HW6_sol - 4.2. A against B plot is synergistic if ME ( B |...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 4.2. A against B plot is synergistic if ME ( B | A+ ) ME ( B | A−) > 0. Then, [ME ( B)] − [INT ( A, B)] = ⎡ ME ( B | A+) + ME ( B | A−) ⎤ − ⎡ ME ( B | A+) − ME ( B | A−) ⎤ ⎢ ⎥⎢ ⎥ 2 2 ⎣ ⎦⎣ ⎦ = ME ( B | A+ ) ME ( B | A−). 2 2 2 2 Therefore ME ( B | A+) ME ( B | A−) > 0 ⇔ INT ( A, B) < ME ( B) . Similarly B against A plot is synergistic if and only if INT ( A, B ) < ME ( A) . 4.3. Substitute (4.3) in (4.10) and arrange the terms to get (4.11). 4.11. (a) ME(Task)=5 (b) Only the main effect of task (C) seems to be significant. The t PSE values are given below A B C A.B A.C B.C A.B.C 0.444 0.222 2.222 0.667 0.000 0.667 0.667 IER.05 = 2.30 . The effect of task is marginally not significant at 5% level. The p value is .055. 12 12 2 (c) Var ( ME (C )) = 1 + 42 + 42 + 42 + 1 + 1 + 4 2 + 12 = 4.25 . 16 16 ( ) ( ) ...
View Full Document

Ask a homework question - tutors are online