Preface |
|
ix | |
|
Chapter 1 An Introduction to Statistics and Research Design |
|
|
1 | (28) |
|
The Two Branches of Statistics |
|
|
2 | (2) |
|
|
3 | (1) |
|
|
3 | (1) |
|
Distinguishing Between a Sample and a Population |
|
|
3 | (1) |
|
How to Transform Observations into Variables |
|
|
4 | (3) |
|
|
5 | (1) |
|
|
5 | (2) |
|
|
7 | (3) |
|
Independent, Dependent, and Confounding Variables |
|
|
7 | (1) |
|
|
8 | (2) |
|
Introduction to Hypothesis Testing |
|
|
10 | (19) |
|
Correlational Studies and the Danger of Confounding Variables |
|
|
11 | (1) |
|
Conducting Experiments to Control for Confounding Variables |
|
|
12 | (2) |
|
Between-Groups Design Versus Within-Groups Design |
|
|
14 | (1) |
|
Introduction to Data Ethics |
|
|
15 | (14) |
|
Chapter 2 Frequency Distributions |
|
|
29 | (24) |
|
|
31 | (10) |
|
|
32 | (3) |
|
|
35 | (3) |
|
|
38 | (3) |
|
|
41 | (12) |
|
|
42 | (1) |
|
|
43 | (10) |
|
Chapter 3 Visual Displays of Data |
|
|
53 | (30) |
|
|
55 | (8) |
|
|
55 | (1) |
|
|
56 | (2) |
|
|
58 | (2) |
|
|
60 | (1) |
|
|
61 | (1) |
|
|
62 | (1) |
|
|
63 | (20) |
|
Choosing the Appropriate Type of Graph |
|
|
63 | (1) |
|
|
64 | (1) |
|
Guidelines for Creating a Graph |
|
|
65 | (1) |
|
|
66 | (17) |
|
Chapter 4 Central Tendency and Variability |
|
|
83 | (28) |
|
|
84 | (10) |
|
Mean: The Arithmetic Average |
|
|
85 | (3) |
|
|
88 | (1) |
|
Mode: The Most Common Score |
|
|
89 | (1) |
|
How Outliers Affect Measures of Central Tendency |
|
|
90 | (4) |
|
|
94 | (17) |
|
|
94 | (1) |
|
|
95 | (1) |
|
|
96 | (3) |
|
|
99 | (12) |
|
Chapter 5 Sampling and Probability |
|
|
111 | (32) |
|
Samples and Their Populations |
|
|
112 | (6) |
|
|
113 | (1) |
|
|
114 | (2) |
|
Convenience Samples Can Create Generalizability Problems |
|
|
116 | (1) |
|
|
117 | (1) |
|
|
118 | (5) |
|
Coincidence and Probability |
|
|
119 | (1) |
|
Expected Relative-Frequency Probability |
|
|
120 | (2) |
|
Independence and Probability |
|
|
122 | (1) |
|
|
123 | (4) |
|
|
123 | (2) |
|
Making a Decision About a Hypothesis |
|
|
125 | (2) |
|
Type I and Type II Errors |
|
|
127 | (16) |
|
|
127 | (1) |
|
|
128 | (1) |
|
The Shocking Prevalence of Type I Errors |
|
|
128 | (15) |
|
Chapter 6 The Normal Curve, Standardization, and z Scores |
|
|
143 | (36) |
|
|
144 | (4) |
|
Standardization, z Scores, and the Normal Curve |
|
|
148 | (10) |
|
The Need for Standardization |
|
|
148 | (1) |
|
Transforming Raw Scores into z Scores |
|
|
149 | (3) |
|
Transforming z Scores into Raw Scores |
|
|
152 | (3) |
|
Using z Scores to Make Comparisons |
|
|
155 | (1) |
|
Transforming z Scores into Percentiles |
|
|
156 | (2) |
|
The Central Limit Theorem |
|
|
158 | (21) |
|
Creating a Distribution of Means |
|
|
160 | (2) |
|
Characteristics of the Distribution of Means |
|
|
162 | (3) |
|
Using the Central Limit Theorem to Make Comparisons with z Scores |
|
|
165 | (14) |
|
Chapter 7 Hypothesis Testing with z Tests |
|
|
179 | (32) |
|
|
180 | (9) |
|
Raw Scores, z Scores, and Percentages |
|
|
181 | (6) |
|
The z Table and Distributions of Means |
|
|
187 | (2) |
|
The Assumptions and Steps of Hypothesis Testing |
|
|
189 | (4) |
|
The Three Assumptions for Conducting Analyses |
|
|
189 | (2) |
|
The Six Steps of Hypothesis Testing |
|
|
191 | (2) |
|
|
193 | (18) |
|
|
193 | (6) |
|
|
199 | (12) |
|
Chapter 8 Confidence Intervals, Effect Size, and Statistical Power |
|
|
211 | (30) |
|
|
213 | (1) |
|
|
214 | (5) |
|
|
214 | (1) |
|
Calculating Confidence Intervals with z Distributions |
|
|
215 | (4) |
|
|
219 | (7) |
|
The Effect of Sample Size on Statistical Significance |
|
|
219 | (1) |
|
|
220 | (2) |
|
|
222 | (1) |
|
|
223 | (3) |
|
|
226 | (15) |
|
|
226 | (3) |
|
|
229 | (12) |
|
Chapter 9 The Single-Sample t Test and the Paired-Samples t Test |
|
|
241 | (46) |
|
|
243 | (5) |
|
Estimating Population Standard Deviation from a Sample |
|
|
243 | (2) |
|
Calculating Standard Error for the t Statistic |
|
|
245 | (1) |
|
Using Standard Error to Calculate the t Statistic |
|
|
246 | (2) |
|
|
248 | (8) |
|
The t Table and Degrees of Freedom |
|
|
248 | (2) |
|
The Six Steps of the Single-Sample t Test |
|
|
250 | (3) |
|
Calculating a Confidence Interval for a Single-Sample t Test |
|
|
253 | (2) |
|
Calculating Effect Size for a Single-Sample t Test |
|
|
255 | (1) |
|
The Paired-Samples t Test |
|
|
256 | (31) |
|
Distributions of Mean Differences |
|
|
257 | (1) |
|
The Six Steps of the Paired-Samples t Test |
|
|
258 | (4) |
|
Calculating a Confidence Interval for a Paired-Samples t Test |
|
|
262 | (3) |
|
Calculating Effect Size for a Paired-Samples t Test |
|
|
265 | (1) |
|
Replication and Reproducibility |
|
|
265 | (22) |
|
Chapter 10 The Independent-Samples t Test |
|
|
287 | (32) |
|
Conducting an Independent-Samples t Test |
|
|
288 | (11) |
|
A Distribution of Differences Between Means |
|
|
288 | (2) |
|
The Six Steps of the Independent-Samples t Test |
|
|
290 | (7) |
|
|
297 | (2) |
|
Beyond Hypothesis Testing |
|
|
299 | (20) |
|
Calculating a Confidence Interval for an Independent-Samples t Test |
|
|
299 | (3) |
|
Calculating Effect Size for an Independent-Samples t Test |
|
|
302 | (17) |
|
Chapter 11 One-Way Between-Groups ANOVA |
|
|
319 | (44) |
|
Using the F Distributions with Three or More Samples |
|
|
320 | (5) |
|
Type I Errors When Making Three or More Comparisons |
|
|
321 | (1) |
|
The F Statistic as an Expansion of the z and t Statistics |
|
|
321 | (1) |
|
The F Distributions for Analyzing Variability to Compare Means |
|
|
322 | (1) |
|
|
323 | (1) |
|
The Language and Assumptions for ANOVA |
|
|
323 | (2) |
|
One-Way Between-Groups ANOVA |
|
|
325 | (16) |
|
Everything About ANOVA But the Calculations |
|
|
325 | (5) |
|
The Logic and Calculations of the F Statistic |
|
|
330 | (8) |
|
|
338 | (3) |
|
Beyond Hypothesis Testing for the One-Way Between-Groups ANOVA |
|
|
341 | (22) |
|
R2 and Omega Squared, Effect Sizes for ANOVA |
|
|
341 | (1) |
|
|
342 | (1) |
|
|
343 | (20) |
|
Chapter 12 Two-Way Between-Groups ANOVA |
|
|
363 | (46) |
|
|
365 | (4) |
|
|
366 | (1) |
|
The More Specific Vocabulary of Two-Way ANOVA |
|
|
367 | (1) |
|
Two Main Effects and an Interaction |
|
|
367 | (2) |
|
Understanding Interactions in ANOVA |
|
|
369 | (9) |
|
Interactions and Public Policy |
|
|
370 | (1) |
|
Interpreting Interactions |
|
|
370 | (8) |
|
Conducting a Two-Way Between-Groups ANOVA |
|
|
378 | (31) |
|
The Six Steps of Two-Way ANOVA |
|
|
379 | (5) |
|
Identifying Four Sources of Variability in a Two-Way ANOVA |
|
|
384 | (5) |
|
Effect Size for Two-Way ANOVA |
|
|
389 | (2) |
|
|
391 | (18) |
|
|
409 | (32) |
|
The Meaning of Correlation |
|
|
410 | (6) |
|
The Characteristics of Correlation |
|
|
410 | (4) |
|
Correlation Is Not Causation |
|
|
414 | (2) |
|
The Pearson Correlation Coefficient |
|
|
416 | (25) |
|
Calculating the Pearson Correlation Coefficient |
|
|
416 | (4) |
|
Hypothesis Testing with the Pearson Correlation Coefficient |
|
|
420 | (2) |
|
Correlation, Causation, and Big Data |
|
|
422 | (19) |
|
|
441 | (40) |
|
|
442 | (13) |
|
Prediction Versus Relation |
|
|
443 | (1) |
|
|
444 | (3) |
|
Determining the Regression Equation |
|
|
447 | (4) |
|
The Standardized Regression Coefficient and Hypothesis Testing with Regression |
|
|
451 | (4) |
|
Interpretation and Prediction |
|
|
455 | (9) |
|
|
455 | (6) |
|
Applying the Lessons of Correlation to Regression |
|
|
461 | (1) |
|
|
461 | (3) |
|
|
464 | (17) |
|
Understanding the Equation |
|
|
464 | (2) |
|
Multiple Regression in Everyday Life |
|
|
466 | (1) |
|
Ethical Landmines in Predicting Individual Behavior |
|
|
467 | (14) |
|
Chapter 15 Chi-Square Tests |
|
|
481 | (40) |
|
|
483 | (2) |
|
An Example of a Nonparametric Test |
|
|
483 | (1) |
|
When to Use Nonparametric Tests |
|
|
483 | (2) |
|
|
485 | (15) |
|
Chi-Square Test for Goodness of Fit |
|
|
485 | (6) |
|
Chi-Square Test for Independence |
|
|
491 | (6) |
|
Adjusted Standardized Residuals |
|
|
497 | (3) |
|
Beyond Hypothesis Testing |
|
|
500 | (21) |
|
Cramer's V, the Effect Size for Chi Square |
|
|
500 | (1) |
|
Graphing Chi-Square Percentages |
|
|
501 | (2) |
|
|
503 | (18) |
|
Chapter 16 Choosing and Reporting Statistics |
|
|
521 | (1) |
|
Choosing the Right Statistical Test |
|
|
522 | (2) |
|
Category 1 Two Scale Variables |
|
|
524 | (5) |
|
Category 2 Nominal Independent Variable(s) and a Scale Dependent Variable |
|
|
525 | (2) |
|
Category 3 Only Nominal Variables |
|
|
527 | (2) |
|
|
529 | (1) |
|
Overview of Reporting Statistics |
|
|
530 | (1) |
|
|
531 | (3) |
|
Reporting the Traditional and the New Statistics |
|
|
534 | (4) |
|
|
538 | |
|
APPENDIX A Reference for Basic Mathematics |
|
|
1 | (1) |
|
A.1 Diagnostic Test: Skills Evaluation |
|
|
1 | (1) |
|
A.2 Symbols and Notation: Arithmetic Operations |
|
|
2 | (1) |
|
|
3 | (1) |
|
A.4 Proportions: Fractions, Decimals, and Percentages |
|
|
4 | (2) |
|
A.5 Solving Equations with a Single Unknown Variable |
|
|
6 | (1) |
|
A.6 Answers to Diagnostic Test and Self-Quizzes |
|
|
7 | |
|
APPENDIX B Statistical Tables |
|
|
1 | (1) |
|
TABLE B-1 The z Distribution |
|
|
1 | (4) |
|
TABLE B-2 The t Distributions |
|
|
5 | (1) |
|
TABLE B-3 The F Distributions |
|
|
6 | (5) |
|
TABLE B-4 The Chi-Square Distributions |
|
|
11 | (1) |
|
TABLE B-5 The q Statistic (Tukey HSD Test) |
|
|
11 | (2) |
|
TABLE B-6 The Pearson Correlation Coefficient |
|
|
13 | (1) |
|
|
14 | |
|
APPENDIX C Solutions to Odd-Numbered End-of-Chapter Problems |
|
|
1 | (1) |
|
APPENDIX D Check Your Learning Solutions |
|
|
1 | (1) |
|
APPENDIX E The Bayesian Approach to Statistics |
|
|
1 | (1) |
Glossary |
|
1 | (1) |
References |
|
1 | (1) |
Index |
|
1 | (1) |
Formulas |
|
1 | |