SAS Model 2b: Random Linear Time |
Model Information | |
---|---|
Data Set | WORK.EXAMPLE23 |
Dependent Variable | nm3rt |
Covariance Structures | Unstructured, Variance Components |
Subject Effects | ID, ID |
Estimation Method | REML |
Residual Variance Method | Parameter |
Fixed Effects SE Method | Model-Based |
Degrees of Freedom Method | Satterthwaite |
Dimensions | |
---|---|
Covariance Parameters | 4 |
Columns in X | 2 |
Columns in Z Per Subject | 2 |
Subjects | 101 |
Max Obs Per Subject | 6 |
Number of Observations | |
---|---|
Number of Observations Read | 606 |
Number of Observations Used | 606 |
Number of Observations Not Used | 0 |
Estimated R Matrix for ID 101 | ||||||
---|---|---|---|---|---|---|
Row | Col1 | Col2 | Col3 | Col4 | Col5 | Col6 |
1 | 27905 | |||||
2 | 27905 | |||||
3 | 27905 | |||||
4 | 27905 | |||||
5 | 27905 | |||||
6 | 27905 |
Estimated G Matrix | ||||
---|---|---|---|---|
Row | Effect | ID: Participant ID | Col1 | Col2 |
1 | Intercept | 101 | 253258 | -12701 |
2 | c1sess | 101 | -12701 | 2233.83 |
Estimated V Matrix for ID 101 | ||||||
---|---|---|---|---|---|---|
Row | Col1 | Col2 | Col3 | Col4 | Col5 | Col6 |
1 | 281163 | 240557 | 227856 | 215155 | 202455 | 189754 |
2 | 240557 | 257995 | 219623 | 209156 | 198689 | 188222 |
3 | 227856 | 219623 | 239295 | 203157 | 194924 | 186691 |
4 | 215155 | 209156 | 203157 | 225063 | 191158 | 185159 |
5 | 202455 | 198689 | 194924 | 191158 | 215298 | 183627 |
6 | 189754 | 188222 | 186691 | 185159 | 183627 | 210001 |
Covariance Parameter Estimates | |||||
---|---|---|---|---|---|
Cov Parm | Subject | Estimate | Standard Error | Z Value | Pr Z |
UN(1,1) | ID | 253258 | 37897 | 6.68 | <.0001 |
UN(2,1) | ID | -12701 | 3621.98 | -3.51 | 0.0005 |
UN(2,2) | ID | 2233.83 | 552.92 | 4.04 | <.0001 |
session | ID | 27905 | 1963.42 | 14.21 | <.0001 |
Fit Statistics | |
---|---|
-2 Res Log Likelihood | 8372.1 |
AIC (smaller is better) | 8380.1 |
AICC (smaller is better) | 8380.2 |
BIC (smaller is better) | 8390.6 |
Null Model Likelihood Ratio Test | ||
---|---|---|
DF | Chi-Square | Pr > ChiSq |
3 | 830.20 | <.0001 |
Solution for Fixed Effects | |||||
---|---|---|---|---|---|
Effect | Estimate | Standard Error | DF | t Value | Pr > |t| |
Intercept | 1899.63 | 51.4998 | 100 | 36.89 | <.0001 |
c1sess | -51.5719 | 6.1567 | 100 | -8.38 | <.0001 |
Solution for Random Effects | ||||||
---|---|---|---|---|---|---|
Effect | ID: Participant ID | Estimate | Std Err Pred | DF | t Value | Pr > |t| |
Intercept | 101 | 664.70 | 113.28 | 440 | 5.87 | <.0001 |
c1sess | 101 | -26.7006 | 29.9792 | 147 | -0.89 | 0.3746 |
Intercept | 102 | 564.49 | 113.28 | 440 | 4.98 | <.0001 |
c1sess | 102 | -28.1081 | 29.9792 | 147 | -0.94 | 0.3500 |
Intercept | 105 | 196.33 | 113.28 | 440 | 1.73 | 0.0838 |
c1sess | 105 | -27.0727 | 29.9792 | 147 | -0.90 | 0.3680 |
Intercept | 106 | -265.94 | 113.28 | 440 | -2.35 | 0.0193 |
c1sess | 106 | 2.7248 | 29.9792 | 147 | 0.09 | 0.9277 |
Intercept | 107 | -281.82 | 113.28 | 440 | -2.49 | 0.0132 |
c1sess | 107 | 13.4967 | 29.9792 | 147 | 0.45 | 0.6532 |
Intercept | 108 | 577.33 | 113.28 | 440 | 5.10 | <.0001 |
c1sess | 108 | 3.7294 | 29.9792 | 147 | 0.12 | 0.9012 |
Intercept | 109 | -542.02 | 113.28 | 440 | -4.79 | <.0001 |
c1sess | 109 | 24.4079 | 29.9792 | 147 | 0.81 | 0.4169 |
Intercept | 110 | -80.6225 | 113.28 | 440 | -0.71 | 0.4770 |
c1sess | 110 | 14.5905 | 29.9792 | 147 | 0.49 | 0.6272 |
Intercept | 111 | -553.67 | 113.28 | 440 | -4.89 | <.0001 |
c1sess | 111 | 40.4271 | 29.9792 | 147 | 1.35 | 0.1796 |
Intercept | 112 | -192.75 | 113.28 | 440 | -1.70 | 0.0895 |
c1sess | 112 | -3.2564 | 29.9792 | 147 | -0.11 | 0.9136 |
Intercept | 113 | -33.4243 | 113.28 | 440 | -0.30 | 0.7681 |
c1sess | 113 | -4.3237 | 29.9792 | 147 | -0.14 | 0.8855 |
Intercept | 116 | -487.19 | 113.28 | 440 | -4.30 | <.0001 |
c1sess | 116 | 14.4687 | 29.9792 | 147 | 0.48 | 0.6301 |
Intercept | 117 | 38.0958 | 113.28 | 440 | 0.34 | 0.7368 |
c1sess | 117 | 13.1806 | 29.9792 | 147 | 0.44 | 0.6608 |
Intercept | 118 | -76.2381 | 113.28 | 440 | -0.67 | 0.5013 |
c1sess | 118 | 12.0782 | 29.9792 | 147 | 0.40 | 0.6876 |
Intercept | 120 | -557.71 | 113.28 | 440 | -4.92 | <.0001 |
c1sess | 120 | 51.9903 | 29.9792 | 147 | 1.73 | 0.0850 |
Intercept | 121 | 83.3417 | 113.28 | 440 | 0.74 | 0.4623 |
c1sess | 121 | 74.6287 | 29.9792 | 147 | 2.49 | 0.0139 |
Intercept | 124 | 244.45 | 113.28 | 440 | 2.16 | 0.0315 |
c1sess | 124 | -4.5897 | 29.9792 | 147 | -0.15 | 0.8785 |
Intercept | 125 | 297.46 | 113.28 | 440 | 2.63 | 0.0089 |
c1sess | 125 | -0.07391 | 29.9792 | 147 | -0.00 | 0.9980 |
Intercept | 126 | 731.69 | 113.28 | 440 | 6.46 | <.0001 |
c1sess | 126 | -26.4123 | 29.9792 | 147 | -0.88 | 0.3797 |
Intercept | 127 | 399.72 | 113.28 | 440 | 3.53 | 0.0005 |
c1sess | 127 | -4.9108 | 29.9792 | 147 | -0.16 | 0.8701 |
Intercept | 128 | -280.09 | 113.28 | 440 | -2.47 | 0.0138 |
c1sess | 128 | 26.3539 | 29.9792 | 147 | 0.88 | 0.3808 |
Intercept | 129 | 637.87 | 113.28 | 440 | 5.63 | <.0001 |
c1sess | 129 | -48.7862 | 29.9792 | 147 | -1.63 | 0.1058 |
Intercept | 130 | -228.39 | 113.28 | 440 | -2.02 | 0.0444 |
c1sess | 130 | -17.2486 | 29.9792 | 147 | -0.58 | 0.5659 |
Intercept | 131 | 1138.89 | 113.28 | 440 | 10.05 | <.0001 |
c1sess | 131 | -39.1319 | 29.9792 | 147 | -1.31 | 0.1938 |
Intercept | 132 | 454.85 | 113.28 | 440 | 4.02 | <.0001 |
c1sess | 132 | 11.1322 | 29.9792 | 147 | 0.37 | 0.7109 |
Intercept | 133 | -192.26 | 113.28 | 440 | -1.70 | 0.0904 |
c1sess | 133 | -12.7246 | 29.9792 | 147 | -0.42 | 0.6719 |
Intercept | 136 | 104.24 | 113.28 | 440 | 0.92 | 0.3579 |
c1sess | 136 | -44.1944 | 29.9792 | 147 | -1.47 | 0.1426 |
Intercept | 137 | 1541.37 | 113.28 | 440 | 13.61 | <.0001 |
c1sess | 137 | -192.81 | 29.9792 | 147 | -6.43 | <.0001 |
Intercept | 138 | 335.95 | 113.28 | 440 | 2.97 | 0.0032 |
c1sess | 138 | 16.6343 | 29.9792 | 147 | 0.55 | 0.5798 |
Intercept | 139 | 1849.27 | 113.28 | 440 | 16.33 | <.0001 |
c1sess | 139 | -38.1064 | 29.9792 | 147 | -1.27 | 0.2057 |
Intercept | 140 | 1053.84 | 113.28 | 440 | 9.30 | <.0001 |
c1sess | 140 | -86.6631 | 29.9792 | 147 | -2.89 | 0.0044 |
Intercept | 141 | -415.93 | 113.28 | 440 | -3.67 | 0.0003 |
c1sess | 141 | 27.0048 | 29.9792 | 147 | 0.90 | 0.3692 |
Intercept | 145 | 379.54 | 113.28 | 440 | 3.35 | 0.0009 |
c1sess | 145 | 44.5282 | 29.9792 | 147 | 1.49 | 0.1396 |
Intercept | 147 | -400.43 | 113.28 | 440 | -3.54 | 0.0005 |
c1sess | 147 | 36.7693 | 29.9792 | 147 | 1.23 | 0.2220 |
Intercept | 148 | -174.76 | 113.28 | 440 | -1.54 | 0.1236 |
c1sess | 148 | 3.8405 | 29.9792 | 147 | 0.13 | 0.8982 |
Intercept | 149 | 561.61 | 113.28 | 440 | 4.96 | <.0001 |
c1sess | 149 | -54.3153 | 29.9792 | 147 | -1.81 | 0.0721 |
Intercept | 150 | 571.27 | 113.28 | 440 | 5.04 | <.0001 |
c1sess | 150 | -64.4415 | 29.9792 | 147 | -2.15 | 0.0332 |
Intercept | 151 | 77.9535 | 113.28 | 440 | 0.69 | 0.4917 |
c1sess | 151 | 21.0467 | 29.9792 | 147 | 0.70 | 0.4838 |
Intercept | 153 | -694.79 | 113.28 | 440 | -6.13 | <.0001 |
c1sess | 153 | 24.1020 | 29.9792 | 147 | 0.80 | 0.4227 |
Intercept | 154 | 7.9083 | 113.28 | 440 | 0.07 | 0.9444 |
c1sess | 154 | 17.8408 | 29.9792 | 147 | 0.60 | 0.5527 |
Intercept | 501 | -423.92 | 113.28 | 440 | -3.74 | 0.0002 |
c1sess | 501 | 4.8303 | 29.9792 | 147 | 0.16 | 0.8722 |
Intercept | 502 | -415.05 | 113.28 | 440 | -3.66 | 0.0003 |
c1sess | 502 | -40.2521 | 29.9792 | 147 | -1.34 | 0.1815 |
Intercept | 504 | 26.3526 | 113.28 | 440 | 0.23 | 0.8161 |
c1sess | 504 | 1.4571 | 29.9792 | 147 | 0.05 | 0.9613 |
Intercept | 507 | 801.73 | 113.28 | 440 | 7.08 | <.0001 |
c1sess | 507 | -42.9666 | 29.9792 | 147 | -1.43 | 0.1539 |
Intercept | 508 | -402.49 | 113.28 | 440 | -3.55 | 0.0004 |
c1sess | 508 | 18.5660 | 29.9792 | 147 | 0.62 | 0.5367 |
Intercept | 509 | -538.73 | 113.28 | 440 | -4.76 | <.0001 |
c1sess | 509 | 47.5306 | 29.9792 | 147 | 1.59 | 0.1150 |
Intercept | 511 | 438.97 | 113.28 | 440 | 3.88 | 0.0001 |
c1sess | 511 | -29.2888 | 29.9792 | 147 | -0.98 | 0.3302 |
Intercept | 512 | 182.52 | 113.28 | 440 | 1.61 | 0.1078 |
c1sess | 512 | 6.2114 | 29.9792 | 147 | 0.21 | 0.8361 |
Intercept | 513 | -429.42 | 113.28 | 440 | -3.79 | 0.0002 |
c1sess | 513 | -3.7613 | 29.9792 | 147 | -0.13 | 0.9003 |
Intercept | 514 | 8.1290 | 113.28 | 440 | 0.07 | 0.9428 |
c1sess | 514 | -6.7175 | 29.9792 | 147 | -0.22 | 0.8230 |
Intercept | 515 | -465.23 | 113.28 | 440 | -4.11 | <.0001 |
c1sess | 515 | 29.7720 | 29.9792 | 147 | 0.99 | 0.3223 |
Intercept | 516 | -420.26 | 113.28 | 440 | -3.71 | 0.0002 |
c1sess | 516 | -2.2141 | 29.9792 | 147 | -0.07 | 0.9412 |
Intercept | 517 | -411.38 | 113.28 | 440 | -3.63 | 0.0003 |
c1sess | 517 | -6.1286 | 29.9792 | 147 | -0.20 | 0.8383 |
Intercept | 518 | -733.69 | 113.28 | 440 | -6.48 | <.0001 |
c1sess | 518 | 11.3735 | 29.9792 | 147 | 0.38 | 0.7050 |
Intercept | 519 | -529.64 | 113.28 | 440 | -4.68 | <.0001 |
c1sess | 519 | 20.2085 | 29.9792 | 147 | 0.67 | 0.5013 |
Intercept | 520 | 241.95 | 113.28 | 440 | 2.14 | 0.0332 |
c1sess | 520 | -14.9717 | 29.9792 | 147 | -0.50 | 0.6182 |
Intercept | 521 | 34.2640 | 113.28 | 440 | 0.30 | 0.7624 |
c1sess | 521 | 80.3132 | 29.9792 | 147 | 2.68 | 0.0082 |
Intercept | 522 | 338.19 | 113.28 | 440 | 2.99 | 0.0030 |
c1sess | 522 | -13.4860 | 29.9792 | 147 | -0.45 | 0.6535 |
Intercept | 523 | 116.23 | 113.28 | 440 | 1.03 | 0.3054 |
c1sess | 523 | 3.9536 | 29.9792 | 147 | 0.13 | 0.8953 |
Intercept | 524 | 79.7268 | 113.28 | 440 | 0.70 | 0.4819 |
c1sess | 524 | 20.1113 | 29.9792 | 147 | 0.67 | 0.5034 |
Intercept | 525 | 359.86 | 113.28 | 440 | 3.18 | 0.0016 |
c1sess | 525 | 36.3668 | 29.9792 | 147 | 1.21 | 0.2271 |
Intercept | 526 | 77.4778 | 113.28 | 440 | 0.68 | 0.4943 |
c1sess | 526 | -17.9443 | 29.9792 | 147 | -0.60 | 0.5504 |
Intercept | 527 | -348.21 | 113.28 | 440 | -3.07 | 0.0022 |
c1sess | 527 | 6.4270 | 29.9792 | 147 | 0.21 | 0.8305 |
Intercept | 528 | 626.46 | 113.28 | 440 | 5.53 | <.0001 |
c1sess | 528 | 37.5502 | 29.9792 | 147 | 1.25 | 0.2124 |
Intercept | 529 | -568.33 | 113.28 | 440 | -5.02 | <.0001 |
c1sess | 529 | 50.3120 | 29.9792 | 147 | 1.68 | 0.0954 |
Intercept | 530 | -179.97 | 113.28 | 440 | -1.59 | 0.1128 |
c1sess | 530 | 11.3796 | 29.9792 | 147 | 0.38 | 0.7048 |
Intercept | 531 | 190.47 | 113.28 | 440 | 1.68 | 0.0934 |
c1sess | 531 | 28.0448 | 29.9792 | 147 | 0.94 | 0.3511 |
Intercept | 532 | 493.46 | 113.28 | 440 | 4.36 | <.0001 |
c1sess | 532 | 11.6861 | 29.9792 | 147 | 0.39 | 0.6972 |
Intercept | 533 | -7.2608 | 113.28 | 440 | -0.06 | 0.9489 |
c1sess | 533 | -28.3562 | 29.9792 | 147 | -0.95 | 0.3458 |
Intercept | 534 | -46.3333 | 113.28 | 440 | -0.41 | 0.6827 |
c1sess | 534 | 1.4683 | 29.9792 | 147 | 0.05 | 0.9610 |
Intercept | 535 | -550.60 | 113.28 | 440 | -4.86 | <.0001 |
c1sess | 535 | 29.5429 | 29.9792 | 147 | 0.99 | 0.3260 |
Intercept | 536 | -78.8282 | 113.28 | 440 | -0.70 | 0.4869 |
c1sess | 536 | 22.3094 | 29.9792 | 147 | 0.74 | 0.4580 |
Intercept | 537 | -495.58 | 113.28 | 440 | -4.38 | <.0001 |
c1sess | 537 | 3.9296 | 29.9792 | 147 | 0.13 | 0.8959 |
Intercept | 538 | -156.40 | 113.28 | 440 | -1.38 | 0.1681 |
c1sess | 538 | 3.7038 | 29.9792 | 147 | 0.12 | 0.9018 |
Intercept | 539 | -272.29 | 113.28 | 440 | -2.40 | 0.0166 |
c1sess | 539 | -31.9593 | 29.9792 | 147 | -1.07 | 0.2882 |
Intercept | 540 | -417.12 | 113.28 | 440 | -3.68 | 0.0003 |
c1sess | 540 | 35.5456 | 29.9792 | 147 | 1.19 | 0.2377 |
Intercept | 541 | 176.81 | 113.28 | 440 | 1.56 | 0.1193 |
c1sess | 541 | -70.0254 | 29.9792 | 147 | -2.34 | 0.0209 |
Intercept | 542 | -425.01 | 113.28 | 440 | -3.75 | 0.0002 |
c1sess | 542 | 16.5570 | 29.9792 | 147 | 0.55 | 0.5816 |
Intercept | 543 | -515.27 | 113.28 | 440 | -4.55 | <.0001 |
c1sess | 543 | 12.3561 | 29.9792 | 147 | 0.41 | 0.6808 |
Intercept | 544 | 376.41 | 113.28 | 440 | 3.32 | 0.0010 |
c1sess | 544 | -18.9358 | 29.9792 | 147 | -0.63 | 0.5286 |
Intercept | 545 | -824.63 | 113.28 | 440 | -7.28 | <.0001 |
c1sess | 545 | 40.8950 | 29.9792 | 147 | 1.36 | 0.1746 |
Intercept | 546 | 57.1173 | 113.28 | 440 | 0.50 | 0.6143 |
c1sess | 546 | -14.2554 | 29.9792 | 147 | -0.48 | 0.6351 |
Intercept | 547 | -387.17 | 113.28 | 440 | -3.42 | 0.0007 |
c1sess | 547 | 14.2645 | 29.9792 | 147 | 0.48 | 0.6349 |
Intercept | 548 | -110.17 | 113.28 | 440 | -0.97 | 0.3313 |
c1sess | 548 | 4.9055 | 29.9792 | 147 | 0.16 | 0.8702 |
Intercept | 549 | 41.9679 | 113.28 | 440 | 0.37 | 0.7112 |
c1sess | 549 | -27.1337 | 29.9792 | 147 | -0.91 | 0.3669 |
Intercept | 550 | -360.20 | 113.28 | 440 | -3.18 | 0.0016 |
c1sess | 550 | 8.9446 | 29.9792 | 147 | 0.30 | 0.7659 |
Intercept | 551 | 1201.25 | 113.28 | 440 | 10.60 | <.0001 |
c1sess | 551 | -21.8869 | 29.9792 | 147 | -0.73 | 0.4665 |
Intercept | 552 | -427.11 | 113.28 | 440 | -3.77 | 0.0002 |
c1sess | 552 | -3.3220 | 29.9792 | 147 | -0.11 | 0.9119 |
Intercept | 553 | 311.48 | 113.28 | 440 | 2.75 | 0.0062 |
c1sess | 553 | -15.7823 | 29.9792 | 147 | -0.53 | 0.5994 |
Intercept | 554 | -441.37 | 113.28 | 440 | -3.90 | 0.0001 |
c1sess | 554 | 30.0933 | 29.9792 | 147 | 1.00 | 0.3171 |
Intercept | 555 | -49.9457 | 113.28 | 440 | -0.44 | 0.6595 |
c1sess | 555 | -50.0252 | 29.9792 | 147 | -1.67 | 0.0973 |
Intercept | 556 | 282.01 | 113.28 | 440 | 2.49 | 0.0132 |
c1sess | 556 | -6.9185 | 29.9792 | 147 | -0.23 | 0.8178 |
Intercept | 557 | 83.6736 | 113.28 | 440 | 0.74 | 0.4605 |
c1sess | 557 | -88.5578 | 29.9792 | 147 | -2.95 | 0.0037 |
Intercept | 558 | -57.4848 | 113.28 | 440 | -0.51 | 0.6121 |
c1sess | 558 | 40.1290 | 29.9792 | 147 | 1.34 | 0.1828 |
Intercept | 559 | -767.81 | 113.28 | 440 | -6.78 | <.0001 |
c1sess | 559 | 26.9457 | 29.9792 | 147 | 0.90 | 0.3702 |
Intercept | 560 | -471.41 | 113.28 | 440 | -4.16 | <.0001 |
c1sess | 560 | 32.2422 | 29.9792 | 147 | 1.08 | 0.2839 |
Intercept | 561 | 57.6257 | 113.28 | 440 | 0.51 | 0.6112 |
c1sess | 561 | -7.6254 | 29.9792 | 147 | -0.25 | 0.7996 |
Intercept | 562 | -314.94 | 113.28 | 440 | -2.78 | 0.0057 |
c1sess | 562 | 11.0044 | 29.9792 | 147 | 0.37 | 0.7141 |
Intercept | 563 | -229.06 | 113.28 | 440 | -2.02 | 0.0438 |
c1sess | 563 | 33.5516 | 29.9792 | 147 | 1.12 | 0.2649 |
Intercept | 564 | -127.83 | 113.28 | 440 | -1.13 | 0.2597 |
c1sess | 564 | -33.2313 | 29.9792 | 147 | -1.11 | 0.2695 |
Intercept | 565 | -258.15 | 113.28 | 440 | -2.28 | 0.0231 |
c1sess | 565 | 30.1600 | 29.9792 | 147 | 1.01 | 0.3161 |
Type 3 Tests of Fixed Effects | ||||
---|---|---|---|---|
Effect | Num DF | Den DF | F Value | Pr > F |
c1sess | 1 | 100 | 70.17 | <.0001 |