Lesson 13: data represent the results from an independent-measures experiment comparing three treatment condition

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1. The following data represent the results from an independent-measures experiment comparing three treatment conditions. Use an analysis of variance with α = .05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. _________________________________________________ _____________Treatment______________ ______I__________II_________III____________________ 3 5 6 N = 12 5 5 10 G = 60 3 1 10 ΣX2 = 392 1 5 6 _________________________________________________ T = 12 T = 16 T = 32 SS = 8 SS = 12 SS = 16 _________________________________________________ 2. A developmental psychologist is examining problem-solving ability for grade school children. Random samples of 5-year-old, 6-year-old, and 7-year-old children are obtained with n =3 in each sample. Each child is given a standardized problem-solving task, and the psychologist records the number of errors. The data are as follows: ________________________________________________ ___5-year-olds________6-year-olds______7-year-olds____ 5 6 0 4 4 1 G=30 6 2 2 ΣX2 = 138 ________________________________________________ T = 15 T = 12 T = 3 SS = 2 SS = 8 SS = 2 ________________________________________________ a. Use these data to test whether there are any significant differences among the three age groups. Use α = .05.