# 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.

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.

You'll get 1 file (83.5KB)