Section 6: Interpreting Output for ANOVA (0 p-value Instructions: You are a health psychologist who is interested in the effect of exercise on happiness. You collect data from a happiness measurement scale from three groups of individuals who were enrolled in either a cardio strength or full-body training regimen. Fill out the ANOVA table below and answer the following questions. You must show work for your calculation in filling out the ANOVA table to receive partial credit. Type SS dfe MS Between-subjects 4502 272 (2.0 pts) (2.0 pts) (2.0 pts) Within-subjects 902 Total 5402 (2.0 pts) 6.1. With an F-critical value of 2.96, is there a significant difference between the groups? (1.0 pts) 6.2. What would be an appropriate post-hoc comparison method? (2.0 pts)
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First, we need to fill out the ANOVA table: Type- SS dfe MS Between 4502 2 2251 Within 902 269 3.35 Total 5402 271 Show more…
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Exercise 8: ANOVA and PHA Perform the following: A. 1.) Discuss when to use the ANOVA, the One-way ANOVA and the two – way ANOVA. 2.) Discuss the importance of carrying out the post hoc analysis. B. Solve the following problem. Use the extra sheet if necessary. 1.) Consider Ho: μ1=μ2=μ3=μ4=μ5=μ6 a. Complete the following ANOVA table: Source | Sum of Square | Degrees of Freedom | Mean Square | Computed F Treatment | 200 | | | Error | | | | Total | 500 | 30 | b. Using a 5% significance level, would you reject Ho? Perform the 7-steps of hypothesis testing. Use extra sheets, if necessary. 2. In an experiment designed to compare the effects of tutoring on scores obtained on an examination, 3 levels of tutoring were used; none, 4 hours and 12 hours. A random sample of 18 students from a class and each student was randomly assigned to one of the treatment groups. The results of the cores are given in the following table: None | 4 hours | 12 hours 30 | 32 | 35 27 | 30 | 33 26 | 29 | 32 24 | 27 | 30 22 | 25 | 27 20 | 24 | 26 At a level of significance of 0.05, test the null hypothesis that the mean of the three treatment groups do not vary, that is Ho: μ1=μ2=μ3.
Sri K.
Use the following data set to complete the ANOVA table and answer the questions. Group 1 Group 2 Group 3 2 2 3 5 5 4 4 2 8 7 3 7 6 1 7 ANOVA table Source SS df MS F p-value Treatment Error Total Is there a significant difference (α=0.05) between at least two of the four groups for the analysis in question 1 (above)? (circle one) YES NO Confidence interval for Group 1 (______, ______) Confidence interval for Group 2 (______, ______) Confidence interval for Group 3 (______, ______) Is Group 1 significantly different from Group 2 at the α=0.05 level of significance YES NO Is Group 1 significantly different from Group 3 at the α=0.05 level of significance YES NO Is Group 2 significantly different from Group 3 at the α=0.05 level of significance YES NO
Madhur L.
Fill in the ANOVA Summary Table and answer the questions below. Use ̑ = 0.05. Fill in the missing values in the ANOVA Summary Table Source SS df MS F Between 120 30 Within 400 10 Total 23. (0.5 pt) How many participants were in this study? 24. (0.5 pt) How many levels were there? 25. (0.5 pt) What is the value of Fcrit? 26. (0.5 pt) Is there evidence of a significant treatment effect? 27. (1 pt) Suppose that in reality, there are NO significant differences among the population means. Was a statistical error committed? Briefly explain your answer.
Lucas F.
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