Test Characteristic or Expected Total Score Function Item Quantile Function Slope Std. Error 1 -2.500 36.0 9.9 4.3 2 -2.400 36.9 9.9 4.4 3 -2.300 38.0 10.4 4.4 4 -2.200 39.1 10.8 4.4 5 -2.100 40.2 11.0 4.4 6 -2.000 41.3 10.9 4.5 7 -1.900 42.4 10.9 4.5 8 -1.800 43.4 11.0 4.5 9 -1.700 44.5 11.1 4.5 10 -1.600 45.7 11.3 4.5 11 -1.500 46.8 11.6 4.5 12 -1.400 48.0 11.8 4.5 13 -1.300 49.2 11.9 4.5 14 -1.200 50.4 12.0 4.5 15 -1.100 51.6 12.0 4.5 16 -1.000 52.8 12.0 4.5 17 -.900 54.0 11.8 4.5 18 -.800 55.2 11.7 4.5 19 -.700 56.3 11.7 4.4 20 -.600 57.5 11.7 4.4 21 -.500 58.6 11.8 4.4 22 -.400 59.8 11.9 4.4 23 -.300 61.0 12.1 4.4 24 -.200 62.2 12.3 4.3 25 -.100 63.5 12.3 4.3 26 .000 64.7 12.3 4.3 27 .100 66.0 12.0 4.2 28 .200 67.1 11.7 4.2 29 .300 68.3 11.3 4.1 30 .400 69.4 10.9 4.1 31 .500 70.5 10.4 4.1 32 .600 71.5 10.1 4.0 33 .700 72.5 9.9 4.0 34 .800 73.5 9.7 3.9 35 .900 74.4 9.6 3.9 36 1.000 75.4 9.6 3.8 37 1.100 76.3 9.6 3.8 38 1.200 77.3 9.6 3.7 39 1.300 78.2 9.6 3.6 40 1.400 79.2 9.8 3.6 41 1.500 80.2 9.8 3.5 42 1.600 81.2 9.8 3.4 43 1.700 82.2 9.8 3.3 44 1.800 83.2 9.6 3.2 45 1.900 84.1 9.4 3.1 46 2.000 85.0 9.0 3.0 47 2.100 85.9 8.4 2.9 48 2.200 86.8 7.6 2.8 49 2.300 87.5 6.6 2.7 50 2.400 88.1 5.5 2.6 51 2.500 88.6 5.5 2.6 Expected Formula Score Function Item Quantile Function Slope 1 -2.500 14.5 12.6 2 -2.400 15.7 13.3 3 -2.300 17.1 14.0 4 -2.200 18.6 14.5 5 -2.100 20.1 14.7 6 -2.000 21.5 14.7 7 -1.900 23.0 14.6 8 -1.800 24.4 14.7 9 -1.700 25.9 14.9 10 -1.600 27.4 15.2 11 -1.500 28.9 15.5 12 -1.400 30.5 15.8 13 -1.300 32.1 16.0 14 -1.200 33.7 16.1 15 -1.100 35.3 16.1 16 -1.000 36.9 16.0 17 -.900 38.5 15.8 18 -.800 40.1 15.6 19 -.700 41.6 15.6 20 -.600 43.2 15.6 21 -.500 44.8 15.7 22 -.400 46.3 16.0 23 -.300 47.9 16.2 24 -.200 49.6 16.4 25 -.100 51.2 16.5 26 .000 52.9 16.4 27 .100 54.5 16.1 28 .200 56.1 15.6 29 .300 57.7 15.1 30 .400 59.1 14.5 31 .500 60.6 13.9 32 .600 61.9 13.5 33 .700 63.3 13.1 34 .800 64.5 12.9 35 .900 65.8 12.8 36 1.000 67.1 12.8 37 1.100 68.4 12.8 38 1.200 69.7 12.8 39 1.300 70.9 12.9 40 1.400 72.2 13.0 41 1.500 73.5 13.1 42 1.600 74.9 13.1 43 1.700 76.2 13.0 44 1.800 77.5 12.8 45 1.900 78.7 12.5 46 2.000 80.0 12.0 47 2.100 81.2 11.2 48 2.200 82.3 10.1 49 2.300 83.2 8.8 50 2.400 84.0 7.3 51 2.500 84.7 6.4 Estimated Parameters of Logistic Model Item a b c 1 .526 .288 .596 2 .496 -.252 .913 3 .254 -3.006 .811 4 .908 -.003 .411 5 .921 1.030 .305 6 .554 -.553 .293 7 -.091 -14.784 .110 8 .587 -.115 .315 9 .394 -.682 .381 10 .573 .125 .370 11 .140 -1.925 .776 12 .394 -.058 .577 13 .846 .351 .366 14 .836 -.409 .326 15 .641 -.785 .516 16 .835 -.165 .475 17 .463 .231 .338 18 .515 .869 .499 19 .117 1.264 .757 20 .330 -.049 .364 21 .798 .392 .337 22 1.401 .307 .859 23 .592 -.324 .404 24 .393 -1.718 .573 25 .596 .021 .151 26 .579 .570 .321 27 .990 -.323 .655 28 .561 .376 .276 29 1.005 -.030 .140 30 .689 .504 .187 31 .617 -.584 .592 32 .789 .549 .453 33 .767 .308 .264 34 .568 .727 .236 35 .548 .621 .391 36 .519 .737 .183 37 1.041 -.370 .476 38 .976 1.192 .232 39 .505 1.464 .215 40 .524 1.398 .142 41 .604 .494 .346 42 .556 -.298 .545 43 .691 -1.097 .511 44 .666 1.058 .256 45 .570 -1.858 .522 46 .606 1.222 .730 47 .161 7.561 .201 48 .491 1.799 .387 49 .281 -3.379 .674 50 .515 .056 .324 51 .530 .982 .302 52 .710 .146 .493 53 .525 .715 .128 54 .824 .358 .097 55 .571 -.507 .421 56 .405 .951 .339 57 .375 1.677 .486 58 .175 6.822 .449 59 .592 -.623 .177 60 .032 -16.033 .830 61 .549 -.532 .388 62 .531 2.361 .153 63 .586 -.663 .808 64 .805 1.311 .258 65 .304 -.842 .509 66 .699 .469 .273 67 .708 -.320 .825 68 .489 1.880 .344 69 .507 1.779 .328 70 .515 -.798 .584 71 .787 .489 .262 72 .606 .156 .245 73 .509 2.286 .083 74 .498 -1.239 .344 75 .537 -1.373 .757 76 .565 -.461 .323 77 .618 1.044 .247 78 .497 .237 .492 79 .657 -1.236 .398 80 .000 .000 .224 81 .652 2.204 .163 82 .377 1.352 .315 83 .453 .453 .838 84 .616 .335 .217 85 1.288 .992 .542 86 .399 1.139 .390 87 .504 -.449 .478 88 .753 -.018 .338 89 .571 -.153 .572 90 .492 2.206 .050 91 .520 .463 .425 92 .673 -.203 .794 93 .136 10.716 .350 94 .492 -.252 .504 95 .935 1.121 .431 96 .000 .000 .745 97 .677 .609 .244 98 .951 -.582 .526 99 .363 3.416 .470 100 .497 1.710 .248 Logistic-Quadratic Coefficients 1 .000 -2.060 -3.046 -2.102 1.000 -.597 -.597 -.433 .000 .000 -.342 -.093 2 -4.184 -3.899 -4.607 .000 -.823 -1.095 -.509 1.000 .000 -1.329 -.177 .000 3 -4.165 .000 -3.933 -4.300 -.779 1.000 -.843 -.581 .000 .000 .000 .000 4 -1.802 -1.836 -2.685 .000 -1.436 -.856 -.730 1.000 -.429 -.080 -.028 .000 5 -2.826 .000 -1.331 .186 -1.265 1.000 -.882 -.632 -.431 .000 -.352 -.225 6 -2.287 .000 -1.440 -3.903 -1.229 1.000 -.787 -1.268 -.170 .000 .000 .000 7 .000 .922 .404 1.286 1.000 -.075 -.373 -.164 .000 .000 .000 -.157 8 -1.696 .000 -1.304 -4.484 -1.058 1.000 -.598 -1.421 -.091 .000 -.027 -.087 9 -1.511 -2.345 .000 -.522 -1.057 1.000 .000 .000 .000 10 -1.999 -1.543 .000 -1.944 -.433 -.947 1.000 -.692 .000 -.148 .000 .000 11 -3.367 -2.209 .000 -.117 -.351 1.000 -.440 .000 .000 12 -3.894 -1.498 -6.288 .000 -1.097 -.406 -4.148 1.000 .000 .000 -1.300 .000 13 .000 -.802 -3.172 -1.349 1.000 -.779 -.632 -1.032 .000 -.403 -.092 -.190 14 .000 -2.765 -1.579 -2.790 1.000 -1.095 -1.224 -1.891 .000 .000 -.283 -.384 15 -3.995 .000 -1.917 -10.000 -1.290 1.000 -.875 -7.654 .000 .000 -.140 -1.632 16 -3.154 -2.816 .000 -1.656 -.383 -1.022 1.000 -1.263 .000 -.357 .000 -.246 17 .000 -.655 -3.066 -3.469 1.000 -.534 -.499 -1.177 .000 -.049 .000 .000 18 -2.325 -2.208 .000 -1.109 -.336 -.165 1.000 -.595 .000 .000 .000 -.116 19 -3.039 -2.628 -3.046 .000 -.537 .084 -.270 1.000 .000 .000 .000 .000 20 -1.838 .000 -1.210 -3.312 -.480 1.000 -.458 -1.646 .000 .000 .000 -.394 21 -.670 .000 -1.796 -2.448 -.882 1.000 -.887 -.689 -.253 .000 -.192 -.028 22 -3.611 .000 -7.863 -2.630 -1.198 1.000 -6.991 -.913 -.608 .000 -2.785 -.319 23 .000 -2.549 -2.118 -2.143 1.000 -1.259 -.396 -.971 .000 -.238 .000 .000 24 -2.213 .000 -9.389 -4.849 -.347 1.000 -6.191 -1.909 -.220 .000 -1.041 .000 25 .000 -2.338 -.673 -2.026 1.000 -.485 -.937 -1.389 .000 .000 .000 -.349 26 -.964 -1.493 -2.101 .000 -.748 -.522 -.367 1.000 -.026 -.187 .000 .000 27 .000 -3.913 -2.153 -3.825 1.000 -1.376 -1.106 -1.054 .000 .000 -.640 .000 28 -.885 -1.475 .000 -3.781 -.442 -1.028 1.000 -.028 -.063 .000 .000 .000 29 .000 -1.625 -1.969 -.984 1.000 -1.324 -1.637 -1.441 .000 -.049 -.170 -.276 30 -1.690 -2.613 .000 -.159 -.667 -.958 1.000 -.854 -.055 .000 .000 -.131 31 .000 -3.536 -2.762 -2.700 1.000 -1.282 -.882 -.730 .000 -.253 -.058 .000 32 .000 -1.071 -4.875 -1.410 1.000 -.742 -3.599 -.560 .000 -.189 -1.117 -.188 33 -2.357 -.882 -1.390 .000 -.551 -.669 -1.386 1.000 -.133 -.150 -.184 .000 34 -.749 .000 -.986 -1.591 -1.039 1.000 -.374 -.831 -.301 .000 .000 .000 35 -.816 .000 -2.892 -1.731 -.486 1.000 -.883 -.626 -.105 .000 -.271 -.012 36 -1.030 -1.287 -.391 .000 -.555 -.968 -.598 1.000 .000 -.289 -.096 .000 37 -2.768 -2.721 .000 -2.444 -1.716 -1.562 1.000 -.982 -.385 -.428 .000 -.081 38 .000 -1.182 -1.595 .500 1.000 -.763 -1.783 -.610 .000 -.399 -.558 -.227 39 -2.771 -2.446 .255 .000 -2.715 -1.233 -.393 1.000 -.805 -.119 -.053 .000 40 -.009 -1.703 .000 -.027 -.537 -.761 1.000 -.607 -.101 -.020 .000 -.069 41 .000 -.523 -5.675 -3.256 1.000 -.641 -4.050 .044 .000 -.052 -1.002 -.547 42 -2.619 .000 -1.849 -5.411 -1.163 1.000 -.492 -3.103 -.264 .000 -.012 -.669 43 -2.601 -3.858 .000 -3.926 -1.058 -2.186 1.000 -1.362 .000 -.522 .000 -.321 44 -.589 .000 -.984 -.907 -.468 1.000 -.889 -.600 -.207 .000 -.201 .000 45 .000 -3.778 -5.314 -3.264 1.000 -1.367 -1.967 -1.233 .000 -.061 -.122 .000 46 -2.443 -2.864 .000 -1.697 -.416 -.265 1.000 -.355 -.079 -.020 .000 -.176 47 .925 .000 -1.429 -.936 -.035 1.000 -.121 -.613 -.139 .000 .000 .000 48 -2.081 -4.429 -.226 .000 -1.755 -3.126 -.276 1.000 -.729 -1.286 -.016 .000 49 -2.806 -8.981 -8.866 .000 -.559 -5.902 -5.542 1.000 .000 -1.185 -1.044 .000 50 -1.042 -2.415 .000 -2.754 -.479 -.968 1.000 -.930 .000 .000 .000 .000 51 -3.701 -.454 .000 -1.580 -1.662 -.417 1.000 -1.139 -.168 .000 .000 -.381 52 -1.634 .000 -2.268 -2.590 -.516 1.000 -1.078 -.478 -.108 .000 -.117 -.067 53 .000 -1.931 -.496 -.772 1.000 -1.268 -.792 -.485 .000 .000 .000 .000 54 .000 -2.523 -2.548 .077 1.000 -1.026 -1.214 -1.133 .000 .000 .000 -.085 55 -1.427 -4.735 .000 -3.406 -.702 -1.863 1.000 -.812 -.056 .000 .000 .000 56 -2.919 -.904 .000 -1.436 -2.173 -.197 1.000 -.772 -.559 .000 .000 -.071 57 -.876 -2.486 -2.132 .000 -.266 -.474 -.321 1.000 -.018 -.096 .000 .000 58 .000 -2.957 -.095 -3.505 1.000 -.647 -.040 -1.142 .000 -.030 -.017 -.126 59 -1.843 .000 -1.518 -3.046 -1.298 1.000 -.796 -1.283 .000 .000 .000 .000 60 -4.082 -3.090 -4.609 .000 -1.083 -.605 3.410 1.000 -.234 .000 -2.954 .000 61 -3.291 -1.980 .000 -1.901 -1.173 -.790 1.000 -.780 .000 -.158 .000 .000 62 .358 .000 .032 .140 -.458 1.000 -.396 -.529 -.169 .000 -.177 -.059 63 -3.364 -3.672 -4.457 .000 -.783 -.745 -.174 1.000 .000 -.119 -.134 .000 64 -.807 -.342 .000 -.539 -.748 -.463 1.000 -.633 -.119 -.189 .000 -.178 65 -2.276 .000 -1.987 -3.493 -.280 1.000 -.701 -.738 -.061 .000 .000 .000 66 .000 -.736 -1.589 -2.289 1.000 -.773 -.338 -1.368 .000 -.145 -.087 -.058 67 -3.256 -6.191 .000 -3.561 -.334 -1.893 1.000 -1.114 -.149 .000 .000 -.203 68 -2.251 -.305 .000 -1.117 -1.362 -.277 1.000 -.331 -.335 -.081 .000 .000 69 -.758 -.726 -.693 .000 -.140 -.516 -.248 1.000 -.076 -.128 -.238 .000 70 -3.052 -5.235 -2.311 .000 -.895 -1.850 -.475 1.000 .000 -.005 -.035 .000 71 .000 -.747 -1.462 -1.222 1.000 -.585 -.887 -.954 .000 -.238 .000 -.250 72 -1.908 .000 -2.140 -.936 -.693 1.000 -.775 -.814 -.042 .000 .000 .000 73 .721 .000 .566 -.088 -.509 1.000 -.700 -.471 -.149 .000 -.142 -.031 74 -3.106 .000 -2.160 -3.235 -.953 1.000 -.955 -1.300 .000 .000 .000 .000 75 -3.947 -3.849 .000 -4.496 -.270 -1.394 1.000 -1.109 .000 -.120 .000 -.115 76 -1.452 .000 -1.923 -3.898 -.804 1.000 -.936 -1.287 -.185 .000 .000 .000 77 -.597 -.414 .000 -1.403 -.630 -.400 1.000 -.889 -.116 -.220 .000 -.138 78 -.991 .000 -4.191 -4.965 -.560 1.000 -.808 -3.547 -.048 .000 .000 -5.102 79 .000 -3.004 -3.131 -3.199 1.000 -1.044 -1.479 -.778 .000 .000 .000 .000 80 .000 1.192 -1.284 1.179 1.000 .281 -.575 -.044 .000 -.138 -.244 -.134 81 -2.988 .000 1.134 -.584 -1.341 1.000 -.348 -.772 -.310 .000 -.162 -.187 82 -2.022 -1.153 .000 -.747 -.799 -.255 1.000 -.407 .000 .000 .000 -.058 83 -6.328 -2.648 -2.806 .000 -4.517 -.305 -.459 1.000 -2.084 -.442 .000 .000 84 -.767 .000 -1.431 -1.559 -.996 1.000 -.870 -.422 -.115 .000 -.276 -.002 85 -1.012 -1.278 -3.179 .000 -.763 -.597 -3.054 1.000 -.447 -.131 -1.688 .000 86 -1.384 -1.034 -2.423 .000 -.885 -.149 -.659 1.000 -.201 .000 .000 .000 87 -3.057 -3.395 .000 -1.577 -.912 -.888 1.000 -.673 -.150 -.165 .000 .000 88 .000 -1.478 -2.398 -1.890 1.000 -.955 -1.047 -.913 .000 -.108 -.408 .000 89 -2.025 -3.272 -3.275 .000 -.341 -.912 -1.796 1.000 -.008 -.183 -.313 .000 90 .000 -.055 .688 .824 1.000 -.327 -.650 -.801 .000 -.160 -.036 -.062 91 -1.801 -2.390 -1.573 .000 -.072 -.430 -1.117 1.000 -.064 .000 -.148 .000 92 -4.503 .000 -3.051 -3.260 -.787 1.000 -.800 -.450 .000 .000 -.102 -.079 93 .748 -1.183 .000 -1.063 -.052 -.091 1.000 -.551 -.117 -.114 .000 -.290 94 .000 -2.855 -2.057 -2.086 1.000 -1.071 -.556 -.449 .000 -.096 .000 -.090 95 -2.189 .000 -2.861 -.123 -.395 1.000 -.843 -.612 .000 .000 -.087 -.325 96 -2.899 -.863 -2.380 .000 .023 .405 .101 1.000 .000 .000 -.036 .000 97 .000 -.214 -1.589 -2.570 1.000 -.732 -.822 -.870 .000 -.162 -.129 .000 98 -2.507 -3.490 -3.240 .000 -1.306 -1.394 -1.327 1.000 -.182 -.212 -.291 .000 99 -2.197 -.664 .000 -.860 -.444 .095 1.000 .020 -.171 .000 .000 .000 100 -1.296 .000 -1.451 .022 -.447 1.000 -.823 -.333 -.279 .000 .000 -.044 Test Information Function With Respect to Normal Quantile Quantile Information 1 -2.500 24.481 2 -2.400 25.333 3 -2.300 26.379 4 -2.200 27.644 5 -2.100 29.134 6 -2.000 30.842 7 -1.900 32.737 8 -1.800 34.770 9 -1.700 36.874 10 -1.600 38.976 11 -1.500 41.019 12 -1.400 42.972 13 -1.300 44.844 14 -1.200 46.670 15 -1.100 48.484 16 -1.000 50.295 17 -.900 52.072 18 -.800 53.754 19 -.700 55.260 20 -.600 56.513 21 -.500 57.446 22 -.400 58.009 23 -.300 58.153 24 -.200 57.833 25 -.100 57.017 26 .000 55.695 27 .100 53.894 28 .200 51.674 29 .300 49.115 30 .400 46.305 31 .500 43.329 32 .600 40.260 33 .700 37.162 34 .800 34.086 35 .900 31.076 36 1.000 28.169 37 1.100 25.395 38 1.200 22.778 39 1.300 20.335 40 1.400 18.077 41 1.500 16.008 42 1.600 14.126 43 1.700 12.427 44 1.800 10.902 45 1.900 9.541 46 2.000 8.331 47 2.100 7.260 48 2.200 6.316 49 2.300 5.486 50 2.400 4.758 51 2.500 4.122 Test Information Function With Respect to Normal Quantile Quantile Information 1 -2.500 24.481 2 -2.400 25.333 3 -2.300 26.379 4 -2.200 27.644 5 -2.100 29.134 6 -2.000 30.842 7 -1.900 32.737 8 -1.800 34.770 9 -1.700 36.874 10 -1.600 38.976 11 -1.500 41.019 12 -1.400 42.972 13 -1.300 44.844 14 -1.200 46.670 15 -1.100 48.484 16 -1.000 50.295 17 -.900 52.072 18 -.800 53.754 19 -.700 55.260 20 -.600 56.513 21 -.500 57.446 22 -.400 58.009 23 -.300 58.153 24 -.200 57.833 25 -.100 57.017 26 .000 55.695 27 .100 53.894 28 .200 51.674 29 .300 49.115 30 .400 46.305 31 .500 43.329 32 .600 40.260 33 .700 37.162 34 .800 34.086 35 .900 31.076 36 1.000 28.169 37 1.100 25.395 38 1.200 22.778 39 1.300 20.335 40 1.400 18.077 41 1.500 16.008 42 1.600 14.126 43 1.700 12.427 44 1.800 10.902 45 1.900 9.541 46 2.000 8.331 47 2.100 7.260 48 2.200 6.316 49 2.300 5.486 50 2.400 4.758 51 2.500 4.122