ASSIGNMENT 8 output

ASSIGNMENT 8 output - ASSIGNMENT 8 OUTPUT The SAS System...

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ASSIGNMENT 8 OUTPUT The SAS System 11:16 Tuesday, April 6, 2004 1 Obs source block _TYPE_ _FREQ_ ave 1 1Urea 1 0 3 5.00000 2 1Urea 2 0 3 4.53333 3 2Amm 1 0 3 5.40000 4 2Amm 2 0 3 6.10000 5 3IBDU 1 0 3 6.46667 6 3IBDU 2 0 3 7.06667 7 4(SC) 1 0 3 7.96667 8 4(SC) 2 0 3 8.30000 The SAS System 11:16 Tuesday, April 6, 2004 2 The GLM Procedure Class Level Information Class Levels Values source 4 1Urea 2Amm 3IBDU 4(SC) block 2 1 2 Number of observations 8 The SAS System 11:16 Tuesday, April 6, 2004 3 The GLM Procedure Dependent Variable: ave Sum of Source DF Squares Mean Square F Value Pr > F Model 4 12.61166667 3.15291667 22.56 0.0142 Error 3 0.41930556 0.13976852 Corrected Total 7 13.03097222 R-Square Coeff Var Root MSE ave Mean 0.967822 5.883640 0.373856 6.354167 Source DF Type III SS Mean Square F Value Pr > F source 3 12.44152778 4.14717593 29.67 0.0099 block 1 0.17013889 0.17013889 1.22 0.3505
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The SAS System 11:16 Tuesday, April 6, 2004 4 The GLM Procedure Least Squares Means Standard LSMEAN source ave LSMEAN Error Pr > |t| Number 1Urea 4.76666667 0.26435631 0.0004 1 2Amm 5.75000000 0.26435631 0.0002 2 3IBDU 6.76666667 0.26435631 0.0001 3 4(SC) 8.13333333 0.26435631 <.0001 4 Least Squares Means for effect source Pr > |t| for H0: LSMean(i)=LSMean(j) Dependent Variable: ave i/j 1 2 3 4 1 0.0783 0.0128 0.0029 2 0.0783 0.0726 0.0078 3 0.0128 0.0726 0.0354 4 0.0029 0.0078 0.0354 NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. The SAS System 10:33 Tuesday, April 6, 2004 5 The GLM Procedure Class Level Information Class Levels Values source 4 1Urea 2Amm 3IBDU 4(SC) block 2 1 2 Number of observations 24
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The SAS System 10:33 Tuesday, April 6, 2004 6 The GLM Procedure Dependent Variable: chloro Sum of Source DF Squares Mean Square F Value Pr > F Model 7 39.09291667 5.58470238 9.22 0.0001 Error 16 9.68666667 0.60541667 Corrected Total 23 48.77958333 R-Square Coeff Var Root MSE chloro Mean 0.801420 12.24528 0.778085 6.354167 Source DF Type III SS Mean Square F Value Pr > F source 3 37.32458333 12.44152778 20.55 <.0001 block 1 0.51041667 0.51041667 0.84 0.3722 source*block 3 1.25791667 0.41930556 0.69 0.5698 The SAS System 10:33 Tuesday, April 6, 2004 7 The GLM Procedure Source Type III Expected Mean Square source Var(Error) + 3 Var(source*block) + Q(source) block Var(Error) + 3 Var(source*block) + Q(block) source*block Var(Error) + 3 Var(source*block) The SAS System 10:33 Tuesday, April 6, 2004 8 The GLM Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: chloro Source DF Type III SS Mean Square F Value Pr > F source 3 37.324583 12.441528 29.67 0.0099 block 1 0.510417 0.510417 1.22 0.3505 Error 3 1.257917 0.419306 Error: MS(source*block) Source DF Type III SS Mean Square F Value Pr > F source*block 3 1.257917 0.419306 0.69 0.5698 Error: MS(Error) 16 9.686667 0.605417
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The SAS System 10:33 Tuesday, April 6, 2004 9 Least Squares Means chloro Standard LSMEAN source LSMEAN Error Pr > |t| Number 1Urea 4.76666667 0.31765198 <.0001 1 2Amm 5.75000000 0.31765198 <.0001 2 3IBDU 6.76666667 0.31765198 <.0001 3 4(SC) 8.13333333 0.31765198 <.0001 4 Least Squares Means for effect source Pr > |t| for H0: LSMean(i)=LSMean(j) Dependent Variable: chloro i/j 1 2 3 4 1 0.0438 0.0004 <.0001 2 0.0438 0.0379 <.0001 3 0.0004 0.0379 0.0078 4 <.0001 <.0001 0.0078 NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. The SAS System 10:33 Tuesday, April 6, 2004 10 Least Squares Means Standard Errors and Probabilities Calculated Using the Type III MS for source*block as an Error Term chloro Standard LSMEAN source LSMEAN Error Pr > |t| Number 1Urea 4.76666667 0.26435631 0.0004 1 2Amm 5.75000000 0.26435631 0.0002 2 3IBDU 6.76666667 0.26435631 0.0001 3 4(SC) 8.13333333 0.26435631 <.0001 4
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