16:41 Tuesday, April 18, 1995 General Linear Models Procedure Class Level Information Class Levels Values TRAY 12 1 2 3 4 5 6 7 8 9 10 11 12 FERT 4 2 4 6 8 MOIST 4 10 20 30 40 Number of observations in data set = 48 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Dependent Variable: YIELD Sum of Mean Source DF Squares Square F Value Pr > F Model 23 631.55136465 27.45875498 36.51 0.0001 Error 24 18.05134046 0.75213919 Corrected Total 47 649.60270511 R-Square C.V. Root MSE YIELD Mean 0.972212 10.26321 0.8672596 8.4501779 Source DF Type I SS Mean Square F Value Pr > F MOIST 3 269.18954958 89.72984986 119.30 0.0001 TRAY(MOIST) 8 27.25151818 3.40643977 4.53 0.0019 FERT 3 297.05400268 99.01800089 131.65 0.0001 FERT*MOIST 9 38.05629421 4.22847713 5.62 0.0003 16:41 Tuesday, April 18, 1995 General Linear Models Procedure T tests (LSD) for variable: YIELD NOTE: This test controls the type I comparisonwise error rate not the experimentwise error rate. Alpha= 0.05 df= 8 MSE= 3.40644 Critical Value of T= 2.31 Least Significant Difference= 1.7375 Means with the same letter are not significantly different. T Grouping Mean N MOIST A 10.9662 12 30 B A 9.6832 12 20 B 8.5191 12 40 C 4.6322 12 10 16:41 Tuesday, April 18, 1995 General Linear Models Procedure T tests (LSD) for variable: YIELD NOTE: This test controls the type I comparisonwise error rate not the experimentwise error rate. Alpha= 0.05 df= 24 MSE= 0.752139 Critical Value of T= 2.06 Least Significant Difference= 0.7307 Means with the same letter are not significantly different. T Grouping Mean N FERT A 11.8905 12 8 B 9.5860 12 6 C 6.9233 12 4 D 5.4010 12 2 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Least Squares Means FERT MOIST YIELD Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 2 10 3.1220133 0.5007126 0.0001 1 2 20 5.9710767 0.5007126 0.0001 2 2 30 6.7150900 0.5007126 0.0001 3 2 40 5.7957333 0.5007126 0.0001 4 4 10 4.0993333 0.5007126 0.0001 5 4 20 7.8271000 0.5007126 0.0001 6 4 30 9.4361000 0.5007126 0.0001 7 4 40 6.3306667 0.5007126 0.0001 8 6 10 5.1825000 0.5007126 0.0001 9 6 20 10.6988333 0.5007126 0.0001 10 6 30 12.2790333 0.5007126 0.0001 11 6 40 10.1835667 0.5007126 0.0001 12 8 10 6.1250000 0.5007126 0.0001 13 8 20 14.2358333 0.5007126 0.0001 14 8 30 15.4346667 0.5007126 0.0001 15 8 40 11.7663000 0.5007126 0.0001 16 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 6 7 8 9 1 . 0.0005 0.0001 0.0009 0.1803 0.0001 0.0001 0.0001 0.0077 2 0.0005 . 0.3039 0.8065 0.0142 0.0150 0.0001 0.6162 0.2765 3 0.0001 0.3039 . 0.2065 0.0011 0.1294 0.0008 0.5922 0.0406 4 0.0009 0.8065 0.2065 . 0.0247 0.0085 0.0001 0.4573 0.3951 5 0.1803 0.0142 0.0011 0.0247 . 0.0001 0.0001 0.0043 0.1392 6 0.0001 0.0150 0.1294 0.0085 0.0001 . 0.0323 0.0452 0.0010 7 0.0001 0.0001 0.0008 0.0001 0.0001 0.0323 . 0.0002 0.0001 8 0.0001 0.6162 0.5922 0.4573 0.0043 0.0452 0.0002 . 0.1180 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Least Squares Means Least Squares Means for effect FERT*MOIST Pr > |T| H0: LSMEAN(i)=LSMEAN(j) Dependent Variable: YIELD i/j 1 2 3 4 5 6 7 8 9 9 0.0077 0.2765 0.0406 0.3951 0.1392 0.0010 0.0001 0.1180 . 10 0.0001 0.0001 0.0001 0.0001 0.0001 0.0005 0.0872 0.0001 0.0001 11 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0005 0.0001 0.0001 12 0.0001 0.0001 0.0001 0.0001 0.0001 0.0028 0.3017 0.0001 0.0001 13 0.0003 0.8298 0.4129 0.6461 0.0086 0.0243 0.0001 0.7740 0.1957 14 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 15 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 16 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 0.0031 0.0001 0.0001 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 10 11 12 13 14 15 16 1 0.0001 0.0001 0.0001 0.0003 0.0001 0.0001 0.0001 2 0.0001 0.0001 0.0001 0.8298 0.0001 0.0001 0.0001 3 0.0001 0.0001 0.0001 0.4129 0.0001 0.0001 0.0001 4 0.0001 0.0001 0.0001 0.6461 0.0001 0.0001 0.0001 5 0.0001 0.0001 0.0001 0.0086 0.0001 0.0001 0.0001 6 0.0005 0.0001 0.0028 0.0243 0.0001 0.0001 0.0001 7 0.0872 0.0005 0.3017 0.0001 0.0001 0.0001 0.0031 8 0.0001 0.0001 0.0001 0.7740 0.0001 0.0001 0.0001 9 0.0001 0.0001 0.0001 0.1957 0.0001 0.0001 0.0001 10 . 0.0352 0.4739 0.0001 0.0001 0.0001 0.1447 11 0.0352 . 0.0068 0.0001 0.0108 0.0002 0.4760 12 0.4739 0.0068 . 0.0001 0.0001 0.0001 0.0350 13 0.0001 0.0001 0.0001 . 0.0001 0.0001 0.0001 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Least Squares Means Least Squares Means for effect FERT*MOIST Pr > |T| H0: LSMEAN(i)=LSMEAN(j) Dependent Variable: YIELD i/j 10 11 12 13 14 15 16 14 0.0001 0.0108 0.0001 0.0001 . 0.1034 0.0019 15 0.0001 0.0002 0.0001 0.0001 0.1034 . 0.0001 16 0.1447 0.4760 0.0350 0.0001 0.0019 0.0001 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Dependent Variable: YIELD Tests of Hypotheses using the Type I MS for TRAY(MOIST) as an error term Source DF Type I SS Mean Square F Value Pr > F MOIST 3 269.18954958 89.72984986 26.34 0.0002 16:41 Tuesday, April 18, 1995 Plot of LSMEAN*FERT. Symbol is value of MOIST. LSMEAN | 17.5 + | | | 3 15.0 + | 2 | | 12.5 + 3 | 4 | | 2 10.0 + 4 | 3 | | 2 7.5 + | 3 | 2 4 1 | 4 5.0 + 1 | 1 | | 1 2.5 + ---+-----------------+-----------------+-----------------+-- 2 4 6 8 FERT 16:41 Tuesday, April 18, 1995 Plot of LSMEAN*MOIST. Symbol is value of FERT. LSMEAN | 17.5 + | | | 8 15.0 + | 8 | | 12.5 + 6 | 8 | | 6 10.0 + 6 | 4 | | 4 7.5 + | 2 | 8 2 4 | 2 5.0 + 6 | 4 | | 2 2.5 + ---+-----------------+-----------------+-----------------+-- 10 20 30 40 MOIST 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Class Level Information Class Levels Values TRAY 12 1 2 3 4 5 6 7 8 9 10 11 12 FERT 4 2 4 6 8 MOIST 4 10 20 30 40 Number of observations in data set = 48 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Dependent Variable: YIELD Sum of Mean Source DF Squares Square F Value Pr > F Model 23 631.55136465 27.45875498 36.51 0.0001 Error 24 18.05134046 0.75213919 Corrected Total 47 649.60270511 R-Square C.V. Root MSE YIELD Mean 0.972212 10.26321 0.8672596 8.4501779 Source DF Type I SS Mean Square F Value Pr > F WETLIN 1 100.52170616 100.52170616 133.65 0.0001 WETQUAD 1 168.66698521 168.66698521 224.25 0.0001 MOIST 1 0.00085821 0.00085821 0.00 0.9733 TRAY(MOIST) 8 27.25151818 3.40643977 4.53 0.0019 FERTLIN 1 293.87130806 293.87130806 390.71 0.0001 FERTQUAD 1 1.83525240 1.83525240 2.44 0.1314 FERT 1 1.34744221 1.34744221 1.79 0.1933 FERT*MOIST 9 38.05629421 4.22847713 5.62 0.0003 16:41 Tuesday, April 18, 1995 General Linear Models Procedure Dependent Variable: YIELD Tests of Hypotheses using the Type I MS for TRAY(MOIST) as an error term Source DF Type I SS Mean Square F Value Pr > F WETLIN 1 100.52170616 100.52170616 29.51 0.0006 WETQUAD 1 168.66698521 168.66698521 49.51 0.0001 MOIST 1 0.00085821 0.00085821 0.00 0.9877 16:41 Tuesday, April 18, 1995 The MIXED Procedure Class Level Information Class Levels Values TRAY 12 1 2 3 4 5 6 7 8 9 10 11 12 FERT 4 2 4 6 8 MOIST 4 10 20 30 40 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 60.70209205 1 1 52.54712491 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| TRAY(MOIST) 0.88225047 0.66357515 0.42925086 1.55 0.1221 Residual 1.00000000 0.75213919 0.21712388 3.46 0.0005 16:41 Tuesday, April 18, 1995 The MIXED Procedure Model Fitting Information for YIELD Description Value Observations 48.0000 Variance Estimate 0.7521 Standard Deviation Estimate 0.8673 REML Log Likelihood -55.6796 Akaike's Information Criterion -57.6796 Schwarz's Bayesian Criterion -59.1453 -2 REML Log Likelihood 111.3592 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F MOIST 3 8 26.34 0.0002 FERT 3 24 131.65 0.0000 FERT*MOIST 9 24 5.62 0.0003 The MIXED Procedure ESTIMATE Statement Results Parameter Estimate Std Error DDF T Pr > |T| fert linear 1.10655492 0.05598137 24 19.77 0.0000 16:41 Tuesday, April 18, 1995 The MIXED Procedure ESTIMATE Statement Results Parameter Estimate Std Error DDF T Pr > |T| fert quadratic -0.19553625 0.12517814 24 -1.56 0.1314 moist linear 0.64717883 0.11913647 24 5.43 0.0000 moist quadratic 1.87453875 0.26639725 24 7.04 0.0000 The MIXED Procedure Least Squares Means Level LSMEAN Std Error DDF T Pr > |T| FERT*MOIST 2 10 3.12201333 0.68695326 24 4.54 0.0001 FERT*MOIST 2 20 5.97107667 0.68695326 24 8.69 0.0000 FERT*MOIST 2 30 6.71509000 0.68695326 24 9.78 0.0000 FERT*MOIST 2 40 5.79573333 0.68695326 24 8.44 0.0000 FERT*MOIST 4 10 4.09933333 0.68695326 24 5.97 0.0000 FERT*MOIST 4 20 7.82710000 0.68695326 24 11.39 0.0000 FERT*MOIST 4 30 9.43610000 0.68695326 24 13.74 0.0000 FERT*MOIST 4 40 6.33066667 0.68695326 24 9.22 0.0000 FERT*MOIST 6 10 5.18250000 0.68695326 24 7.54 0.0000 FERT*MOIST 6 20 10.69883333 0.68695326 24 15.57 0.0000 FERT*MOIST 6 30 12.27903333 0.68695326 24 17.87 0.0000 FERT*MOIST 6 40 10.18356667 0.68695326 24 14.82 0.0000 FERT*MOIST 8 10 6.12500000 0.68695326 24 8.92 0.0000 FERT*MOIST 8 20 14.23583333 0.68695326 24 20.72 0.0000 FERT*MOIST 8 30 15.43466667 0.68695326 24 22.47 0.0000 FERT*MOIST 8 40 11.76630000 0.68695326 24 17.13 0.0000 16:41 Tuesday, April 18, 1995 Plot of LSMEAN*FERT. Symbol is value of MOIST. | 17.50000000 + | | | 3 15.00000000 + | 2 | | 12.50000000 + 3 L | 4 S | M | 2 E 10.00000000 + 4 A | 3 N | | 2 7.50000000 + | 3 | 2 4 1 | 4 5.00000000 + 1 | 1 | | 1 2.50000000 + ---+---------------+---------------+---------------+-- 2 4 6 8 FERT 16:41 Tuesday, April 18, 1995 Plot of LSMEAN*MOIST. Symbol is value of FERT. | 17.50000000 + | | | 8 15.00000000 + | 8 | | 12.50000000 + 6 L | 8 S | M | 6 E 10.00000000 + 6 A | 4 N | | 4 7.50000000 + | 2 | 8 2 4 | 2 5.00000000 + 6 | 4 | | 2 2.50000000 + ---+---------------+---------------+---------------+-- 10 20 30 40 MOIST