R version 3.0.2 (2013-09-25) -- "Frisbee Sailing" Copyright (C) 2013 The R Foundation for Statistical Computing Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1 + ,0.00784 + ,0.01109 + ,0.02182 + ,0.02211 + ,21.033 + ,0.414783 + ,0.815285 + ,-4.813031 + ,2.301442 + ,0.284654 + ,1 + ,0.00968 + ,0.01394 + ,0.03134 + ,0.01929 + ,19.085 + ,0.458359 + ,0.819521 + ,-4.075192 + ,2.486855 + ,0.368674 + ,1 + ,0.0105 + ,0.01633 + ,0.02757 + ,0.01309 + ,20.651 + ,0.429895 + ,0.825288 + ,-4.443179 + ,2.342259 + ,0.332634 + ,1 + ,0.00997 + ,0.01505 + ,0.02924 + ,0.01353 + ,20.644 + ,0.434969 + ,0.819235 + ,-4.117501 + ,2.405554 + ,0.368975 + ,1 + ,0.01284 + ,0.01966 + ,0.0349 + ,0.01767 + ,19.649 + ,0.417356 + ,0.823484 + ,-3.747787 + ,2.33218 + ,0.410335 + ,1 + ,0.00968 + ,0.01388 + ,0.02328 + ,0.01222 + ,21.378 + ,0.415564 + ,0.825069 + ,-4.242867 + ,2.18756 + ,0.357775 + ,1 + ,0.00333 + ,0.00466 + ,0.00779 + ,0.00607 + ,24.886 + ,0.59604 + ,0.764112 + ,-5.634322 + ,1.854785 + ,0.211756 + ,1 + ,0.0029 + ,0.00431 + ,0.00829 + ,0.00344 + ,26.892 + ,0.63742 + ,0.763262 + ,-6.167603 + ,2.064693 + ,0.163755 + ,1 + ,0.00551 + ,0.0088 + ,0.01073 + ,0.0107 + ,21.812 + ,0.615551 + ,0.773587 + ,-5.498678 + ,2.322511 + ,0.231571 + ,1 + ,0.00532 + ,0.00803 + ,0.01441 + ,0.01022 + ,21.862 + ,0.547037 + ,0.798463 + ,-5.011879 + ,2.432792 + ,0.271362 + ,1 + ,0.00505 + ,0.00763 + ,0.01079 + ,0.01166 + ,21.118 + ,0.611137 + ,0.776156 + ,-5.24977 + ,2.407313 + ,0.24974 + ,1 + ,0.0054 + ,0.00844 + ,0.01424 + ,0.01141 + ,21.414 + ,0.58339 + ,0.79252 + ,-4.960234 + ,2.642476 + ,0.275931 + ,1 + ,0.00293 + ,0.00355 + ,0.00656 + ,0.00581 + ,25.703 + ,0.4606 + ,0.646846 + ,-6.547148 + ,2.041277 + ,0.138512 + ,1 + ,0.0039 + ,0.00496 + ,0.00728 + ,0.01041 + ,24.889 + ,0.430166 + ,0.665833 + ,-5.660217 + ,2.519422 + ,0.199889 + ,1 + ,0.00294 + ,0.00364 + ,0.01064 + ,0.00609 + ,24.922 + ,0.474791 + ,0.654027 + ,-6.105098 + ,2.125618 + ,0.1701 + ,1 + ,0.00369 + ,0.00471 + ,0.00772 + ,0.00839 + ,25.175 + ,0.565924 + ,0.658245 + ,-5.340115 + ,2.205546 + ,0.234589 + ,1 + ,0.00544 + ,0.00632 + ,0.00969 + ,0.01859 + ,22.333 + ,0.56738 + ,0.644692 + ,-5.44004 + ,2.264501 + ,0.218164 + ,1 + ,0.00718 + ,0.00853 + ,0.01441 + ,0.02919 + ,20.376 + ,0.631099 + ,0.605417 + ,-2.93107 + ,3.007463 + ,0.430788 + ,1 + ,0.00742 + ,0.01092 + ,0.02471 + ,0.0316 + ,17.28 + ,0.665318 + ,0.719467 + ,-3.949079 + ,3.10901 + ,0.377429 + ,1 + ,0.00768 + ,0.01116 + ,0.01721 + ,0.03365 + ,17.153 + ,0.649554 + ,0.68608 + ,-4.554466 + ,2.856676 + ,0.322111 + ,1 + ,0.0084 + ,0.01285 + ,0.01667 + ,0.03871 + ,17.536 + ,0.660125 + ,0.704087 + ,-4.095442 + ,2.73971 + ,0.365391 + ,1 + ,0.0048 + ,0.00696 + ,0.02021 + ,0.01849 + ,19.493 + ,0.629017 + ,0.698951 + ,-5.18696 + ,2.557536 + ,0.259765 + ,1 + ,0.00442 + ,0.00661 + ,0.02228 + ,0.0128 + ,22.468 + ,0.61906 + ,0.679834 + ,-4.330956 + ,2.916777 + ,0.285695 + ,1 + ,0.00476 + ,0.00663 + ,0.02187 + ,0.0184 + ,20.422 + ,0.537264 + ,0.686894 + ,-5.248776 + ,2.547508 + ,0.253556 + ,1 + ,0.00742 + ,0.0114 + ,0.00738 + ,0.01778 + ,23.831 + ,0.397937 + ,0.732479 + ,-5.557447 + ,2.692176 + ,0.215961 + ,1 + ,0.00633 + ,0.00948 + ,0.01732 + ,0.02887 + ,22.066 + ,0.522746 + ,0.737948 + ,-5.571843 + ,2.846369 + ,0.219514 + ,1 + ,0.00455 + ,0.0075 + ,0.00889 + ,0.01095 + ,25.908 + ,0.418622 + ,0.720916 + ,-6.18359 + ,2.589702 + ,0.147403 + ,1 + ,0.00496 + ,0.00749 + ,0.00883 + ,0.01328 + ,25.119 + ,0.358773 + ,0.726652 + ,-6.27169 + ,2.314209 + ,0.162999 + ,1 + ,0.0031 + ,0.00476 + ,0.00769 + ,0.00677 + ,25.97 + ,0.470478 + ,0.676258 + ,-7.120925 + ,2.241742 + ,0.108514 + ,1 + ,0.00502 + ,0.00841 + ,0.00793 + ,0.0117 + ,25.678 + ,0.427785 + ,0.723797 + ,-6.635729 + ,1.957961 + ,0.135242 + ,0 + ,0.00289 + ,0.00498 + ,0.00563 + ,0.00339 + ,26.775 + ,0.422229 + ,0.741367 + ,-7.3483 + ,1.743867 + ,0.085569 + ,0 + ,0.00241 + ,0.00402 + ,0.00504 + ,0.00167 + ,30.94 + ,0.432439 + ,0.742055 + ,-7.682587 + ,2.103106 + ,0.068501 + ,0 + ,0.00212 + ,0.00339 + ,0.0064 + ,0.00119 + ,30.775 + ,0.465946 + ,0.738703 + ,-7.067931 + ,1.512275 + ,0.09632 + ,0 + ,0.0018 + ,0.00278 + ,0.00469 + ,0.00072 + ,32.684 + ,0.368535 + ,0.742133 + ,-7.695734 + ,1.544609 + ,0.056141 + ,0 + ,0.00178 + ,0.00283 + ,0.00468 + ,0.00065 + ,33.047 + ,0.340068 + ,0.741899 + ,-7.964984 + ,1.423287 + ,0.044539 + ,0 + ,0.00198 + ,0.00314 + ,0.00586 + ,0.00135 + ,31.732 + ,0.344252 + ,0.742737 + ,-7.777685 + ,2.447064 + ,0.05761 + ,1 + ,0.00411 + ,0.007 + ,0.01154 + ,0.00586 + ,23.216 + ,0.360148 + ,0.778834 + ,-6.149653 + ,2.477082 + ,0.165827 + ,1 + ,0.00369 + ,0.00616 + ,0.00938 + ,0.0034 + ,24.951 + ,0.341435 + ,0.783626 + ,-6.006414 + ,2.536527 + ,0.173218 + ,1 + ,0.00284 + ,0.00459 + ,0.00726 + ,0.00231 + ,26.738 + ,0.403884 + ,0.766209 + ,-6.452058 + ,2.269398 + ,0.141929 + ,1 + ,0.00316 + ,0.00504 + ,0.00829 + ,0.00265 + ,26.31 + ,0.396793 + ,0.758324 + ,-6.006647 + ,2.382544 + ,0.160691 + ,1 + ,0.00298 + ,0.00496 + ,0.00774 + ,0.00231 + ,26.822 + ,0.32648 + ,0.765623 + ,-6.647379 + ,2.374073 + ,0.130554 + ,1 + ,0.00258 + ,0.00403 + ,0.00742 + ,0.00257 + ,26.453 + ,0.306443 + ,0.759203 + ,-7.044105 + ,2.361532 + ,0.11573 + ,0 + ,0.00298 + ,0.00507 + ,0.01035 + ,0.0074 + ,22.736 + ,0.305062 + ,0.654172 + ,-7.31055 + ,2.416838 + ,0.095032 + ,0 + ,0.00281 + ,0.0047 + ,0.01006 + ,0.00675 + ,23.145 + ,0.457702 + ,0.634267 + ,-6.793547 + ,2.256699 + ,0.117399 + ,0 + ,0.0021 + ,0.00327 + ,0.00777 + ,0.00454 + ,25.368 + ,0.438296 + ,0.635285 + ,-7.057869 + ,2.330716 + ,0.09147 + ,0 + ,0.00225 + ,0.0035 + ,0.00847 + ,0.00476 + ,25.032 + ,0.431285 + ,0.638928 + ,-6.99582 + ,2.3658 + ,0.102706 + ,0 + ,0.00235 + ,0.0038 + ,0.00906 + ,0.00476 + ,24.602 + ,0.467489 + ,0.631653 + ,-7.156076 + ,2.392122 + ,0.097336 + ,0 + ,0.00185 + ,0.00276 + ,0.00614 + ,0.00432 + ,26.805 + ,0.610367 + ,0.635204 + ,-7.31951 + ,2.028612 + ,0.086398 + ,0 + ,0.00524 + ,0.00507 + ,0.00855 + ,0.00839 + ,23.162 + ,0.579597 + ,0.733659 + ,-6.439398 + ,2.079922 + ,0.133867 + ,0 + ,0.00428 + ,0.00373 + ,0.0093 + ,0.00462 + ,24.971 + ,0.538688 + ,0.754073 + ,-6.482096 + ,2.054419 + ,0.128872 + ,0 + ,0.00431 + ,0.00422 + ,0.01241 + ,0.00479 + ,25.135 + ,0.553134 + ,0.775933 + ,-6.650471 + ,1.840198 + ,0.103561 + ,0 + ,0.00448 + ,0.00393 + ,0.01143 + ,0.00474 + ,25.03 + ,0.507504 + ,0.760361 + ,-6.689151 + ,2.431854 + ,0.105993 + ,0 + ,0.00436 + ,0.00411 + ,0.01323 + ,0.00481 + ,24.692 + ,0.459766 + ,0.766204 + ,-7.072419 + ,1.972297 + ,0.119308 + ,0 + ,0.0049 + ,0.00495 + ,0.01396 + ,0.00484 + ,25.429 + ,0.420383 + ,0.785714 + ,-6.836811 + ,2.223719 + ,0.147491 + ,1 + ,0.00761 + ,0.01046 + ,0.01483 + ,0.01036 + ,21.028 + ,0.536009 + ,0.819032 + ,-4.649573 + ,1.986899 + ,0.3167 + ,1 + ,0.00874 + ,0.01193 + ,0.01789 + ,0.0118 + ,20.767 + ,0.558586 + ,0.811843 + ,-4.333543 + ,2.014606 + ,0.344834 + ,1 + ,0.00784 + ,0.01056 + ,0.02032 + ,0.00969 + ,21.422 + ,0.541781 + ,0.821364 + ,-4.438453 + ,1.92294 + ,0.335041 + ,1 + ,0.00752 + ,0.00898 + ,0.01189 + ,0.00681 + ,22.817 + ,0.530529 + ,0.817756 + ,-4.60826 + ,2.021591 + ,0.314464 + ,1 + ,0.00788 + ,0.01003 + ,0.01394 + ,0.00786 + ,22.603 + ,0.540049 + ,0.813432 + ,-4.476755 + ,1.827012 + ,0.326197 + ,1 + ,0.00867 + ,0.0112 + ,0.01805 + ,0.01143 + ,21.66 + ,0.547975 + ,0.817396 + ,-4.609161 + ,1.831691 + ,0.316395 + ,0 + ,0.00282 + ,0.00442 + ,0.00975 + ,0.00871 + ,25.554 + ,0.341788 + ,0.678874 + ,-7.040508 + ,2.460791 + ,0.101516 + ,0 + ,0.00264 + ,0.00461 + ,0.01013 + ,0.00301 + ,26.138 + ,0.447979 + ,0.686264 + ,-7.293801 + ,2.32156 + ,0.098555 + ,0 + ,0.00266 + ,0.00457 + ,0.00867 + ,0.0034 + ,25.856 + ,0.364867 + ,0.694399 + ,-6.966321 + ,2.278687 + ,0.103224 + ,0 + ,0.00296 + ,0.00526 + ,0.00882 + ,0.00351 + ,25.964 + ,0.25657 + ,0.683296 + ,-7.24562 + ,2.498224 + ,0.093534 + ,0 + ,0.00205 + ,0.00342 + ,0.00769 + ,0.003 + ,26.415 + ,0.27685 + ,0.673636 + ,-7.496264 + ,2.003032 + ,0.073581 + ,0 + ,0.00238 + ,0.00408 + ,0.00942 + ,0.0042 + ,24.547 + ,0.305429 + ,0.681811 + ,-7.314237 + ,2.118596 + ,0.091546 + ,1 + ,0.00817 + ,0.01289 + ,0.0183 + ,0.02183 + ,19.56 + ,0.460139 + ,0.720908 + ,-5.409423 + ,2.359973 + ,0.226156 + ,1 + ,0.00923 + ,0.0152 + ,0.01638 + ,0.02659 + ,19.979 + ,0.498133 + ,0.729067 + ,-5.324574 + ,2.291558 + ,0.226247 + ,1 + ,0.01101 + ,0.01941 + ,0.03152 + ,0.04882 + ,20.338 + ,0.513237 + ,0.731444 + ,-5.86975 + ,2.118496 + ,0.18558 + ,1 + ,0.00762 + ,0.014 + ,0.03357 + ,0.02431 + ,21.718 + ,0.487407 + ,0.727313 + ,-6.261141 + ,2.137075 + ,0.141958 + ,1 + ,0.00831 + ,0.01407 + ,0.01868 + ,0.02599 + ,20.264 + ,0.489345 + ,0.730387 + ,-5.720868 + ,2.277927 + ,0.180828 + ,1 + ,0.00971 + ,0.01601 + ,0.02749 + ,0.03361 + ,18.57 + ,0.543299 + ,0.733232 + ,-5.207985 + ,2.642276 + ,0.242981 + ,1 + ,0.00405 + ,0.0054 + ,0.00974 + ,0.00442 + ,25.742 + ,0.495954 + ,0.762959 + ,-5.79182 + ,2.205024 + ,0.18818 + ,1 + ,0.00533 + ,0.00805 + ,0.01373 + ,0.00623 + ,24.178 + ,0.509127 + ,0.789532 + ,-5.389129 + ,1.928708 + ,0.225461 + ,1 + ,0.00494 + ,0.0078 + ,0.01432 + ,0.00479 + ,25.438 + ,0.437031 + ,0.815908 + ,-5.31336 + ,2.225815 + ,0.244512 + ,1 + ,0.00516 + ,0.00831 + ,0.01284 + ,0.00472 + ,25.197 + ,0.463514 + ,0.807217 + ,-5.477592 + ,1.862092 + ,0.228624 + ,1 + ,0.005 + ,0.0081 + ,0.02413 + ,0.00905 + ,23.37 + ,0.489538 + ,0.789977 + ,-5.775966 + ,2.007923 + ,0.193918 + ,1 + ,0.00462 + ,0.00677 + ,0.01284 + ,0.0042 + ,25.82 + ,0.429484 + ,0.81634 + ,-5.391029 + ,1.777901 + ,0.232744 + ,1 + ,0.00608 + ,0.00994 + ,0.01803 + ,0.01062 + ,21.875 + ,0.644954 + ,0.779612 + ,-5.115212 + ,2.017753 + ,0.260015 + ,1 + ,0.01038 + ,0.01865 + ,0.01773 + ,0.0222 + ,19.2 + ,0.594387 + ,0.790117 + ,-4.913885 + ,2.398422 + ,0.277948 + ,1 + ,0.00694 + ,0.01168 + ,0.02266 + ,0.01823 + ,19.055 + ,0.544805 + ,0.770466 + ,-4.441519 + ,2.645959 + ,0.327978 + ,1 + ,0.00702 + ,0.01283 + ,0.01792 + ,0.01825 + ,19.659 + ,0.576084 + ,0.778747 + ,-5.132032 + ,2.232576 + ,0.260633 + ,1 + ,0.00606 + ,0.01053 + ,0.01371 + ,0.01237 + ,20.536 + ,0.55461 + ,0.787896 + ,-5.022288 + ,2.428306 + ,0.264666 + ,1 + ,0.00432 + ,0.00742 + ,0.01277 + ,0.00882 + ,22.244 + ,0.576644 + ,0.772416 + ,-6.025367 + ,2.053601 + ,0.177275 + ,1 + ,0.00747 + ,0.01254 + ,0.02679 + ,0.0547 + ,13.893 + ,0.556494 + ,0.729586 + ,-5.288912 + ,3.099301 + ,0.242119 + ,1 + ,0.00406 + ,0.00659 + ,0.02107 + ,0.02782 + ,16.176 + ,0.583574 + ,0.727747 + ,-5.657899 + ,3.098256 + ,0.200423 + ,1 + ,0.00321 + ,0.00488 + ,0.02073 + ,0.03151 + ,15.924 + ,0.598714 + ,0.712199 + ,-6.366916 + ,2.654271 + ,0.144614 + ,1 + ,0.0052 + ,0.00862 + ,0.03671 + ,0.04824 + ,13.922 + ,0.602874 + ,0.740837 + ,-5.515071 + ,3.13655 + ,0.220968 + ,1 + ,0.00448 + ,0.0071 + ,0.03788 + ,0.04214 + ,14.739 + ,0.599371 + ,0.743937 + ,-5.783272 + ,3.007096 + ,0.194052 + ,1 + ,0.00709 + ,0.01172 + ,0.02297 + ,0.07223 + ,11.866 + ,0.590951 + ,0.745526 + ,-4.379411 + ,3.671155 + ,0.332086 + ,1 + ,0.00742 + ,0.01161 + ,0.0365 + ,0.08725 + ,11.744 + ,0.65341 + ,0.733165 + ,-4.508984 + ,3.317586 + ,0.301952 + ,1 + ,0.00419 + ,0.00672 + ,0.04421 + ,0.01658 + ,19.664 + ,0.501037 + ,0.71436 + ,-6.411497 + ,2.344876 + ,0.13412 + ,1 + ,0.00459 + ,0.0075 + ,0.02383 + ,0.01914 + ,18.78 + ,0.454444 + ,0.734504 + ,-5.952058 + ,2.344336 + ,0.186489 + ,1 + ,0.00382 + ,0.00574 + ,0.03341 + ,0.01211 + ,20.969 + ,0.447456 + ,0.69779 + ,-6.152551 + ,2.080121 + ,0.160809 + ,1 + ,0.00358 + ,0.00587 + ,0.02062 + ,0.0085 + ,22.219 + ,0.50238 + ,0.71217 + ,-6.251425 + ,2.143851 + ,0.160812 + ,1 + ,0.00369 + ,0.00602 + ,0.01813 + ,0.01018 + ,21.693 + ,0.447285 + ,0.705658 + ,-6.247076 + ,2.344348 + ,0.164916 + ,1 + ,0.00342 + ,0.00535 + ,0.01806 + ,0.00852 + ,22.663 + ,0.366329 + ,0.693429 + ,-6.41744 + ,2.473239 + ,0.151709 + ,1 + ,0.0128 + ,0.02228 + ,0.02135 + ,0.08151 + ,15.338 + ,0.629574 + ,0.714485 + ,-4.020042 + ,2.671825 + ,0.340623 + ,1 + ,0.01378 + ,0.02478 + ,0.02542 + ,0.10323 + ,15.433 + ,0.57101 + ,0.690892 + ,-5.159169 + ,2.441612 + ,0.260375 + ,1 + ,0.01936 + ,0.03476 + ,0.03611 + ,0.16744 + ,12.435 + ,0.638545 + ,0.674953 + ,-3.760348 + ,2.634633 + ,0.378483 + ,1 + ,0.03316 + ,0.06433 + ,0.05358 + ,0.31482 + ,8.867 + ,0.671299 + ,0.656846 + ,-3.700544 + ,2.991063 + ,0.370961 + ,1 + ,0.01551 + ,0.02716 + ,0.03223 + ,0.11843 + ,15.06 + ,0.639808 + ,0.643327 + ,-4.20273 + ,2.638279 + ,0.356881 + ,1 + ,0.03011 + ,0.05563 + ,0.05551 + ,0.2593 + ,10.489 + ,0.596362 + ,0.641418 + ,-3.269487 + ,2.690917 + ,0.444774 + ,1 + ,0.00248 + ,0.00315 + ,0.00522 + ,0.00495 + ,26.759 + ,0.296888 + ,0.722356 + ,-6.878393 + ,2.004055 + ,0.113942 + ,1 + ,0.00183 + ,0.00229 + ,0.00469 + ,0.00243 + ,28.409 + ,0.263654 + ,0.691483 + ,-7.111576 + ,2.065477 + ,0.093193 + ,1 + ,0.00257 + ,0.00349 + ,0.0066 + ,0.00578 + ,27.421 + ,0.365488 + ,0.719974 + ,-6.997403 + ,1.994387 + ,0.112878 + ,1 + ,0.00168 + ,0.00204 + ,0.00522 + ,0.00233 + ,29.746 + ,0.334171 + ,0.67793 + ,-6.981201 + ,2.129924 + ,0.106802 + ,1 + ,0.00258 + ,0.00346 + ,0.00633 + ,0.00659 + ,26.833 + ,0.393563 + ,0.700246 + ,-6.600023 + ,2.499148 + ,0.105306 + ,1 + ,0.00174 + ,0.00225 + ,0.00455 + ,0.00238 + ,29.928 + ,0.311369 + ,0.676066 + ,-6.739151 + ,2.296873 + ,0.11513 + ,1 + ,0.00766 + ,0.01351 + ,0.01771 + ,0.00947 + ,21.934 + ,0.497554 + ,0.740539 + ,-5.845099 + ,2.608749 + ,0.185668 + ,1 + ,0.00621 + ,0.01112 + ,0.01192 + ,0.00704 + ,23.239 + ,0.436084 + ,0.727863 + ,-5.25832 + ,2.550961 + ,0.23252 + ,1 + ,0.00609 + ,0.01105 + ,0.00952 + ,0.0083 + ,22.407 + ,0.338097 + ,0.712466 + ,-6.471427 + ,2.502336 + ,0.13639 + ,1 + ,0.00841 + ,0.01506 + ,0.01277 + ,0.01316 + ,21.305 + ,0.498877 + ,0.722085 + ,-4.876336 + ,2.376749 + ,0.268144 + ,1 + ,0.00534 + ,0.00964 + ,0.00861 + ,0.0062 + ,23.671 + ,0.441097 + ,0.722254 + ,-5.96304 + ,2.489191 + ,0.177807 + ,1 + ,0.00495 + ,0.00905 + ,0.01107 + ,0.01048 + ,21.864 + ,0.331508 + ,0.715121 + ,-6.729713 + ,2.938114 + ,0.115515 + ,1 + ,0.00856 + ,0.01211 + ,0.00796 + ,0.06051 + ,23.693 + ,0.407701 + ,0.662668 + ,-4.673241 + ,2.702355 + ,0.274407 + ,1 + ,0.00476 + ,0.00642 + ,0.00606 + ,0.01554 + ,26.356 + ,0.450798 + ,0.653823 + ,-6.051233 + ,2.640798 + ,0.170106 + ,1 + ,0.00555 + ,0.00731 + ,0.00757 + ,0.01802 + ,25.69 + ,0.486738 + ,0.676023 + ,-4.597834 + ,2.975889 + ,0.28278 + ,1 + ,0.00462 + ,0.00472 + ,0.00617 + ,0.00856 + ,25.02 + ,0.470422 + ,0.655239 + ,-4.913137 + ,2.816781 + ,0.251972 + ,1 + ,0.00404 + ,0.00381 + ,0.00679 + ,0.00681 + ,24.581 + ,0.462516 + ,0.58271 + ,-5.517173 + ,2.925862 + ,0.220657 + ,1 + ,0.00581 + ,0.00723 + ,0.00849 + ,0.0235 + ,24.743 + ,0.487756 + ,0.68413 + ,-6.186128 + ,2.68624 + ,0.152428 + ,1 + ,0.0046 + ,0.00628 + ,0.00534 + ,0.01161 + ,27.166 + ,0.400088 + ,0.656182 + ,-4.711007 + ,2.655744 + ,0.234809 + ,1 + ,0.00704 + ,0.01218 + ,0.02587 + ,0.01968 + ,18.305 + ,0.538016 + ,0.74148 + ,-5.418787 + ,2.090438 + ,0.229892 + ,1 + ,0.00842 + ,0.01517 + ,0.01372 + ,0.01813 + ,18.784 + ,0.589956 + ,0.732903 + ,-5.44514 + ,2.174306 + ,0.215558 + ,1 + ,0.00694 + ,0.01209 + ,0.01289 + ,0.0202 + ,19.196 + ,0.618663 + ,0.728421 + ,-5.944191 + ,1.929715 + ,0.181988 + ,1 + ,0.00733 + ,0.01242 + ,0.01235 + ,0.01874 + ,18.857 + ,0.637518 + ,0.735546 + ,-5.594275 + ,1.765957 + ,0.222716 + ,1 + ,0.00544 + ,0.00883 + ,0.01484 + ,0.01794 + ,18.178 + ,0.623209 + ,0.738245 + ,-5.540351 + ,1.821297 + ,0.214075 + ,1 + ,0.00638 + ,0.01104 + ,0.01547 + ,0.01796 + ,18.33 + ,0.585169 + ,0.736964 + ,-5.825257 + ,1.996146 + ,0.196535 + ,1 + ,0.0044 + ,0.00641 + ,0.00538 + ,0.01724 + ,26.842 + ,0.457541 + ,0.699787 + ,-6.890021 + ,2.328513 + ,0.112856 + ,1 + ,0.0027 + ,0.00349 + ,0.00476 + ,0.00487 + ,26.369 + ,0.491345 + ,0.718839 + ,-5.892061 + ,2.108873 + ,0.183572 + ,1 + ,0.00492 + ,0.00808 + ,0.00703 + ,0.0161 + ,23.949 + ,0.46716 + ,0.724045 + ,-6.135296 + ,2.539724 + ,0.169923 + ,1 + ,0.00407 + ,0.00671 + ,0.00721 + ,0.01015 + ,26.017 + ,0.468621 + ,0.735136 + ,-6.112667 + ,2.527742 + ,0.170633 + ,1 + ,0.00346 + ,0.00508 + ,0.00633 + ,0.00903 + ,23.389 + ,0.470972 + ,0.721308 + ,-5.436135 + ,2.51632 + ,0.232209 + ,1 + ,0.00331 + ,0.00504 + ,0.0049 + ,0.00504 + ,25.619 + ,0.482296 + ,0.723096 + ,-6.448134 + ,2.034827 + ,0.141422 + ,1 + ,0.00589 + ,0.00873 + ,0.02683 + ,0.03031 + ,17.06 + ,0.637814 + ,0.744064 + ,-5.301321 + ,2.375138 + ,0.24308 + ,1 + ,0.00494 + ,0.00731 + ,0.02229 + ,0.02529 + ,17.707 + ,0.653427 + ,0.706687 + ,-5.333619 + ,2.631793 + ,0.228319 + ,1 + ,0.00451 + ,0.00658 + ,0.02385 + ,0.02278 + ,19.013 + ,0.6479 + ,0.708144 + ,-4.378916 + ,2.445502 + ,0.259451 + ,1 + ,0.00502 + ,0.00772 + ,0.02896 + ,0.0369 + ,16.747 + ,0.625362 + ,0.708617 + ,-4.654894 + ,2.672362 + ,0.274387 + ,1 + ,0.00472 + ,0.00715 + ,0.0307 + ,0.02629 + ,17.366 + ,0.640945 + ,0.701404 + ,-5.634576 + ,2.419253 + ,0.209191 + ,1 + ,0.00381 + ,0.00542 + ,0.01514 + ,0.01827 + ,18.801 + ,0.624811 + ,0.696049 + ,-5.866357 + ,2.445646 + ,0.184985 + ,1 + ,0.00571 + ,0.00696 + ,0.01713 + ,0.02485 + ,18.54 + ,0.677131 + ,0.685057 + ,-4.796845 + ,2.963799 + ,0.277227 + ,1 + ,0.00757 + ,0.01285 + ,0.04016 + ,0.04238 + ,15.648 + ,0.606344 + ,0.665945 + ,-5.410336 + ,2.665133 + ,0.231723 + ,1 + ,0.00376 + ,0.00546 + ,0.02055 + ,0.01728 + ,18.702 + ,0.606273 + ,0.661735 + ,-5.585259 + ,2.465528 + ,0.209863 + ,1 + ,0.0037 + ,0.00568 + ,0.01117 + ,0.0201 + ,18.687 + ,0.536102 + ,0.632631 + ,-5.898673 + ,2.470746 + ,0.189032 + ,1 + ,0.00254 + ,0.00301 + ,0.01475 + ,0.01049 + ,20.68 + ,0.49748 + ,0.630409 + ,-6.132663 + ,2.576563 + ,0.159777 + ,1 + ,0.00352 + ,0.00506 + ,0.01379 + ,0.01493 + ,20.366 + ,0.566849 + ,0.574282 + ,-5.456811 + ,2.840556 + ,0.232861 + ,1 + ,0.01568 + ,0.02589 + ,0.03804 + ,0.0753 + ,12.359 + ,0.56161 + ,0.793509 + ,-3.297668 + ,3.413649 + ,0.457533 + ,1 + ,0.01466 + ,0.02546 + ,0.02865 + ,0.06057 + ,14.367 + ,0.478024 + ,0.768974 + ,-4.276605 + ,3.142364 + ,0.336085 + ,1 + ,0.01719 + ,0.02987 + ,0.03474 + ,0.08069 + ,12.298 + ,0.55287 + ,0.764036 + ,-3.377325 + ,3.274865 + ,0.418646 + ,1 + ,0.01627 + ,0.02756 + ,0.03515 + ,0.07889 + ,14.989 + ,0.427627 + ,0.775708 + ,-4.892495 + ,2.910213 + ,0.270173 + ,1 + ,0.01872 + ,0.03225 + ,0.02699 + ,0.10952 + ,12.529 + ,0.507826 + ,0.762726 + ,-4.484303 + ,2.958815 + ,0.301487 + ,1 + ,0.03107 + ,0.05401 + ,0.05647 + ,0.21713 + ,8.441 + ,0.625866 + ,0.76832 + ,-2.434031 + ,3.079221 + ,0.527367 + ,1 + ,0.02714 + ,0.04705 + ,0.04284 + ,0.16265 + ,9.449 + ,0.584164 + ,0.754449 + ,-2.839756 + ,3.184027 + ,0.454721 + ,1 + ,0.00684 + ,0.01164 + ,0.0134 + ,0.04179 + ,21.52 + ,0.566867 + ,0.670475 + ,-4.865194 + ,2.01353 + ,0.168581 + ,1 + ,0.00692 + ,0.01179 + ,0.01484 + ,0.04611 + ,21.824 + ,0.65168 + ,0.659333 + ,-4.239028 + ,2.45113 + ,0.247455 + ,1 + ,0.00647 + ,0.01067 + ,0.01659 + ,0.02631 + ,22.431 + ,0.6283 + ,0.652025 + ,-3.583722 + ,2.439597 + ,0.206256 + ,1 + ,0.00727 + ,0.01246 + ,0.01205 + ,0.03191 + ,22.953 + ,0.611679 + ,0.623731 + ,-5.4351 + ,2.699645 + ,0.220546 + ,1 + ,0.01813 + ,0.03351 + ,0.0261 + ,0.10748 + ,19.075 + ,0.630547 + ,0.646786 + ,-3.444478 + ,2.964568 + ,0.261305 + ,1 + ,0.00975 + ,0.01778 + ,0.015 + ,0.03828 + ,21.534 + ,0.635015 + ,0.627337 + ,-5.070096 + ,2.8923 + ,0.249703 + ,1 + ,0.00605 + ,0.00962 + ,0.0136 + ,0.02663 + ,19.651 + ,0.654945 + ,0.675865 + ,-5.498456 + ,2.103014 + ,0.216638 + ,1 + ,0.00581 + ,0.00896 + ,0.01579 + ,0.02073 + ,20.437 + ,0.653139 + ,0.694571 + ,-5.185987 + ,2.151121 + ,0.244948 + ,1 + ,0.00619 + ,0.01057 + ,0.01644 + ,0.0281 + ,19.388 + ,0.577802 + ,0.684373 + ,-5.283009 + ,2.442906 + ,0.238281 + ,1 + ,0.00651 + ,0.01097 + ,0.01864 + ,0.02707 + ,18.954 + ,0.685151 + ,0.719576 + ,-5.529833 + ,2.408689 + ,0.22052 + ,1 + ,0.00519 + ,0.00873 + ,0.00967 + ,0.01435 + ,21.219 + ,0.557045 + ,0.673086 + ,-5.617124 + ,1.871871 + ,0.212386 + ,1 + ,0.00907 + ,0.0148 + ,0.01579 + ,0.03882 + ,18.447 + ,0.671378 + ,0.674562 + ,-2.929379 + ,2.560422 + ,0.367233 + ,0 + ,0.00277 + ,0.00462 + ,0.0141 + ,0.0062 + ,24.078 + ,0.469928 + ,0.628232 + ,-6.816086 + ,2.235197 + ,0.119652 + ,0 + ,0.00303 + ,0.00519 + ,0.00696 + ,0.00533 + ,24.679 + ,0.384868 + ,0.62671 + ,-7.018057 + ,1.852402 + ,0.091604 + ,0 + ,0.00339 + ,0.00616 + ,0.01186 + ,0.0091 + ,21.083 + ,0.440988 + ,0.628058 + ,-7.517934 + ,1.881767 + ,0.075587 + ,0 + ,0.00803 + ,0.0147 + ,0.01279 + ,0.01337 + ,19.269 + ,0.372222 + ,0.725216 + ,-5.736781 + ,2.88245 + ,0.202879 + ,0 + ,0.00517 + ,0.00949 + ,0.01176 + ,0.00965 + ,21.02 + ,0.371837 + ,0.646167 + ,-7.169701 + ,2.266432 + ,0.100881 + ,0 + ,0.00451 + ,0.00837 + ,0.01084 + ,0.01049 + ,21.528 + ,0.522812 + ,0.646818 + ,-7.3045 + ,2.095237 + ,0.09622 + ,0 + ,0.00355 + ,0.00499 + ,0.00664 + ,0.00435 + ,26.436 + ,0.413295 + ,0.7567 + ,-6.323531 + ,2.193412 + ,0.160376 + ,0 + ,0.00356 + ,0.0051 + ,0.00754 + ,0.0043 + ,26.55 + ,0.36909 + ,0.776158 + ,-6.085567 + ,1.889002 + ,0.174152 + ,0 + ,0.00349 + ,0.00514 + ,0.00748 + ,0.00478 + ,26.547 + ,0.380253 + ,0.7667 + ,-5.943501 + ,1.852542 + ,0.179677 + ,0 + ,0.00353 + ,0.00528 + ,0.00881 + ,0.0059 + ,25.445 + ,0.387482 + ,0.756482 + ,-6.012559 + ,1.872946 + ,0.163118 + ,0 + ,0.00332 + ,0.0048 + ,0.00812 + ,0.00401 + ,26.005 + ,0.405991 + ,0.761255 + ,-5.966779 + ,1.974857 + ,0.184067 + ,0 + ,0.00346 + ,0.00507 + ,0.00874 + ,0.00415 + ,26.143 + ,0.361232 + ,0.763242 + ,-6.016891 + ,2.004719 + ,0.174429 + ,1 + ,0.00314 + ,0.00406 + ,0.00728 + ,0.0057 + ,24.151 + ,0.39661 + ,0.745957 + ,-6.486822 + ,2.449763 + ,0.132703 + ,1 + ,0.00309 + ,0.00456 + ,0.00839 + ,0.00488 + ,24.412 + ,0.402591 + ,0.762508 + ,-6.311987 + ,2.251553 + ,0.160306 + ,1 + ,0.00392 + ,0.00612 + ,0.00725 + ,0.0054 + ,23.683 + ,0.398499 + ,0.778349 + ,-5.711205 + ,2.845109 + ,0.19273 + ,1 + ,0.00396 + ,0.00619 + ,0.01321 + ,0.00611 + ,23.133 + ,0.352396 + ,0.75932 + ,-6.261446 + ,2.264226 + ,0.144105 + ,1 + ,0.00397 + ,0.00605 + ,0.0095 + ,0.00639 + ,22.866 + ,0.408598 + ,0.768845 + ,-5.704053 + ,2.679185 + ,0.19771 + ,1 + ,0.00336 + ,0.00521 + ,0.01155 + ,0.00595 + ,23.008 + ,0.329577 + ,0.75718 + ,-6.27717 + ,2.209021 + ,0.156368 + ,0 + ,0.00417 + ,0.00558 + ,0.00864 + ,0.00955 + ,23.079 + ,0.603515 + ,0.669565 + ,-5.61907 + ,2.027228 + ,0.215724 + ,0 + ,0.00531 + ,0.0078 + ,0.0081 + ,0.01179 + ,22.085 + ,0.663842 + ,0.656516 + ,-5.198864 + ,2.120412 + ,0.252404 + ,0 + ,0.00314 + ,0.00403 + ,0.00667 + ,0.00737 + ,24.199 + ,0.598515 + ,0.654331 + ,-5.592584 + ,2.058658 + ,0.214346 + ,0 + ,0.00496 + ,0.00762 + ,0.0082 + ,0.01397 + ,23.958 + ,0.566424 + ,0.667654 + ,-6.431119 + ,2.161936 + ,0.120605 + ,0 + ,0.00267 + ,0.00345 + ,0.00631 + ,0.0068 + ,25.023 + ,0.528485 + ,0.663884 + ,-6.359018 + ,2.152083 + ,0.138868 + ,0 + ,0.00327 + ,0.00439 + ,0.00557 + ,0.00703 + ,24.775 + ,0.555303 + ,0.659132 + ,-6.710219 + ,1.91399 + ,0.121777 + ,0 + ,0.00694 + ,0.01235 + ,0.01454 + ,0.04441 + ,19.368 + ,0.508479 + ,0.683761 + ,-6.934474 + ,2.316346 + ,0.112838 + ,0 + ,0.00459 + ,0.0079 + ,0.02336 + ,0.02764 + ,19.517 + ,0.448439 + ,0.657899 + ,-6.538586 + ,2.657476 + ,0.13305 + ,0 + ,0.00564 + ,0.00994 + ,0.01604 + ,0.0181 + ,19.147 + ,0.431674 + ,0.683244 + ,-6.195325 + ,2.784312 + ,0.168895 + ,0 + ,0.0136 + ,0.01873 + ,0.01268 + ,0.10715 + ,17.883 + ,0.407567 + ,0.655683 + ,-6.787197 + ,2.679772 + ,0.131728 + ,0 + ,0.0074 + ,0.01109 + ,0.01265 + ,0.07223 + ,19.02 + ,0.451221 + ,0.643956 + ,-6.744577 + ,2.138608 + ,0.123306 + ,0 + ,0.00567 + ,0.00885 + ,0.01026 + ,0.04398 + ,21.209 + ,0.462803 + ,0.664357 + ,-5.724056 + ,2.555477 + ,0.148569) + ,dim=c(11 + ,195) + ,dimnames=list(c('status' + ,'MDVP:Jitter(%)' + ,'Jitter:DDP' + ,'Shimmer:APQ3' + ,'NHR' + ,'HNR' + ,'RPDE' + ,'DFA' + ,'spread1' + ,'D2' + ,'PPE') + ,1:195)) > y <- array(NA,dim=c(11,195),dimnames=list(c('status','MDVP:Jitter(%)','Jitter:DDP','Shimmer:APQ3','NHR','HNR','RPDE','DFA','spread1','D2','PPE'),1:195)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par1 = 'pearson' > main = 'Scatter Plots and p-values' > par1 <- 'pearson' > #'GNU S' R Code compiled by R2WASP v. 1.2.327 () > #Author: root > #To cite this work: Patrick Wessa, (2013), Multivariate Correlation Matrix (v1.0.7) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/Patrick.Wessa/rwasp_pairs.wasp/ > #Source of accompanying publication: > # > panel.tau <- function(x, y, digits=2, prefix='', cex.cor) + { + usr <- par('usr'); on.exit(par(usr)) + par(usr = c(0, 1, 0, 1)) + rr <- cor.test(x, y, method=par1) + r <- round(rr$p.value,2) + txt <- format(c(r, 0.123456789), digits=digits)[1] + txt <- paste(prefix, txt, sep='') + if(missing(cex.cor)) cex <- 0.5/strwidth(txt) + text(0.5, 0.5, txt, cex = cex) + } > panel.hist <- function(x, ...) + { + usr <- par('usr'); on.exit(par(usr)) + par(usr = c(usr[1:2], 0, 1.5) ) + h <- hist(x, plot = FALSE) + breaks <- h$breaks; nB <- length(breaks) + y <- h$counts; y <- y/max(y) + rect(breaks[-nB], 0, breaks[-1], y, col='grey', ...) + } > postscript(file="/var/wessaorg/rcomp/tmp/1pun81386680412.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pairs(t(y),diag.panel=panel.hist, upper.panel=panel.smooth, lower.panel=panel.tau, main=main) > dev.off() null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > n <- length(y[,1]) > n [1] 11 > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,paste('Correlations for all pairs of data series (method=',par1,')',sep=''),n+1,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,' ',header=TRUE) > for (i in 1:n) { + a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE) + } > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,dimnames(t(x))[[2]][i],header=TRUE) + for (j in 1:n) { + r <- cor.test(y[i,],y[j,],method=par1) + a<-table.element(a,round(r$estimate,3)) + } + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/26i7y1386680412.tab") > ncorrs <- (n*n -n)/2 > mycorrs <- array(0, dim=c(10,3)) > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Correlations for all pairs of data series with p-values',4,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'pair',1,TRUE) > a<-table.element(a,'Pearson r',1,TRUE) > a<-table.element(a,'Spearman rho',1,TRUE) > a<-table.element(a,'Kendall tau',1,TRUE) > a<-table.row.end(a) > cor.test(y[1,],y[2,],method=par1) Pearson's product-moment correlation data: y[1, ] and y[2, ] t = 4.024, df = 193, p-value = 8.21e-05 alternative hypothesis: true correlation is not equal to 0 95 percent confidence interval: 0.1433097 0.4029782 sample estimates: cor 0.2782196 > for (i in 1:(n-1)) + { + for (j in (i+1):n) + { + a<-table.row.start(a) + dum <- paste(dimnames(t(x))[[2]][i],';',dimnames(t(x))[[2]][j],sep='') + a<-table.element(a,dum,header=TRUE) + rp <- cor.test(y[i,],y[j,],method='pearson') + a<-table.element(a,round(rp$estimate,4)) + rs <- cor.test(y[i,],y[j,],method='spearman') + a<-table.element(a,round(rs$estimate,4)) + rk <- cor.test(y[i,],y[j,],method='kendall') + a<-table.element(a,round(rk$estimate,4)) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-value',header=T) + a<-table.element(a,paste('(',round(rp$p.value,4),')',sep='')) + a<-table.element(a,paste('(',round(rs$p.value,4),')',sep='')) + a<-table.element(a,paste('(',round(rk$p.value,4),')',sep='')) + a<-table.row.end(a) + for (iii in 1:10) { + iiid100 <- iii / 100 + if (rp$p.value < iiid100) mycorrs[iii, 1] = mycorrs[iii, 1] + 1 + if (rs$p.value < iiid100) mycorrs[iii, 2] = mycorrs[iii, 2] + 1 + if (rk$p.value < iiid100) mycorrs[iii, 3] = mycorrs[iii, 3] + 1 + } + } + } There were 40 warnings (use warnings() to see them) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/3evan1386680412.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,'Meta Analysis of Correlation Tests',4,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Number of significant by total number of Correlations',4,TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Type I error',1,TRUE) > a<-table.element(a,'Pearson r',1,TRUE) > a<-table.element(a,'Spearman rho',1,TRUE) > a<-table.element(a,'Kendall tau',1,TRUE) > a<-table.row.end(a) > for (iii in 1:10) { + iiid100 <- iii / 100 + a<-table.row.start(a) + a<-table.element(a,round(iiid100,2),header=T) + a<-table.element(a,round(mycorrs[iii,1]/ncorrs,2)) + a<-table.element(a,round(mycorrs[iii,2]/ncorrs,2)) + a<-table.element(a,round(mycorrs[iii,3]/ncorrs,2)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/4ihh61386680413.tab") > > try(system("convert tmp/1pun81386680412.ps tmp/1pun81386680412.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 8.277 1.709 9.962