/* ---------------------------------------------------------- file: calis.trauma.sas Example of fitting structural equation models with latent variables. Hypothesis to be tested is a mediational model where attachment style mediates the relationship between trauma and outcome measures click the documentation link to view path diagrams of the different models ---------------------------------------------------------------------- */ /* --- Read in the data --- */ DATA tao; INPUT idnum trauma1 trauma2 trauma3 attach1 attach2 attach3 outcom1 outcom2 outcom3; DATALINES; 1 -0.7377 -1.3992 0.3786 0.1240 -0.7476 1.1773 -0.8993 -0.9613 -2.1679 2 -0.2470 -0.7514 -1.8164 -0.5660 -0.7155 -1.0955 0.5482 -1.9581 1.5881 3 0.9010 -0.2897 0.1567 0.5892 1.3017 1.1058 -0.3584 -0.1447 -0.6765 4 -0.3679 -0.5077 0.5261 -1.7343 -0.5144 0.4022 -0.2079 0.6030 -0.9624 5 -0.6803 -0.2400 -0.7079 2.2285 1.4611 0.8157 -0.6190 0.8238 1.0491 6 -0.9039 0.3732 -0.3524 0.8808 -0.6480 1.5479 -0.8768 -2.3523 -1.9708 7 0.1318 -0.4819 -0.9511 -0.5624 0.2891 0.1347 -3.1258 0.1027 -0.8453 8 0.3008 0.3605 -0.3915 -0.7825 -1.7395 -1.7621 1.4535 0.1225 -1.7512 9 -1.2619 -0.2157 -0.8904 0.5322 1.2861 -0.9828 0.3385 0.3270 0.3132 10 1.0201 2.4620 2.3919 2.3049 1.4524 1.2865 0.0715 0.2072 0.4248 11 -0.2699 0.5812 0.3186 0.9001 0.6445 -1.1958 0.1111 0.8903 0.7656 12 -0.6307 -0.2328 0.1176 0.3572 -1.6768 -1.4434 -1.6180 -0.2079 -1.1797 13 -1.1109 -0.3954 -0.0465 0.4641 -0.3797 -0.0087 -0.3820 0.4767 -0.3959 14 -1.0872 -2.1925 -1.1778 -0.4092 -0.8864 0.8957 0.3802 -0.0424 -1.4775 15 0.0095 -0.7771 0.1432 0.1867 0.6561 0.5553 -0.6708 -1.9396 -0.9295 16 -2.7369 -2.8625 -3.7825 -1.2381 -1.1105 -1.2892 -0.2823 0.8375 -0.3890 17 -0.3649 -1.6358 -0.6260 -0.8310 -1.9618 -1.5850 0.0893 -1.2658 0.3561 18 0.0701 0.8387 0.9312 -0.1872 -0.3123 0.0301 -0.3932 0.9731 0.3221 19 -0.6768 -1.5517 -1.3942 0.7957 0.3323 1.4949 -0.4837 -0.4204 -0.7045 20 0.1450 -0.5294 -0.5176 -0.7704 0.6185 -0.7688 -0.0031 0.9675 0.6457 21 0.0423 1.0622 0.4956 -0.4640 0.2928 0.3313 0.6521 3.2138 0.8812 22 0.2462 0.1711 -0.0934 1.6978 -0.2299 -0.5304 -0.1231 0.1694 0.4537 23 -0.9274 1.0379 1.1733 -0.0806 -0.9858 0.6023 0.1542 -0.3596 1.0802 24 -0.1456 1.2641 -0.5577 0.0858 -0.2975 -1.0748 -0.4963 -0.2131 -1.8206 25 -1.0438 -1.3636 -1.6432 -1.9911 -1.7244 0.0522 0.3359 -1.8015 -1.3259 26 -0.4822 -0.5553 0.2450 1.2001 1.4150 0.8372 -1.1707 0.6567 -0.2547 27 1.5663 0.4173 1.9744 0.3250 2.0981 1.1928 1.7659 -0.6101 -0.8893 28 -0.1032 -0.7426 -0.2750 -0.6438 0.0108 0.0464 -0.2508 0.7271 0.1618 29 0.4809 0.2762 -0.7225 0.9197 1.6284 1.0067 0.6964 0.6065 1.4658 30 -0.2758 -0.2079 -0.6166 -0.2599 -0.7083 0.1034 -1.3810 -0.5966 -2.7256 31 -3.1085 -1.4288 -2.0074 -0.3471 -0.0438 -1.4745 -0.6139 -1.3507 0.2841 32 -1.3936 -1.3888 -1.7338 0.1289 -0.2660 -0.7699 -1.0754 0.3002 -1.3444 33 -1.1973 -0.1102 -1.0826 -0.7611 0.3080 -1.0932 -0.4826 0.9841 -0.9182 34 -0.5873 0.0869 -0.5591 0.6905 0.3896 -1.2674 0.7828 -0.9804 0.6900 35 0.5613 0.0717 -0.1707 0.1261 0.4368 0.8558 -0.5632 -0.7164 -0.9619 36 -1.0950 -1.2807 -1.0066 -1.1287 -2.7064 -1.0013 -1.2653 -0.9142 -0.7791 37 -0.7933 -0.0244 -1.0642 -1.0068 1.0306 -0.2975 -0.2808 -0.1319 0.1106 38 1.4379 1.3417 0.2443 -0.8115 0.6131 1.8314 1.2935 1.7205 2.0646 39 -0.4230 1.1764 -0.1575 -0.4436 -0.1669 0.0868 0.3542 1.3083 -0.2531 40 1.8662 1.8296 1.9863 0.7472 -0.1500 0.3794 -1.7482 -1.4542 -1.2385 41 -0.9827 -0.6111 -1.3459 -0.0276 0.4318 -1.2247 -0.3462 1.7338 -1.2547 42 0.7285 1.5932 -0.7371 0.5815 1.4177 -1.4500 -0.5094 1.2268 -0.7345 43 -0.1866 0.8053 -0.9130 -0.6330 -0.9225 0.0633 1.0952 1.5206 1.9760 44 -2.0969 -0.3144 0.8005 0.3757 2.5369 -0.9801 -0.5936 -0.3587 -0.3198 45 0.3210 0.7527 1.4212 -1.4294 0.2406 -0.5362 0.4792 0.9897 1.1380 46 -0.9645 -0.7179 -1.4099 -1.6186 -1.1531 -1.7689 -0.8352 -1.4474 -0.7801 47 0.1809 -0.6043 0.4194 -0.1601 0.3496 0.5866 -1.1569 -0.9457 -1.0051 48 1.0390 0.3345 1.2839 1.4499 1.0995 0.2293 0.2646 1.2517 -0.3626 49 -1.1228 1.7572 1.2158 0.6574 1.0803 0.1321 1.2804 0.8940 2.3898 50 0.4556 -0.3940 1.6175 0.8270 -0.7773 -0.5903 -0.6335 0.1458 -0.3352 51 -1.2098 -0.7649 -1.6323 -0.7808 -0.6602 -0.7649 -0.2165 -0.6381 -2.2124 52 0.8045 1.3441 1.4583 0.3985 -0.9768 0.4326 -0.3449 -0.8386 -2.2980 53 1.4464 -0.7436 -0.0583 1.2766 -0.4383 0.7230 -1.0758 0.0180 -1.1541 54 0.6293 0.0488 0.7178 1.4501 -0.1332 1.1254 0.6297 -0.0792 0.3284 55 -0.0256 0.7204 0.3853 0.1978 0.6756 0.2987 -1.5902 -0.6488 -0.6598 56 -0.4046 0.6721 0.3160 1.9553 0.5819 1.5629 0.8178 0.2734 0.3405 57 -0.0009 0.7752 -0.7114 -1.0059 0.0915 -0.1070 -0.4994 -1.2324 0.3610 58 -0.4362 0.0302 1.4491 0.4360 0.7017 0.4566 -1.1077 -1.1922 -0.2142 59 -0.4142 -1.2491 -0.4475 1.7724 0.0902 0.2876 -0.3866 0.1811 -1.8297 60 0.3422 -0.2717 -1.4680 -1.9891 -0.5559 -1.3742 0.0730 -0.9527 0.5268 61 1.3259 0.6390 -0.2820 -0.7553 -1.2294 0.5290 0.1623 -1.6044 1.6102 62 0.2967 0.3718 -0.1748 0.2447 0.3142 -0.8889 0.8558 1.3546 0.1303 63 -0.2655 2.5034 0.7504 -0.7304 0.0117 0.5630 0.4020 -0.1701 -0.3641 64 0.4162 -0.0595 0.0623 -1.0236 0.6448 1.0348 -1.6981 -0.4784 -1.7243 65 -1.6449 -1.0462 0.4236 1.1932 -0.2575 -0.0422 -2.1421 0.2977 -2.1108 66 1.5874 1.8291 0.4430 -0.9622 0.6158 -0.0893 0.3458 0.1532 -0.0405 67 0.3539 -1.1660 -0.0802 1.2566 -0.6995 -1.1513 -0.1238 -1.3271 1.2607 68 0.9722 2.8081 -0.3047 -0.9740 -0.1856 -1.6316 -2.2569 -0.8044 -2.8035 69 -0.8486 -0.3291 -0.9085 -0.1203 -0.6022 1.0132 -2.1127 -0.7377 -1.7287 70 0.2351 0.1785 -0.0110 -1.4150 -2.4540 -2.7716 0.2014 0.0658 0.0368 71 1.0422 0.1989 -1.1351 0.0081 -0.8762 -1.5238 -1.6500 -2.1566 -1.9234 72 -0.5609 -1.6830 -1.5114 -1.3416 -1.1439 -2.2336 1.5204 -1.4707 -0.7124 73 1.0864 1.1815 0.9854 -2.1120 0.7820 -0.7945 -1.6024 -1.7940 0.6023 74 0.3075 -0.0575 -0.8667 -0.4926 0.1324 -0.2394 0.3985 -1.0174 -1.6452 75 -1.0021 0.1263 -0.5876 0.9798 0.4204 -0.7800 -1.9556 -2.6666 -0.7164 76 0.0894 0.2843 0.0679 -0.5314 0.5854 -1.2587 -0.8167 -0.5587 0.9952 77 0.9094 0.8642 2.2140 -1.1648 -0.1309 -0.2400 0.3969 -0.1332 0.8648 78 0.8544 -0.2499 -0.0827 2.0594 -0.5967 1.3994 0.9153 -0.0659 0.1052 79 -1.6611 -0.8922 0.7059 -2.0377 -2.3362 -0.5990 -0.7567 -1.6680 -1.6536 80 0.2841 0.9436 0.5549 -0.2070 -0.0997 -0.4562 0.0101 -0.1145 -0.0266 81 -0.1789 -0.0817 -0.9251 1.5732 0.9014 1.6131 0.4326 -0.0611 0.3710 82 1.6644 1.4196 -1.5196 0.3397 1.3243 0.6837 -0.0635 1.1851 1.4879 83 1.2443 1.1743 -1.3855 0.3298 -0.2576 -0.2681 -0.2906 -0.1246 -0.2209 84 -0.7736 -1.4015 -1.4177 -2.0408 -2.5504 -1.0651 -1.4215 -0.4233 -0.4833 85 -0.4678 -0.2399 1.0145 -1.5155 -2.5763 -2.1803 -0.1464 -1.3105 -1.8002 86 -1.1146 -0.0935 -1.0649 0.1740 -0.7141 -0.1194 0.0074 -1.7546 0.3828 87 -0.6599 1.3705 1.1606 -0.0085 -0.0843 -0.8970 -0.1802 -1.1925 1.6679 88 1.7536 2.3871 3.1769 1.0525 0.7105 2.9140 2.1739 1.5011 1.4052 89 -0.7086 -0.0932 0.6653 -1.2423 -0.1865 0.8328 0.0810 -0.7671 0.2606 90 -0.7221 -1.0294 -0.9050 -0.1833 0.4686 0.7582 1.4121 0.9143 2.0738 91 0.0813 -1.7341 -0.0039 -0.9458 -0.9965 -0.2013 0.4462 1.4538 -0.9596 92 1.4126 1.1090 1.0116 0.0599 -0.5153 0.4214 -0.1364 0.4520 0.4711 93 0.7785 0.4112 -0.4530 1.6403 0.8637 0.3431 -1.7899 -0.8877 0.1495 94 -0.9335 0.3200 -1.2366 2.0713 1.6690 1.0126 0.5364 -0.9825 1.1218 95 -1.8783 -1.6134 -0.3488 -1.5885 -1.9569 -0.5680 -1.2083 -2.1289 -2.0932 96 0.7865 1.4916 0.1515 -0.1831 0.4861 0.6865 0.8821 -1.8445 1.3996 97 -1.4816 -1.2041 0.6472 1.2973 1.4678 -0.3054 0.2327 1.0493 1.4802 98 -1.0676 -0.1380 1.1833 -2.6919 -2.5994 -1.8163 -3.6282 -1.9742 -2.4375 99 0.4441 -1.6732 -1.8451 -0.3058 -0.2945 -0.7514 -0.7615 -0.7192 -1.4282 100 0.4567 -0.3646 0.3435 2.1632 1.2464 1.0238 1.5550 0.4570 0.6966 101 -0.3031 -0.1160 -0.6674 0.1142 -0.5747 -0.7714 -2.3928 -1.6660 -1.4211 102 -0.4088 0.0772 1.0087 0.8319 1.8424 0.7430 0.5572 0.3330 0.3170 103 0.6257 -0.1991 -0.5586 0.1679 0.7999 -0.8398 1.1206 0.9890 1.7766 104 0.4688 0.5613 -0.1621 -0.0587 -1.2479 -1.6971 -0.6488 -0.5790 0.1931 105 1.8027 1.3796 0.9878 1.1077 1.1505 0.6337 1.1374 0.6433 0.2027 106 0.8585 0.2372 0.5114 -0.0301 -0.0643 -0.6363 -0.8154 -1.1927 0.3305 107 -0.1439 0.6941 -0.3980 1.1675 0.5794 0.5332 -0.8463 0.3939 -0.2533 108 0.0386 -0.6911 1.4226 0.9582 -0.5728 0.2480 -1.2862 -1.1606 -0.5623 109 0.6942 2.8424 0.5547 -1.3164 -0.7610 -0.8389 0.9457 0.1219 0.1351 110 0.3203 0.8770 -0.5017 0.4245 -0.2298 -0.3510 -1.2054 -1.0050 -1.5587 111 2.1691 -0.5994 1.0599 -1.3175 -0.7714 0.3522 -1.2533 -0.5501 -0.1092 112 0.5707 -1.3339 -0.4252 1.4847 0.1029 -0.3122 0.0269 1.2202 -0.0007 113 -0.7519 0.4088 1.1380 -0.0677 0.1255 -1.0643 1.4386 -0.1127 1.4361 114 -0.6583 1.3519 -0.8096 -0.8056 0.0413 0.0335 -2.1092 -0.2174 -0.2440 115 1.2391 0.0201 -0.9001 -2.8039 0.2716 -0.4255 0.5365 0.0547 -1.1069 116 0.7513 -0.3259 -0.3422 0.3585 -0.1279 -1.0134 1.0732 0.8531 0.5665 117 -0.8120 -1.3977 2.5618 -0.3543 -0.5026 -1.2119 1.5594 1.0192 0.8854 118 1.0090 0.6289 0.2871 0.8737 1.5946 -0.3689 1.9477 0.4782 1.1020 119 -0.9071 0.7270 -0.0947 1.9587 -0.1981 -0.4979 -0.3714 -1.2997 -0.7908 120 -1.0535 -1.1717 -0.4116 -0.6030 0.4425 -0.7517 0.5073 -0.6862 0.0025 121 0.4035 0.0357 0.4126 0.4242 -1.7176 -1.0741 -0.2291 -0.9647 -0.7065 122 -0.2998 0.2063 0.2145 0.0324 0.9321 0.7734 0.5258 -0.0789 1.1283 123 -0.1377 -0.2597 -0.3550 -0.5638 -0.6011 -0.9229 0.8124 0.4019 1.0026 124 0.5434 1.8772 -0.5214 -1.6782 -0.9085 -1.7415 -0.7594 0.1389 0.5596 125 2.0004 1.2128 1.3437 0.7997 0.7179 1.3346 0.5309 0.4498 -0.3829 126 -1.6672 0.5659 0.0939 -0.5658 -0.6620 -0.3666 -1.6642 -0.3313 -1.1647 127 0.0340 -0.7912 -0.0093 -1.6117 -0.6296 -0.4152 -1.1472 -1.0727 -1.5704 128 -1.4216 -0.4689 -1.5720 0.4809 0.2169 1.4343 -0.6291 0.2110 0.4437 129 0.6529 1.7715 1.4266 -0.4634 1.0606 0.7717 0.6656 0.7726 1.2040 130 0.6555 -0.4804 1.4128 0.0857 -0.6617 -0.0859 -0.0990 0.7644 1.2079 131 -0.7367 -0.2212 0.3089 0.6202 0.7294 2.0102 0.5023 0.9217 -0.5547 132 0.4264 0.1623 0.2748 -1.0050 -1.0990 -1.0012 0.0978 -1.0528 -0.1944 133 1.0258 0.8676 2.4238 0.4453 1.6001 0.0922 1.3762 0.8852 0.9809 134 -0.3873 0.4440 1.1124 0.0208 0.0576 -0.9665 1.3836 1.4201 2.5130 135 0.1812 -0.7114 -0.2678 0.3355 1.1900 0.4084 0.8442 0.1925 2.0662 136 0.9352 1.3108 2.3903 0.6707 1.8794 0.0008 0.8919 0.3592 1.0799 137 0.9355 0.6318 -0.7597 0.7698 1.9278 0.8188 0.5582 0.4056 1.8260 138 0.0366 0.2787 -1.5339 0.3229 -0.0634 0.5344 -0.4951 -2.0954 -0.0440 139 -0.0393 -0.2077 1.4261 -0.0090 -0.2455 -0.1024 -0.1332 0.5542 -0.1038 140 0.4153 0.2957 0.7552 1.0586 0.1622 0.2514 -1.7500 -0.7220 -0.0981 141 0.6186 1.8497 -0.8713 0.7205 1.0194 -0.9137 -1.5907 0.0198 -0.0839 142 0.5406 0.3390 0.3167 1.2868 0.3559 0.0376 0.8759 1.5214 -0.0745 143 -2.1200 -0.3853 -0.2627 -1.9376 -1.1604 -0.7333 -0.4690 0.9342 0.3499 144 0.0904 0.0490 1.5276 0.8582 -0.8826 -0.0475 -1.1949 1.8428 0.4085 145 -0.9434 -1.5682 0.6792 0.6566 -1.3557 0.2112 -2.0945 -0.5357 -2.7743 146 1.2556 0.7561 0.1816 -0.5303 -1.0119 -0.0018 -0.6743 -0.8317 0.1858 147 0.9973 1.1645 0.8665 0.5840 1.4268 1.2203 1.4249 0.8907 0.2947 148 1.6302 -0.4244 -0.4847 0.3644 0.6156 -0.5639 0.3142 0.2913 -0.2657 149 -0.5081 -0.0181 -1.7952 -0.9208 -0.6616 -1.6797 -0.3643 -0.6820 -2.4199 150 -0.1670 0.6887 0.5993 -0.4692 0.0957 -0.7532 0.2465 -0.9876 -0.5647 151 0.6263 -0.1942 1.6554 0.1730 0.9476 1.1850 1.8588 1.2115 1.6405 152 0.4611 0.6661 0.7109 0.8071 0.4558 0.7000 0.5746 -1.0653 0.5589 153 0.6065 1.3207 0.7918 0.2252 -0.0989 -0.1298 -0.0050 0.1098 1.0171 154 -1.7400 0.0401 0.8741 0.0198 1.1759 -0.5426 0.2670 0.6248 -0.7034 155 0.5809 0.8876 -0.8054 0.9142 -0.0058 -0.7330 -0.6170 -0.9038 1.2719 156 -0.0019 1.8345 1.5095 -1.4509 0.1269 0.4085 1.2603 -1.0865 1.2203 157 -0.0290 -0.7202 -0.6772 0.7516 1.1705 1.6422 -0.2366 -0.6372 0.2505 158 0.8731 0.1312 -1.4283 0.3299 -0.9012 1.1947 -0.5339 -1.2402 0.6617 159 1.0208 0.9420 -1.1850 0.1851 2.5359 3.0633 0.8545 -0.6505 0.0215 160 0.9786 -1.2646 -0.8307 -1.3480 -0.8464 0.1792 -1.5990 -0.3101 -0.7527 161 0.2366 0.2926 1.1697 1.0616 0.0794 0.2100 0.3180 -0.3338 0.8780 162 -0.9160 0.7610 -0.5990 -1.3579 -1.2796 -0.6949 -1.7930 0.1348 -2.1228 163 0.6957 1.5809 0.3169 0.8960 0.6799 -0.7590 -0.0704 1.6949 -0.0161 164 -0.8687 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0.7414 499 -0.6470 0.4131 0.3473 -0.0652 -0.0994 -0.1582 -0.1632 0.6634 -0.1558 500 0.0172 -0.5662 -1.4028 -0.0993 -1.1499 -1.4375 -0.1646 0.4301 0.7599 RUN; OPTIONS NOCENTER NODATE PAGENO=1; TITLE Structural Equations with Latent Variables; TITLE2 Measurement Model; PROC CALIS DATA=tao CORR RESIDUAL; VAR trauma1 -- outcom3; LINEQS trauma1 = 1 f1 + et1, trauma2 = lam21 f1 + et2, trauma3 = lam31 f1 + et3, attach1 = 1 f2 + ea1, attach2 = lam22 f2 + ea2, attach3 = lam32 f2 + ea3, outcom1 = 1 f3 + eo1, outcom2 = lam23 f3 + eo2, outcom3 = lam33 f3 + eo3; STD f1 f2 f3 = vf1 vf2 vf3, et1-et3=vet1-vet3, ea1-ea3=vea1-vea3, eo1-eo3=veo1-veo3; COV f1 f2 = covf1f2, f1 f3 = covf1f3, f2 f3 = covf2f3; RUN; TITLE2 Multiple Regression Model on Latent Variables; PROC CALIS DATA=tao CORR RESIDUAL; VAR trauma1 -- outcom3; LINEQS trauma1 = 1 f1 + et1, trauma2 = lam21 f1 + et2, trauma3 = lam31 f1 + et3, attach1 = 1 f2 + ea1, attach2 = lam22 f2 + ea2, attach3 = lam32 f2 + ea3, outcom1 = 1 f3 + eo1, outcom2 = lam23 f3 + eo2, outcom3 = lam33 f3 + eo3, f3 = gam21 f1 + gam31 f2 + d3; STD f1 = vf1, f2= vf2, et1-et3=vet1-vet3, ea1-ea3=vea1-vea3, eo1-eo3=veo1-veo3, d3 = vd3; COV f1 f2 = covf1f2; RUN; TITLE2 Causal Model on Latent Variables; PROC CALIS DATA=tao CORR RESIDUAL; VAR trauma1 -- outcom3; LINEQS trauma1 = 1 f1 + et1, trauma2 = lam21 f1 + et2, trauma3 = lam31 f1 + et3, attach1 = 1 f2 + ea1, attach2 = lam22 f2 + ea2, attach3 = lam32 f2 + ea3, outcom1 = 1 f3 + eo1, outcom2 = lam23 f3 + eo2, outcom3 = lam33 f3 + eo3, f2 = gam21 f1 + d2, f3 = gam31 f1 + gam32 f2 + d3; STD f1 = vf1, et1-et3=vet1-vet3, ea1-ea3=vea1-vea3, eo1-eo3=veo1-veo3, d2 = vd2, d3 = vd3; RUN; TITLE2 Mediational Model on Latent Variables; PROC CALIS DATA=tao CORR RESIDUAL; VAR trauma1 -- outcom3; LINEQS trauma1 = 1 f1 + et1, trauma2 = lam21 f1 + et2, trauma3 = lam31 f1 + et3, attach1 = 1 f2 + ea1, attach2 = lam22 f2 + ea2, attach3 = lam32 f2 + ea3, outcom1 = 1 f3 + eo1, outcom2 = lam23 f3 + eo2, outcom3 = lam33 f3 + eo3, f2 = gam21 f1 + d2, f3 = 0.0 f1 + gam32 f2 + d3; STD f1 = vf1, et1-et3=vet1-vet3, ea1-ea3=vea1-vea3, eo1-eo3=veo1-veo3, d2 = vd2, d3 = vd3; RUN;