Worksheet size: 40000000 cells MTB > info Information on the Worksheet Column Count Name C1 16 interactions C2 16 nationality C3 16 team size C4 16 observer C5 16 replication MTB > print c1-c5 Data Display Row interactions nationality team size observer replication 1 16 1 1 1 1 2 20 1 1 1 2 3 14 1 1 2 1 4 19 1 1 2 2 5 7 2 1 1 1 6 5 2 1 1 2 7 4 2 1 2 1 8 9 2 1 2 2 9 21 1 2 1 1 10 25 1 2 1 2 11 28 1 2 2 1 12 19 1 2 2 2 13 11 2 2 1 1 14 17 2 2 1 2 15 12 2 2 2 1 16 15 2 2 2 2 MTB > anova c1 = c2|c3 + c4(c2); SUBC> random c4; SUBC> restrict; SUBC> ems. Analysis of Variance (Balanced Designs) Factor Type Levels Values national fixed 2 1 2 team siz fixed 2 1 2 observer(national) random 2 1 2 Analysis of Variance for interact Source DF SS MS F P national 1 420.25 420.25 1681.00 0.001 team siz 1 182.25 182.25 16.80 0.002 national*team siz 1 2.25 2.25 0.21 0.659 observer(national) 2 0.50 0.25 0.02 0.977 Error 10 108.50 10.85 Total 15 713.75 Source Variance Error Expected Mean Square for Each Term component term (using restricted model) 1 national 4 (5) + 4(4) + 8Q[1] 2 team siz 5 (5) + 8Q[2] 3 national*team siz 5 (5) + 4Q[3] 4 observer(national) -2.650 5 (5) + 4(4) 5 Error 10.850 (5) MTB > anova c1 = c2|c3 + c4(c2) + c3*c4(c2); SUBC> random c4; SUBC> restrict; SUBC> ems. Analysis of Variance (Balanced Designs) Factor Type Levels Values national fixed 2 1 2 team siz fixed 2 1 2 observer(national) random 2 1 2 Analysis of Variance for interact Source DF SS MS F P national 1 420.25 420.25 1681.00 0.001 team siz 1 182.25 182.25 145.80 0.007 national*team siz 1 2.25 2.25 1.80 0.312 observer(national) 2 0.50 0.25 0.02 0.981 team siz*observer(national) 2 2.50 1.25 0.09 0.911 Error 8 106.00 13.25 Total 15 713.75 Source Variance Error Expected Mean Square for Each Term component term (using restricted model) 1 national 4 (6) + 4(4) + 8Q[1] 2 team siz 5 (6) + 2(5) + 8Q[2] 3 national*team siz 5 (6) + 2(5) + 4Q[3] 4 observer(national) -3.250 6 (6) + 4(4) 5 team siz*observer(national) -6.000 6 (6) + 2(5) 6 Error 13.250 (6) MTB > # try to take apart MTB > anova c1 = c2|c3 Analysis of Variance (Balanced Designs) Factor Type Levels Values national fixed 2 1 2 team siz fixed 2 1 2 Analysis of Variance for interact Source DF SS MS F P national 1 420.25 420.25 46.27 0.000 team siz 1 182.25 182.25 20.06 0.001 national*team siz 1 2.25 2.25 0.25 0.628 Error 12 109.00 9.08 Total 15 713.75 MTB > # create within country data MTB > Copy c1-c5 c11-c15; SUBC> Use 'nationality' = 1. MTB > MTB > Copy c1-c5 c21-c25; SUBC> Use 'nationality' = 2. MTB > anova c11 = c13|c14; SUBC> random c14; SUBC> restrict. Analysis of Variance (Balanced Designs) Factor Type Levels Values C13 fixed 2 1 2 C14 random 2 1 2 Analysis of Variance for C11 Source DF SS MS F P C13 1 72.00 72.00 36.00 0.105 C14 1 0.50 0.50 0.03 0.873 C13*C14 1 2.00 2.00 0.12 0.751 Error 4 69.00 17.25 Total 7 143.50 MTB > anova c21 = c23|c24; SUBC> random c24; SUBC> restrict. Analysis of Variance (Balanced Designs) Factor Type Levels Values C23 fixed 2 1 2 C24 random 2 1 2 Analysis of Variance for C21 Source DF SS MS F P C23 1 112.500 112.500 225.00 0.042 C24 1 0.000 0.000 0.00 1.000 C23*C24 1 0.500 0.500 0.05 0.828 Error 4 37.000 9.250 Total 7 150.000 MTB >