Lesson 13 1. The following data represent the results from an independent-measures experiment....

Lesson 13
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.
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