SPR=1 General Linear Models Procedure Class Level Information Class Levels Values COW 5 675 3135 3241 3252 3286 TRT 5 1 2 3 4 5 PR 5 1 2 3 4 5 SPR 1 1 CARRY 6 0 1 2 3 4 5 Number of observations in by group = 25 NOTE: Due to missing values, only 24 observations can be used in this analysis. SPR=1 General Linear Models Procedure Dependent Variable: BCAA Sum of Mean Source DF Squares Square F Value Pr > F Model 16 582635.50031 36414.71877 17.76 0.0004 Error 7 14352.07427 2050.29632 Corrected Total 23 596987.57458 R-Square C.V. Root MSE BCAA Mean 0.975959 10.92197 45.280198 414.57917 Source DF Type I SS Mean Square F Value Pr > F COW 4 23889.78171 5972.44543 2.91 0.1032 TRT 4 495414.41728 123853.60432 60.41 0.0001 PR 4 45343.90880 11335.97720 5.53 0.0249 CARRY 4 17987.39252 4496.84813 2.19 0.1716 Source DF Type III SS Mean Square F Value Pr > F COW 4 18763.00797 4690.75199 2.29 0.1599 TRT 4 281294.08335 70323.52084 34.30 0.0001 PR 3 22730.33750 7576.77917 3.70 0.0701 CARRY 4 17987.39252 4496.84813 2.19 0.1716 SPR=1 General Linear Models Procedure Least Squares Means TRT BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est PR BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est SPR=2 General Linear Models Procedure Class Level Information Class Levels Values COW 5 675 3135 3241 3252 3286 TRT 5 1 2 3 4 5 PR 5 1 2 3 4 5 SPR 1 2 CARRY 6 0 1 2 3 4 5 Number of observations in by group = 25 NOTE: Due to missing values, only 24 observations can be used in this analysis. SPR=2 General Linear Models Procedure Dependent Variable: BCAA Sum of Mean Source DF Squares Square F Value Pr > F Model 16 29040.498227 1815.031139 3.47 0.0508 Error 7 3658.291356 522.613051 Corrected Total 23 32698.789583 R-Square C.V. Root MSE BCAA Mean 0.888122 10.21347 22.860732 223.82917 Source DF Type I SS Mean Square F Value Pr > F COW 4 11000.175708 2750.043927 5.26 0.0282 TRT 4 6285.672531 1571.418133 3.01 0.0970 PR 4 11170.792844 2792.698211 5.34 0.0271 CARRY 4 583.857144 145.964286 0.28 0.8824 Source DF Type III SS Mean Square F Value Pr > F COW 4 7901.3550519 1975.3387630 3.78 0.0605 TRT 4 2073.7287030 518.4321758 0.99 0.4707 PR 3 7618.1323750 2539.3774583 4.86 0.0391 CARRY 4 583.8571438 145.9642860 0.28 0.8824 SPR=2 General Linear Models Procedure Least Squares Means TRT BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est PR BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est SPR=3 General Linear Models Procedure Class Level Information Class Levels Values COW 5 675 3135 3241 3252 3286 TRT 5 1 2 3 4 5 PR 5 1 2 3 4 5 SPR 1 3 CARRY 6 0 1 2 3 4 5 Number of observations in by group = 25 NOTE: Due to missing values, only 24 observations can be used in this analysis. SPR=3 General Linear Models Procedure Dependent Variable: BCAA Sum of Mean Source DF Squares Square F Value Pr > F Model 16 37596.941393 2349.808837 2.10 0.1615 Error 7 7820.688190 1117.241170 Corrected Total 23 45417.629583 R-Square C.V. Root MSE BCAA Mean 0.827805 16.58782 33.425158 201.50417 Source DF Type I SS Mean Square F Value Pr > F COW 4 17115.257708 4278.814427 3.83 0.0588 TRT 4 9550.893781 2387.723445 2.14 0.1790 PR 4 5591.722969 1397.930742 1.25 0.3723 CARRY 4 5339.066935 1334.766734 1.19 0.3916 Source DF Type III SS Mean Square F Value Pr > F COW 4 15673.100412 3918.275103 3.51 0.0710 TRT 4 6592.707764 1648.176941 1.48 0.3061 PR 3 5085.697500 1695.232500 1.52 0.2918 CARRY 4 5339.066935 1334.766734 1.19 0.3916 SPR=3 General Linear Models Procedure Least Squares Means TRT BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est PR BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est 4 Non-est 5 Non-est General Linear Models Procedure Class Level Information Class Levels Values COW 5 675 3135 3241 3252 3286 TRT 5 1 2 3 4 5 PR 5 1 2 3 4 5 SPR 3 1 2 3 Number of observations in data set = 75 NOTE: Due to missing values, only 72 observations can be used in this analysis. General Linear Models Procedure Dependent Variable: BCAA Sum of Mean Source DF Squares Square F Value Pr > F Model 41 1279172.2451 31199.3231 17.27 0.0001 Error 30 54211.1386 1807.0380 Corrected Total 71 1333383.3838 R-Square C.V. Root MSE BCAA Mean 0.959343 15.18346 42.509269 279.97083 Source DF Type I SS Mean Square F Value Pr > F COW 4 39531.72012 9882.93003 5.47 0.0020 TRT 4 155310.99684 38827.74921 21.49 0.0001 PR 4 26255.77356 6563.94339 3.63 0.0158 COW*TRT*PR 11 8505.65989 773.24181 0.43 0.9312 SPR 2 658279.39000 329139.69500 182.14 0.0001 TRT*SPR 8 355930.07300 44491.25913 24.62 0.0001 PR*SPR 8 35358.63169 4419.82896 2.45 0.0361 Source DF Type III SS Mean Square F Value Pr > F COW 4 29709.62831 7427.40708 4.11 0.0090 TRT 4 154636.64390 38659.16098 21.39 0.0001 PR 4 26255.77356 6563.94339 3.63 0.0158 COW*TRT*PR 11 8505.65989 773.24181 0.43 0.9312 SPR 2 654017.09861 327008.54930 180.96 0.0001 TRT*SPR 8 354040.31727 44255.03966 24.49 0.0001 PR*SPR 8 35358.63169 4419.82896 2.45 0.0361 General Linear Models Procedure Source Type III Expected Mean Square COW Var(Error) + 3 Var(COW*TRT*PR) + 14.062 Var(COW) TRT Var(Error) + 3 Var(COW*TRT*PR) + Q(TRT,TRT*SPR) PR Var(Error) + 3 Var(COW*TRT*PR) + Q(PR,PR*SPR) COW*TRT*PR Var(Error) + 3 Var(COW*TRT*PR) SPR Var(Error) + Q(SPR,TRT*SPR,PR*SPR) TRT*SPR Var(Error) + Q(TRT*SPR) PR*SPR Var(Error) + Q(PR*SPR) General Linear Models Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: BCAA Source: COW Error: MS(COW*TRT*PR) Denominator Denominator DF Type III MS DF MS F Value Pr > F 4 7427.4070773 11 773.24180808 9.6055 0.0014 Source: TRT * Error: MS(COW*TRT*PR) Denominator Denominator DF Type III MS DF MS F Value Pr > F 4 38659.160976 11 773.24180808 49.9962 0.0001 * - This test assumes one or more other fixed effects are zero. Source: PR * Error: MS(COW*TRT*PR) Denominator Denominator DF Type III MS DF MS F Value Pr > F 4 6563.9433898 11 773.24180808 8.4889 0.0022 * - This test assumes one or more other fixed effects are zero. Source: COW*TRT*PR Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 11 773.24180808 30 1807.0379549 0.4279 0.9312 Source: SPR * Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 2 327008.5493 30 1807.0379549 180.9639 0.0001 * - This test assumes one or more other fixed effects are zero. Source: TRT*SPR Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 8 44255.039659 30 1807.0379549 24.4904 0.0001 Source: PR*SPR Error: MS(Error) Denominator Denominator DF Type III MS DF MS F Value Pr > F 8 4419.8289609 30 1807.0379549 2.4459 0.0361 Least Squares Means Standard Errors and Probabilities calculated using the Type III MS for COW*TRT*PR as an Error term TRT BCAA Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 214.946667 7.179795 0.0001 1 2 250.440000 7.179795 0.0001 2 3 Non-est . . 3 4 306.546667 7.179795 0.0001 4 5 347.046667 7.179795 0.0001 5 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 1 . 0.0050 . 0.0001 0.0001 2 0.0050 . . 0.0002 0.0001 3 . . . . . 4 0.0001 0.0002 . . 0.0021 5 0.0001 0.0001 . 0.0021 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Standard Errors and Probabilities calculated using the Type III MS for COW*TRT*PR as an Error term PR BCAA Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 Non-est . . 1 2 276.696667 7.179795 0.0001 2 3 261.490000 7.179795 0.0001 3 4 287.883333 7.179795 0.0001 4 5 259.093333 7.179795 0.0001 5 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 1 . . . . . 2 . . 0.1624 0.2941 0.1109 3 . 0.1624 . 0.0247 0.8177 4 . 0.2941 0.0247 . 0.0162 5 . 0.1109 0.8177 0.0162 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Least Squares Means SPR BCAA LSMEAN 1 Non-est 2 Non-est 3 Non-est Least Squares Means TRT SPR BCAA Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 1 215.120000 19.010723 0.0001 1 1 2 211.830000 19.010723 0.0001 2 1 3 217.890000 19.010723 0.0001 3 2 1 328.660000 19.010723 0.0001 4 2 2 209.410000 19.010723 0.0001 5 2 3 213.250000 19.010723 0.0001 6 3 1 Non-est . . 7 3 2 Non-est . . 8 3 3 Non-est . . 9 4 1 502.650000 19.010723 0.0001 10 4 2 234.070000 19.010723 0.0001 11 4 3 182.920000 19.010723 0.0001 12 5 1 623.650000 19.010723 0.0001 13 5 2 246.750000 19.010723 0.0001 14 5 3 170.740000 19.010723 0.0001 15 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 6 7 8 9 1 . 0.9034 0.9186 0.0002 0.8332 0.9450 . . . 2 0.9034 . 0.8232 0.0001 0.9289 0.9582 . . . 3 0.9186 0.8232 . 0.0003 0.7546 0.8641 . . . 4 0.0002 0.0001 0.0003 . 0.0001 0.0002 . . . 5 0.8332 0.9289 0.7546 0.0001 . 0.8874 . . . 6 0.9450 0.9582 0.8641 0.0002 0.8874 . . . . 7 . . . . . . . . . 8 . . . . . . . . . 9 . . . . . . . . . 10 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 . . . 11 0.4863 0.4146 0.5518 0.0014 0.3663 0.4448 . . . 12 0.2404 0.2908 0.2033 0.0001 0.3324 0.2682 . . . 13 0.0001 0.0001 0.0001 0.0001 0.0001 0.0001 . . . 14 0.2487 0.2039 0.2916 0.0048 0.1751 0.2224 . . . 15 0.1092 0.1369 0.0897 0.0001 0.1607 0.1243 . . . Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 10 11 12 13 14 15 1 0.0001 0.4863 0.2404 0.0001 0.2487 0.1092 2 0.0001 0.4146 0.2908 0.0001 0.2039 0.1369 3 0.0001 0.5518 0.2033 0.0001 0.2916 0.0897 4 0.0001 0.0014 0.0001 0.0001 0.0048 0.0001 5 0.0001 0.3663 0.3324 0.0001 0.1751 0.1607 6 0.0001 0.4448 0.2682 0.0001 0.2224 0.1243 7 . . . . . . 8 . . . . . . 9 . . . . . . 10 . 0.0001 0.0001 0.0001 0.0001 0.0001 11 0.0001 . 0.0667 0.0001 0.6406 0.0252 12 0.0001 0.0667 . 0.0001 0.0242 0.6538 13 0.0001 0.0001 0.0001 . 0.0001 0.0001 14 0.0001 0.6406 0.0242 0.0001 . 0.0083 15 0.0001 0.0252 0.6538 0.0001 0.0083 . Least Squares Means NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Dependent Variable: BCAA Tests of Hypotheses using the Type III MS for COW*TRT*PR as an error term Source DF Type III SS Mean Square F Value Pr > F TRT 4 154636.64390 38659.16098 50.00 0.0001 PR 4 26255.77356 6563.94339 8.49 0.0022 Plot of LSMEAN*TRT. Symbol is value of SPR. LSMEAN | | 650 + | | | 1 | 600 + | | | | 550 + | | | | 500 + 1 | | | | 450 + | | | | 400 + | | | | 350 + | | 1 | | 300 + | | | | 250 + 2 | | 2 | 1 | 2 2 200 + | | 3 | 3 | 150 + | ---+-------------+-------------+-------------+-------------+-- 1 2 3 4 5 TRT NOTE: 3 obs had missing values. 2 obs hidden. The MIXED Procedure Class Level Information Class Levels Values COW 5 675 3135 3241 3252 3286 TRT 5 1 2 3 4 5 PR 5 1 2 3 4 5 SPR 3 1 2 3 The MIXED Procedure REML Estimation Iteration History Iteration Evaluations Objective Criterion 0 1 425.52540652 1 2 418.80860470 0.00001163 2 1 418.80606620 0.00000005 3 1 418.80605506 0.00000000 Convergence criteria met. The MIXED Procedure Covariance Parameter Estimates (REML) Cov Parm Ratio Estimate Std Error Z Pr > |Z| COW 0.28894154 442.69930314 398.27610551 1.11 0.2663 COW*TRT*PR 0.00000000 0.00000000 . . . Residual 1.00000000 1532.1414217 338.92744993 4.52 0.0000 The MIXED Procedure Model Fitting Information for BCAA Description Value Observations 72.0000 Variance Estimate 1532.141 Standard Deviation Estimate 39.1426 REML Log Likelihood -250.755 Akaike's Information Criterion -253.755 Schwarz's Bayesian Criterion -256.465 -2 REML Log Likelihood 501.5105 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F TRT 4 11 25.26 0.0000 PR 4 11 4.64 0.0193 SPR 2 30 213.43 0.0000 The MIXED Procedure Tests of Fixed Effects Source NDF DDF Type III F Pr > F TRT*SPR 8 30 28.88 0.0000 PR*SPR 8 30 2.88 0.0165 The MIXED Procedure Least Squares Means Level LSMEAN Std Error DDF T Pr > |T| TRT*SPR 1 1 215.12000000 19.87380550 30 10.82 0.0000 TRT*SPR 1 2 211.83000000 19.87380550 30 10.66 0.0000 TRT*SPR 1 3 217.89000000 19.87380550 30 10.96 0.0000 TRT*SPR 2 1 328.66000000 19.87380550 30 16.54 0.0000 TRT*SPR 2 2 209.41000000 19.87380550 30 10.54 0.0000 TRT*SPR 2 3 213.25000000 19.87380550 30 10.73 0.0000 TRT*SPR 3 1 411.13166831 22.33525699 30 18.41 0.0000 TRT*SPR 3 2 217.12354331 22.33525699 30 9.72 0.0000 TRT*SPR 3 3 225.29916831 22.33525699 30 10.09 0.0000 TRT*SPR 4 1 502.65000000 19.87380550 30 25.29 0.0000 TRT*SPR 4 2 234.07000000 19.87380550 30 11.78 0.0000 TRT*SPR 4 3 182.92000000 19.87380550 30 9.20 0.0000 TRT*SPR 5 1 623.65000000 19.87380550 30 31.38 0.0000 TRT*SPR 5 2 246.75000000 19.87380550 30 12.42 0.0000 TRT*SPR 5 3 170.74000000 19.87380550 30 8.59 0.0000 Plot of LSMEAN*TRT. Symbol is value of SPR. | | 650.00000000 + | | | 1 | 600.00000000 + | | | | 550.00000000 + | | | | 500.00000000 + 1 | | | | 450.00000000 + | L | S | M | 1 E 400.00000000 + A | N | | | 350.00000000 + | | 1 | | 300.00000000 + | | | | 250.00000000 + 2 | | 3 2 | 1 2 | 2 2 200.00000000 + | | 3 | 3 | 150.00000000 + | ---+-----------+-----------+-----------+-----------+-- 1 2 3 4 5 TRT NOTE: 2 obs hidden.