Sold Out
Book Categories |
Preface | xv | |
To the Student | xxi | |
Part 1 | Statistical Preliminaries | 1 |
Chapter 1 | Introduction and Mathematical Preliminaries | 2 |
1.1 | The Study of Statistics | 2 |
1.2 | Research in the Behavioral Sciences | 4 |
1.3 | Variables | 5 |
1.4 | Measurement | 6 |
1.5 | Discrete and Continuous Variables | 14 |
1.6 | Populations and Samples | 16 |
Box 1.1 | Biased Sampling | 17 |
1.7 | Descriptive and Inferential Statistics | 18 |
1.8 | The Concept of Probability | 19 |
1.9 | Mathematical Preliminaries: A Review | 20 |
1.10 | Statistics and Computers | 28 |
Summary | 29 | |
Chapter 2 | Frequency and Probability Distributions | 34 |
2.1 | Frequency Distributions for Quantitative Variables: Ungrouped Scores | 34 |
2.2 | Frequency Distributions for Quantitative Variables: Grouped Scores | 38 |
2.3 | Frequency Distributions for Qualitative Variables | 41 |
2.4 | Outliers | 42 |
2.5 | Frequency Graphs | 43 |
2.6 | Misleading Graphs | 51 |
2.7 | Graphs of Relative Frequencies, Percentages, Cumulative Frequencies, and Cumulative Relative Frequencies | 52 |
2.8 | Probability Distributions | 53 |
2.9 | Empirical and Theoretical Distributions | 56 |
2.10 | Method of Presentation | 57 |
2.11 | Examples from the Literature | 59 |
Summary | 63 | |
Chapter 3 | Measures of Central Tendency and Variability | 67 |
3.1 | Measures of Central Tendency for Quantitative Variables | 68 |
3.2 | Measures of Variability for Quantitative Variables | 78 |
3.3 | Computational Formula for the Sum of Squares | 83 |
3.4 | Relationship Between Central Tendency and Variability | 85 |
3.5 | Graphs of Central Tendency and Variability | 86 |
3.6 | Measures of Central Tendency and Variability for Qualitative Variables | 89 |
3.7 | Skewness and Kurtosis | 90 |
3.8 | Sample Versus Population Notation | 91 |
3.9 | Method of Presentation | 91 |
3.10 | Example from the Literature | 92 |
Summary | 95 | |
Chapter 4 | Percentiles, Percentile Ranks, Standard Scores, and the Normal Distribution | 100 |
4.1 | Percentiles and Percentile Ranks | 101 |
4.2 | Standard Scores | 105 |
4.3 | Standard Scores and the Normal Distribution | 109 |
4.4 | Standard Scores and the Shape of the Distribution | 113 |
4.5 | Method of Presentation | 113 |
Summary | 120 | |
Appendix 4.1 | The Normal Distribution Formula | 121 |
Chapter 5 | Pearson Correlation and Regression: Descriptive Aspects | 125 |
5.1 | Use of Pearson Correlation | 125 |
5.2 | The Linear Model | 126 |
5.3 | The Pearson Correlation Coefficient | 130 |
5.4 | Correlation and Causation | 138 |
5.5 | Interpreting the Magnitude of a Correlation Coefficient | 139 |
5.6 | Regression | 140 |
5.7 | Additional Issues Associated with the Use of Correlation and Regression | 145 |
Summary | 153 | |
Chapter 6 | Probability | 157 |
6.1 | Probabilities of Simple Events | 159 |
6.2 | Conditional Probabilities | 160 |
6.3 | Joint Probabilities | 161 |
6.4 | Adding Probabilities | 162 |
6.5 | Relationships Among Probabilities | 162 |
6.6 | Sampling with Versus Without Replacement | 164 |
Box 6.1 | Beliefs and Probability Theory | 165 |
6.7 | Counting Rules | 166 |
6.8 | The Binomial Expression | 169 |
Summary | 176 | |
Chapter 7 | Estimation and Sampling Distributions | 181 |
7.1 | Finite Versus Infinite Populations | 181 |
7.2 | Estimation of the Population Mean | 182 |
7.3 | Estimation of the Population Variance and Standard Deviation | 184 |
7.4 | Degrees of Freedom | 187 |
7.5 | Sampling Distribution of the Mean and the Central Limit Theorem | 188 |
Box 7.1 | Polls and Random Samples | 191 |
7.6 | Types of Sampling Distributions | 197 |
Summary | 202 | |
Chapter 8 | Hypothesis Testing: Inferences About a Single Mean | 205 |
8.1 | A Simple Analogy for Principles of Hypothesis Testing | 205 |
8.2 | Statistical Inference and the Normal Distribution: The One-Sample z Test | 206 |
8.3 | Defining Expected and Unexpected Results | 210 |
8.4 | Failing to Reject Versus Accepting the Null Hypothesis | 211 |
8.5 | Type I and Type II Errors | 212 |
8.6 | Effects of Alpha and Sample Size on the Power of Statistical Tests | 214 |
8.7 | Statistical and Real-World Significance | 216 |
8.8 | Directional Versus Nondirectional Tests | 216 |
8.9 | Statistical Inference Using Estimated Standard Errors: The One-Sample t Test | 219 |
8.10 | Confidence Intervals | 225 |
8.11 | Method of Presentation | 229 |
8.12 | Examples from the Literature | 231 |
Summary | 233 | |
Part 2 | The Analysis of Bivariate Relationships | 239 |
Chapter 9 | Research Design and Statistical Preliminaries for Analyzing Bivariate Relationships | 240 |
9.1 | Principles of Research Design: Statistical Implications | 240 |
Box 9.1 | Confounding and Disturbance Variables | 247 |
9.2 | Selecting the Appropriate Statistical Test to Analyze a Relationship: A Preview | 251 |
Summary | 255 | |
Chapter 10 | Independent Groups t Test | 259 |
10.1 | Use of the Independent Groups t Test | 259 |
10.2 | Inference of a Relationship Using the Independent Groups t Test | 261 |
10.3 | Strength of the Relationship | 271 |
10.4 | Nature of the Relationship | 280 |
10.5 | Methodological Considerations | 281 |
10.6 | Numerical Example | 281 |
10.7 | Planning an Investigation Using the Independent Groups t Test | 284 |
10.8 | Method of Presentation | 286 |
10.9 | Examples from the Literature | 287 |
Summary | 294 | |
Chapter 11 | Correlated Groups t Test | 302 |
11.1 | Use of the Correlated Groups t Test | 302 |
11.2 | Inference of a Relationship Using the Correlated Groups t Test | 303 |
11.3 | Strength of the Relationship | 308 |
11.4 | Nature of the Relationship | 311 |
11.5 | Methodological Considerations | 311 |
11.6 | Power of Correlated Groups Versus Independent Groups t Tests | 312 |
11.7 | Numerical Example | 314 |
11.8 | Planning an Investigation Using the Correlated Groups t Test | 316 |
11.9 | Method of Presentation | 317 |
11.10 | Examples from the Literature | 318 |
Summary | 321 | |
Appendix 11.1 | Computational Procedures for the Nullified Score Approach | 322 |
Chapter 12 | One-Way Between-Subjects Analysis of Variance | 329 |
12.1 | Use of One-Way Between-Subjects Analysis of Variance | 329 |
12.2 | Inference of a Relationship Using One-Way Between-Subjects Analysis of Variance | 330 |
12.3 | Relationship of the F Test to the t Test | 344 |
12.4 | Strength of the Relationship | 344 |
12.5 | Nature of the Relationship | 345 |
12.6 | Unstandardized Effect Sizes and Confidence Intervals | 349 |
12.7 | Methodological Considerations | 350 |
12.8 | Numerical Example | 350 |
12.9 | Planning an Investigation Using One-Way Between-Subjects Analysis of Variance | 354 |
12.10 | Method of Presentation | 354 |
12.11 | Examples from the Literature | 356 |
Summary | 360 | |
Appendix 12.1 | Rationale for the Degrees of Freedom | 361 |
Chapter 13 | One-Way Repeated Measures Analysis of Variance | 369 |
13.1 | Use of One-Way Repeated Measures Analysis of Variance | 369 |
13.2 | Inference of a Relationship Using One-Way Repeated Measures Analysis of Variance | 371 |
13.3 | Strength of the Relationship | 380 |
13.4 | Nature of the Relationship | 381 |
13.5 | Unstandardized Effect Size and Confidence Intervals | 383 |
13.6 | Methodological Considerations | 383 |
13.7 | Numerical Example | 385 |
13.8 | Planning an Investigation Using One-Way Repeated Measures Analysis of Variance | 388 |
13.9 | Method of Presentation | 389 |
13.10 | Examples from the Literature | 390 |
Summary | 395 | |
Appendix 13.1 | Determining the Nature of the Relationship Under Sphericity Violations | 395 |
Chapter 14 | Pearson Correlation and Regression: Inferential Aspects | 402 |
14.1 | Use of Pearson Correlation | 402 |
14.2 | Inference of a Relationship Using Pearson Correlation | 403 |
14.3 | Strength of the Relationship | 407 |
14.4 | Confidence Intervals for the Correlation Coefficient | 407 |
14.5 | Nature of the Relationship | 408 |
14.6 | Planning an Investigation Using Pearson Correlation | 408 |
14.7 | Method of Presentation for Pearson Correlation | 408 |
14.8 | Examples from the Literature | 409 |
14.9 | Regression | 411 |
14.10 | Numerical Example | 414 |
14.11 | Method of Presentation for Regression | 418 |
Summary | 423 | |
Appendix 14.1 | Testing Null Hypotheses Other Than [rho] = 0 | 423 |
Appendix 14.2 | Confidence Intervals for the Correlation Coefficient | 425 |
Chapter 15 | Chi-Square Test | 433 |
15.1 | Use of the Chi-Square Test | 433 |
15.2 | Two-Way Contingency Tables | 434 |
15.3 | Chi-Square Tests of Independence and Homogeneity | 435 |
15.4 | Inference of a Relationship Using the Chi-Square Test | 435 |
15.5 | 2 x 2 Tables | 441 |
15.6 | Strength of the Relationship | 442 |
15.7 | Nature of the Relationship | 443 |
15.8 | Methodological Considerations | 444 |
15.9 | Numerical Example | 445 |
15.10 | Use of Quantitative Variables in the Chi-Square Test | 446 |
15.11 | Planning an Investigation Using the Chi-Square Test | 447 |
15.12 | Method of Presentation | 448 |
15.13 | Examples from the Literature | 449 |
15.14 | Chi-Square Goodness-of-Fit Test | 451 |
Summary | 455 | |
Appendix 15.1 | Determining the Nature of the Relationship Using a Modified Bonferroni Procedure | 456 |
Chapter 16 | Nonparametric Statistics | 463 |
16.1 | Rank Scores | 464 |
16.2 | Nonparametric Statistics and Outliers | 466 |
16.3 | Analysis of Ranked Data Using Parametric Formulas | 467 |
16.4 | Rank Tests for Two Independent Groups | 467 |
16.5 | Rank Test for Two Correlated Groups | 471 |
16.6 | Rank Test for Three or More Independent Groups | 474 |
16.7 | Rank Test for Three or More Correlated Groups | 477 |
16.8 | Rank Test for Correlation | 480 |
16.9 | Examples from the Literature | 483 |
Summary | 486 | |
Appendix 16.1 | Corrections for Ties for Nonparametric Rank Tests | 486 |
Part 3 | Additional Topics | 495 |
Chapter 17 | Two-Way Between-Subjects Analysis of Variance | 496 |
17.1 | Factorial Designs | 497 |
17.2 | Use of Two-Way Between-Subjects Analysis of Variance | 498 |
17.3 | The Concepts of Main Effects and Interactions | 499 |
17.4 | Inference of Relationships Using Two-Way Between-Subjects Analysis of Variance | 506 |
17.5 | Strength of the Relationships | 514 |
17.6 | Nature of the Relationships | 515 |
17.7 | Methodological Considerations | 518 |
17.8 | Numerical Example | 518 |
17.9 | Unequal Sample Sizes | 526 |
17.10 | Planning an Investigation Using Two-Way Between-Subjects Analysis of Variance | 527 |
17.11 | Method of Presentation | 529 |
17.12 | Examples from the Literature | 531 |
Summary | 536 | |
Chapter 18 | Overview and Extension: Selecting the Appropriate Statistical Test for Analyzing Bivariate Relationships and Procedures for More Complex Designs | 544 |
18.1 | Selecting the Appropriate Statistical Test for Analyzing Bivariate Relationships | 544 |
18.2 | Case I: The Relationship Between Two Qualitative Variables | 545 |
18.3 | Case II: The Relationship Between a Qualitative Independent Variable and a Quantitative Dependent Variable | 545 |
18.4 | Case III: The Relationship Between a Quantitative Independent Variable and a Qualitative Dependent Variable | 549 |
18.5 | Case IV: The Relationship Between Two Quantitative Variables | 549 |
18.6 | Procedures for More Complex Designs | 550 |
18.7 | Alternative Approaches to Null Hypothesis Testing | 553 |
Summary | 554 | |
Appendix A | Table of Random Numbers | 559 |
Appendix B | Proportions of Scores in a Normal Distribution | 562 |
Appendix C | Factorials | 572 |
Appendix D | Critical Values for the t Distribution | 573 |
Appendix E | Power and Sample Size | 575 |
Appendix F | Critical Values for the F Distribution | 599 |
Appendix G | Studentized Range Values (q) | 603 |
Appendix H | Critical Values for Pearson r | 606 |
Appendix I |
Title: Statistics for the Behavioral Sciences Item Number: 9780534634032 Publication Date: July 2009 Number: 5 Product Description: Statistics for the Behavioral Sciences Universal Product Code (UPC): 9780534634032 WonderClub Stock Keeping Unit (WSKU): 9780534634032 Rating: 4/5 based on 2 Reviews Image Location: https://wonderclub.com/images/covers/40/32/9780534634032.jpg Weight: 0.200 kg (0.44 lbs) Width: 7.400 cm (2.91 inches) Heigh : 9.200 cm (3.62 inches) Depth: 1.300 cm (0.51 inches) Date Added: August 25, 2020, Added By: Ross Date Last Edited: August 25, 2020, Edited By: Ross
|