profile index 227 in-control historical data profile index 20 Phase-II sample (the first four are in-control) profile index Z_{jR} charting statistics j x1 x2 x3 y j x1 x2 x3 y 1 -0.830 -2.122 -5.814 11.797 1 -0.969 -8.016 -12.505 -7.473 1.000 26.056 6.305 4.311 -0.247 0.301 0.950 1 -0.651 -1.719 -4.745 13.935 1 -0.793 -6.599 -6.475 -6.321 2.000 26.162 -3.666 4.182 1.388 1.014 2.258 1 -0.549 -1.661 -4.103 14.930 1 -0.528 -4.952 2.479 -4.471 3.000 25.885 1.489 4.064 0.895 0.630 3.895 1 -0.299 -1.260 -2.445 18.426 1 -0.235 -3.298 11.357 -2.260 4.000 26.074 4.419 4.313 0.655 0.511 4.268 1 -0.013 -0.613 -0.388 24.305 1 -0.088 -1.397 19.240 -1.085 5.000 26.185 3.236 2.777 1.840 0.576 4.591 1 0.191 -0.117 1.171 27.300 1 0.101 0.508 29.298 0.482 6.000 26.133 7.268 3.989 0.337 0.235 6.750 1 0.213 0.610 1.346 30.593 1 0.373 2.640 39.002 2.873 7.000 26.067 4.123 4.247 0.721 0.077 10.256 1 0.409 1.503 2.933 34.666 1 0.533 4.749 48.447 4.351 8.000 26.421 19.456 4.828 -1.344 0.146 12.012 1 0.660 2.136 5.083 41.123 1 0.727 7.038 59.194 6.199 9.000 26.170 8.692 3.962 0.247 0.600 16.093 1 0.869 3.242 6.962 46.163 1 0.879 9.329 70.527 7.705 10.000 26.673 -7.821 3.568 2.284 0.600 15.377 2 -0.845 -2.004 -6.787 10.970 2 -0.915 -3.136 6.676 -7.097 11.000 26.439 38.005 7.913 -4.445 0.110 18.793 2 -0.636 -1.791 -5.325 13.447 2 -0.696 -2.767 9.981 -5.641 12.000 26.354 12.224 5.622 -0.949 0.267 21.666 2 -0.588 -1.553 -4.970 18.818 2 -0.600 -2.280 10.885 -4.969 13.000 26.186 10.785 5.344 -0.913 0.246 16.171 2 -0.239 -1.148 -2.299 19.126 2 -0.317 -1.631 16.700 -2.884 14.000 26.945 18.642 5.398 -1.518 3.447 14.786 2 -0.150 -0.764 -1.570 21.677 2 -0.168 -0.736 21.902 -1.722 15.000 26.319 1.496 5.513 0.326 0.416 16.823 2 0.102 -0.019 0.558 26.009 2 0.177 0.147 28.466 1.131 16.000 26.199 4.009 2.990 1.317 0.085 17.809 2 0.276 0.489 2.103 31.441 2 0.311 1.060 32.572 2.311 17.000 26.320 2.822 4.137 0.828 0.017 21.152 2 0.434 1.263 3.551 34.554 2 0.558 1.994 38.584 4.566 18.000 26.110 12.721 5.472 -1.027 0.307 23.152 2 0.670 2.266 5.817 40.900 2 0.724 3.037 43.027 6.159 19.000 26.087 14.136 5.062 -0.693 0.234 26.839 2 0.976 3.261 8.921 47.865 2 0.925 4.313 52.827 8.147 20.000 26.235 -4.018 3.810 1.918 0.447 30.793 3 -0.882 -2.198 -6.681 10.435 3 -0.849 -1.129 13.678 -6.270 3 -0.774 -1.961 -5.993 12.092 3 -0.774 -1.192 15.027 -5.804 Z_{jL} 3 -0.492 -1.563 -4.081 16.063 3 -0.511 -1.010 18.091 -4.078 3 -0.365 -1.247 -3.165 18.167 3 -0.191 -0.864 20.862 -1.790 1.000 26.056 4.042 4.162 0.207 -0.613 0.221 3 -0.127 -0.737 -1.370 23.046 3 -0.124 -0.594 22.070 -1.283 2.000 26.162 -2.965 3.874 1.427 1.558 0.672 3 0.034 -0.012 -0.090 26.801 3 0.059 -0.205 24.290 0.137 3.000 25.885 3.353 4.282 0.604 0.666 1.300 3 0.401 0.684 3.027 32.341 3 0.239 0.312 29.660 1.608 4.000 26.074 8.954 4.510 -0.071 0.091 1.570 3 0.618 1.434 4.995 36.858 3 0.551 0.859 33.129 4.296 5.000 26.185 6.161 2.987 1.278 0.424 1.856 3 0.633 2.255 5.128 40.057 3 0.779 1.470 39.137 6.397 6.000 26.133 10.940 4.284 -0.136 -0.992 2.530 3 0.955 3.345 8.232 48.286 3 0.821 2.352 42.908 6.787 7.000 26.067 4.147 4.256 0.713 -2.234 4.063 4 -0.935 -1.933 -7.542 10.341 4 -0.959 -2.922 4.198 -6.274 8.000 26.421 17.601 4.573 -1.050 -1.541 4.804 4 -0.712 -1.946 -5.981 11.927 4 -0.626 -2.649 9.671 -4.416 9.000 26.170 13.401 4.605 -0.550 0.507 6.141 4 -0.435 -1.546 -3.904 16.368 4 -0.534 -2.159 12.346 -3.867 10.000 26.673 -8.519 3.512 2.395 0.562 6.337 4 -0.364 -1.293 -3.353 17.899 4 -0.274 -1.569 16.180 -2.214 11.000 26.439 32.748 7.229 -3.627 -1.878 10.288 4 -0.099 -0.674 -1.186 21.859 4 -0.015 -0.732 22.236 -0.436 12.000 26.354 12.140 5.955 -1.099 -0.776 11.315 4 0.094 -0.022 0.477 26.523 4 0.044 0.077 27.010 -0.013 13.000 26.186 11.131 5.341 -0.956 -0.851 10.602 4 0.292 0.722 2.265 31.354 4 0.264 0.971 31.980 1.629 14.000 26.945 21.433 5.098 -1.661 4.938 12.148 4 0.581 1.257 5.012 36.894 4 0.460 1.961 39.388 3.169 15.000 26.319 -0.956 5.273 0.763 -0.093 14.417 4 0.729 2.132 6.487 41.292 4 0.710 2.971 45.731 5.248 16.000 26.199 4.527 3.151 1.170 -2.163 16.409 4 0.850 3.303 7.726 47.364 4 0.929 4.053 52.001 7.176 17.000 26.320 2.655 4.111 0.859 -3.586 18.825 5 -0.885 -2.098 -7.237 10.709 5 -0.858 -4.162 1.475 -5.865 18.000 26.110 17.629 5.840 -1.891 -0.672 17.915 5 -0.796 -1.838 -6.616 12.489 5 -0.713 -3.449 4.478 -5.031 19.000 26.087 7.770 4.139 0.201 -1.027 19.019 5 -0.515 -1.512 -4.551 16.114 5 -0.467 -2.574 11.172 -3.521 20.000 26.235 -0.218 4.528 1.080 0.027 21.766 5 -0.311 -1.166 -2.946 17.437 5 -0.287 -1.800 15.919 -2.343 5 -0.051 -0.740 -0.790 22.361 5 -0.189 -0.913 19.972 -1.672 5 0.083 -0.033 0.376 26.786 5 0.071 0.159 27.717 0.195 5 0.325 0.694 2.569 30.291 5 0.308 1.226 34.008 2.018 5 0.546 1.263 4.676 35.703 5 0.516 2.386 42.299 3.716 5 0.677 2.285 5.972 40.759 5 0.727 3.763 47.868 5.520 5 0.928 3.146 8.546 47.514 5 0.891 5.364 56.942 6.982 6 -0.949 -2.172 -6.388 9.688 6 -0.915 -1.520 10.827 -7.707 6 -0.667 -1.857 -4.769 13.636 6 -0.610 -1.386 14.623 -5.436 6 -0.508 -1.439 -3.794 16.682 6 -0.550 -1.317 14.376 -4.970 6 -0.173 -1.251 -1.559 20.083 6 -0.255 -1.157 18.803 -2.553 6 -0.138 -0.577 -1.316 22.886 6 -0.181 -0.657 21.535 -1.925 6 0.139 -0.087 0.717 26.574 6 0.184 -0.174 27.253 1.358 6 0.238 0.553 1.483 30.196 6 0.213 0.425 30.670 1.623 6 0.529 1.267 3.840 35.323 6 0.436 1.131 34.793 3.773 6 0.690 2.303 5.226 41.617 6 0.732 1.844 41.178 6.781 6 0.841 3.259 6.561 47.047 6 0.946 2.811 47.273 9.056 7 -0.910 -1.966 -7.256 10.796 7 -0.975 -3.296 3.264 -6.267 7 -0.772 -1.847 -6.309 12.158 7 -0.739 -2.740 7.912 -5.010 7 -0.404 -1.722 -3.617 16.920 7 -0.583 -2.202 11.541 -4.121 7 -0.384 -1.071 -3.456 20.462 7 -0.249 -1.577 17.027 -2.048 7 -0.005 -0.826 -0.385 22.325 7 -0.015 -0.979 21.581 -0.462 7 0.015 -0.206 -0.215 25.863 7 0.131 -0.081 26.465 0.581 7 0.380 0.717 3.037 32.080 7 0.319 1.003 33.088 1.990 7 0.525 1.410 4.399 36.028 7 0.501 2.114 39.140 3.422 7 0.634 2.281 5.455 41.045 7 0.747 3.223 46.978 5.461 7 0.921 3.230 8.347 46.937 7 0.862 4.534 53.672 6.454 8 -0.982 -2.116 -7.914 9.328 8 -0.844 -1.552 11.445 -6.756 8 -0.708 -1.791 -5.994 12.653 8 -0.687 -1.530 13.463 -5.674 8 -0.553 -1.589 -4.843 15.165 8 -0.466 -1.221 17.380 -4.056 8 -0.274 -1.190 -2.657 18.385 8 -0.415 -1.024 17.694 -3.676 8 -0.010 -0.625 -0.438 23.499 8 -0.166 -0.751 22.039 -1.714 8 0.089 -0.114 0.426 26.508 8 0.110 -0.268 26.153 0.603 8 0.318 0.634 2.513 32.422 8 0.325 0.389 31.437 2.514 8 0.510 1.328 4.335 36.015 8 0.503 1.223 36.440 4.171 8 0.744 2.205 6.662 40.749 8 0.684 1.976 41.497 5.915 8 0.865 3.258 7.910 45.846 8 0.957 2.758 46.660 8.671 9 -0.945 -2.039 -6.595 10.550 9 -0.881 -2.418 6.043 -6.922 9 -0.607 -2.009 -4.552 13.701 9 -0.662 -2.093 11.170 -5.431 9 -0.574 -1.597 -4.340 14.888 9 -0.488 -1.755 14.883 -4.171 9 -0.198 -1.095 -1.774 20.170 9 -0.372 -1.241 17.443 -3.300 9 -0.044 -0.598 -0.642 22.777 9 -0.095 -0.614 22.965 -1.117 9 0.103 -0.187 0.482 27.065 9 0.071 -0.085 26.004 0.272 9 0.285 0.564 1.937 31.844 9 0.337 0.684 31.743 2.606 9 0.514 1.449 3.865 35.330 9 0.480 1.520 37.183 3.918 9 0.643 2.175 4.991 40.587 9 0.650 2.445 43.208 5.533 9 0.824 3.336 6.629 45.654 9 0.959 3.557 51.060 8.613 10 -0.924 -2.015 -7.108 9.808 10 -0.940 -1.707 10.610 -7.434 10 -0.766 -1.862 -6.070 12.429 10 -0.641 -1.516 14.164 -5.360 10 -0.463 -1.650 -3.933 16.090 10 -0.523 -1.274 15.698 -4.497 10 -0.231 -1.192 -2.174 20.006 10 -0.212 -1.111 19.775 -2.083 10 -0.063 -0.693 -0.833 24.068 10 -0.182 -0.589 22.314 -1.835 10 0.149 -0.012 0.940 26.679 10 0.174 -0.128 28.276 1.182 10 0.344 0.701 2.653 31.142 10 0.245 0.474 29.997 1.819 10 0.526 1.277 4.318 34.786 10 0.512 1.073 35.602 4.293 10 0.645 2.353 5.441 40.690 10 0.682 1.900 40.949 5.936 10 0.782 3.093 6.766 45.069 10 0.885 2.878 49.344 7.978 11 -0.885 -2.087 -5.977 10.645 11 -0.803 -1.248 13.611 -6.208 11 -0.668 -1.884 -4.737 13.920 11 -0.753 -1.169 14.485 -5.884 11 -0.560 -1.605 -4.088 14.878 11 -0.593 -1.138 16.344 -4.801 11 -0.259 -1.110 -2.144 18.765 11 -0.322 -0.964 19.518 -2.855 11 -0.143 -0.603 -1.350 22.891 11 -0.180 -0.621 22.498 -1.778 11 0.076 -0.137 0.227 27.075 11 0.134 -0.204 26.328 0.749 11 0.324 0.623 2.124 30.779 11 0.329 0.314 31.201 2.418 11 0.491 1.419 3.474 35.598 11 0.511 0.827 34.136 4.049 11 0.696 2.096 5.202 39.383 11 0.705 1.600 39.652 5.856 11 0.928 3.288 7.268 47.116 11 0.971 2.604 46.616 8.454 12 -0.898 -2.093 -7.113 9.985 12 -0.816 -2.740 6.994 -6.114 12 -0.763 -1.975 -6.191 11.238 12 -0.710 -2.350 9.605 -5.441 12 -0.421 -1.571 -3.704 16.100 12 -0.442 -1.983 13.407 -3.628 12 -0.206 -1.304 -2.017 20.157 12 -0.295 -1.552 15.541 -2.569 12 -0.134 -0.631 -1.437 22.483 12 -0.124 -0.878 21.344 -1.286 12 0.163 0.067 1.090 27.807 12 0.009 -0.176 26.240 -0.252 12 0.239 0.679 1.759 30.876 12 0.214 0.807 31.672 1.420 12 0.410 1.300 3.318 34.860 12 0.439 1.890 39.381 3.350 12 0.725 2.218 6.348 40.567 12 0.772 2.953 46.556 6.388 12 0.884 3.310 7.946 47.413 12 0.953 4.031 52.798 8.130 13 -0.871 -2.045 -6.638 12.180 13 -0.900 -4.155 0.588 -6.514 13 -0.718 -1.850 -5.637 12.599 13 -0.768 -3.514 4.343 -5.709 13 -0.481 -1.466 -4.000 16.326 13 -0.549 -2.654 9.477 -4.300 13 -0.252 -1.303 -2.307 18.718 13 -0.232 -1.936 14.818 -2.089 13 -0.106 -0.692 -1.172 22.518 13 -0.017 -1.001 20.961 -0.473 13 0.029 -0.037 -0.089 26.096 13 0.087 -0.042 27.367 0.342 13 0.262 0.685 1.875 31.482 13 0.274 1.247 34.101 1.855 13 0.492 1.262 3.912 36.456 13 0.486 2.634 42.553 3.664 13 0.801 2.108 6.821 42.385 13 0.643 3.981 49.488 5.058 13 0.844 3.337 7.236 46.347 13 0.975 5.440 58.164 8.165 14 -0.985 -2.177 -6.249 9.176 14 -0.965 -2.665 5.770 -7.736 14 -0.699 -1.725 -4.726 13.334 14 -0.654 -2.336 9.909 -5.559 14 -0.419 -1.635 -3.078 16.743 14 -0.513 -1.786 14.795 -4.510 14 -0.216 -1.185 -1.785 19.585 14 -0.336 -1.392 17.906 -3.140 14 -0.166 -0.813 -1.454 21.551 14 -0.136 -0.838 21.406 -1.507 14 0.201 -0.124 1.133 27.093 14 0.042 -0.128 26.701 0.004 14 0.369 0.769 2.405 32.367 14 0.407 0.822 33.182 3.313 14 0.436 1.447 2.926 36.011 14 0.523 1.691 43.292 4.415 14 0.624 2.290 4.446 39.416 14 0.677 2.826 44.785 5.932 14 0.852 3.153 6.381 45.058 14 0.956 3.807 51.702 8.789 15 -0.865 -2.074 -6.768 10.711 15 -0.815 -3.378 4.606 -6.409 15 -0.642 -1.842 -5.245 13.768 15 -0.653 -2.989 7.210 -5.301 15 -0.563 -1.425 -4.688 15.451 15 -0.471 -2.389 11.376 -3.993 15 -0.391 -1.258 -3.420 17.806 15 -0.329 -1.652 14.422 -2.930 15 -0.046 -0.556 -0.706 23.750 15 -0.176 -0.762 21.295 -1.736 15 0.165 -0.002 1.080 27.360 15 0.078 0.046 27.469 0.346 15 0.235 0.595 1.688 30.237 15 0.277 1.015 33.047 2.069 15 0.561 1.361 4.657 38.088 15 0.521 2.185 40.717 4.291 15 0.760 2.104 6.568 40.847 15 0.716 3.326 47.465 6.148 15 0.786 3.096 6.833 45.904 15 0.854 4.598 55.585 7.515 16 -0.851 -1.979 -5.823 11.931 16 -0.894 -2.948 5.400 -6.465 16 -0.681 -1.788 -4.841 13.274 16 -0.777 -2.575 7.538 -5.755 16 -0.493 -1.699 -3.687 15.401 16 -0.411 -1.971 14.117 -3.355 16 -0.277 -1.088 -2.272 19.665 16 -0.360 -1.344 17.252 -3.005 16 -0.117 -0.710 -1.166 23.095 16 -0.116 -0.805 21.581 -1.228 16 0.032 0.026 -0.092 27.183 16 0.074 0.025 27.130 0.233 16 0.237 0.490 1.460 29.018 16 0.310 0.941 32.880 2.147 16 0.451 1.280 3.179 34.105 16 0.588 1.806 39.804 4.546 16 0.717 2.109 5.430 41.285 16 0.631 2.912 43.797 4.932 16 0.981 3.359 7.811 47.761 16 0.955 3.960 52.495 7.950 17 -0.945 -2.212 -6.916 10.402 17 -0.977 -2.619 6.648 -7.358 17 -0.708 -1.917 -5.431 12.526 17 -0.751 -2.376 9.389 -5.907 17 -0.432 -1.480 -3.566 16.390 17 -0.410 -1.876 14.700 -3.524 17 -0.264 -1.049 -2.359 19.468 17 -0.286 -1.436 17.391 -2.605 17 -0.119 -0.743 -1.264 21.612 17 -0.161 -0.832 21.003 -1.640 17 -0.001 -0.110 -0.351 24.288 17 0.183 -0.111 27.353 1.165 17 0.281 0.614 1.958 31.179 17 0.273 0.716 31.500 1.942 17 0.573 1.391 4.513 36.955 17 0.424 1.659 37.209 3.282 17 0.689 2.316 5.574 40.480 17 0.791 2.837 45.810 6.713 17 0.927 3.192 7.842 46.831 17 0.915 4.038 52.197 7.932 18 -0.953 -1.983 -7.941 10.985 18 -0.821 -2.407 7.148 -5.394 18 -0.734 -1.936 -6.361 11.765 18 -0.663 -2.127 10.931 -4.515 18 -0.508 -1.483 -4.630 15.867 18 -0.417 -1.799 14.701 -3.050 18 -0.312 -1.218 -3.043 19.141 18 -0.362 -1.250 17.524 -2.707 18 -0.096 -0.578 -1.212 22.913 18 -0.075 -0.778 21.952 -0.812 18 0.035 -0.113 -0.051 26.238 18 0.117 -0.010 26.434 0.545 18 0.372 0.667 3.089 32.327 18 0.195 0.647 31.244 1.120 18 0.478 1.135 4.122 34.061 18 0.535 1.619 37.566 3.761 18 0.780 2.266 7.188 41.131 18 0.649 2.574 43.695 4.700 18 0.935 3.245 8.839 47.877 18 0.843 3.531 49.909 6.352 19 -0.796 -2.216 -6.283 11.491 19 -0.989 -0.842 13.512 -7.865 19 -0.593 -1.938 -4.880 13.313 19 -0.671 -0.915 15.985 -5.663 19 -0.588 -1.496 -4.845 15.268 19 -0.484 -0.875 17.256 -4.269 19 -0.355 -1.094 -3.123 18.860 19 -0.218 -0.720 20.959 -2.169 19 -0.051 -0.717 -0.723 23.573 19 -0.105 -0.477 23.542 -1.238 19 0.012 0.047 -0.201 27.221 19 0.068 -0.145 26.342 0.241 19 0.290 0.547 2.188 30.406 19 0.221 0.246 28.546 1.604 19 0.545 1.222 4.525 36.081 19 0.546 0.588 33.745 4.643 19 0.701 2.349 6.018 41.972 19 0.666 1.220 37.886 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