The SAS System 1 11:16 Friday, September 18, 2009 The Mixed Procedure Model Information Data Set WORK.MULT_MA_DATA Dependent Variable eff_est Weight Variable w Covariance Structure Heterogeneous Autoregressive Subject Effects study_id, study_id Estimation Method REML Residual Variance Method None Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values study_id 46 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 meas_time 4 1 2 3 4 Dimensions Covariance Parameters 10 Columns in X 4 Columns in Z Per Subject 4 Subjects 46 Max Obs Per Subject 4 Number of Observations Number of Observations Read 184 Number of Observations Used 82 Number of Observations Not Used 102 Parameter Search CovP1 CovP2 CovP3 CovP4 CovP5 CovP6 CovP7 1.0000 1.0000 1.0000 1.0000 0.5000 23.1000 27.8000 The SAS System 2 11:16 Friday, September 18, 2009 The Mixed Procedure Parameter Search CovP8 CovP9 CovP10 Res Log Like -2 Res Log Like 27.7000 29.5000 0.5000 -308.2597 616.5195 Iteration History Iteration Evaluations -2 Res Log Like Criterion 1 2 600.11954982 22.04337838 2 1 582.67719802 88.47007191 3 1 566.77877781 256.80258615 4 1 555.03340461 392.95280671 5 1 549.85536558 16.72241910 6 1 549.59925153 0.62064420 7 1 547.85991682 1.19466876 8 1 544.42124802 0.01526754 9 3 541.69628456 . 10 1 541.69628039 0.00997885 11 1 541.69616642 0.00997871 12 1 541.69032376 0.00997158 13 1 541.50898384 0.00988816 14 1 541.25657776 0.01168154 15 3 541.23249740 0.01267312 16 2 539.62643484 0.00620716 17 2 538.02613152 . 18 1 537.97983193 0.00367304 19 1 537.96868645 0.00393672 20 1 537.96814965 0.00398207 21 1 537.96625798 0.00397917 22 1 537.95909237 0.00396896 23 1 537.93837033 0.00394803 24 1 537.85805356 0.00382997 25 3 536.74421598 . 26 1 536.64640357 0.00037500 27 1 536.63867344 0.00034415 28 1 536.63825058 0.00034452 29 1 536.63713616 0.00034162 30 1 536.63336260 0.00032630 31 1 536.62558558 0.00029316 32 1 536.61767096 0.00026747 33 1 536.59910158 0.00020074 34 1 536.55715766 0.00003851 35 1 536.54630048 0.00006000 36 1 536.52917130 0.00009471 37 1 536.50230027 0.00013929 The SAS System 3 11:16 Friday, September 18, 2009 The Mixed Procedure Iteration History Iteration Evaluations -2 Res Log Like Criterion 38 1 536.46321545 0.00018049 39 1 536.41356618 0.00018640 40 1 536.36403692 0.00012944 41 1 536.33151682 0.00004745 42 1 536.32036297 0.00001156 43 1 536.31739906 0.00001100 44 1 536.31431163 0.00001461 45 1 536.31027289 0.00001621 46 1 536.30591143 0.00001317 47 1 536.30252535 0.00000625 48 1 536.30102933 0.00000114 49 1 536.30078234 0.00000003 50 1 536.30077547 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate Alpha Lower Upper Var(1) study_id 0.03238 0.05 . 1.45E294 Var(2) study_id 6.5963 0.05 2.5370 41.5891 Var(3) study_id 10.0034 0.05 4.6691 34.5370 Var(4) study_id 0.5796 0.05 0.05335 6.681E22 ARH(1) study_id 0.4415 0.05 -0.2372 1.1202 Var(1) study_id 23.1000 . . . Var(2) study_id 27.8000 . . . Var(3) study_id 27.7000 . . . Var(4) study_id 29.5000 . . . ARH(1) study_id 0.9985 0.05 0.9962 1.0008 Fit Statistics -2 Res Log Likelihood 536.3 AIC (smaller is better) 548.3 AICC (smaller is better) 549.5 BIC (smaller is better) 559.3 The SAS System 4 11:16 Friday, September 18, 2009 The Mixed Procedure PARMS Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 6 80.22 <.0001 Solution for Fixed Effects Standard Effect meas_time Estimate Error DF t Value Pr > |t| Alpha meas_time 1 -26.2765 1.8629 1000 -14.11 <.0001 0.05 meas_time 2 -27.7320 2.0523 1000 -13.51 <.0001 0.05 meas_time 3 -29.0810 2.1210 1000 -13.71 <.0001 0.05 meas_time 4 -28.0938 2.5483 1000 -11.02 <.0001 0.05 Solution for Fixed Effects Effect meas_time Lower Upper meas_time 1 -29.9322 -22.6209 meas_time 2 -31.7594 -23.7046 meas_time 3 -33.2432 -24.9187 meas_time 4 -33.0945 -23.0931 Solution for Random Effects Std Err Effect study_id meas_time Estimate Pred DF t Value Pr > |t| meas_time 1 1 -0.00070 0.1799 0 -0.00 . meas_time 1 2 -0.00440 2.5683 0 -0.00 . meas_time 1 3 -0.00239 3.1628 0 -0.00 . meas_time 1 4 -0.00025 0.7613 0 -0.00 . meas_time 2 1 -0.05046 0.1784 0 -0.28 . meas_time 2 2 -2.1899 2.3667 0 -0.93 . meas_time 2 3 -6.4121 1.2341 0 -5.20 . meas_time 2 4 -0.6814 0.6956 0 -0.98 . meas_time 3 1 0.000994 0.1799 0 0.01 . meas_time 3 2 0.006262 2.5683 0 0.00 . meas_time 3 3 0.003405 3.1628 0 0.00 . meas_time 3 4 0.000362 0.7613 0 0.00 . meas_time 4 1 0.01500 0.1690 0 0.09 . meas_time 4 2 0.6987 1.0693 0 0.65 . meas_time 4 3 5.2868 1.2294 0 4.30 . meas_time 4 4 0.5619 0.6955 0 0.81 . meas_time 5 1 -0.00030 0.1799 0 -0.00 . The SAS System 5 11:16 Friday, September 18, 2009 The Mixed Procedure Solution for Random Effects Std Err Effect study_id meas_time Estimate Pred DF t Value Pr > |t| meas_time 5 2 -0.00979 2.5659 0 -0.00 . meas_time 5 3 -0.00532 3.1622 0 -0.00 . meas_time 5 4 -0.00057 0.7613 0 -0.00 . meas_time 6 1 -0.03402 0.1688 0 -0.20 . meas_time 6 2 -1.3041 0.9823 0 -1.33 . meas_time 6 3 -0.7090 2.8877 0 -0.25 . meas_time 6 4 -0.07535 0.7489 0 -0.10 . meas_time 7 1 0.01733 0.1797 0 0.10 . meas_time 7 2 0.9226 2.5149 0 0.37 . meas_time 7 3 2.7703 2.7487 0 1.01 . meas_time 7 4 0.2944 0.7430 0 0.40 . meas_time 8 1 0.001163 0.1797 0 0.01 . meas_time 8 2 0.03761 2.5507 0 0.01 . meas_time 8 3 0.02045 3.1586 0 0.01 . meas_time 8 4 0.002173 0.7611 0 0.00 . meas_time 9 1 -0.00517 0.1797 0 -0.03 . meas_time 9 2 -0.1671 2.5519 0 -0.07 . meas_time 9 3 -0.4661 3.0578 0 -0.15 . meas_time 9 4 -0.04953 0.7565 0 -0.07 . meas_time 10 1 0.09723 0.1667 0 0.58 . meas_time 10 2 3.1434 1.3473 0 2.33 . meas_time 10 3 1.5741 1.3786 0 1.14 . meas_time 10 4 0.01734 0.7337 0 0.02 . meas_time 11 1 0.003405 0.1798 0 0.02 . meas_time 11 2 0.1101 2.5610 0 0.04 . meas_time 11 3 0.05985 3.1610 0 0.02 . meas_time 11 4 0.006361 0.7612 0 0.01 . meas_time 12 1 -0.05494 0.1702 0 -0.32 . meas_time 12 2 -2.0630 1.3406 0 -1.54 . meas_time 12 3 -1.1216 2.9300 0 -0.38 . meas_time 12 4 -0.1192 0.7507 0 -0.16 . meas_time 13 1 -0.03268 0.1771 0 -0.18 . meas_time 13 2 -1.0564 2.3518 0 -0.45 . meas_time 13 3 -2.9467 1.3090 0 -2.25 . meas_time 13 4 -0.1865 0.7358 0 -0.25 . meas_time 14 1 -0.03439 0.1772 0 -0.19 . meas_time 14 2 -1.1117 2.3577 0 -0.47 . meas_time 14 3 -3.1009 1.3896 0 -2.23 . meas_time 14 4 -0.1912 0.7423 0 -0.26 . meas_time 15 1 0.1475 0.1683 0 0.88 . meas_time 15 2 5.4908 0.9358 0 5.87 . meas_time 15 3 1.3976 1.1329 0 1.23 . meas_time 15 4 0.1485 0.6936 0 0.21 . meas_time 16 1 -0.00459 0.1773 0 -0.03 . The SAS System 6 11:16 Friday, September 18, 2009 The Mixed Procedure Solution for Random Effects Std Err Effect study_id meas_time Estimate Pred DF t Value Pr > |t| meas_time 16 2 -0.1484 2.3658 0 -0.06 . meas_time 16 3 -0.4138 1.4934 0 -0.28 . meas_time 16 4 -0.01923 0.7419 0 -0.03 . meas_time 17 1 -0.00228 0.1798 0 -0.01 . meas_time 17 2 -0.07383 2.5573 0 -0.03 . meas_time 17 3 -0.04014 3.1602 0 -0.01 . meas_time 17 4 -0.00427 0.7612 0 -0.01 . meas_time 18 1 -0.00012 0.1798 0 -0.00 . meas_time 18 2 -0.00373 2.5603 0 -0.00 . meas_time 18 3 -0.01042 3.1115 0 -0.00 . meas_time 18 4 -0.00111 0.7589 0 -0.00 . meas_time 19 1 -0.05239 0.1676 0 -0.31 . meas_time 19 2 -1.7545 0.8629 0 -2.03 . meas_time 19 3 1.0387 1.0269 0 1.01 . meas_time 19 4 0.1104 0.6918 0 0.16 . meas_time 20 1 0.001324 0.1799 0 0.01 . meas_time 20 2 0.04279 2.5648 0 0.02 . meas_time 20 3 0.1194 3.1406 0 0.04 . meas_time 20 4 0.01268 0.7603 0 0.02 . meas_time 21 1 -0.00053 0.1799 0 -0.00 . meas_time 21 2 -0.00335 2.5683 0 -0.00 . meas_time 21 3 -0.00182 3.1628 0 -0.00 . meas_time 21 4 -0.00019 0.7613 0 -0.00 . meas_time 22 1 -0.00117 0.1799 0 -0.01 . meas_time 22 2 -0.03794 2.5642 0 -0.01 . meas_time 22 3 -0.1058 3.1364 0 -0.03 . meas_time 22 4 -0.01125 0.7601 0 -0.01 . meas_time 23 1 -0.00288 0.1797 0 -0.02 . meas_time 23 2 -0.09326 2.5517 0 -0.04 . meas_time 23 3 -0.05070 3.1588 0 -0.02 . meas_time 23 4 -0.00539 0.7611 0 -0.01 . meas_time 24 1 -0.00220 0.1797 0 -0.01 . meas_time 24 2 -0.07128 2.5500 0 -0.03 . meas_time 24 3 -0.03875 3.1584 0 -0.01 . meas_time 24 4 -0.00412 0.7611 0 -0.01 . meas_time 25 1 0.04158 0.1692 0 0.25 . meas_time 25 2 1.1019 1.3743 0 0.80 . meas_time 25 3 0.08467 1.4976 0 0.06 . meas_time 25 4 -0.1924 0.7124 0 -0.27 . meas_time 26 1 0.004615 0.1785 0 0.03 . meas_time 26 2 0.2144 2.3773 0 0.09 . meas_time 26 3 0.6336 1.4023 0 0.45 . meas_time 26 4 0.06733 0.6992 0 0.10 . meas_time 27 1 0.01141 0.1766 0 0.06 . The SAS System 7 11:16 Friday, September 18, 2009 The Mixed Procedure Solution for Random Effects Std Err Effect study_id meas_time Estimate Pred DF t Value Pr > |t| meas_time 27 2 0.3044 2.3451 0 0.13 . meas_time 27 3 0.8140 1.0457 0 0.78 . meas_time 27 4 0.05639 0.6879 0 0.08 . meas_time 28 1 -0.00008 0.1797 0 -0.00 . meas_time 28 2 -0.00250 2.5540 0 -0.00 . meas_time 28 3 -0.00698 3.0712 0 -0.00 . meas_time 28 4 -0.00074 0.7571 0 -0.00 . meas_time 29 1 -0.00230 0.1796 0 -0.01 . meas_time 29 2 -0.07450 2.5444 0 -0.03 . meas_time 29 3 -0.04051 3.1571 0 -0.01 . meas_time 29 4 -0.00430 0.7611 0 -0.01 . meas_time 30 1 0.01463 0.1789 0 0.08 . meas_time 30 2 0.6755 2.4217 0 0.28 . meas_time 30 3 1.9945 1.9122 0 1.04 . meas_time 30 4 0.2120 0.7127 0 0.30 . meas_time 31 1 -0.00040 0.1799 0 -0.00 . meas_time 31 2 -0.00251 2.5683 0 -0.00 . meas_time 31 3 -0.00136 3.1628 0 -0.00 . meas_time 31 4 -0.00014 0.7613 0 -0.00 . meas_time 32 1 -0.01502 0.1699 0 -0.09 . meas_time 32 2 -0.7226 1.3198 0 -0.55 . meas_time 32 3 -3.6834 1.6609 0 -2.22 . meas_time 32 4 -0.3915 0.7056 0 -0.55 . meas_time 33 1 0.01666 0.1668 0 0.10 . meas_time 33 2 0.9533 0.9935 0 0.96 . meas_time 33 3 3.0706 1.1548 0 2.66 . meas_time 33 4 0.3739 0.6878 0 0.54 . meas_time 34 1 0.000428 0.1799 0 0.00 . meas_time 34 2 0.002698 2.5683 0 0.00 . meas_time 34 3 0.001467 3.1628 0 0.00 . meas_time 34 4 0.000156 0.7613 0 0.00 . meas_time 35 1 0.000104 0.1799 0 0.00 . meas_time 35 2 0.003352 2.5683 0 0.00 . meas_time 35 3 0.009349 3.1625 0 0.00 . meas_time 35 4 0.005097 0.7610 0 0.01 . meas_time 36 1 -0.00099 0.1799 0 -0.01 . meas_time 36 2 -0.03192 2.5651 0 -0.01 . meas_time 36 3 -0.08904 3.1425 0 -0.03 . meas_time 36 4 -0.00946 0.7604 0 -0.01 . meas_time 37 1 0.000110 0.1799 0 0.00 . meas_time 37 2 0.003557 2.5683 0 0.00 . meas_time 37 3 0.009921 3.1625 0 0.00 . meas_time 37 4 0.005409 0.7610 0 0.01 . meas_time 38 1 0.05689 0.1682 0 0.34 . The SAS System 8 11:16 Friday, September 18, 2009 The Mixed Procedure Solution for Random Effects Std Err Effect study_id meas_time Estimate Pred DF t Value Pr > |t| meas_time 38 2 1.9870 0.8700 0 2.28 . meas_time 38 3 1.3259 0.9840 0 1.35 . meas_time 38 4 0.1409 0.6911 0 0.20 . meas_time 39 1 0.000279 0.1799 0 0.00 . meas_time 39 2 0.001760 2.5683 0 0.00 . meas_time 39 3 0.000957 3.1628 0 0.00 . meas_time 39 4 0.000102 0.7613 0 0.00 . meas_time 40 1 0.01934 0.1773 0 0.11 . meas_time 40 2 0.6253 2.3677 0 0.26 . meas_time 40 3 -1.0877 2.5828 0 -0.42 . meas_time 40 4 -0.1156 0.7362 0 -0.16 . meas_time 41 1 0.001370 0.1799 0 0.01 . meas_time 41 2 0.008630 2.5683 0 0.00 . meas_time 41 3 0.004692 3.1628 0 0.00 . meas_time 41 4 0.000499 0.7613 0 0.00 . meas_time 42 1 -0.02046 0.1773 0 -0.12 . meas_time 42 2 -0.6615 2.3723 0 -0.28 . meas_time 42 3 -0.2729 3.1366 0 -0.09 . meas_time 42 4 0.01832 0.7608 0 0.02 . meas_time 43 1 -0.04400 0.1677 0 -0.26 . meas_time 43 2 -1.6018 0.9507 0 -1.68 . meas_time 43 3 -0.8709 2.8846 0 -0.30 . meas_time 43 4 -0.09255 0.7487 0 -0.12 . meas_time 44 1 -0.02688 0.1683 0 -0.16 . meas_time 44 2 -1.1241 1.1977 0 -0.94 . meas_time 44 3 -1.7293 1.3561 0 -1.28 . meas_time 44 4 -0.1954 0.6980 0 -0.28 . meas_time 45 1 -0.06250 0.1769 0 -0.35 . meas_time 45 2 -2.0206 2.3379 0 -0.86 . meas_time 45 3 2.9871 2.6955 0 1.11 . meas_time 45 4 0.3175 0.7407 0 0.43 . meas_time 46 1 0.000143 0.1799 0 0.00 . meas_time 46 2 0.000904 2.5683 0 0.00 . meas_time 46 3 0.000492 3.1628 0 0.00 . meas_time 46 4 0.000052 0.7613 0 0.00 . Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F meas_time 4 1000 63.41 <.0001