The article “An Assessment of the Effects of Treatment, Time, and Heat on the Removal of Erasable Pen Marks from Cotton and Cotton/Polyester Blend Fabrics (J. of Testing and Eval., 1991: 394–397) reports the following sums of squares for the response variable degree of removal of marks:

and . Four different laundry treatments, three different types of pen, and six different fabrics were used in the experiment, and there were three observations SSE 5 115.820 1.432, SSAC 5 15.953, SSBC 5 1.382, SSABC 5 9.016, SSA 5 39.171, SSB 5 .665, SSC 5 21.508, SSAB 5 H0C: sC 2 5 0 H0A: sA 2 5 0, H0B: sB 2 5 0 5 s2 1 Ns E(MSE) 5 s2 C 2 E(MSC)

5 s2 1 NsB 2 5 s , 2 1 NsA 2 E(MSA) , E(M for each treatment-pen-fabric combination. Perform an analysis of variance using for each test, and state your conclusions (assume fixed effects for all three factors).