Bridge to SPSS |
306 |
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Chapter 11 Introduction to Power Analysis |
309 |
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Introduction |
310 |
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Concepts of Power Analysis |
311 |
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The Significance Test of the Mean of a Single Population |
313 |
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The Significance Test of the Proportion of a Single Population |
318 |
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The Significance Test of a Pearson r |
320 |
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Testing the Difference Between Independent Means |
321 |
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Testing the Difference Between the Means of Two Matched Populations |
325 |
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Choosing a Value for d for a Power Analysis Involving Independent Means |
327 |
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Using Power Analysis Concepts to Interpret the Results of Null Hypothesis Tests |
329 |
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Summary |
332 |
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Exercises |
334 |
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Thought Questions |
336 |
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Computer Exercises |
337 |
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Bridge to SPSS |
338 |
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Part III: Analysis of Variance Methods |
341 |
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Chapter 12 One-Way Analysis of Variance |
343 |
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Introduction |
345 |
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The General Logic of ANOVA |
346 |
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Computational Procedures |
349 |
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Testing the F Ratio for Statistical Significance |
354 |
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Calculating the One-Way ANOVA From Means and Standard Deviations |
356 |
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Comparing the One-Way ANOVA With the t Test |
357 |
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A Simplified ANOVA Formula for Equal Sample Sizes |
358 |
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Effect Size for the One-Way ANOVA |
359 |
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Some Comments on the Use of ANOVA |
361 |
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A Nonparametric Alternative to the One-Way ANOVA: The Kruskal-Wallis H Test |
364 |
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Summary |
367 |
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Exercises |
371 |
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Thought Questions |
374 |
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Computer Exercises |
374 |
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Bridge to SPSS |
374 |
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Appendix: Proof That the Total Sum of Squares Is Equal to the Sum of the Between-Group and the Within-Group Sum of Squares |
376 |
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Chapter 13 Multiple Comparisons |
377 |
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Introduction |
378 |
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Fisher’s Protected t Tests and the Least Significant Difference (LSD) |
379 |
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Tukey’s Honestly Significant Difference (HSD) |
383 |
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Other Multiple Comparison Procedures |
388 |
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Planned and Complex Comparisons |
390 |
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Nonparametric Multiple Comparisons: The Protected Rank-Sum Test |
393 |
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Summary |
394 |
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Exercises |
396 |
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Thought Questions |
397 |
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Computer Exercises |
398 |
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Bridge to SPSS |
398 |
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Chapter 14 Introduction to Factorial Design: Two-Way Analysis of Variance |
400 |
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Introduction |
401 |
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Computational Procedures |
402 |
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The Meaning of Interaction |
412 |
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Following Up a Significant Interaction |
415 |
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Measuring Effect Size in a Factorial ANOVA |
418 |
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Summary |
420 |
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Exercises |
423 |
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Thought Questions |
426 |
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Computer Exercises |
427 |
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Bridge to SPSS |
427 |
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Chapter 15 Repeated-Measures ANOVA |
430 |
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Introduction |
431 |
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Calculating the One-Way RM ANOVA |
431 |
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Rationale for the RM ANOVA Error Term |
436 |
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Assumptions and Other Considerations Involving the RM ANOVA |
436 |
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The RM Versus RB Design: An Introduction to the Issues of Experimental Design |
439 |
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The Two-Way Mixed Design |
443 |
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Summary |
451 |
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Exercises |
456 |
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Thought Questions |
458 |
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Computer Exercises |
458 |
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Bridge to SPSS |
459 |
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Part IV: Nonparametric Statistics for Categorical Data |
463 |
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Chapter 16 Probability of Discrete Events and the Binomial Distribution |
465 |
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Introduction |
466 |
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Probability |
467 |
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The Binomial Distribution |
470 |
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The Sign Test for Matched Samples |
476 |
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Summary |
478 |
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Exercises |
479 |
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Thought Questions |
481 |
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Computer Exercises |
481 |
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Bridge to SPSS |
482 |
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Chapter 17 Chi-Square Tests |
485 |
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Chi Square and the Goodness of Fit: One-Variable Problems |
486 |
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Chi Square as a Test of Independence: Two-Variable Problems |
492 |
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Measures of Strength of Association in Two-Variable Tables |
498 |
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Summary |
500 |
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Exercises |
502 |
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Thought Questions |
504 |
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Computer Exercises |
505 |
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Bridge to SPSS |
506 |
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Appendix |
509 |
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Statistical Tables |
511 |
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Answers to Odd-Numbered Exercises |
527 |
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Data From Ihno’s Experiment |
539 |
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Glossary of Terms |
543 |
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References |
553 |
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Index |
555 |
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