The SAS System 1 16:21 Thursday, March 29, 2018 The MEANS Procedure N curriculum Obs Variable N Mean Std Dev Minimum ------------------------------------------------------------------------- 1 24 student 24 2.5000000 1.1420805 1.0000000 month 24 3.5000000 1.7445568 1.0000000 y 24 1914.21 133.8110216 1639.00 month1 24 3.5000000 1.7445568 1.0000000 2 24 student 24 6.5000000 1.1420805 5.0000000 month 24 3.5000000 1.7445568 1.0000000 y 24 2090.79 108.8081595 1951.00 month1 24 3.5000000 1.7445568 1.0000000 3 24 student 24 10.5000000 1.1420805 9.0000000 month 24 3.5000000 1.7445568 1.0000000 y 24 2005.21 25.4387229 1950.00 month1 24 3.5000000 1.7445568 1.0000000 ------------------------------------------------------------------------- N curriculum Obs Variable Maximum ----------------------------------------- 1 24 student 4.0000000 month 6.0000000 y 2100.00 month1 6.0000000 2 24 student 8.0000000 month 6.0000000 y 2294.00 month1 6.0000000 3 24 student 12.0000000 month 6.0000000 y 2050.00 month1 6.0000000 ----------------------------------------- The SAS System 2 16:21 Thursday, March 29, 2018 The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable y Covariance Structures Variance Components, Autoregressive Subject Effect student(curriculum) Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values curriculum 3 1 2 3 student 12 1 2 3 4 5 6 7 8 9 10 11 12 month1 6 1 2 3 4 5 6 Dimensions Covariance Parameters 3 Columns in X 8 Columns in Z 12 Subjects 1 Max Obs per Subject 72 Number of Observations Number of Observations Read 72 Number of Observations Used 72 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 799.62127849 1 4 700.65951769 . 2 1 699.20175219 0.00071466 3 1 698.97498086 0.00001929 4 1 698.96931503 0.00000001 5 1 698.96931132 0.00000000 The SAS System 3 16:21 Thursday, March 29, 2018 The Mixed Procedure Convergence criteria met. Estimated R Matrix for student(curriculum) 1 1 Row Col1 Col2 Col3 Col4 Col5 Col6 1 8977.07 8210.43 7509.27 6867.98 6281.46 5745.03 2 8210.43 8977.07 8210.43 7509.27 6867.98 6281.46 3 7509.27 8210.43 8977.07 8210.43 7509.27 6867.98 4 6867.98 7509.27 8210.43 8977.07 8210.43 7509.27 5 6281.46 6867.98 7509.27 8210.43 8977.07 8210.43 6 5745.03 6281.46 6867.98 7509.27 8210.43 8977.07 Estimated R Correlation Matrix for student(curriculum) 1 1 Row Col1 Col2 Col3 Col4 Col5 Col6 1 1.0000 0.9146 0.8365 0.7651 0.6997 0.6400 2 0.9146 1.0000 0.9146 0.8365 0.7651 0.6997 3 0.8365 0.9146 1.0000 0.9146 0.8365 0.7651 4 0.7651 0.8365 0.9146 1.0000 0.9146 0.8365 5 0.6997 0.7651 0.8365 0.9146 1.0000 0.9146 6 0.6400 0.6997 0.7651 0.8365 0.9146 1.0000 Covariance Parameter Estimates Cov Parm Subject Estimate student(curriculum) 0 AR(1) student(curriculum) 0.9146 Residual 8977.07 Fit Statistics -2 Res Log Likelihood 699.0 AIC (Smaller is Better) 703.0 AICC (Smaller is Better) 703.2 BIC (Smaller is Better) 703.9 The SAS System 4 16:21 Thursday, March 29, 2018 The Mixed Procedure Solution for Fixed Effects Standard Effect curriculum Estimate Error DF t Value Pr > |t| Intercept 1986.67 51.2527 9 38.76 <.0001 curriculum 1 52.8492 72.4823 9 0.73 0.4845 curriculum 2 1.9916 72.4823 9 0.03 0.9787 curriculum 3 0 . . . . month 3.0735 8.0398 57 0.38 0.7037 month*curriculum 1 -40.7650 11.3700 57 -3.59 0.0007 month*curriculum 2 29.5841 11.3700 57 2.60 0.0118 month*curriculum 3 0 . . . . Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F curriculum 2 9 0.34 0.7195 month 1 57 0.02 0.8885 month*curriculum 2 57 19.30 <.0001 Least Squares Means Standard Effect curriculum Estimate Error DF t Value Pr > |t| curriculum 1 1907.60 42.8371 9 44.53 <.0001 curriculum 2 2102.97 42.8371 9 49.09 <.0001 curriculum 3 1997.43 42.8371 9 46.63 <.0001 Differences of Least Squares Means Standard Effect curriculum _curriculum Estimate Error DF t Value curriculum 1 2 -195.36 60.5808 9 -3.22 Differences of Least Squares Means Effect curriculum _curriculum Pr > |t| curriculum 1 2 0.0104 The SAS System 5 16:21 Thursday, March 29, 2018 The Mixed Procedure Differences of Least Squares Means Standard Effect curriculum _curriculum Estimate Error DF t Value curriculum 1 3 -89.8282 60.5808 9 -1.48 curriculum 2 3 105.54 60.5808 9 1.74 Differences of Least Squares Means Effect curriculum _curriculum Pr > |t| curriculum 1 3 0.1723 curriculum 2 3 0.1155