Analysis of Variance

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Overview

  1. 12.1 One-Way Analysis of Variance (ANOVA)
  2. 12.2 Multiple Comparisons
  3. 12.3 Randomized Block Design
  4. 12.4 Two-Way ANOVA
  5. Chapter 12 Formulas and Vocabulary
  6. Chapter 12 Review Exercises
  7. Chapter 12 Quiz

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image Professors on Facebook

To improve communication with students, many instructors have been turning to computer-mediated interaction via online social networks. Online social networks serve as virtual meeting spots, where instructors and students can share information and interests outside the classroom. Do you think that the amount of information a professor posts about himself or herself, that is, self-disclosure, has an effect on the motivation, affective learning, classroom climate, or other important instructional issues? A recently published research paper asked precisely this question.1 The researchers' primary research tool was analysis of variance (ANOVA), our topic here in Chapter 12. We investigate their results on page 678 in the Case Study “Professors on Facebook.”

THE BIG PICTURE

Where we are coming from and where we are headed …

  • In Chapter 10, we learned how to compare the population means of two populations.
  • Here, in Chapter 12, we are introduced to analysis of variance (ANOVA), a way to compare the population means of several (more than two) different groups, and determine whether significant differences exist between the means. For example, are there significant differences in mean grade point average among the freshmen, sophomores, juniors, and seniors at your school?
  • After Chapter 12, there are only two chapters left—Chapter 13, “Inference in Regression,” where we extend our work from Chapter 4, “Correlation and Regression,” and Chapter 14, “Nonparametric Statistics.”