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1. What does one-way mean? 2. What does between-subjects mean? 3. A researcher conducts a one-way ANOVA with four levels. How many different groups are

1. What does one-way mean?

2. What does between-subjects mean?

3. A researcher conducts a one-way ANOVA with four levels. How many different groups are in this study?

4. What are the two sources of variability for the one-way ANOVA?

5. State the null hypothesis for the one-way between-subjects ANOVA.

6. Explain why you want to maximize between groups variability but minimize your within-groups variability.

7. A researcher rejects the null hypothesis for a one-way between-subjects ANOVA, where k = 4. What is the next step in the analysis? Explain.

8. What is a post hoc test? Explain when to use a post hoc test?

9. Are post hoc tests necessary following a significant ANOVA testing one independent variable with 2 levels. Explain.

10. Explain what F(2, 12) means.

11. State the (a) factor and (b) the number of levels for each of the following:

a. A marine biologist measures the effectiveness of mating displays among tortoises in one of six environmental conditions. Ten tortoises are randomly assigned to each condition. (for this item, also give the degrees of freedom)

b. A neuropsychologist measures the behavioral response to electrical stimulation in one of five brain regions.

c. A sociologist records the number of children born in a local village each season (spring, summer, fall, winter) in a single year.

d. A social psychologist has participants rate the likability of a person described as having one of three types of leadership styles. The breakdown of leadership styles is 25 autocratic, 25 bureaucratic, and 25 democratic. (for this item, also give the degrees of freedom)

12. For items (a) - (d) identify the following:

  • k?
  • N?
  • N (assumed equal size groups)?
  • What is the decision at 0.05 level of significance for each of the following tests?
  • Are post hocs necessary?

a. F(3, 28) = 3.00

b. F(1, 40) = 4.98

c. F(4, 30) = 2.72

d. F(2, 33) = 2.03

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