chapter 1

Chapter 11: Multifactor Analysis of Variance54. We use Yates’ method for calculating the sums of squares, and for ease of calculation, wedivide each observation by 1000.2( contrast)Condition Total 1 2 Contrast SS =(1) 23.1 66.1 213.5 317.2 -A 43.0 147.4 103.7 20.2 51.005B 71.4 70.2 24.5 44.6 248.645AB 76.0 33.5 -4.3 -12.0 18.000C 37.0 19.9 81.3 -109.8 1507.005AC 33.2 4.6 -36.7 -28.8 103.68BC 17.0 -3.8 -15.3 -118.0 1740.5ABC 16.5 -.5 3.3 18.6 43.2458We assume that there is no three-way interaction, so the MSABC becomes the MSE forANOVA:Source df MS fA 1 51.005 1.179B 1 248.645 5.750*AB 1 18.000 < 1C 1 1507.005 34.848*AC 1 103.68 2.398BC 1 1740.5 40.247*Error 1 43.245Total 8With F 5. 32 , the B and C main effects are significant at the .05 level, as well as the. 05,1,8=BC interaction. We conclude that although binder type (A) is not significant, both amount ofwater (B) and the land disposal scenario (C) affect the leaching characteristics under study.,and there is some interaction between the two factors.346