1 EXAMPLE 19. UNBALANCED TWO-WAY ANOVA: CATALYST DATA 1 15:02 Monday, August 6, 2001 Obs CATALYST BLOCK TIME 1 1 1 73 2 1 2 74 3 1 3 . 4 1 4 71 5 2 1 . 6 2 2 75 7 2 3 67 8 2 4 72 9 3 1 73 10 3 2 75 11 3 3 68 12 3 4 . 13 4 1 75 14 4 2 . 15 4 3 72 16 4 4 75 1 EXAMPLE 19. UNBALANCED TWO-WAY ANOVA: CATALYST DATA 2 15:02 Monday, August 6, 2001 The GLM Procedure Class Level Information Class Levels Values BLOCK 4 1 2 3 4 CATALYST 4 1 2 3 4 Number of observations 16 NOTE: Due to missing values, only 12 observations can be used in this analysis. 1 EXAMPLE 19. UNBALANCED TWO-WAY ANOVA: CATALYST DATA 3 15:02 Monday, August 6, 2001 The GLM Procedure Dependent Variable: TIME Sum of Source DF Squares Mean Square F Value Model 6 77.75000000 12.95833333 19.94 Error 5 3.25000000 0.65000000 Corrected Total 11 81.00000000 Source Pr > F Model 0.0024 Error Corrected Total R-Square Coeff Var Root MSE TIME Mean 0.959877 1.112036 0.806226 72.50000 Source DF Type I SS Mean Square F Value BLOCK 3 55.00000000 18.33333333 28.21 CATALYST 3 22.75000000 7.58333333 11.67 Source Pr > F BLOCK 0.0015 CATALYST 0.0107 Source DF Type III SS Mean Square F Value BLOCK 3 66.08333333 22.02777778 33.89 CATALYST 3 22.75000000 7.58333333 11.67 Source Pr > F BLOCK 0.0010 CATALYST 0.0107 1 EXAMPLE 19. UNBALANCED TWO-WAY ANOVA: CATALYST DATA 4 15:02 Monday, August 6, 2001 The GLM Procedure Least Squares Means Standard CATALYST TIME LSMEAN Error Pr > |t| 1 71.3750000 0.4868051 <.0001 2 71.6250000 0.4868051 <.0001 3 72.0000000 0.4868051 <.0001 4 75.0000000 0.4868051 <.0001 1 EXAMPLE 19. UNBALANCED TWO-WAY ANOVA: CATALYST DATA 5 15:02 Monday, August 6, 2001 The GLM Procedure Dependent Variable: TIME Standard Parameter Estimate Error t Value Pr > |t| C1VSC2 -0.25000000 0.69821200 -0.36 0.7349 C1VSC3 -0.62500000 0.69821200 -0.90 0.4117 C1VSC4 -3.62500000 0.69821200 -5.19 0.0035 C2VSC3 -0.37500000 0.69821200 -0.54 0.6142 C2VSC4 -3.37500000 0.69821200 -4.83 0.0047 C3VSC4 -3.00000000 0.69821200 -4.30 0.0077