Math, Statistics and Probability
IconnicThe following data were obtained from a repeated-measures study comparing three treatment conditions. Use a repeated-measures ANOVA with α = 0.05 to determine whether there are significant mean differences among the three treatments.
Treatments | |||||
Person | I | II | III | Person Totals | |
A | 3 | 4 | 2 | P = 9 | |
B | 0 | 1 | 6 | P = 7 | N = 18 |
C | 1 | 5 | 3 | P = 9 | G = 53 |
D | 2 | 5 | 6 | P = 13 | ΣX2 = 231 |
E | 0 | 3 | 2 | P = 5 | |
F | 0 | 4 | 6 | P = 10 | |
M = 1.000 | M = 3.667 | M = 4.167 | |||
T = 6 | T = 22 | T = 25 | |||
SS = 8.000 | SS = 11.333 | SS = 20.833 |
Fill in the missing values. (Round your answers for SS, MS, and F to two decimal places.)
Source | SS | df | MS | F |
Between Treatments | ||||
Within Treatments | ||||
Between Subjects | ||||
Error | ||||
Total |
What is the critical F value? (Round your answer to two decimal places.)
Fcrit =
What do you conclude?
Reject the null hypothesis. There are not significant differences among the three treatments.Fail to reject the null hypothesis. There are not significant differences among the three treatments.Fail to reject the null hypothesis. There are significant differences among the three treatments.Reject the null hypothesis. There are significant differences among the three treatments.
- 7 years ago