Treatment Effectiveness Score Treatment 1 Treatment 2 Treatment 3 Problem 1 50.0 points possible (graded, results hidden] There are 3 different treatment groups and 14 individuals who are randomly assigned into the groups. The Table shows the effectiveness score of the treatment for each individual. Conduct a one--way ANOVA to test whether these 3 treatments are equally effective; i.e. test the hypothesis Hg : p1 = 11.2 2 31.3, where the (\"J'Jj=1:3 are the means for the three groups. {1} Compute the between sum of squares. O 3513 = 5.86 O SSE = 9.23 O 833 = 16.71 O 8513 = 23.64 (2) Compute the within sum of squares. O SSW = 5 O SSW = 15 O SSW = 30 O SSW = 45 (3) Compute the F-test statistic. O F2,11 = 2.04 O F2,11 = 2.86 O F3,12 = 2.04 O F3,12 = 2.86 (4) Find the p-value and state the conclusion of the test with o = 0.1 as the level of significance. Op = 0.083, reject Ho Op = 0.083, do not reject Ho Op = 0.176, reject Ho Op = 0.176, do not reject Ho(5) Rewrite this test using an alternative notation. O yij = uj + ocij, Ho : M1 = /2 = /3 = 0 O yij = u + aj + ofjj, Ho : 01 = 02 = 03 =0 O yij = u+ ocij, Ho : 1 =0