Kuehl -- Example 11.2 -- Partial Confounding in a 2**3 Factorial The GLM Procedure Class Level Information Class Levels Values rep 3 1 2 3 block 6 1 2 3 4 5 6 a 2 0 1 b 2 0 1 c 2 0 1 Number of Observations Read 24 Number of Observations Used 24 Kuehl -- Example 11.2 -- Partial Confounding in a 2**3 Factorial The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 12 1153.500000 96.125000 6.51 0.0020 Error 11 162.500000 14.772727 Corrected Total 23 1316.000000 R-Square Coeff Var Root MSE y Mean 0.876520 10.53022 3.843531 36.50000 Source DF Type I SS Mean Square F Value Pr > F rep 2 111.0000000 55.5000000 3.76 0.0571 block(rep) 3 108.0000000 36.0000000 2.44 0.1196 a 1 600.0000000 600.0000000 40.62 <.0001 b 1 253.5000000 253.5000000 17.16 0.0016 c 1 54.0000000 54.0000000 3.66 0.0823 a*b 1 6.2500000 6.2500000 0.42 0.5288 a*c 1 1.0000000 1.0000000 0.07 0.7995 b*c 1 6.2500000 6.2500000 0.42 0.5288 a*b*c 1 13.5000000 13.5000000 0.91 0.3596 Source DF Type III SS Mean Square F Value Pr > F rep 2 111.0000000 55.5000000 3.76 0.0571 block(rep) 3 46.5000000 15.5000000 1.05 0.4094 a 1 600.0000000 600.0000000 40.62 <.0001 b 1 253.5000000 253.5000000 17.16 0.0016 c 1 54.0000000 54.0000000 3.66 0.0823 a*b 1 6.2500000 6.2500000 0.42 0.5288 a*c 1 1.0000000 1.0000000 0.07 0.7995 b*c 1 6.2500000 6.2500000 0.42 0.5288 a*b*c 1 13.5000000 13.5000000 0.91 0.3596 Kuehl -- Example 11.2 -- Partial Confounding in a 2**3 Factorial The GLM Procedure t Tests (LSD) for y NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 11 Error Mean Square 14.77273 Critical Value of t 2.20099 Least Significant Difference 3.4536 Means with the same letter are not significantly different. t Grouping Mean N a A 41.500 12 1 B 31.500 12 0 Kuehl -- Example 11.2 -- Partial Confounding in a 2**3 Factorial The GLM Procedure t Tests (LSD) for y NOTE: This test controls the Type I comparisonwise error rate, not the experimentwise error rate. Alpha 0.05 Error Degrees of Freedom 11 Error Mean Square 14.77273 Critical Value of t 2.20099 Least Significant Difference 3.4536 Means with the same letter are not significantly different. t Grouping Mean N b A 39.750 12 1 B 33.250 12 0