General Linear Models Procedure Class Level Information Class Levels Values SET 4 1 2 3 4 NITRO 3 1 2 3 IRRIG 2 1 2 Number of observations in data set = 24 General Linear Models Procedure Dependent Variable: YIELD Sum of Mean Source DF Squares Square F Value Pr > F Model 17 1177.3750000 69.2573529 48.41 0.0001 Error 6 8.5833333 1.4305556 Corrected Total 23 1185.9583333 R-Square C.V. Root MSE YIELD Mean 0.992763 1.650684 1.1960583 72.458333 Source DF Type I SS Mean Square F Value Pr > F SET 3 123.45833333 41.15277778 28.77 0.0006 NITRO 2 339.08333333 169.54166667 118.51 0.0001 SET*NITRO 6 16.91666667 2.81944444 1.97 0.2147 IRRIG 1 570.37500000 570.37500000 398.71 0.0001 SET*IRRIG 3 32.79166667 10.93055556 7.64 0.0179 NITRO*IRRIG 2 94.75000000 47.37500000 33.12 0.0006 Source DF Type III SS Mean Square F Value Pr > F SET 3 123.45833333 41.15277778 28.77 0.0006 NITRO 2 339.08333333 169.54166667 118.51 0.0001 SET*NITRO 6 16.91666667 2.81944444 1.97 0.2147 IRRIG 1 570.37500000 570.37500000 398.71 0.0001 SET*IRRIG 3 32.79166667 10.93055556 7.64 0.0179 NITRO*IRRIG 2 94.75000000 47.37500000 33.12 0.0006 Tests of Hypotheses using the Type III MS for SET*NITRO as an error term Source DF Type III SS Mean Square F Value Pr > F NITRO 2 339.08333333 169.54166667 60.13 0.0001 Tests of Hypotheses using the Type III MS for SET*IRRIG as an error term Source DF Type III SS Mean Square F Value Pr > F IRRIG 1 570.37500000 570.37500000 52.18 0.0055 General Linear Models Procedure Source Type III Expected Mean Square SET Var(Error) + 3 Var(SET*IRRIG) + 2 Var(SET*NITRO) + 6 Var(SET) NITRO Var(Error) + 2 Var(SET*NITRO) + Q(NITRO,NITRO*IRRIG) SET*NITRO Var(Error) + 2 Var(SET*NITRO) IRRIG Var(Error) + 3 Var(SET*IRRIG) + Q(IRRIG,NITRO*IRRIG) SET*IRRIG Var(Error) + 3 Var(SET*IRRIG) NITRO*IRRIG Var(Error) + Q(NITRO*IRRIG) General Linear Models Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: YIELD Source: SET Error: MS(SET*NITRO) + MS(SET*IRRIG) - MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 3 41.152777778 3.66 12.319444444 3.3405 0.1479 Source: NITRO * Error: MS(SET*NITRO) Denominator Denominator DF Type III MS DF MS F Value Pr > F 2 169.54166667 6 2.8194444444 60.1330 0.0001 * - This test assumes one or more other fixed effects are zero. Source: SET*NITRO Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 6 2.8194444444 6 1.4305555556 1.9709 0.2147 Source: IRRIG * Error: MS(SET*IRRIG) Denominator Denominator DF Type III MS DF MS F Value Pr > F 1 570.375 3 10.930555556 52.1817 0.0055 * - This test assumes one or more other fixed effects are zero. Source: SET*IRRIG Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 3 10.930555556 6 1.4305555556 7.6408 0.0179 Source: NITRO*IRRIG Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 2 47.375 6 1.4305555556 33.1165 0.0006 Least Squares Means Standard Errors and Probabilities calculated using the Type III MS for SET*NITRO as an Error term NITRO YIELD Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 68.2500000 0.5936586 0.0001 1 2 71.7500000 0.5936586 0.0001 2 3 77.3750000 0.5936586 0.0001 3 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 1 . 0.0059 0.0001 2 0.0059 . 0.0005 3 0.0001 0.0005 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Least Squares Means Standard Errors and Probabilities calculated using the Type III MS for SET*IRRIG as an Error term IRRIG YIELD Std Err Pr > |T| Pr > |T| H0: LSMEAN LSMEAN H0:LSMEAN=0 LSMEAN1=LSMEAN2 1 67.5833333 0.9544001 0.0001 0.0055 2 77.3333333 0.9544001 0.0001 Least Squares Means NITRO IRRIG YIELD Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 1 61.5000000 0.5980292 0.0001 1 1 2 75.0000000 0.5980292 0.0001 2 2 1 66.0000000 0.5980292 0.0001 3 2 2 77.5000000 0.5980292 0.0001 4 3 1 75.2500000 0.5980292 0.0001 5 3 2 79.5000000 0.5980292 0.0001 6 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 6 1 . 0.0001 0.0018 0.0001 0.0001 0.0001 2 0.0001 . 0.0001 0.0254 0.7775 0.0018 3 0.0018 0.0001 . 0.0001 0.0001 0.0001 4 0.0001 0.0254 0.0001 . 0.0375 0.0559 5 0.0001 0.7775 0.0001 0.0375 . 0.0024 6 0.0001 0.0018 0.0001 0.0559 0.0024 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. The MIXED Procedure Class Level Information Class Levels Values SET 4 1 2 3 4 NITRO 3 1 2 3 IRRIG 2 1 2 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 67.93845262 1 1 53.01194322 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| SET 3.35922330 4.80555556 5.80233995 0.83 0.4076 SET*NITRO 0.48543689 0.69444444 0.91267721 0.76 0.4467 SET*IRRIG 2.21359223 3.16666667 2.98763240 1.06 0.2892 Residual 1.00000000 1.43055556 0.82593164 1.73 0.0833 The MIXED Procedure Model Fitting Information for YIELD Description Value Observations 24.0000 Variance Estimate 1.4306 Standard Deviation Estimate 1.1961 REML Log Likelihood -43.0469 Akaike's Information Criterion -47.0469 Schwarz's Bayesian Criterion -48.8276 The MIXED Procedure Model Fitting Information for YIELD Description Value -2 REML Log Likelihood 86.0937 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F NITRO 2 6 60.13 0.0001 IRRIG 1 3 52.18 0.0055 NITRO*IRRIG 2 6 33.12 0.0006 The MIXED Procedure ESTIMATE Statement Results Parameter Estimate Std Error DDF T Pr > |T| irrig -9.75000000 1.34972562 3 -7.22 0.0055 irrig at n1 -13.50000000 1.51611712 6 -8.90 0.0001 irrig at n2 -11.50000000 1.51611712 6 -7.59 0.0003 irrig at n3 -4.25000000 1.51611712 6 -2.80 0.0310 nitro 1 v 2 -3.50000000 0.83956007 6 -4.17 0.0059 nitro 1 v 3 -9.12500000 0.83956007 6 -10.87 0.0000 nitro 2 v 3 -5.62500000 0.83956007 6 -6.70 0.0005 The MIXED Procedure CONTRAST Statement Results Source NDF DDF F Pr > F nitro at i1 2 6 92.51 0.0000 nitro at i2 2 6 9.57 0.0136 The MIXED Procedure Least Squares Means Level LSMEAN Std Error DDF T Pr > |T| NITRO*IRRIG 1 1 61.50000000 1.58880633 6 38.71 0.0000 NITRO*IRRIG 1 2 75.00000000 1.58880633 6 47.21 0.0000 NITRO*IRRIG 2 1 66.00000000 1.58880633 6 41.54 0.0000 NITRO*IRRIG 2 2 77.50000000 1.58880633 6 48.78 0.0000 NITRO*IRRIG 3 1 75.25000000 1.58880633 6 47.36 0.0000 NITRO*IRRIG 3 2 79.50000000 1.58880633 6 50.04 0.0000 Plot of LSMEAN*NITRO. Symbol is value of IRRIG. | | 80.00000000 + | 2 | | 77.50000000 + 2 | | | 75.00000000 + 2 1 | | | 72.50000000 + L | S | M | E 70.00000000 + A | N | | 67.50000000 + | | 1 | 65.00000000 + | | | 62.50000000 + | | 1 | 60.00000000 + | ---+---------------------+---------------------+-- 1 2 3 NITRO