Q1 [50 points]. Two approaches to learning problem-solving strategies - more specifically, generating alternative solutions - were investigated. Thirty sixth graders were randomly assigned to one of the two approaches and a control condition. Treatment level a1, referred to as the training condition, involved participating in five sessions per week during three consecutive weeks. Students assigned to this condition observed a videotape introduction for 10 minutes, practiced the skill for 15 minutes, observed peer models via videotape for 15 minutes, and watched a videotaped review for 10 minutes. Treatment level az, a film and discussion condition, was conducted concurrently with the training condition and for the same amount of time. Films related to generating alternative solutions were shown followed by group discussions. The students in the control condition, treatment level as, did not receive any form of training. At the conclusion of the experiment, five problem situations were presented, and the students were instructed to write down as many solutions to each one as they could. The dependent variable was the number of solutions proposed, summed across the five problems. The following data were obtained. [Experiment suggested by Poitras-Martin, Danielle, & Steve, Gerald, L. (1977). Psychological education: A skills-oriented approach. Journal of Counseling Psychology, 24,~ 153-157.] ~ age 11+ 7 + 124 14 18+ 194 13+ 9 4 17+ 134 174 104 13+ 14+ 8 4 14+ 13+ 12+ 160 110 a. Carry out the model comparison necessary to test whether there is a statistically significant difference between the means of the three groups. State the model, estimate their parameters. calculate the predicted scores and errors for each individual subject, compute the summary measures ER and EF, and finally determine the value of F and its significance. [10 points]~ b. Test the null hypothesis uj = 2 = us; let a = .05. Construct an ANOVA table summarizing the results of the analysis and explain your findings. [10 points] c. Compute the effect size in d and f [10 points]~ d. Determine the sample size that would be required to achieve a power of .80 using an a of .05 if one used the value of farrived at in the above part c as the effect size measure in the power analysis. [10 points]~ e. Now compute fadi: the corrected effect size measure that adjusts for the sampling variability in the observed means. Carry out a revised power analysis based on this adjusted effect size measure. How many more subjects are required to achieve 80% power than would have been thought to be required if the power analysis had been based on the uncorrected effect size estimate as in part d. [10 points]