chapter 12 - fat*surfactant 1 OBS FAT SURF FLOUR SPVOL 1 1 1 1 6.7 2 1 1 2 4.3 3 1 1 3 5.7 4 1 1 4 . 5 1 2 1 7.1 6 1 2 2 . 7 1 2 3 5.9 8 1 2 4 5.6 9 1 3 1 . 10 1 3 2 5.5 11 1 3 3 6.4 12 1 3 4 5.8 13 2 1 1 . 14 2 1 2 5.9 15 2 1 3 7.4 16 2 1 4 7.1 17 2 2 1 . 18 2 2 2 5.6 19 2 2 3 . 20 2 2 4 6.8 21 2 3 1 6.4 22 2 3 2 5.1 23 2 3 3 6.2 24 2 3 4 6.3 25 3 1 1 7.1 26 3 1 2 5.9 27 3 1 3 . 28 3 1 4 . 29 3 2 1 7.3 30 3 2 2 6.6 31 3 2 3 8.1 32 3 2 4 6.8 33 3 3 1 . 34 3 3 2 7.5 35 3 3 3 9.1 36 3 3 4 . General Linear Models Procedure Class Level Information Class Levels Values FLOUR 4 1 2 3 4 FAT 3 1 2 3 SURF 3 1 2 3 Number of observations in data set = 36 NOTE: Due to missing values, only 26 observations can be used in this analysis. General Linear Models Procedure Dependent Variable: SPVOL Sum of Mean Source DF Squares Square F Value Pr > F Model 11 22.519529 2.047230 12.38 0.0001 Error 14 2.315856 0.165418 Corrected Total 25 24.835385 R-Square C.V. Root MSE SPVOL Mean 0.906752 6.286937 0.4067 6.4692 Source DF Type I SS Mean Square F Value Pr > F FLOUR 3 6.393099 2.131033 12.88 0.0003 FAT 2 10.330416 5.165208 31.23 0.0001 SURF 2 0.157249 0.078625 0.48 0.6314 FAT*SURF 4 5.638765 1.409691 8.52 0.0011 Source DF Type III SS Mean Square F Value Pr > F FLOUR 3 8.690811 2.896937 17.51 0.0001 FAT 2 10.117850 5.058925 30.58 0.0001 SURF 2 0.997210 0.498605 3.01 0.0815 FAT*SURF 4 5.638765 1.409691 8.52 0.0011 General Linear Models Procedure Least Squares Means FAT SPVOL Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 5.85019684 0.13648939 0.0001 1 2 6.57713120 0.14771267 0.0001 2 3 7.47251449 0.15648429 0.0001 3 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 1 . 0.0029 0.0001 2 0.0029 . 0.0010 3 0.0001 0.0010 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. SURF SPVOL Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 6.39597022 0.15018107 0.0001 1 2 6.59993558 0.14324083 0.0001 2 3 6.90393673 0.14732474 0.0001 3 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 1 . 0.3480 0.0291 2 0.3480 . 0.1608 3 0.0291 0.1608 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. FAT SURF SPVOL Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number 1 1 5.53635388 0.24036653 0.0001 1 1 2 5.89132489 0.23921852 0.0001 2 1 3 6.12291175 0.24137422 0.0001 3 2 1 7.02291175 0.24137422 0.0001 4 2 2 6.70848186 0.30057982 0.0001 5 2 3 6.00000000 0.20335822 0.0001 6 3 1 6.62864505 0.30066843 0.0001 7 3 2 7.20000000 0.20335822 0.0001 8 3 3 8.58889843 0.30013634 0.0001 9 General Linear Models Procedure Least Squares Means Least Squares Means for effect FAT*SURF Pr > |T| H0: LSMEAN(i)=LSMEAN(j) Dependent Variable: SPVOL i/j 1 2 3 4 5 6 7 8 1 . 0.3156 0.1105 0.0007 0.0098 0.1630 0.0118 0.0001 2 0.3156 . 0.5099 0.0052 0.0546 0.7344 0.0788 0.0009 3 0.1105 0.5099 . 0.0169 0.1428 0.7028 0.2203 0.0042 4 0.0007 0.0052 0.0169 . 0.4184 0.0059 0.3341 0.5836 5 0.0098 0.0546 0.1428 0.4184 . 0.0712 0.8550 0.1971 6 0.1630 0.7344 0.7028 0.0059 0.0712 . 0.1053 0.0009 7 0.0118 0.0788 0.2203 0.3341 0.8550 0.1053 . 0.1378 8 0.0001 0.0009 0.0042 0.5836 0.1971 0.0009 0.1378 . 9 0.0001 0.0001 0.0001 0.0010 0.0006 0.0001 0.0004 0.0018 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 9 1 0.0001 2 0.0001 3 0.0001 4 0.0010 5 0.0006 6 0.0001 7 0.0004 8 0.0018 9 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used.