General Linear Models Procedure Class Level Information Class Levels Values TYPE 3 A B C SHAPE 3 X Y Z Number of observations in data set = 36 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 9 36.69267834 4.07696426 3.61 0.0049 Error 26 29.38690401 1.13026554 Corrected Total 35 66.07958235 R-Square C.V. Root MSE Y Mean 0.555280 33.31646 1.0631395 3.1910335 Source DF Type I SS Mean Square F Value Pr > F REPS 1 2.34321916 2.34321916 2.07 0.1618 TYPE 2 18.03267479 9.01633739 7.98 0.0020 SHAPE 2 9.79136268 4.89568134 4.33 0.0238 TYPE*SHAPE 4 6.52542171 1.63135543 1.44 0.2480 Source DF Type III SS Mean Square F Value Pr > F REPS 1 2.34321916 2.34321916 2.07 0.1618 TYPE 2 18.03267479 9.01633739 7.98 0.0020 SHAPE 2 9.79136268 4.89568134 4.33 0.0238 TYPE*SHAPE 4 6.52542171 1.63135543 1.44 0.2480 General Linear Models Procedure Least Squares Means TYPE Y Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number A 3.08578050 0.30690193 0.0001 1 B 4.10566514 0.30690193 0.0001 2 C 2.38165494 0.30690193 0.0001 3 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 1 . 0.0267 0.1168 2 0.0267 . 0.0005 3 0.1168 0.0005 . NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. SHAPE Y Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number X 3.92624624 0.30690193 0.0001 1 Y 2.87412380 0.30690193 0.0001 2 Z 2.77273054 0.30690193 0.0001 3 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 1 . 0.0226 0.0133 2 0.0226 . 0.8171 3 0.0133 0.8171 . General Linear Models Procedure Least Squares Means NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. TYPE SHAPE Y Std Err Pr > |T| LSMEAN LSMEAN LSMEAN H0:LSMEAN=0 Number A X 3.83269536 0.53156974 0.0001 1 A Y 2.91788892 0.53156974 0.0001 2 A Z 2.50675722 0.53156974 0.0001 3 B X 4.51705981 0.53156974 0.0001 4 B Y 3.31292078 0.53156974 0.0001 5 B Z 4.48701484 0.53156974 0.0001 6 C X 3.42898354 0.53156974 0.0001 7 C Y 2.39156170 0.53156974 0.0001 8 C Z 1.32441957 0.53156974 0.0194 9 Pr > |T| H0: LSMEAN(i)=LSMEAN(j) i/j 1 2 3 4 5 6 7 8 9 1 . 0.2346 0.0895 0.3710 0.4954 0.3921 0.5958 0.0663 0.0026 2 0.2346 . 0.5891 0.0430 0.6037 0.0468 0.5026 0.4901 0.0437 3 0.0895 0.5891 . 0.0128 0.2934 0.0140 0.2309 0.8794 0.1279 4 0.3710 0.0430 0.0128 . 0.1213 0.9684 0.1597 0.0089 0.0002 5 0.4954 0.6037 0.2934 0.1213 . 0.1304 0.8785 0.2313 0.0137 6 0.3921 0.0468 0.0140 0.9684 0.1304 . 0.1711 0.0098 0.0003 7 0.5958 0.5026 0.2309 0.1597 0.8785 0.1711 . 0.1793 0.0095 8 0.0663 0.4901 0.8794 0.0089 0.2313 0.0098 0.1793 . 0.1676 9 0.0026 0.0437 0.1279 0.0002 0.0137 0.0003 0.0095 0.1676 . General Linear Models Procedure Least Squares Means NOTE: To ensure overall protection level, only probabilities associated with pre-planned comparisons should be used. Plot of RY*PY. Symbol is value of TYPE. 2 + | | | | C | A | A 1 + C B B | A A B | C RY | C C B | C B | A B | A B A 0 + C C | B | C | A B | A B | | A -1 + | | C A B | C | B A | C | -2 + ---+--------------+--------------+--------------+--------------+-- 1 2 3 4 5 PY Plot of RY*PY. Symbol is value of SHAPE. 2 + | | | | Y | Y | X 1 + Z Y Z | Z Z Z | X RY | Y X Y | Z X | X X | Y Y X 0 + Z X | X | Y | Z Z | Y X | | Y -1 + | | Z Z Z | X | Y X | Y | -2 + ---+--------------+--------------+--------------+--------------+-- 1 2 3 4 5 PY Plot of LSMEAN*SHAPE. Symbol is value of TYPE. 5 + | | | B | B | | 4 + | A | LSMEAN | | C | B | 3 + | A | | A | C | | 2 + | | | | | C | 1 + ---+----------------------+----------------------+-- SHAPE NOTE: 3 obs had missing values.