General Linear Models Procedure Class Level Information Class Levels Values TEMP 5 50 60 70 80 90 HUMID 4 20 40 60 80 Number of observations in data set = 20 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 7 2210.9150000 315.8450000 9.46 0.0005 Error 12 400.4470000 33.3705833 Corrected Total 19 2611.3620000 R-Square C.V. Root MSE Y Mean 0.846652 23.07922 5.7767277 25.030000 Source DF Type I SS Mean Square F Value Pr > F TEMP 4 136.6170000 34.1542500 1.02 0.4341 HUMID 3 2074.2980000 691.4326667 20.72 0.0001 Source DF Type III SS Mean Square F Value Pr > F TEMP 4 136.6170000 34.1542500 1.02 0.4341 HUMID 3 2074.2980000 691.4326667 20.72 0.0001 General Linear Models Procedure Least Squares Means HUMID Y Std Err Pr > |T| LSMEAN LSMEAN H0:LSMEAN=0 20 12.5600000 2.5834312 0.0004 40 18.5400000 2.5834312 0.0001 60 30.1800000 2.5834312 0.0001 80 38.8400000 2.5834312 0.0001 General Linear Models Procedure Least Squares Means TEMP Y Std Err Pr > |T| LSMEAN LSMEAN H0:LSMEAN=0 50 22.0000000 2.8883639 0.0001 60 22.2750000 2.8883639 0.0001 70 25.0000000 2.8883639 0.0001 80 27.4500000 2.8883639 0.0001 90 28.4250000 2.8883639 0.0001 General Linear Models Procedure Class Level Information Class Levels Values TEMP 5 50 60 70 80 90 HUMID 4 20 40 60 80 Number of observations in data set = 20 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 8 2499.5670086 312.4458761 30.74 0.0001 Error 11 111.7949914 10.1631810 Corrected Total 19 2611.3620000 R-Square C.V. Root MSE Y Mean 0.957189 12.73661 3.1879744 25.030000 Source DF Type I SS Mean Square F Value Pr > F TEMP 4 136.6170000 34.1542500 3.36 0.0498 HUMID 3 2074.2980000 691.4326667 68.03 0.0001 INTER 1 288.6520086 288.6520086 28.40 0.0002 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT -78.37340114 B -3.45 0.0054 22.72070923 TEMP 50 16.69582819 B 3.41 0.0058 4.88911247 60 16.10191656 B 3.39 0.0060 4.74502948 70 9.63338457 B 2.89 0.0146 3.32948914 80 2.91282313 B 1.23 0.2446 2.36934214 90 0.00000000 B . . . HUMID 20 70.11906633 B 3.85 0.0027 18.20043428 40 62.82677455 B 3.99 0.0021 15.72775810 60 33.99571192 B 4.12 0.0017 8.25400485 80 0.00000000 B . . . INTER 0.14272970 5.33 0.0002 0.02678193 NOTE: The X'X matrix has been found to be singular and a generalized inverse was used to solve the normal equations. Estimates followed by the letter 'B' are biased, and are not unique estimators of the parameters. Plot of Y*HUMID. Symbol is value of TEMP. Plot of PTUKEY*HUMID. Symbol used is '*'. Y | 60 + | | | | 9 | 50 + | * | * | | 8 | 40 + | * | 8 7 * | 9 * | | 6 30 + 5 * * | | 6 | 5 * | | 20 + 5 | 7 9 * | 6 | * | 6 * | 5 10 + * | | 9 | | | 0 + | ---+------------------+------------------+------------------+-- 20 40 60 80 HUMID NOTE: 12 obs hidden. Plot of Y*LSMEAN. Symbol is value of TEMP. Y | | 60 + | | | | 9 | 50 + | | | | 8 | 40 + | | 8 7 | 9 | | 6 30 + 5 | | 6 | 5 | | 20 + 5 | 7 9 | 6 | | 6 | 5 10 + | | 9 | | | 0 + | --+-----------+-----------+-----------+-----------+-----------+-----------+- 10 15 20 25 30 35 40 LSMEAN NOTE: 4 obs hidden. Plot of PTUKEY*LSMEAN. Symbol is value of TEMP. PTUKEY | | 50 + | 9 | | 8 | | | 40 + | 7 | | 9 | 8 | | 30 + 7 5 | | | 6 | 5 | | 20 + | 5 | | | 5 | 7 | 10 + 8 | ---+----------+----------+----------+----------+----------+----------+-- 10 15 20 25 30 35 40 LSMEAN NOTE: 7 obs hidden. Plot of Y*LSMEAN. Symbol is value of HUMID. Y | | 60 + | | | | 8 | 50 + | | | | 8 | 40 + | | 8 6 | 6 | | 8 30 + 8 | | 6 6 | 6 | | 20 + 4 4 | 2 4 | 4 4 | | 2 | 2 2 10 + | | 2 | | | 0 + | ---+---------+---------+---------+---------+---------+---------+---------+-- 22 23 24 25 26 27 28 29 LSMEAN Plot of PTUKEY*LSMEAN. Symbol is value of HUMID. PTUKEY | | 50 + | 8 | | 8 | | | 40 + | 8 | | 6 | 6 | | 30 +8 8 6 | | | 6 |6 | | 20 + |4 4 4 4 4 | | |2 2 | 2 | 10 + 2 2 | -+---------+---------+---------+---------+---------+---------+---------+ 22 23 24 25 26 27 28 29 LSMEAN General Linear Models Procedure Class Level Information Class Levels Values TEMP 5 50 60 70 80 90 HUMID 4 20 40 60 80 Number of observations in data set = 20 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 10 2501.1496351 250.1149635 20.42 0.0001 Error 9 110.2123649 12.2458183 Corrected Total 19 2611.3620000 R-Square C.V. Root MSE Y Mean 0.957795 13.98083 3.4994026 25.030000 Source DF Type I SS Mean Square F Value Pr > F TEMP 4 136.6170000 34.1542500 2.79 0.0927 HUMID 3 2074.2980000 691.4326667 56.46 0.0001 PRED*HUMID 3 290.2346351 96.7448784 7.90 0.0069 Source DF Type III SS Mean Square F Value Pr > F TEMP 3 0.00000000 0.00000000 0.00 1.0000 HUMID 2 35.88330520 17.94165260 1.47 0.2813 PRED*HUMID 3 290.23463514 96.74487838 7.90 0.0069 General Linear Models Procedure Class Level Information Class Levels Values TEMP 5 50 60 70 80 90 HUMID 4 20 40 60 80 Number of observations in data set = 20 General Linear Models Procedure Dependent Variable: Y Sum of Mean Source DF Squares Square F Value Pr > F Model 11 2571.2982489 233.7543863 46.68 0.0001 Error 8 40.0637511 5.0079689 Corrected Total 19 2611.3620000 R-Square C.V. Root MSE Y Mean 0.984658 8.940668 2.2378492 25.030000 Source DF Type I SS Mean Square F Value Pr > F TEMP 4 136.6170000 34.1542500 6.82 0.0108 HUMID 3 2074.2980000 691.4326667 138.07 0.0001 PRED*TEMP 4 360.3832489 90.0958122 17.99 0.0005 Source DF Type III SS Mean Square F Value Pr > F TEMP 3 76.76856363 25.58952121 5.11 0.0290 HUMID 2 0.00000000 0.00000000 0.00 1.0000 PRED*TEMP 4 360.38324885 90.09581221 17.99 0.0005 Plot of PRED1*LSMEAN. Symbol is value of TEMP. PRED1 | | 50 + | 9 | | 8 | | | 40 + | 7 | | 9 | 8 | | 30 + 7 5 | | | 5 | | | 20 + | 5 | | | 5 | 7 | 8 10 + 9 | ---+----------+----------+----------+----------+----------+----------+-- 10 15 20 25 30 35 40 LSMEAN NOTE: 7 obs hidden. Plot of PRED2*LSMEAN. Symbol is value of TEMP. PRED2 | | 60 + | | | | | 9 50 + | | | 8 | | 40 + | | 9 | 7 | 8 | 5 30 + | 7 | 6 | 5 | | 20 + 7 | 5 | 7 9 | | 5 | 8 10 + | | 9 | | | 0 + | ---+----------+----------+----------+----------+----------+----------+-- 10 15 20 25 30 35 40 LSMEAN NOTE: 4 obs hidden. Plot of PRED1*LSMEAN. Symbol is value of HUMID. PRED1 | | 50 + | 8 | | 8 | | | 40 + | 8 | | 6 | 6 | | 30 +8 8 6 | | |6 6 | | | 20 + |4 4 4 4 4 | | |2 2 | 2 | 2 10 + 2 | -+---------+---------+---------+---------+---------+---------+---------+- 22 23 24 25 26 27 28 29 LSMEAN Plot of PRED2*LSMEAN. Symbol is value of HUMID. PRED2 | | 60 + | | | | | 8 50 + | | | 8 | | 40 + | | 6 | 8 | 6 |8 8 30 + | 6 | 6 |6 | | 20 + 4 4 |4 4 | 2 4 | |2 2 | 2 10 + | | 2 | | | 0 + | -+---------+---------+---------+---------+---------+---------+---------+- 22 23 24 25 26 27 28 29 LSMEAN