EXAMPLES a) crit.in crit.in examples Example 1: Calculate the critical values for the one-sided step-down FDR procedure for 10 hypotheses to be simultaneously tested using a false discovery rate of 0.05. Assume the test statistics have the multivariate-t distribution with 15 degrees of freedom and common correlation coefficient 0.1. The input file crit.in is given below: 1 100000 757 10 1 10 15 .05 1 -6 0.1 1 Example 2: Calculate the four largest critical values for the FDR step-down procedure for 10864 two-sided hypotheses using a false discovery rate of 0.01. (Assume the remaining critical values are equal to the smallest of the four values.) Assume the test statistics have the multivariate-t distribution with 30 degrees of freedom and common correlation coefficient of 0.0. The input file crit.in is given below: 3 10000 753 10864 1 10864 30 .01 2 -6 0.0 4 Example 3: Given the 20 values of the test statistics, obtain an "upper bound" for the number of hypotheses that the FDR step-down procedure will reject. Assume the test statistics have the multivariate-t distribution with infinite degrees of freedom and correlation zero. The input file crit.in is given below: 4 100000 757 20 6 20 -1 .05 1 -6 0.0 -1 .4 .7 .8 .9 1.1 1.2 1.3 1.4 1.5 1.8 1.9 1.9 2.1 2.2 2.3 2.4 2.5 2.6 2.9 Example 4: For the Hedenfalk data, obtain an upper bound for the number of rejected hypotheses. Use n=10,000, q=.05, rho=0.0. df=infinity,and two-sided hypotheses. The input file crit.in is given below: 4 10000 757 3226 3090 3226 -1 .05 2 -999 0.0 0.00015 0.00028 0.00074 0.00085 0.00094 0.00346 0.00408 0.00493 0.00493 0.00498 0.00535 0.00543 0.00602 0.00683 0.00699 0.00766 0.00804 0.00812 0.00819 0.00923 0.01014 0.01017 0.01029 0.01042 0.01090 0.01099 0.01122 0.01152 0.01179 0.01212 0.01215 0.01324 0.01428 0.01452 0.01453 0.01465 0.01522 0.01594 0.01706 0.01961 0.01985 0.02199 0.02223 0.02225 0.02250 0.02256 0.02271 0.02339 0.02427 0.02436 0.02464 0.02525 0.02558 0.02563 0.02571 0.02582 0.02599 0.02699 0.02708 0.02753 0.02772 0.02851 0.02923 0.02978 0.03107 0.03131 0.03138 0.03204 0.03224 0.03238 0.03264 0.03374 0.03398 0.03475 0.03487 0.03488 0.03500 0.03539 0.03599 0.03652 0.03802 0.03812 0.03846 0.03867 0.03958 0.04019 0.04026 0.04055 0.04099 0.04109 0.04174 0.04174 0.04235 0.04376 0.04412 0.04472 0.04509 0.04511 0.04663 0.04697 0.04803 0.04850 0.04860 0.04936 0.04984 0.05054 0.05089 0.05093 0.05096 0.05198 0.05248 0.05302 0.05303 0.05331 0.05380 0.05495 0.05509 0.05559 0.05584 0.05588 0.05594 0.05609 0.05628 0.05691 0.05708 0.05752 0.05824 0.05924 0.05971 0.05988 0.05991 0.06022 0.06117 0.06221 0.06297 0.06344 0.06431 0.06452 0.06539 0.06548 0.06621 0.06656 0.06725 0.06747 0.06765 0.06775 0.06776 0.06814 0.06821 0.06873 0.06916 0.06968 0.07014 0.07084 0.07148 0.07213 0.07233 0.07254 0.07303 0.07304 0.07312 0.07378 0.07434 0.07498 0.07501 0.07566 0.07574 0.07707 0.07708 0.07718 0.07894 0.07906 0.07939 0.08079 0.08092 0.08098 0.08142 0.08146 0.08233 0.08235 0.08477 0.08499 0.08587 0.08609 0.08808 0.08812 0.08904 0.08995 0.08998 0.09042 0.09056 0.09108 0.09272 0.09324 0.09365 0.09415 0.09423 0.09425 0.09427 0.09549 0.09582 0.09606 0.09639 0.09700 0.09727 0.09746 0.09754 0.09782 0.09857 0.10017 0.10051 0.10149 0.10164 0.10171 0.10183 0.10189 0.10292 0.10337 0.10344 0.10375 0.10380 0.10444 0.10543 0.10573 0.10602 0.10677 0.10694 0.10722 0.10774 0.10860 0.10884 0.11022 0.11083 0.11114 0.11163 0.11263 0.11277 0.11310 0.11369 0.11406 0.11496 0.11531 0.11557 0.11605 0.11614 0.11709 0.11756 0.11879 0.12026 0.12104 0.12107 0.12123 0.12149 0.12166 0.12265 0.12270 0.12403 0.12500 0.12551 0.12607 0.12656 0.12666 0.12678 0.12693 0.12719 0.12755 0.12759 0.12798 0.12949 0.12968 0.13058 0.13088 0.13179 0.13290 0.13297 0.13352 0.13414 0.13434 0.13478 0.13637 0.13878 0.13924 0.13938 0.13961 0.14010 0.14031 0.14108 0.14235 0.14250 0.14307 0.14320 0.14404 0.14436 0.14478 0.14524 0.14538 0.14546 0.14564 0.14607 0.14903 0.14908 0.15055 0.15095 0.15368 0.15375 0.15496 0.15622 0.15667 0.15870 0.15890 0.15972 0.16038 0.16043 0.16048 0.16052 0.16054 0.16070 0.16094 0.16097 0.16114 0.16172 0.16216 0.16367 0.16409 0.16495 0.16544 0.16557 0.16625 0.16666 0.16776 0.16799 0.16823 0.16825 0.16841 0.16864 0.16871 0.16875 0.16909 0.16914 0.16956 0.17038 0.17065 0.17138 0.17230 0.17269 0.17277 0.17314 0.17403 0.17417 0.17422 0.17423 0.17426 0.17451 0.17567 0.17579 0.17748 0.17757 0.17758 0.17797 0.17808 0.17838 0.17884 0.17891 0.17929 0.17962 0.17977 0.18019 0.18035 0.18325 0.18400 0.18592 0.18615 0.18668 0.18680 0.18803 0.18818 0.18832 0.18915 0.18956 0.19038 0.19058 0.19065 0.19206 0.19320 0.19341 0.19496 0.19512 0.19629 0.19659 0.19681 0.19728 0.19769 0.19785 0.19806 0.19882 0.19907 0.19934 0.19978 0.20130 0.20165 0.20208 0.20362 0.20393 0.20396 0.20404 0.20406 0.20429 0.20483 0.20570 0.20626 0.20636 0.20644 0.20663 0.20687 0.20691 0.20704 0.20780 0.20806 0.20894 0.20914 0.20920 0.21027 0.21036 0.21041 0.21081 0.21125 0.21151 0.21162 0.21168 0.21200 0.21309 0.21330 0.21349 0.21371 0.21374 0.21377 0.21454 0.21522 0.21523 0.21537 0.21637 0.21671 0.21731 0.21806 0.21851 0.21881 0.21911 0.21912 0.21982 0.22023 0.22098 0.22107 0.22195 0.22206 0.22310 0.22343 0.22505 0.22674 0.22674 0.22815 0.22882 0.22938 0.23116 0.23164 0.23230 0.23235 0.23247 0.23266 0.23280 0.23368 0.23380 0.23421 0.23424 0.23533 0.23569 0.23571 0.23589 0.23673 0.23693 0.23748 0.23802 0.23896 0.23918 0.23930 0.23935 0.24025 0.24084 0.24259 0.24261 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0.97308 0.97347 0.97367 0.97515 0.97546 0.97673 0.97726 0.97755 0.97761 0.97814 0.97885 0.97977 0.97994 0.98116 0.98141 0.98198 0.98206 0.98242 0.98378 0.98611 0.98633 0.98791 0.98840 0.98877 0.98903 0.98921 0.98953 0.99210 0.99241 0.99342 0.99380 0.99412 0.99476 0.99540 0.99550 0.99604 0.99682 0.99816 0.99887 0.99929 1.00023 1.00101 1.00205 1.00207 1.00226 1.00257 1.00329 1.00361 1.00399 1.00403 1.00427 1.00496 1.00506 1.00633 1.00687 1.00707 1.00709 1.00788 1.00938 1.00938 1.01040 1.01044 1.01060 1.01144 1.01171 1.01185 1.01214 1.01254 1.01272 1.01283 1.01313 1.01362 1.01382 1.01557 1.01558 1.01604 1.01664 1.01668 1.01690 1.01768 1.01904 1.01944 1.02280 1.02467 1.02595 1.02701 1.02710 1.02861 1.02872 1.02897 1.02901 1.02927 1.02970 1.03202 1.03294 1.03521 1.03524 1.03679 1.03684 1.03735 1.03881 1.04039 1.04069 1.04100 1.04154 1.04162 1.04180 1.04236 1.04295 1.04305 1.04382 1.04397 1.04416 1.04558 1.04577 1.04586 1.04666 1.04701 1.04931 1.05152 1.05305 1.05439 1.05526 1.05581 1.05830 1.05869 1.05972 1.06016 1.06135 1.06251 1.06261 1.06292 1.06462 1.06552 1.06568 1.06578 1.06589 1.06614 1.06661 1.06746 1.07003 1.07021 1.07038 1.07117 1.07223 1.07300 1.07379 1.07395 1.07499 1.07520 1.07595 1.07618 1.07728 1.07885 1.07936 1.07960 1.08027 1.08055 1.08147 1.08161 1.08236 1.08302 1.08342 1.08549 1.08604 1.08620 1.08637 1.08706 1.08779 1.08846 1.08903 1.08935 1.08951 1.08957 1.08977 1.09034 1.09069 1.09179 1.09346 1.09370 1.09389 1.09418 1.09620 1.09647 1.09672 1.09886 1.09980 1.09997 1.10138 1.10269 1.10287 1.10288 1.10364 1.10369 1.10543 1.10583 1.10678 1.10796 1.10813 1.10880 1.10910 1.11190 1.11241 1.11275 1.11476 1.11491 1.11735 1.11762 1.11776 1.11781 1.11862 1.11916 1.12053 1.12068 1.12179 1.12225 1.12240 1.12464 1.12530 1.12646 1.12682 1.12845 1.12905 1.12949 1.12959 1.13126 1.13155 1.13235 1.13255 1.13263 1.13525 1.13549 1.13564 1.13580 1.13605 1.13674 1.13795 1.13849 1.13901 1.14263 1.14357 1.14589 1.14605 1.14819 1.14989 1.15166 1.15202 1.15208 1.15255 1.15274 1.15287 1.15327 1.15500 1.15584 1.15670 1.15713 1.15785 1.15837 1.15843 1.15891 1.16105 1.16353 1.16398 1.16405 1.16581 1.16754 1.16884 1.16905 1.16987 1.17023 1.17046 1.17048 1.17132 1.17208 1.17360 1.17362 1.17457 1.17469 1.17534 1.17576 1.17594 1.17861 1.17924 1.17997 1.18032 1.18065 1.18087 1.18106 1.18196 1.18279 1.18314 1.18365 1.18373 1.18398 1.18479 1.18524 1.18931 1.18963 1.19101 1.19184 1.19272 1.19586 1.19601 1.19602 1.19660 1.19730 1.19956 1.20012 1.20141 1.20166 1.20289 1.20374 1.20395 1.20456 1.20461 1.20787 1.20874 1.20920 1.21011 1.21048 1.21117 1.21137 1.21204 1.21416 1.21816 1.21896 1.22041 1.22081 1.22138 1.22197 1.22348 1.22382 1.22509 1.22688 1.22700 1.22720 1.22777 1.22816 1.22837 1.22914 1.22933 1.22989 1.23050 1.23286 1.23291 1.23394 1.23408 1.23448 1.23465 1.23507 1.23655 1.23678 1.23857 1.23954 1.23970 1.24067 1.24101 1.24154 1.24229 1.24230 1.24378 1.24419 1.24427 1.24508 1.24559 1.24582 1.24595 1.24648 1.24746 1.24757 1.24837 1.24878 1.25097 1.25103 1.25120 1.25161 1.25213 1.25344 1.25369 1.25421 1.25556 1.25616 1.25644 1.25870 1.26074 1.26238 1.26381 1.26525 1.26531 1.26572 1.26595 1.26789 1.26805 1.26823 1.26932 1.27024 1.27091 1.27098 1.27216 1.27253 1.27443 1.27648 1.27702 1.27732 1.27741 1.27825 1.27911 1.27956 1.27975 1.28051 1.28283 1.28429 1.28477 1.28682 1.28754 1.28779 1.28802 1.28819 1.28889 1.28892 1.28892 1.29011 1.29041 1.29065 1.29100 1.29181 1.29251 1.29288 1.29371 1.29528 1.29577 1.29592 1.29614 1.29788 1.29807 1.30050 1.30051 1.30068 1.30091 1.30302 1.30367 1.30386 1.30399 1.30429 1.30507 1.30519 1.30632 1.30669 1.30682 1.30689 1.30790 1.30846 1.30961 1.31172 1.31482 1.31512 1.31516 1.31558 1.31849 1.31935 1.31959 1.31986 1.32390 1.32565 1.32612 1.32620 1.32671 1.32689 1.32691 1.32745 1.32760 1.32802 1.32867 1.32872 1.32912 1.32955 1.32969 1.33242 1.33258 1.33366 1.33404 1.33443 1.33561 1.33610 1.33677 1.33730 1.34358 1.34606 1.34613 1.34653 1.34756 1.34806 1.34844 1.34913 1.35247 1.35706 1.35725 1.35741 1.35811 1.35863 1.35961 1.36021 1.36052 1.36069 1.36102 1.36195 1.36318 1.36377 1.36461 1.36634 1.36673 1.36742 1.36750 1.36758 1.36990 1.37052 1.37065 1.37087 1.37194 1.37330 1.37445 1.37565 1.37741 1.37761 1.37856 1.38068 1.38146 1.38240 1.38422 1.38556 1.38635 1.38644 1.38913 1.39052 1.39221 1.39270 1.39396 1.39441 1.39471 1.39513 1.39649 1.39695 1.39962 1.40003 1.40053 1.40190 1.40327 1.40406 1.40605 1.41203 1.41224 1.41259 1.41311 1.41377 1.41523 1.41609 1.41648 1.41729 1.41841 1.42012 1.42037 1.42346 1.42368 1.42413 1.42472 1.42498 1.42782 1.42853 1.42910 1.43109 1.43218 1.43317 1.43387 1.43419 1.43539 1.43580 1.43608 1.43972 1.44030 1.44039 1.44045 1.44125 1.44240 1.44485 1.44508 1.44667 1.44691 1.44697 1.44739 1.44885 1.45207 1.45262 1.45464 1.45526 1.45549 1.45656 1.45672 1.45966 1.46042 1.46066 1.46210 1.46340 1.46444 1.46512 1.46905 1.46957 1.47020 1.47220 1.47277 1.47277 1.47549 1.47801 1.47946 1.47947 1.47984 1.48286 1.48595 1.49010 1.49062 1.49164 1.49369 1.49582 1.49613 1.49731 1.49771 1.49874 1.49976 1.50077 1.50202 1.50221 1.50242 1.50389 1.50480 1.50670 1.50797 1.50851 1.50911 1.50955 1.51095 1.51189 1.51199 1.51424 1.51519 1.51598 1.51740 1.51777 1.51786 1.51915 1.51936 1.52035 1.52168 1.52324 1.52330 1.52334 1.52345 1.52437 1.52466 1.52553 1.52715 1.52722 1.52781 1.52793 1.52963 1.53025 1.53149 1.53296 1.53335 1.53561 1.53638 1.53821 1.53857 1.53980 1.54516 1.54700 1.54842 1.54910 1.55020 1.55158 1.55202 1.55243 1.55279 1.55327 1.55847 1.55865 1.55987 1.55994 1.56084 1.56139 1.56233 1.56288 1.56536 1.56608 1.56626 1.56735 1.57138 1.57211 1.57377 1.57384 1.57399 1.57493 1.57497 1.57677 1.57725 1.57821 1.57893 1.57991 1.58041 1.58043 1.58285 1.58608 1.58623 1.58632 1.58718 1.58735 1.58787 1.59055 1.59370 1.59407 1.59732 1.59799 1.59986 1.60221 1.60256 1.60649 1.60734 1.60831 1.60931 1.61025 1.61393 1.61408 1.61470 1.61487 1.61615 1.61848 1.61954 1.62030 1.62137 1.62230 1.62314 1.62427 1.62603 1.62929 1.63149 1.63174 1.63499 1.63688 1.63885 1.63932 1.63978 1.63979 1.64040 1.64231 1.64263 1.64269 1.64276 1.64717 1.64724 1.64817 1.65087 1.65188 1.65392 1.65728 1.65825 1.65894 1.66171 1.66408 1.66425 1.66483 1.66507 1.66734 1.66767 1.66876 1.67022 1.67112 1.67168 1.67355 1.67368 1.67514 1.67517 1.67690 1.67868 1.67935 1.67941 1.67980 1.68103 1.68205 1.68348 1.68759 1.68793 1.68793 1.68910 1.68940 1.69069 1.69134 1.69503 1.69559 1.69751 1.69870 1.69961 1.70079 1.70118 1.70179 1.70397 1.70443 1.70446 1.70451 1.70687 1.70821 1.70879 1.70883 1.70936 1.71022 1.71040 1.71052 1.71053 1.71084 1.71165 1.71209 1.71354 1.71462 1.71631 1.71668 1.71730 1.71827 1.71898 1.71917 1.71943 1.71952 1.72136 1.72217 1.72253 1.72290 1.72360 1.72420 1.72623 1.72675 1.72848 1.73002 1.73047 1.73052 1.73123 1.73269 1.73641 1.73881 1.74017 1.74165 1.74290 1.74481 1.74731 1.74827 1.74872 1.74911 1.74917 1.74946 1.75037 1.75198 1.75203 1.75210 1.75329 1.75397 1.75420 1.76228 1.76506 1.76710 1.76757 1.76865 1.77008 1.77142 1.77169 1.77226 1.77293 1.77410 1.77826 1.78150 1.78256 1.78631 1.78863 1.78872 1.78967 1.79014 1.79242 1.79285 1.79324 1.79357 1.79449 1.79498 1.79591 1.79964 1.80079 1.80381 1.80428 1.80559 1.80599 1.80681 1.80973 1.81091 1.81176 1.81224 1.81524 1.81609 1.81754 1.81863 1.81870 1.81914 1.81956 1.81997 1.82101 1.82112 1.82149 1.82279 1.82396 1.82753 1.83129 1.83333 1.83394 1.83696 1.83790 1.83839 1.84462 1.84469 1.84703 1.84837 1.84876 1.84930 1.84963 1.85030 1.85055 1.85403 1.85514 1.85682 1.86082 1.86250 1.86286 1.86316 1.86317 1.86758 1.86903 1.86972 1.87105 1.87192 1.87347 1.87543 1.88047 1.88084 1.88102 1.88149 1.88231 1.88237 1.88274 1.88378 1.88445 1.88514 1.88573 1.89113 1.89121 1.89328 1.89509 1.89668 1.89685 1.89693 1.89697 1.89711 1.90134 1.90334 1.90508 1.90545 1.90847 1.90974 1.91234 1.91289 1.91366 1.91857 1.91863 1.92091 1.92111 1.92500 1.92634 1.93146 1.93456 1.93747 1.93876 1.94087 1.94144 1.94274 1.94300 1.94535 1.94622 1.94654 1.94829 1.94944 1.94976 1.95382 1.95692 1.95786 1.95816 1.96025 1.96278 1.96642 1.96740 1.97016 1.97096 1.97182 1.97355 1.97581 1.97698 1.97714 1.97753 1.98128 1.98248 1.98332 1.98405 1.98449 1.98498 1.98994 1.99069 1.99435 1.99611 1.99635 1.99694 1.99774 2.00241 2.00320 2.00514 2.00646 2.00687 2.00905 2.01162 2.01219 2.01322 2.01455 2.01607 2.01800 2.01975 2.02285 2.02975 2.03113 2.03196 2.03363 2.03431 2.03494 2.03498 2.03514 2.03538 2.03718 2.03782 2.03904 2.04277 2.04325 2.04449 2.04476 2.04679 2.04837 2.04882 2.05037 2.05260 2.05953 2.06391 2.06673 2.06970 2.07010 2.07414 2.07627 2.07837 2.07963 2.08175 2.08224 2.08271 2.08299 2.08335 2.08574 2.08859 2.08911 2.08977 2.09039 2.09079 2.09307 2.09469 2.09509 2.09510 2.09510 2.09621 2.09666 2.09706 2.10024 2.10323 2.10672 2.10763 2.11059 2.11120 2.11148 2.11594 2.11854 2.12073 2.12345 2.12360 2.12824 2.12846 2.12950 2.13184 2.13929 2.14148 2.14631 2.15359 2.15442 2.16187 2.16357 2.16641 2.16671 2.17064 2.17856 2.17928 2.17960 2.17973 2.17977 2.18444 2.18461 2.19654 2.20419 2.20920 2.21112 2.21115 2.21886 2.22075 2.22106 2.22187 2.22561 2.22678 2.23743 2.23744 2.24032 2.24783 2.24883 2.25156 2.25325 2.25597 2.25614 2.25646 2.25797 2.25803 2.25856 2.25995 2.27521 2.27717 2.27839 2.28081 2.28174 2.28255 2.28645 2.28717 2.28879 2.28922 2.29310 2.30363 2.30514 2.30554 2.30716 2.31014 2.31270 2.31366 2.31547 2.31629 2.31735 2.31835 2.31998 2.32595 2.33121 2.33208 2.33788 2.33826 2.34340 2.34457 2.34564 2.34677 2.34792 2.35073 2.35224 2.35524 2.35683 2.36011 2.36452 2.36846 2.36922 2.37043 2.37065 2.37271 2.38325 2.38838 2.39027 2.39573 2.39673 2.39895 2.40078 2.40860 2.41081 2.41149 2.41230 2.41502 2.41760 2.41775 2.41881 2.42006 2.42517 2.43080 2.43104 2.44221 2.44291 2.44371 2.44668 2.44752 2.45177 2.45473 2.45504 2.46140 2.46315 2.46330 2.46446 2.46624 2.47440 2.47668 2.47699 2.47721 2.48534 2.48539 2.49117 2.49746 2.50388 2.51065 2.51818 2.52128 2.52188 2.52245 2.53473 2.53598 2.54054 2.56245 2.56344 2.57048 2.57470 2.57538 2.57615 2.57732 2.58643 2.58780 2.58800 2.58926 2.59689 2.60047 2.60222 2.60567 2.60805 2.61313 2.61607 2.62147 2.62776 2.62956 2.63722 2.64246 2.65163 2.65412 2.66205 2.66273 2.66345 2.66434 2.66496 2.66716 2.66866 2.67067 2.67230 2.67361 2.67427 2.67539 2.68969 2.69335 2.69482 2.69975 2.70559 2.70634 2.71239 2.71271 2.71304 2.71532 2.71860 2.72103 2.72582 2.73014 2.73416 2.73801 2.74492 2.75062 2.75192 2.75681 2.75956 2.76395 2.78728 2.79281 2.79803 2.79904 2.81425 2.81495 2.81725 2.81976 2.82131 2.82266 2.82391 2.82757 2.82999 2.84267 2.85300 2.85832 2.85873 2.86014 2.86225 2.86534 2.86714 2.87176 2.87436 2.88418 2.88775 2.88796 2.88893 2.89485 2.90409 2.91572 2.92152 2.93072 2.93196 2.93372 2.93544 2.94243 2.95351 2.98388 2.98399 2.98723 2.99983 3.01231 3.01275 3.01676 3.02132 3.02446 3.02476 3.02484 3.02832 3.03092 3.03457 3.04941 3.05503 3.06044 3.06573 3.06860 3.07432 3.07893 3.08305 3.09973 3.10023 3.10652 3.12085 3.14100 3.14428 3.14869 3.15713 3.15931 3.17072 3.17404 3.17589 3.18192 3.19597 3.19636 3.20560 3.21047 3.21878 3.24479 3.25273 3.26816 3.27034 3.27488 3.27777 3.28531 3.30015 3.30197 3.30913 3.32605 3.33535 3.33777 3.34000 3.34738 3.35345 3.35500 3.35852 3.35995 3.36486 3.37771 3.39421 3.39482 3.41197 3.42277 3.42420 3.42987 3.44276 3.45814 3.45959 3.46099 3.47866 3.48276 3.49508 3.50045 3.50570 3.50904 3.51294 3.51980 3.54313 3.56113 3.57490 3.57553 3.57811 3.58944 3.61325 3.62148 3.64106 3.64759 3.65275 3.66659 3.67410 3.67836 3.69063 3.69574 3.70050 3.70795 3.70871 3.71874 3.72337 3.73894 3.74370 3.74442 3.76303 3.77189 3.77695 3.81272 3.81740 3.86207 3.88827 3.89016 3.92772 3.97807 4.01571 4.02665 4.08239 4.09361 4.10120 4.10371 4.13145 4.15228 4.17141 4.19608 4.26459 4.30413 4.33909 4.35378 4.37164 4.38441 4.53143 4.53888 4.55139 4.57200 4.62078 4.65670 4.72633 4.78165 4.82011 4.84544 4.94248 4.95292 5.00071 5.06294 5.20007 5.21860 5.24483 5.35650 5.39798 5.47176 5.56516 5.65001 6.01268 6.02474 6.03638 6.06843 6.73983 9.07022 b) seq.out seq.out examples Example 1 The output file seq.out for Example 1 is given below: date and time 20051030 111237.540 Crit val nCV 0.000 1 0.937 2 1.232 3 1.476 4 1.679 5 1.867 6 2.058 7 2.267 8 2.525 9 2.887 10 date and time 20051030 111242.430 Example 2 The output file seq.out for Example 2 is given below: date and time 20051030 114238.940 Mcv= 5.57498026 for exactly 4 "unique" critical values Crit val nCV 5.575 10861 5.600 10862 5.767 10863 5.963 10864 date and time 20051030 115121.880 Example 3 The output file seq.out for Example 3 is given below: date and time 20070118 225649.871 nCV MCV FDR Reject .le. 20 2.90000 0.03608 1 19 2.60000 0.04276 2 18 2.50000 0.03647 3 17 2.40000 0.03449 4 16 2.30000 0.03319 5 15 2.20000 0.03381 6 14 2.10000 0.03457 7 13 1.90000 0.04462 8 12 1.90000 0.03699 9 11 1.80000 0.03811 10 As many as 10 hypotheses may be rejected date and time 20070118 225653.121 Example 4 The output file seq.out for Example 4 is given below: date and time 20070118 230352.777 nCV MCV FDR Reject .le. 3226 9.07022 0.00000 1 3225 6.73983 0.00000 2 3224 6.06843 0.00000 3 3223 6.03638 0.00000 4 3222 6.02474 0.00000 5 3221 6.01268 0.00000 6 3220 5.65001 0.00001 7 3219 5.56516 0.00000 8 3218 5.47176 0.00002 9 3217 5.39798 0.00001 10 3216 5.35650 0.00000 11 3215 5.24483 0.00008 12 3214 5.21860 0.00004 13 3213 5.20007 0.00004 14 3212 5.06294 0.00004 15 3211 5.00071 0.00013 16 3210 4.95292 0.00015 17 3209 4.94248 0.00012 18 3208 4.84544 0.00023 19 3207 4.82011 0.00023 20 3206 4.78165 0.00032 21 3205 4.72633 0.00037 22 3204 4.65670 0.00044 23 3203 4.62078 0.00054 24 3202 4.57200 0.00064 25 3201 4.55139 0.00063 26 3200 4.53888 0.00071 27 3199 4.53143 0.00069 28 3198 4.38441 0.00113 29 3197 4.37164 0.00142 30 3196 4.35378 0.00136 31 3195 4.33909 0.00152 32 3194 4.30413 0.00173 33 3193 4.26459 0.00184 34 3192 4.19608 0.00243 35 3191 4.17141 0.00282 36 3190 4.15228 0.00285 37 3189 4.13145 0.00299 38 3188 4.10371 0.00329 39 3187 4.10120 0.00325 40 3186 4.09361 0.00334 41 3185 4.08239 0.00329 42 3184 4.02665 0.00424 43 3183 4.01571 0.00416 44 3182 3.97807 0.00487 45 3181 3.92772 0.00588 46 3180 3.89016 0.00680 47 3179 3.88827 0.00652 48 3178 3.86207 0.00720 49 3177 3.81740 0.00839 50 3176 3.81272 0.00828 51 3175 3.77695 0.00949 52 3174 3.77189 0.00929 53 3173 3.76303 0.00972 54 3172 3.74442 0.01019 55 3171 3.74370 0.01019 56 3170 3.73894 0.01021 57 3169 3.72337 0.01066 58 3168 3.71874 0.01056 59 3167 3.70871 0.01106 60 3166 3.70795 0.01062 61 3165 3.70050 0.01072 62 3164 3.69574 0.01079 63 3163 3.69063 0.01087 64 3162 3.67836 0.01138 65 3161 3.67410 0.01139 66 3160 3.66659 0.01149 67 3159 3.65275 0.01182 68 3158 3.64759 0.01206 69 3157 3.64106 0.01227 70 3156 3.62148 0.01276 71 3155 3.61325 0.01322 72 3154 3.58944 0.01405 73 3153 3.57811 0.01445 74 3152 3.57553 0.01434 75 3151 3.57490 0.01446 76 3150 3.56113 0.01469 77 3149 3.54313 0.01561 78 3148 3.51980 0.01695 79 3147 3.51294 0.01699 80 3146 3.50904 0.01741 81 3145 3.50570 0.01729 82 3144 3.50045 0.01733 83 3143 3.49508 0.01740 84 3142 3.48276 0.01808 85 3141 3.47866 0.01808 86 3140 3.46099 0.01867 87 3139 3.45959 0.01895 88 3138 3.45814 0.01877 89 3137 3.44276 0.01985 90 3136 3.42987 0.02037 91 3135 3.42420 0.02057 92 3134 3.42277 0.02046 93 3133 3.41197 0.02106 94 3132 3.39482 0.02237 95 3131 3.39421 0.02197 96 3130 3.37771 0.02312 97 3129 3.36486 0.02368 98 3128 3.35995 0.02397 99 3127 3.35852 0.02389 100 3126 3.35500 0.02417 101 3125 3.35345 0.02357 102 3124 3.34738 0.02413 103 3123 3.34000 0.02454 104 3122 3.33777 0.02432 105 3121 3.33535 0.02467 106 3120 3.32605 0.02530 107 3119 3.30913 0.02639 108 3118 3.30197 0.02668 109 3117 3.30015 0.02668 110 3116 3.28531 0.02775 111 3115 3.27777 0.02793 112 3114 3.27488 0.02854 113 3113 3.27034 0.02834 114 3112 3.26816 0.02859 115 3111 3.25273 0.02976 116 3110 3.24479 0.03047 117 3109 3.21878 0.03272 118 3108 3.21047 0.03331 119 3107 3.20560 0.03389 120 3106 3.19636 0.03441 121 3105 3.19597 0.03438 122 3104 3.18192 0.03534 123 3103 3.17589 0.03609 124 3102 3.17404 0.03600 125 3101 3.17072 0.03606 126 3100 3.15931 0.03703 127 3099 3.15713 0.03704 128 3098 3.14869 0.03777 129 3097 3.14428 0.03783 130 3096 3.14100 0.03833 131 3095 3.12085 0.04081 132 3094 3.10652 0.04215 133 3093 3.10023 0.04299 134 3092 3.09973 0.04244 135 3091 3.08305 0.04448 136 3090 3.07893 0.04452 137 3089 3.07432 0.04526 138 3088 3.06860 0.04548 139 3087 3.06573 0.04571 140 3086 3.06044 0.04598 141 3085 3.05503 0.04672 142 3084 3.04941 0.04698 143 3083 3.03457 0.04886 144 3082 3.03092 0.04946 145 3081 3.02832 0.04944 146 3080 3.02484 0.04957 147 3079 3.02476 0.04907 148 3078 3.02446 0.04888 149 3077 3.02132 0.04916 150 3076 3.01676 0.04985 151 3075 3.01275 0.04967 152 3074 3.01231 0.04955 153 As many as 153 hypotheses may be rejected date and time 20070118 232605.058 c) crit.out crit.out Examples Example 1 The output file crit.out for Example 1 is given below: date and time 20051030 111237.540 100000 757 10 1 10 15 0.050 1 -6 0.100 nCV= 1 nCV is 1 d(nCV) is 0.00000000E+00 nCV= 10 nCV is 10 d(nCV) is 2.88739157 nCV= 2 try1= 0.00000000E+00 FDR1= 0.105393775 try2= 1.93878210 FDR2= 1.11533329E-02 try3= 1.13960052 FDR3= 3.89231108E-02 try3= 0.820820630 FDR3= 5.70235588E-02 try3= 0.944517493 FDR3= 4.95304428E-02 try3= 0.936766028 FDR3= 4.99762222E-02 nCV is 2 d(nCV) is 0.936766028 E(Q)= 0.049976 nCV= 3 try1= 1.87353206 FDR1= 2.01786384E-02 try2= 0.936766028 FDR2= 6.77776635E-02 try3= 1.28663683 FDR3= 4.69298065E-02 try3= 1.23511255 FDR3= 4.98294160E-02 nCV is 3 d(nCV) is 1.23208141 E(Q)= 0.049829 nCV= 4 try1= 1.23208141 FDR1= 6.59067407E-02 try2= 1.78881729 FDR2= 3.24736685E-02 try3= 1.49696445 FDR3= 4.86523584E-02 try3= 1.47627592 FDR3= 4.99672405E-02 nCV is 4 d(nCV) is 1.47627592 E(Q)= 0.049967 nCV= 5 try1= 1.66934955 FDR1= 5.06262332E-02 try2= 1.69126773 FDR2= 4.91852760E-02 try3= 1.67887509 FDR3= 5.00003584E-02 nCV is 5 d(nCV) is 1.67887509 E(Q)= 0.050000 nCV= 6 try1= 1.83987892 FDR1= 5.18152528E-02 try2= 1.90341270 FDR2= 4.75452691E-02 try3= 1.86688840 FDR3= 4.99665886E-02 nCV is 6 d(nCV) is 1.86688840 E(Q)= 0.049967 nCV= 7 try1= 2.04031587 FDR1= 5.14130108E-02 try2= 2.08977127 FDR2= 4.75334413E-02 try3= 2.05832839 FDR3= 4.99043688E-02 nCV is 7 d(nCV) is 2.05832839 E(Q)= 0.049904 nCV= 8 try1= 2.25319505 FDR1= 5.10088354E-02 try2= 2.28850436 FDR2= 4.83344980E-02 try3= 2.26651478 FDR3= 4.99778353E-02 nCV is 8 d(nCV) is 2.26651478 E(Q)= 0.049978 nCV= 9 try1= 2.49144745 FDR1= 5.29143326E-02 try2= 2.59344912 FDR2= 4.45254967E-02 try3= 2.52688336 FDR3= 4.97904979E-02 try3= 2.52450681 FDR3= 4.99421656E-02 nCV is 9 d(nCV) is 2.52450681 E(Q)= 0.049942 date and time 20051030 111242.430 Example 2 The output file crit.out for Example 2 is given below: date and time 20051030 114238.940 10000 753 10864 1 10864 30 0.010 2 -6 0.000 nCV= 10864 nCV is 10864 d(nCV) is 5.96293068 nCV= 10861 try1= 2.98146534 FDR1= 0.986727417 try2= 4.47219801 FDR2= 0.115276985 try3= 4.65228844 FDR3= 7.98188001E-02 try3= 5.00689459 FDR3= 3.72846536E-02 try3= 5.23436594 FDR3= 2.21148841E-02 try3= 5.41602898 FDR3= 1.45388506E-02 try3= 5.52486467 FDR3= 1.13196056E-02 try3= 5.56947756 FDR3= 1.01448959E-02 MCV= 5.57498026 for exactly 4 "unique" critical values nCV= 10862 try1= 5.57498026 FDR1= 1.05341179E-02 try2= 5.59367418 FDR2= 1.01341177E-02 try3= 5.59994221 FDR3= 9.93411709E-03 nCV is 10862 d(nCV) is 5.59994221 E(Q)= 0.009934 nCV= 10863 try1= 5.64986610 FDR1= 1.27697680E-02 try2= 5.74680805 FDR2= 1.03647681E-02 try3= 5.76151133 FDR3= 1.02147684E-02 try3= 5.78256321 FDR3= 9.71476827E-03 try3= 5.77055407 FDR3= 9.86476894E-03 nCV is 10863 d(nCV) is 5.76706028 E(Q)= 0.009865 date and time 20051030 115121.880 Example 3 The output file crit.out for Example 3 is given below: date and time 20070118 225649.871 100000 757 20 6 20 -1 0.050 1 -6 0.000 nCV MCV FDR Reject .le. 20 2.90000 0.03608 1 19 2.60000 0.04276 2 18 2.50000 0.03647 3 17 2.40000 0.03449 4 16 2.30000 0.03319 5 15 2.20000 0.03381 6 14 2.10000 0.03457 7 13 1.90000 0.04462 8 12 1.90000 0.03699 9 11 1.80000 0.03811 10 As many as 10 hypotheses may be rejected date and time 20070118 225653.121 Example 4 The output file crit.out for Example 4 is given below: 10000 757 3226 3090 3226 -1 0.050 2 -999 0.000 nCV MCV FDR Reject .le. 3226 9.07022 0.00000 1 3225 6.73983 0.00000 2 3224 6.06843 0.00000 3 3223 6.03638 0.00000 4 3222 6.02474 0.00000 5 3221 6.01268 0.00000 6 3220 5.65001 0.00001 7 3219 5.56516 0.00000 8 3218 5.47176 0.00002 9 3217 5.39798 0.00001 10 3216 5.35650 0.00000 11 3215 5.24483 0.00008 12 3214 5.21860 0.00004 13 3213 5.20007 0.00004 14 3212 5.06294 0.00004 15 3211 5.00071 0.00013 16 3210 4.95292 0.00015 17 3209 4.94248 0.00012 18 3208 4.84544 0.00023 19 3207 4.82011 0.00023 20 3206 4.78165 0.00032 21 3205 4.72633 0.00037 22 3204 4.65670 0.00044 23 3203 4.62078 0.00054 24 3202 4.57200 0.00064 25 3201 4.55139 0.00063 26 3200 4.53888 0.00071 27 3199 4.53143 0.00069 28 3198 4.38441 0.00113 29 3197 4.37164 0.00142 30 3196 4.35378 0.00136 31 3195 4.33909 0.00152 32 3194 4.30413 0.00173 33 3193 4.26459 0.00184 34 3192 4.19608 0.00243 35 3191 4.17141 0.00282 36 3190 4.15228 0.00285 37 3189 4.13145 0.00299 38 3188 4.10371 0.00329 39 3187 4.10120 0.00325 40 3186 4.09361 0.00334 41 3185 4.08239 0.00329 42 3184 4.02665 0.00424 43 3183 4.01571 0.00416 44 3182 3.97807 0.00487 45 3181 3.92772 0.00588 46 3180 3.89016 0.00680 47 3179 3.88827 0.00652 48 3178 3.86207 0.00720 49 3177 3.81740 0.00839 50 3176 3.81272 0.00828 51 3175 3.77695 0.00949 52 3174 3.77189 0.00929 53 3173 3.76303 0.00972 54 3172 3.74442 0.01019 55 3171 3.74370 0.01019 56 3170 3.73894 0.01021 57 3169 3.72337 0.01066 58 3168 3.71874 0.01056 59 3167 3.70871 0.01106 60 3166 3.70795 0.01062 61 3165 3.70050 0.01072 62 3164 3.69574 0.01079 63 3163 3.69063 0.01087 64 3162 3.67836 0.01138 65 3161 3.67410 0.01139 66 3160 3.66659 0.01149 67 3159 3.65275 0.01182 68 3158 3.64759 0.01206 69 3157 3.64106 0.01227 70 3156 3.62148 0.01276 71 3155 3.61325 0.01322 72 3154 3.58944 0.01405 73 3153 3.57811 0.01445 74 3152 3.57553 0.01434 75 3151 3.57490 0.01446 76 3150 3.56113 0.01469 77 3149 3.54313 0.01561 78 3148 3.51980 0.01695 79 3147 3.51294 0.01699 80 3146 3.50904 0.01741 81 3145 3.50570 0.01729 82 3144 3.50045 0.01733 83 3143 3.49508 0.01740 84 3142 3.48276 0.01808 85 3141 3.47866 0.01808 86 3140 3.46099 0.01867 87 3139 3.45959 0.01895 88 3138 3.45814 0.01877 89 3137 3.44276 0.01985 90 3136 3.42987 0.02037 91 3135 3.42420 0.02057 92 3134 3.42277 0.02046 93 3133 3.41197 0.02106 94 3132 3.39482 0.02237 95 3131 3.39421 0.02197 96 3130 3.37771 0.02312 97 3129 3.36486 0.02368 98 3128 3.35995 0.02397 99 3127 3.35852 0.02389 100 3126 3.35500 0.02417 101 3125 3.35345 0.02357 102 3124 3.34738 0.02413 103 3123 3.34000 0.02454 104 3122 3.33777 0.02432 105 3121 3.33535 0.02467 106 3120 3.32605 0.02530 107 3119 3.30913 0.02639 108 3118 3.30197 0.02668 109 3117 3.30015 0.02668 110 3116 3.28531 0.02775 111 3115 3.27777 0.02793 112 3114 3.27488 0.02854 113 3113 3.27034 0.02834 114 3112 3.26816 0.02859 115 3111 3.25273 0.02976 116 3110 3.24479 0.03047 117 3109 3.21878 0.03272 118 3108 3.21047 0.03331 119 3107 3.20560 0.03389 120 3106 3.19636 0.03441 121 3105 3.19597 0.03438 122 3104 3.18192 0.03534 123 3103 3.17589 0.03609 124 3102 3.17404 0.03600 125 3101 3.17072 0.03606 126 3100 3.15931 0.03703 127 3099 3.15713 0.03704 128 3098 3.14869 0.03777 129 3097 3.14428 0.03783 130 3096 3.14100 0.03833 131 3095 3.12085 0.04081 132 3094 3.10652 0.04215 133 3093 3.10023 0.04299 134 3092 3.09973 0.04244 135 3091 3.08305 0.04448 136 3090 3.07893 0.04452 137 3089 3.07432 0.04526 138 3088 3.06860 0.04548 139 3087 3.06573 0.04571 140 3086 3.06044 0.04598 141 3085 3.05503 0.04672 142 3084 3.04941 0.04698 143 3083 3.03457 0.04886 144 3082 3.03092 0.04946 145 3081 3.02832 0.04944 146 3080 3.02484 0.04957 147 3079 3.02476 0.04907 148 3078 3.02446 0.04888 149 3077 3.02132 0.04916 150 3076 3.01676 0.04985 151 3075 3.01275 0.04967 152 3074 3.01231 0.04955 153 As many as 153 hypotheses may be rejected date and time 20070118 232605.058