B The critical value, assuming a p level of 005

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Heather Wagoner PS 307/ Statistics for Social Sciences Assignment Week 6 Chapter 12 12.20 For the following data, assuming a between-groups design, determine: Group 1: 11, 17, 22, 15 Group 2: 21, 15, 16 Group 3: 7, 8, 10, 6, 4 Group 4: 13, 6, 17, 27, 20 a. df between df between = N groups -1=4-1=3 b. df within df within = ( df 1 1 ) + df ( ¿¿ 2 1 ) ¿ + df ( ¿¿ 3 1 ) ¿ + df ( ¿¿ 4 1 ) ¿ =3 + 2 + 4 +4=13 a. df total df total = df between + df within = 16 b. The critical value, assuming a p level of 0.05 c. The mean for each group and the grand mean
d. The total sum of squares 1
Heather Wagoner PS 307/ Statistics for Social Sciences Assignment Week 6 e. The within groups sum of squares f. The between-groups sum of squares 2
Heather Wagoner PS 307/ Statistics for Social Sciences Assignment Week 6 g. The rest of the ANOVA source table for these data
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Heather Wagoner PS 307/ Statistics for Social Sciences Assignment Week 6 1 N ( ¿ ) N ’ = N groups ¿ = N ’ = 4 ( 1 4 ) + ( 1 3 ) + ( 1 6 ) + ( 1 5 ) = 4 0.95 = 4.21 s M = MS within N ' = 2656.109 4.21 = 25.117 Group 1 (-40.266) vs Group 2(-39.183) HSD = (− 40.266 −− 39.183 ) 25.117 = -0.043 Group 1(-40.266) vs Group 3(-50.183) HSD = (− 40.266 −− 50.183 ) 25.117 = 0.394 Group 1(-40.266) vs Group 4(-39.916) HSD = (− 40.266 −− 39.916 ) 25.117 = -0.013 Group 2(-39.183) vs Group 3(-50.183) HSD = (− 39.183 −− 50.183 ) 25.117 = 0.796 Group 2(-39.183) vs Group 4(-39.916) HSD = (− 39.183 −− 39.916 ) 25.117 = 0.029 Group 3(-50.183) vs Group (-39.916) HSD = (− 50.183 −− 39.916 ) 25.117 = -0.408 12.24 An incomplete one-way between-groups ANOVA source table is shown below. Compute the missing values. 4
Heather Wagoner PS 307/ Statistics for Social Sciences Assignment Week 6 12.40 Two samples of students, one comprised of social science majors and one comprised of students with other majors, completed the Consideration of Future Consequences scale (CFC). The accompanying tables include the output from software for an independent- samples t test and a one-way between-groups ANOVA on these data. a. Demonstrate that the results of the independent samples t test and the one-way between-groups ANOVA are the same. (Hint: Find the t statistic for the t test and the F statistic for the ANOVA)
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