Lane chapter 15 (2, 4, 6, 10) 2. What are the assumptions of between-subjects analysis of variance? 4. Why not just compute t-tests among all pairs of means instead computing an analysis of variance? 6. How is it that estimates of variance can be used to test a hypothesis about means? 10. If an experiment is conducted with 5 conditions and 6 subjects in each condition, what are DFn and DFe? Illowsky chapter 13 (1-8)-(9-15) 71 Use the following information to answer the next five exercises. There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they? 1. 2. 3. 4. 5. 6. 7. 8. Write one assumption. Write another assumption Write a third assumption Write a fourth assumption. Write the final assumption. State the null hypothesis for a one-way ANOVA test if there are four groups. State the alternative hypothesis for a one-way ANOVA test if there are three groups. When do you use an ANOVA test? Use the following information to answer the next exercises. Groups of men from three different areas of the country are to be tested for mean weight. The entries in the table are the weights for the different groups. The one-way ANOVA results are shown below: Group 1- Group 2- Group 3 216 -202- 170 198 -213 -165 240 -284 -182 187 -228 -197 176- 210 -201 9. 10. 11. 12. 13. 14. 15. What is the Sum of Squares Factor? What is the Sum of Squares Error? What is the df for the numerator? What is the df for the denominator? What is the Mean Square Factor? What is the Mean Square Error? What is the F statistic? 71. Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? below shows the results of a study White- Black- Hispanic -Asian 6 -4 -7 -8 8 -1 -3 -3 2- 5- 5- 5 4 -2- 4- 1 6- 0- 6- 7 Assume that all distributions are normal, the four population standard deviations are approximately the same, and the data were collected independently and randomly. Use a level of significance of 0.05