Question

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.  You do not need to do post-hoc tests.

                Treatments

1                     2                    3

2                     6                    6                    N = 12

4                     6                   10                   G = 60

2                     2                   10               ∑X² = 408

0                     6                    6

         T = 8              T = 20           T = 32

        SS = 8            SS = 12         SS = 16

2.  A researcher reports an F-ratio with df = 3,24 for an independent-measures research study.

     a. How many treatment conditions were compared in the study?

     b. How many subjects participated in the entire study?

Answer 1

1 2 3 Anova: Single Factor 2 6 6 4 6 10 SUMMARY Groups 2. A researcher reports an F-ratio with df = 3,24 for an independent- measures research study. a. How many treatment conditions were compared in the study? b. How many subjects participated in the entire study? 4 2 2 10 Since df = 3,24 means df of treatments and total and DF(treatments) = k-1, DF(Total) = n-1 0 6 6 25 1.00 2.00 Count Sum Average Variance 4.00 8.00 2.00 2.67 4.00 20.00 5.00 4.00 4.00 32.00 8.00 5.33 3.00 MS F ANOVA Source of Variation Between Groups Within Groups SS df 72.00 2.00 36.00 9.00 P-value Fcrit 9.00 0.0071 4.26 36.00 4.00 Total 108.00 11.00 1) Ho: u1 = u2 = u3 VS Ha: Not all the means are equal Test Statistic, F 9.00 P-value 0.0071 We reject and conclude there is sufficient evidence to claim that there are significant differences between the treatments