SAS 15:44 Tuesday, April 16, 1991 1 General Linear Models Procedure Class Level Information Class Levels Values A 3 1 2 3 Number of observations in data set = 6 SAS 15:44 Tuesday, April 16, 1991 2 General Linear Models Procedure Dependent Variable: YWP Sum of Mean Source DF Squares Square F Value Pr > F Model 2 262.87537293 131.43768647 18.66 0.0203 Error 3 21.13689048 7.04563016 Corrected Total 5 284.01226342 R-Square C.V. Root MSE YWP Mean 0.925578 12.24389 2.6543606 21.67907092 Source DF Type I SS Mean Square F Value Pr > F A 2 262.87537293 131.43768647 18.66 0.0203 Source DF Type III SS Mean Square F Value Pr > F A 2 262.87537293 131.43768647 18.66 0.0203 SAS 15:44 Tuesday, April 16, 1991 3 General Linear Models Procedure Level of -------------YWP------------- A N Mean SD 1 2 29.1011169 2.93744761 2 2 22.9080650 3.05062482 3 2 13.0280309 1.78940778 SAS 15:44 Tuesday, April 16, 1991 4 General Linear Models Procedure Class Level Information Class Levels Values A 3 1 2 3 S 6 1 2 3 4 5 6 B 2 1 2 Number of observations in data set = 12 SAS 15:44 Tuesday, April 16, 1991 5 General Linear Models Procedure Dependent Variable: YSPB Sum of Mean Source DF Squares Square F Value Pr > F Model 8 644.29132078 80.53641510 45.56 0.0048 Error 3 5.30328376 1.76776125 Corrected Total 11 649.59460455 R-Square C.V. Root MSE YSPB Mean 0.991836 6.132974 1.3295718 21.67907092 Source DF Type I SS Mean Square F Value Pr > F A 2 525.75074587 262.87537293 148.71 0.0010 S 3 42.27378097 14.09126032 7.97 0.0610 B 1 61.01110446 61.01110446 34.51 0.0098 A*B 2 15.25568949 7.62784475 4.31 0.1310 Tests of Hypotheses using the Type I MS for S as an error term Source DF Type I SS Mean Square F Value Pr > F A 2 525.75074587 262.87537293 18.66 0.0203 SAS 15:44 Tuesday, April 16, 1991 6 General Linear Models Procedure Class Level Information Class Levels Values A 3 1 2 3 S 6 1 2 3 4 5 6 C 2 1 2 Number of observations in data set = 12 SAS 15:44 Tuesday, April 16, 1991 7 General Linear Models Procedure Dependent Variable: YSPC Sum of Mean Source DF Squares Square F Value Pr > F Model 8 762.76253731 95.34531716 114.64 0.0012 Error 3 2.49513111 0.83171037 Corrected Total 11 765.25766842 R-Square C.V. Root MSE YSPC Mean 0.996739 4.206737 0.9119816 21.67907092 Source DF Type I SS Mean Square F Value Pr > F A 2 525.75074587 262.87537293 316.07 0.0003 S 3 42.27378097 14.09126032 16.94 0.0220 C 1 154.78520998 154.78520998 186.10 0.0009 A*C 2 39.95280050 19.97640025 24.02 0.0143 Tests of Hypotheses using the Type I MS for S as an error term Source DF Type I SS Mean Square F Value Pr > F A 2 525.75074587 262.87537293 18.66 0.0203 SAS 15:44 Tuesday, April 16, 1991 8 General Linear Models Procedure Class Level Information Class Levels Values B 2 1 2 C 2 1 2 S 6 1 2 3 4 5 6 Number of observations in data set = 24 SAS 15:44 Tuesday, April 16, 1991 9 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 18 1704.5937622 94.6996535 119.23 0.0001 Error 5 3.9714509 0.7942902 Corrected Total 23 1708.5652132 R-Square C.V. Root MSE Y Mean 0.997676 4.111014 0.8912296 21.67907092 Source DF Type I SS Mean Square F Value Pr > F S 5 1136.0490537 227.2098107 286.05 0.0001 B 1 122.0222089 122.0222089 153.62 0.0001 B*S 5 41.1179465 8.2235893 10.35 0.0113 C 1 309.5704200 309.5704200 389.74 0.0001 C*S 5 84.8958632 16.9791726 21.38 0.0022 B*C 1 10.9382699 10.9382699 13.77 0.0138 Tests of Hypotheses using the Type I MS for B*S as an error term Source DF Type I SS Mean Square F Value Pr > F B 1 122.02220891 122.02220891 14.84 0.0120 Tests of Hypotheses using the Type I MS for C*S as an error term Source DF Type I SS Mean Square F Value Pr > F C 1 309.57041996 309.57041996 18.23 0.0079 SAS 15:44 Tuesday, April 16, 1991 10 General Linear Models Procedure Class Level Information Class Levels Values A 3 1 2 3 B 2 1 2 C 2 1 2 S 6 1 2 3 4 5 6 Number of observations in data set = 24 SAS 15:44 Tuesday, April 16, 1991 11 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 20 1707.2499061 85.3624953 194.70 0.0005 Error 3 1.3153071 0.4384357 Corrected Total 23 1708.5652132 R-Square C.V. Root MSE Y Mean 0.999230 3.054304 0.6621448 21.67907092 Source DF Type I SS Mean Square F Value Pr > F A 2 1051.5014917 525.7507459 1199.15 0.0001 S 3 84.5475619 28.1825206 64.28 0.0032 B 1 122.0222089 122.0222089 278.31 0.0005 A*B 2 30.5113790 15.2556895 34.80 0.0084 B*S 3 10.6065675 3.5355225 8.06 0.0601 C 1 309.5704200 309.5704200 706.08 0.0001 A*C 2 79.9056010 39.9528005 91.13 0.0021 C*S 3 4.9902622 1.6634207 3.79 0.1512 B*C 1 10.9382699 10.9382699 24.95 0.0154 A*B*C 2 2.6561439 1.3280719 3.03 0.1906 Tests of Hypotheses using the Type I MS for S as an error term Source DF Type I SS Mean Square F Value Pr > F A 2 1051.5014917 525.7507459 18.66 0.0203 Tests of Hypotheses using the Type I MS for B*S as an error term Source DF Type I SS Mean Square F Value Pr > F B 1 122.02220891 122.02220891 34.51 0.0098 A*B 2 30.51137898 15.25568949 4.31 0.1310 Tests of Hypotheses using the Type I MS for C*S as an error term Source DF Type I SS Mean Square F Value Pr > F C 1 309.57041996 309.57041996 186.10 0.0009 A*C 2 79.90560100 39.95280050 24.02 0.0143 SAS 15:44 Tuesday, April 16, 1991 12 General Linear Models Procedure Level of --------------Y-------------- A N Mean SD 1 8 29.1011169 7.89543585 2 8 22.9080650 3.46331325 3 8 13.0280309 4.41970587 SAS 15:44 Tuesday, April 16, 1991 13 General Linear Models Procedure Level of --------------Y-------------- B N Mean SD 1 12 23.9339010 9.32550177 2 12 19.4242408 7.56744335 Level of Level of --------------Y-------------- A B N Mean SD 1 1 4 32.9503272 7.24342005 1 2 4 25.2519065 7.31283311 2 1 4 24.3450943 3.18076221 2 2 4 21.4710357 3.51613432 3 1 4 14.5062815 5.40004761 3 2 4 11.5497803 3.25439488 SAS 15:44 Tuesday, April 16, 1991 14 General Linear Models Procedure Level of --------------Y-------------- C N Mean SD 1 12 25.2705563 8.82054471 2 12 18.0875855 7.02704318 Level of Level of --------------Y-------------- A C N Mean SD 1 1 4 35.0016733 5.35998516 1 2 4 23.2005605 4.88687028 2 1 4 24.3473960 3.60423058 2 2 4 21.4687340 3.07771272 3 1 4 16.4625997 3.56625381 3 2 4 9.5934620 1.18490429 SAS 15:44 Tuesday, April 16, 1991 15 General Linear Models Procedure Level of Level of --------------Y-------------- B C N Mean SD 1 1 6 28.2004873 9.28380290 1 2 6 19.6673147 7.83868264 2 1 6 22.3406253 8.02325581 2 2 6 16.5078563 6.41874500 Level of Level of Level of --------------Y-------------- A B C N Mean SD 1 1 1 2 39.0555790 2.51148631 1 1 2 2 26.8450755 1.41330917 1 2 1 2 30.9477675 3.76087116 1 2 2 2 19.5560455 4.06412380 2 1 1 2 26.6878035 1.02693754 2 1 2 2 22.0023850 2.70998108 2 2 1 2 22.0069885 4.00085047 2 2 2 2 20.9350830 4.46473020 3 1 1 2 18.8580795 2.96297045 3 1 2 2 10.1544835 1.71748813 3 2 1 2 14.0671200 2.53416888 3 2 2 2 9.0324405 0.05699634