An experiment was conducted as an Analysis of Covariance to measure the effect of an experimental Catment on acne ( decrement in skin microorganism). The experimental group received cosmetics with Purified Bee Venom (PBV), and the control group received cosmetics without PBV. Baseline scores (X) were obtained, as well as post-treatment scores (Y). There were 6 subjects in the experimental group, and 6 in the control group. The model is written as: Model 1: E { Y, } = Bo + B, ( X , - X. ) + y Wits (x, - X. ) WW where Wy = 1 if Subject is in the Experimental Group, 0 if in Control Group Model 2: E (Y, ) = Bo + B (x , - X. ) +Ww p.4.a. The following summary was obtained for Model 1. Test whether there is a significant interaction between group. the covariate and treatment. That is, does the slope between post-treatment and baseline differ by treatment Coefficients andard Err( t Stat 435 Intercept 17.185 4.712 3.647 478 Xcenter 3.333 7.053 1.610 W 2.070 6.330 9.733 6.663 -1.461 5.895 XCW -2.531 2.081 5 606 -1.216 5.399 5 244 5.12 5.02 Ho: Test Stat: Rejection Region: P-value 0.05 p.4.b. The following summary was obtained for Model 2. Test whether there is a significant treatment effect, controlling for the covariate Coefficients andard Err t Stat Intercept 16,968 4.833 3.511 Xcenter 1.818 1.047 1.736 4.38 W -9.662 6.838 -1.413 Ho: Test Stat: Rejection Region: P-value 0.05 p.4.c. Compute the Adjusted means for each group