data peanut; input location variety yield sdmatker seedsize; cards; 1 5 195.3 153.1 51.4 1 5 194.3 167.7 53.7 2 5 189.7 139.5 55.5 2 5 180.4 121.1 44.4 1 6 203.0 156.8 49.8 1 6 195.9 166.0 45.8 2 6 202.7 166.1 60.4 2 6 197.6 161.8 54.1 1 8 193.5 164.5 57.8 1 8 187.0 165.1 58.6 2 8 201.5 166.8 65.0 2 8 200.0 173.8 67.2 run; proc glm; class location variety; model yield sdmatker seedsize = location variety location*variety/nouni; manova h=location variety location*variety/printe printh; means location variety location*variety; run: quit; The SAS System 10:40 Saturday, October 3, 2009 1 The GLM Procedure Class Level Information Class Levels Values location 2 1 2 variety 3 5 6 8 Number of Observations Read 12 Number of Observations Used 12 The SAS System 10:40 Saturday, October 3, 2009 2 The GLM Procedure Multivariate Analysis of Variance E = Error SSCP Matrix yield sdmatker seedsize yield 104.205 49.365 76.48 sdmatker 49.365 352.105 121.995 seedsize 76.48 121.995 94.835 Partial Correlation Coefficients from the Error SSCP Matrix / Prob > |r| DF = 6 yield sdmatker seedsize yield 1.000000 0.257714 0.769342 0.5769 0.0432 sdmatker 0.257714 1.000000 0.667608 0.5769 0.1013 seedsize 0.769342 0.667608 1.000000 0.0432 0.1013 The SAS System 10:40 Saturday, October 3, 2009 3 The GLM Procedure Multivariate Analysis of Variance H = Type III SSCP Matrix for location yield sdmatker seedsize yield 0.7008333333 -10.6575 7.1291666667 sdmatker -10.6575 162.0675 -108.4125 seedsize 7.1291666667 -108.4125 72.520833333 Characteristic Roots and Vectors of: E Inverse * H, where H = Type III SSCP Matrix for location E = Error SSCP Matrix Characteristic Characteristic Vector V'EV=1 Root Percent yield sdmatker seedsize 8.38824348 100.00 -0.13688388 -0.07628041 0.23952166 0.00000000 0.00 0.10187838 0.00216080 -0.00678495 0.00000000 0.00 -0.06307410 0.03725453 0.06189287 MANOVA Test Criteria and Exact F Statistics for the Hypothesis of No Overall location Effect H = Type III SSCP Matrix for location E = Error SSCP Matrix S=1 M=0.5 N=1 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.10651620 11.18 3 4 0.0205 Pillai's Trace 0.89348380 11.18 3 4 0.0205 Hotelling-Lawley Trace 8.38824348 11.18 3 4 0.0205 Roy's Greatest Root 8.38824348 11.18 3 4 0.0205 H = Type III SSCP Matrix for variety yield sdmatker seedsize yield 196.115 365.1825 42.6275 sdmatker 365.1825 1089.015 414.655 seedsize 42.6275 414.655 284.10166667 Characteristic Roots and Vectors of: E Inverse * H, where H = Type III SSCP Matrix for variety E = Error SSCP Matrix Characteristic Characteristic Vector V'EV=1 Root Percent yield sdmatker seedsize 18.1876113 85.09 -0.16986539 -0.06425268 0.23943636 3.1880638 14.91 0.00137509 0.03769309 0.03800092 0.0000000 0.00 0.06510456 -0.04076880 0.04973481 The SAS System 10:40 Saturday, October 3, 2009 4 The GLM Procedure Multivariate Analysis of Variance MANOVA Test Criteria and F Approximations for the Hypothesis of No Overall variety Effect H = Type III SSCP Matrix for variety E = Error SSCP Matrix S=2 M=0 N=1 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.01244417 10.62 6 8 0.0019 Pillai's Trace 1.70910921 9.79 6 10 0.0011 Hotelling-Lawley Trace 21.37567504 14.25 6 4 0.0113 Roy's Greatest Root 18.18761127 30.31 3 5 0.0012 NOTE: F Statistic for Roy's Greatest Root is an upper bound. NOTE: F Statistic for Wilks' Lambda is exact. H = Type III SSCP Matrix for location*variety yield sdmatker seedsize yield 205.10166667 363.6675 107.78583333 sdmatker 363.6675 780.695 254.22 seedsize 107.78583333 254.22 85.951666667 Characteristic Roots and Vectors of: E Inverse * H, where H = Type III SSCP Matrix for location*variety E = Error SSCP Matrix Characteristic Characteristic Vector V'EV=1 Root Percent yield sdmatker seedsize 6.82409388 90.45 0.15723347 0.06948572 -0.18762316 0.72019649 9.55 -0.08644203 0.01400396 0.12612011 0.00000000 0.00 0.03000259 -0.04676424 0.10069089 MANOVA Test Criteria and F Approximations for the Hypothesis of No Overall location*variety Effect H = Type III SSCP Matrix for location*variety E = Error SSCP Matrix S=2 M=0 N=1 Statistic Value F Value Num DF Den DF Pr > F Wilks' Lambda 0.07429984 3.56 6 8 0.0508 Pillai's Trace 1.29086073 3.03 6 10 0.0587 Hotelling-Lawley Trace 7.54429038 5.03 6 4 0.0699 Roy's Greatest Root 6.82409388 11.37 3 5 0.0113 NOTE: F Statistic for Roy's Greatest Root is an upper bound. NOTE: F Statistic for Wilks' Lambda is exact. The SAS System 10:40 Saturday, October 3, 2009 5 The GLM Procedure Level of ------------yield------------ -----------sdmatker---------- -----------seedsize---------- location N Mean Std Dev Mean Std Dev Mean Std Dev 1 6 194.833333 5.12783255 162.200000 5.8371226 52.8500000 4.88661437 2 6 195.316667 8.64810191 154.850000 20.2556412 57.7666667 8.31256078 Level of ------------yield------------ -----------sdmatker---------- -----------seedsize---------- variety N Mean Std Dev Mean Std Dev Mean Std Dev 5 4 189.925000 6.80214427 145.350000 19.8483417 51.2500000 4.86518242 6 4 199.800000 3.59165700 162.675000 4.3995265 52.5250000 6.24893324 8 4 195.500000 6.64580068 167.550000 4.2790186 62.1500000 4.66011445 Level of Level of -----------yield----------- ----------sdmatker--------- ----------seedsize--------- location variety N Mean Std Dev Mean Std Dev Mean Std Dev 1 5 2 194.800000 0.70710678 160.400000 10.3237590 52.5500000 1.62634560 1 6 2 199.450000 5.02045815 161.400000 6.5053824 47.8000000 2.82842712 1 8 2 190.250000 4.59619408 164.800000 0.4242641 58.2000000 0.56568542 2 5 2 185.050000 6.57609307 130.300000 13.0107648 49.9500000 7.84888527 2 6 2 200.150000 3.60624458 163.950000 3.0405592 57.2500000 4.45477272 2 8 2 200.750000 1.06066017 170.300000 4.9497475 66.1000000 1.55563492