General Linear Models Procedure Class Level Information Class Levels Values BLOCK 2 1 2 VAR 2 1 2 FERT 4 1 2 3 4 Number of observations in data set = 16 General Linear Models Procedure Dependent Variable: YIELD Sum of Mean Source DF Squares Square F Value Pr > F Model 11 182.020000 16.547273 7.85 0.0306 Error 4 8.430000 2.107500 Corrected Total 15 190.450000 R-Square C.V. Root MSE YIELD Mean 0.955736 3.609007 1.45172 40.2250 Source DF Type I SS Mean Square F Value Pr > F BLOCK 1 131.102500 131.102500 62.21 0.0014 FERT 3 40.190000 13.396667 6.36 0.0530 BLOCK*FERT 3 6.927500 2.309167 1.10 0.4476 VAR 1 2.250000 2.250000 1.07 0.3599 VAR*FERT 3 1.550000 0.516667 0.25 0.8612 Source DF Type III SS Mean Square F Value Pr > F BLOCK 1 131.102500 131.102500 62.21 0.0014 FERT 3 40.190000 13.396667 6.36 0.0530 BLOCK*FERT 3 6.927500 2.309167 1.10 0.4476 VAR 1 2.250000 2.250000 1.07 0.3599 VAR*FERT 3 1.550000 0.516667 0.25 0.8612 General Linear Models Procedure Source Type III Expected Mean Square BLOCK Var(Error) + 2 Var(BLOCK*FERT) + 8 Var(BLOCK) FERT Var(Error) + 2 Var(BLOCK*FERT) + Q(FERT,VAR*FERT) BLOCK*FERT Var(Error) + 2 Var(BLOCK*FERT) VAR Var(Error) + Q(VAR,VAR*FERT) VAR*FERT Var(Error) + Q(VAR*FERT) General Linear Models Procedure Least Squares Means Standard Errors and Probabilities calculated using the Type III MS for BLOCK*FERT as an Error term FERT YIELD Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 38.8000000 0.7597971 0.0001 1 2 39.8000000 0.7597971 0.0001 2 3 39.4000000 0.7597971 0.0001 3 4 42.9000000 0.7597971 0.0001 4 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 1 . 0.4207 0.6155 0.0317 2 0.4207 . 0.7344 0.0633 3 0.6155 0.7344 . 0.0472 4 0.0317 0.0633 0.0472 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. General Linear Models Procedure Least Squares Means VAR YIELD Std Err Pr > |T| Pr > |T| H0: LSMEAN LSMEAN H0:LSMEAN=0 LSMEAN1=LSMEAN2 1 39.8500000 0.5132616 0.0001 0.3599 2 40.6000000 0.5132616 0.0001 VAR FERT YIELD Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 1 38.5000000 1.0265233 0.0001 1 1 2 39.7000000 1.0265233 0.0001 2 1 3 39.2000000 1.0265233 0.0001 3 1 4 42.0000000 1.0265233 0.0001 4 2 1 39.1000000 1.0265233 0.0001 5 2 2 39.9000000 1.0265233 0.0001 6 2 3 39.6000000 1.0265233 0.0001 7 2 4 43.8000000 1.0265233 0.0001 8 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 6 7 8 1 . 0.4549 0.6549 0.0735 0.7006 0.3895 0.4908 0.0218 2 0.4549 . 0.7479 0.1883 0.7006 0.8971 0.9484 0.0476 3 0.6549 0.7479 . 0.1260 0.9484 0.6549 0.7966 0.0339 4 0.0735 0.1883 0.1260 . 0.1164 0.2216 0.1736 0.2828 5 0.7006 0.7006 0.9484 0.1164 . 0.6109 0.7479 0.0317 6 0.3895 0.8971 0.6549 0.2216 0.6109 . 0.8464 0.0549 7 0.4908 0.9484 0.7966 0.1736 0.7479 0.8464 . 0.0444 8 0.0218 0.0476 0.0339 0.2828 0.0317 0.0549 0.0444 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. General Linear Models Procedure Dependent Variable: YIELD Tests of Hypotheses using the Type III MS for BLOCK*FERT as an error term Source DF Type III SS Mean Square F Value Pr > F BLOCK 1 131.102500 131.102500 56.77 0.0048 FERT 3 40.190000 13.396667 5.80 0.0914 The MIXED Procedure Class Level Information Class Levels Values BLOCK 2 1 2 VAR 2 1 2 FERT 4 1 2 3 4 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 36.80366394 1 1 23.91382668 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| BLOCK 7.63898774 16.09916667 23.17706499 0.69 0.4873 BLOCK*FERT 0.04784500 0.10083333 1.20162514 0.08 0.9331 Residual 1.00000000 2.10750000 1.49022754 1.41 0.1573 The MIXED Procedure Model Fitting Information for YIELD Description Value Observations 16.0000 Variance Estimate 2.1075 Standard Deviation Estimate 1.4517 REML Log Likelihood -19.3084 Akaike's Information Criterion -22.3084 Schwarz's Bayesian Criterion -22.4276 -2 REML Log Likelihood 38.6168 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F FERT 3 3 5.80 0.0914 VAR 1 4 1.07 0.3599 VAR*FERT 3 4 0.25 0.8612 The MIXED Procedure Least Squares Means Level LSMEAN Std Error DDF T Pr > |T| FERT 1 38.80000000 2.93715423 4 13.21 0.0002 FERT 2 39.80000000 2.93715423 4 13.55 0.0002 FERT 3 39.40000000 2.93715423 4 13.41 0.0002 FERT 4 42.90000000 2.93715423 4 14.61 0.0001 VAR 1 39.85000000 2.88541591 4 13.81 0.0002 VAR 2 40.60000000 2.88541591 4 14.07 0.0001 VAR*FERT 1 1 38.50000000 3.02551648 4 12.73 0.0002 VAR*FERT 1 2 39.70000000 3.02551648 4 13.12 0.0002 VAR*FERT 1 3 39.20000000 3.02551648 4 12.96 0.0002 VAR*FERT 1 4 42.00000000 3.02551648 4 13.88 0.0002 VAR*FERT 2 1 39.10000000 3.02551648 4 12.92 0.0002 VAR*FERT 2 2 39.90000000 3.02551648 4 13.19 0.0002 VAR*FERT 2 3 39.60000000 3.02551648 4 13.09 0.0002 VAR*FERT 2 4 43.80000000 3.02551648 4 14.48 0.0001