parameters_in_locfdr

parameters_in_locfdr(
  p,
  q,
  indep_index,
  res_p = 300,
  res_q = 500,
  maf = NULL,
  check_indep_cor = TRUE,
  enforce_p_q_cor = TRUE
)

Arguments

p

p values for principal trait (vector of length n)

q

continuous auxiliary data values (vector of length n)

indep_index

indices of independent SNPs

res_p

resolution for p

res_q

resolution for q

maf

minor allele frequencies for SNPs to which p and q relate (optional and used to perform MAF matching)

check_indep_cor

check that sign of the correlation between p and q is the same in the independent subset as in the whole

enforce_p_q_cor

if p and q are negatively correlated, flip the sign on q values

Value

list of values used as input into locfdr::locfdr function intrinsically in flexible_cfdr

Examples

# In this example, we generate some p-values (representing GWAS p-values) # and some arbitrary auxiliary data values (e.g. representing functional genomic data). # We use the parameters_in_locfdr() function to extract the parameters estimated by # the locfdr function. # generate p set.seed(1) n <- 1000 n1p <- 50 zp <- c(rnorm(n1p, sd=5), rnorm(n-n1p, sd=1)) p <- 2*pnorm(-abs(zp)) # generate q mixture_comp1 <- function(x) rnorm(x, mean = -0.5, sd = 0.5) mixture_comp2 <- function(x) rnorm(x, mean = 2, sd = 1) q <- c(mixture_comp1(n1p), mixture_comp2(n-n1p)) n_indep <- n parameters_in_locfdr(p, q, indep_index = 1:n_indep)
#> $zz #> [1] 3.132269054 0.918216621 4.178143062 7.976404011 1.647538859 #> [6] 4.102341921 2.437145262 3.691623526 2.878906758 1.526941936 #> [11] 7.558905842 1.949216182 3.106202903 11.073499436 5.624654591 #> [16] 0.224668045 0.080951315 4.719181053 4.106105975 2.969506606 #> [21] 4.594886858 3.910681504 0.372824917 9.946758479 3.099128739 #> [26] 0.280643698 0.778977534 7.353761919 2.390750276 2.089707801 #> [31] 6.793397758 0.513938637 1.938358058 0.269025203 6.885297784 #> [36] 2.074972816 1.971449769 0.296566984 5.500126860 3.815878742 #> [41] 0.822617981 1.266808401 3.484816877 2.783315993 3.443778473 #> [46] 3.537475785 1.822909811 3.842664623 0.561731061 4.405538632 #> [51] 0.398105880 0.612026393 0.341119691 1.129363096 1.433023702 #> [56] 1.980399899 0.367221476 1.044134626 0.569719627 0.135054604 #> [61] 2.401617761 0.039240003 0.689739362 0.028002159 0.743273209 #> [66] 0.188792300 1.804958629 1.465554862 0.153253338 2.172611670 #> [71] 0.475509529 0.709946431 0.610726353 0.934097632 1.253633400 #> [76] 0.291446236 0.443291873 0.001105352 0.074341324 0.589520946 #> [81] 0.568668733 0.135178615 1.178086997 1.523566800 0.593946188 #> [86] 0.332950371 1.063099837 0.304183924 0.370018810 0.267098791 #> [91] 0.542520031 1.207867806 1.160402616 0.700213650 1.586833455 #> [96] 0.558486426 1.276592208 0.573265414 1.224612615 0.473400636 #> [101] 0.620366677 0.042115873 0.910921649 0.158028772 0.654584644 #> [106] 1.767287269 0.716707476 0.910174229 0.384185358 1.682176081 #> [111] 0.635736454 0.461644730 1.432282239 0.650696353 0.207380744 #> [116] 0.392807929 0.319992869 0.279113303 0.494188331 0.177330482 #> [121] 0.505957462 1.343038825 0.214579409 0.179556530 0.100190741 #> [126] 0.712666307 0.073564404 0.037634171 0.681660479 0.324270272 #> [131] 0.060160440 0.588894486 0.531496193 1.518394082 0.306557861 #> [136] 1.536449824 0.300976127 0.528279904 0.652094781 0.056896778 #> [141] 1.914359426 1.176583312 1.664972436 0.463530401 1.115920105 #> [146] 0.750819001 2.087166546 0.017395620 1.286300530 1.640605534 #> [151] 0.450187101 0.018559833 0.318068375 0.929362147 1.487460310 #> [156] 1.075192297 1.000028804 0.621266695 1.384426847 1.869290622 #> [161] 0.425100377 0.238647101 1.058483049 0.886422651 0.619243048 #> [166] 2.206102465 0.255027030 1.424494650 0.144399602 0.207538339 #> [171] 2.307978399 0.105802368 0.456998805 0.077152935 0.334000842 #> [176] 0.034726028 0.787639606 2.075245009 1.027392439 1.207908398 #> [181] 1.231323422 0.983895570 0.219924804 1.467250029 0.521022743 #> [186] 0.158754605 1.464587312 0.766082000 0.430211754 0.926109497 #> [191] 0.177103961 0.402011779 0.731748173 0.830373168 1.208082786 #> [196] 1.047984413 1.441157707 1.015847465 0.411974712 0.381076051 #> [201] 0.409401840 1.688873286 1.586588433 0.330907801 2.285235535 #> [206] 2.497661590 0.667066167 0.541327336 0.013399523 0.510108423 #> [211] 0.164375832 0.420694643 0.400246744 1.370207878 0.987838267 #> [216] 1.519745025 0.308740569 1.253289756 0.642241306 0.044709137 #> [221] 1.733218407 0.002131860 0.630300334 0.340968580 1.156572363 #> [226] 1.803141908 0.331132036 1.605513412 0.197193439 0.263175646 #> [231] 0.985826700 2.888920672 0.640481703 0.570507636 0.059723276 #> [236] 0.098178744 0.560820729 1.186458639 1.096777044 0.005344028 #> [241] 0.707310667 1.034107735 0.223480415 0.878707613 1.162964556 #> [246] 2.000164945 0.544790740 0.255670709 0.166121037 1.020463909 #> [251] 0.136221893 0.407167603 0.069654813 0.247664342 0.695550807 #> [256] 1.146228357 2.403096215 0.572739555 0.374724407 0.425267722 #> [261] 0.951012808 0.389237182 0.284330662 0.857409778 1.719627299 #> [266] 0.270054901 0.422184010 1.189113295 0.331032979 0.939829327 #> [271] 0.258932583 0.394379168 0.851857092 2.649166881 0.156011676 #> [276] 1.130207267 2.289123980 0.741001157 1.316245160 0.919803678 #> [281] 0.398130155 0.407528579 1.324258630 0.701231669 0.580614304 #> [286] 1.001072181 0.668178607 0.945184953 0.433702150 1.005159218 #> [291] 0.390118664 0.376370292 0.244164924 1.426257342 1.778429287 #> [296] 0.134447661 0.765598999 0.955136677 0.050565701 0.305815420 #> [301] 0.893673702 1.047298149 1.971337386 0.383632106 1.654145302 #> [306] 1.512212694 0.082965734 0.567220915 1.024548480 0.323006503 #> [311] 1.043612458 0.099078487 0.454136909 0.655781852 0.035922423 #> [316] 1.069161461 0.483974930 0.121010111 1.294140004 0.494312836 #> [321] 1.307901520 1.497041009 0.814702731 1.869788790 0.482029504 #> [326] 0.456135603 0.353400286 0.170489471 0.864035954 0.679230774 #> [331] 0.327101015 1.569082185 0.367450756 1.364434929 0.334281365 #> [336] 0.732750042 0.946585640 0.004398704 0.352322306 0.529695509 #> [341] 0.739589226 1.063457415 0.246210844 0.289499367 2.264889356 #> [346] 1.408850456 0.916019329 0.191278951 0.803283216 1.887474463 #> [351] 1.473881181 0.677268492 0.379962687 0.192798426 1.577891795 #> [356] 0.596234109 1.173576941 0.155642535 1.918909820 0.195258846 #> [361] 2.592327670 1.314002167 0.635543001 0.429978839 0.169318332 #> [366] 0.612218174 0.678340177 0.567951972 0.572542604 1.363291256 #> [371] 0.388722244 0.277914132 0.823081122 0.068840934 1.167662326 #> [376] 0.008309014 0.128855402 0.145875628 0.163910957 1.763552003 #> [381] 0.762586512 1.111431081 0.923206953 0.164341838 1.154825187 #> [386] 0.056521425 2.129360648 0.344845762 1.904955446 0.811170153 #> [391] 1.324004321 0.615636849 1.091668956 0.306604862 0.110158762 #> [396] 0.924312773 1.592913754 0.045010598 0.715128401 0.865223100 #> [401] 1.074440958 1.895654774 0.602997304 0.390867821 0.416222032 #> [406] 0.375657423 0.366630946 0.295677453 1.441820410 0.697538292 #> [411] 0.388167506 0.652536452 1.124772447 0.772110803 0.508086216 #> [416] 0.523620590 1.017754227 0.251164588 1.429993447 1.709121032 #> [421] 1.435069572 0.710371146 0.065067574 1.759468735 0.569722972 #> [426] 1.612346798 1.637280647 0.779568513 0.641176934 0.681131394 #> [431] 2.033285596 0.500963559 1.531798140 0.024997639 0.592984721 #> [436] 0.198195421 0.892008392 0.025715071 0.647660451 0.646359415 #> [441] 0.433832740 1.772611185 0.018259711 0.852814994 0.205162903 #> [446] 3.008048599 1.366111931 0.424102260 0.236803664 2.342723120 #> [451] 0.961696633 0.604425734 0.752877279 1.555611593 1.453893738 #> [456] 0.056331836 0.509369407 2.097882960 1.004361979 0.535771722 #> [461] 0.453037085 2.165368502 1.245746673 0.595498034 0.004884450 #> [466] 0.279360782 0.705906125 0.628017153 1.480213960 1.083429910 #> [471] 0.813244257 1.618876849 0.109655699 0.440889371 1.350993980 #> [476] 1.318609485 0.364384593 0.233499835 1.193955261 0.027909972 #> [481] 0.357298855 1.146814136 0.517420484 0.362123773 2.350554326 #> [486] 2.446531376 0.166703279 1.043667439 1.972934934 0.514671633 #> [491] 1.090573584 2.284659326 0.885617573 0.111106430 3.810276681 #> [496] 1.108909998 0.307566624 1.106894472 0.347653649 0.873264535 #> [501] 0.077303123 0.296868642 1.183242240 0.011292688 0.991601036 #> [506] 1.593967454 1.372711271 0.249610933 1.159424527 1.114222348 #> [511] 2.528500689 0.935902559 0.967239458 0.047488592 0.403736793 #> [516] 0.231496128 0.422372408 0.374118395 0.366005775 1.190101447 #> [521] 0.737327525 0.290666645 0.884849568 0.208006479 0.047730172 #> [526] 1.684520646 0.144226557 1.180213666 0.681399923 0.143247631 #> [531] 1.192316444 1.169228653 0.079201709 0.451773753 1.642028213 #> [536] 0.769592322 0.303360961 1.281737421 0.602222795 0.307022265 #> [541] 0.418418103 0.355135530 0.513481115 0.018607400 1.318448972 #> [546] 0.065832000 0.700296078 0.537326132 2.201782322 0.391973744 #> [551] 0.496960952 0.224874715 1.117143165 0.394994603 1.549830342 #> [556] 0.743514480 2.331712118 0.812245442 0.501310657 0.510886566 #> [561] 1.215364041 0.022558628 0.701239300 0.587482026 0.606727941 #> [566] 1.096640215 0.247509677 0.159901713 0.625778251 0.900434636 #> [571] 0.994193629 0.849250386 0.805702289 0.467600936 0.848420314 #> [576] 0.986769864 0.575620289 2.024842045 1.962353191 1.164920931 #> [581] 1.376519214 0.167679934 1.584629079 1.677888953 0.488296698 #> [586] 0.878673263 0.144874874 0.468971760 0.376235477 0.761040275 #> [591] 0.293294934 0.134841264 1.393845816 1.036988690 2.114335148 #> [596] 0.768278218 0.816160621 0.436106923 0.904705031 0.763086265 #> [601] 0.341066980 1.502424534 0.528307712 0.542191355 0.136673356 #> [606] 1.136733853 1.496627154 0.223385644 2.001719228 0.221703816 #> [611] 0.164372909 0.332623609 0.385207999 1.398754027 2.675740796 #> [616] 0.423686089 0.298601512 1.792341727 0.248008225 0.247303918 #> [621] 0.255510379 1.786938100 1.784662816 1.763586348 0.689600222 #> [626] 1.100740644 0.714509357 0.246470317 0.319786166 1.362644293 #> [631] 1.227882590 0.511219233 0.731194999 0.019752007 1.572863915 #> [636] 0.703333270 0.715932089 0.465214906 0.973902306 0.559217730 #> [641] 2.432639745 0.340484927 0.713033195 0.659037386 0.036402623 #> [646] 1.593286302 0.847792797 1.850388849 0.323650632 0.255248113 #> [651] 0.060921227 0.823491629 1.829730485 1.429916216 0.254137143 #> [656] 2.939773695 0.002415809 0.509665571 1.084720001 0.704832977 #> [661] 0.330976350 0.976327473 0.843339880 0.970579905 1.771531349 #> [666] 0.322470342 1.338800742 0.688156028 0.071280652 2.189752359 #> [671] 1.157707599 1.181688064 0.527368362 1.456628011 0.572967370 #> [676] 1.433377705 1.055185019 0.733111877 0.210907264 0.998920727 #> [681] 1.077850323 1.198974383 0.216637035 0.143087030 1.065750091 #> [686] 0.428623411 0.656179477 0.959394327 1.556052636 1.040796434 #> [691] 0.930572409 0.075445931 1.967195349 0.755903643 0.461149161 #> [696] 0.145106631 2.442311321 0.580318685 0.655051998 0.304508837 #> [701] 0.707568233 1.971572014 0.089998681 0.014017252 1.123456937 #> [706] 1.344130123 1.523155771 0.421968210 1.360924464 1.753794845 #> [711] 1.568364734 1.296755570 0.237596251 1.224150136 0.327812680 #> [716] 2.412450276 0.313792873 1.659878705 0.130953101 1.095888683 #> [721] 0.489340957 0.778910295 1.743559353 0.078387285 0.975553793 #> [726] 0.070659825 1.518599529 0.863779033 0.501568385 0.354781330 #> [731] 0.488428888 0.936293947 1.062408386 0.983820872 0.424247877 #> [736] 0.451313481 0.925084797 0.198620810 1.194851017 0.495544705 #> [741] 2.245152574 1.335371360 1.282775206 0.690795904 0.967062668 #> [746] 1.345793685 1.033665389 0.811776460 1.801725479 1.771541960 #> [751] 1.454691370 0.845654313 1.250479659 0.667288068 1.290769688 #> [756] 2.035003538 2.021346994 1.005973488 0.817123601 0.663988284 #> [761] 0.011281231 0.619677256 1.281238742 0.124261326 0.175741655 #> [766] 1.692773794 0.642132717 1.282233032 0.140546974 1.112502683 #> [771] 0.339676972 1.664764639 0.928851762 1.416826835 0.062720778 #> [776] 0.980902336 1.087150251 0.139327027 0.386272098 1.123585423 #> [781] 0.759845657 1.148959103 0.842476259 0.391413340 0.891377242 #> [786] 1.335258713 0.398123478 0.111586803 0.675743917 0.788597935 #> [791] 0.086986334 1.382284008 0.168490164 0.823190948 0.220894598 #> [796] 1.029391655 0.010925691 1.224991155 2.596111388 1.169122592 #> [801] 1.086908817 1.826083013 0.995281807 0.011861781 0.599628395 #> [806] 0.177947987 0.425981342 0.996658776 0.727660709 1.726630596 #> [811] 0.353398496 0.726813666 0.668260976 2.424317309 0.235357425 #> [816] 1.979633321 0.796794539 1.709276181 1.663668712 0.491109552 #> [821] 0.174055486 0.961290564 0.293826662 0.080999364 0.183661843 #> [826] 0.166255035 1.269599066 2.349493321 1.412005407 0.016961493 #> [831] 0.544319353 1.800112333 1.011440176 0.563716556 0.205420795 #> [836] 1.165461950 2.236322840 0.302265076 1.042506602 0.983542313 #> [841] 2.005718580 2.070571484 3.055742369 0.261350594 0.454393259 #> [846] 0.157560555 0.933388728 0.302828276 1.956150222 0.353536709 #> [851] 0.450424514 0.659550871 1.031420728 2.371022881 0.324576308 #> [856] 0.944298751 0.765889998 0.953779267 0.398004450 0.311217063 #> [861] 0.796092713 0.986428344 0.794531662 0.308817972 0.361444766 #> [866] 1.398791105 0.056070420 1.698873492 0.231852545 0.119090671 #> [871] 1.772492853 0.343422165 0.623049782 0.439522294 0.505296790 #> [876] 0.186035137 0.176417798 0.915848207 0.320176726 0.366687297 #> [881] 0.940611295 0.634702931 0.062488482 0.182837868 1.103641018 #> [886] 1.752035619 0.953816460 1.644080457 0.866733529 0.266352192 #> [891] 0.222370495 0.276908510 1.394253041 0.658912000 0.660531281 #> [896] 0.013255700 0.931480299 1.214689143 2.088340366 0.526152469 #> [901] 1.541402567 0.194321070 0.264422549 1.118735169 0.650952956 #> [906] 1.032900239 0.659201499 0.237829400 0.715275947 0.938483039 #> [911] 0.095354010 0.462819420 1.468882156 0.152686506 1.773762611 #> [916] 0.648070934 0.199817476 0.689243733 0.036145510 1.943536312 #> [921] 0.737213734 2.321333933 0.348909346 1.133916661 0.421335268 #> [926] 0.924556257 1.007062366 0.189474330 0.933916700 0.343910000 #> [931] 0.814020276 0.915341002 0.171852130 2.402231114 0.795906852 #> [936] 2.169115869 0.058383499 1.354914450 0.367550766 0.934517579 #> [941] 0.041639220 0.676112006 0.866436147 0.235175025 0.933970133 #> [946] 0.813252167 1.348318555 2.251882776 0.493652434 0.474092599 #> [951] 1.193691666 0.116395472 0.524858556 0.214421481 0.134449535 #> [956] 0.168509103 0.964732770 0.408778914 0.466438215 2.239782976 #> [961] 0.795063185 0.019955117 2.514425122 2.210952032 1.488762230 #> [966] 1.160751876 1.457738225 2.189875949 0.739062681 0.344008769 #> [971] 0.455876742 0.878110263 0.958463923 0.705844846 2.996949303 #> [976] 0.961052324 0.380188254 0.505067590 2.027056004 0.064627029 #> [981] 0.463658648 0.074778333 0.486836236 0.748910821 0.464234581 #> [986] 0.129420458 0.815460652 0.040150452 0.781416978 0.676452747 #> [991] 0.482652526 0.669113468 0.512801322 1.048909929 0.121058163 #> [996] 0.313292885 0.880670730 0.419286891 1.482751678 0.697318199 #> [1001] -3.132269054 -0.918216621 -4.178143062 -7.976404011 -1.647538859 #> [1006] -4.102341921 -2.437145262 -3.691623526 -2.878906758 -1.526941936 #> [1011] -7.558905842 -1.949216182 -3.106202903 -11.073499436 -5.624654591 #> [1016] -0.224668045 -0.080951315 -4.719181053 -4.106105975 -2.969506606 #> [1021] -4.594886858 -3.910681504 -0.372824917 -9.946758479 -3.099128739 #> [1026] -0.280643698 -0.778977534 -7.353761919 -2.390750276 -2.089707801 #> [1031] -6.793397758 -0.513938637 -1.938358058 -0.269025203 -6.885297784 #> [1036] -2.074972816 -1.971449769 -0.296566984 -5.500126860 -3.815878742 #> [1041] -0.822617981 -1.266808401 -3.484816877 -2.783315993 -3.443778473 #> [1046] -3.537475785 -1.822909811 -3.842664623 -0.561731061 -4.405538632 #> [1051] -0.398105880 -0.612026393 -0.341119691 -1.129363096 -1.433023702 #> [1056] -1.980399899 -0.367221476 -1.044134626 -0.569719627 -0.135054604 #> [1061] -2.401617761 -0.039240003 -0.689739362 -0.028002159 -0.743273209 #> [1066] -0.188792300 -1.804958629 -1.465554862 -0.153253338 -2.172611670 #> [1071] -0.475509529 -0.709946431 -0.610726353 -0.934097632 -1.253633400 #> [1076] 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-0.866436147 -0.235175025 -0.933970133 #> [1946] -0.813252167 -1.348318555 -2.251882776 -0.493652434 -0.474092599 #> [1951] -1.193691666 -0.116395472 -0.524858556 -0.214421481 -0.134449535 #> [1956] -0.168509103 -0.964732770 -0.408778914 -0.466438215 -2.239782976 #> [1961] -0.795063185 -0.019955117 -2.514425122 -2.210952032 -1.488762230 #> [1966] -1.160751876 -1.457738225 -2.189875949 -0.739062681 -0.344008769 #> [1971] -0.455876742 -0.878110263 -0.958463923 -0.705844846 -2.996949303 #> [1976] -0.961052324 -0.380188254 -0.505067590 -2.027056004 -0.064627029 #> [1981] -0.463658648 -0.074778333 -0.486836236 -0.748910821 -0.464234581 #> [1986] -0.129420458 -0.815460652 -0.040150452 -0.781416978 -0.676452747 #> [1991] -0.482652526 -0.669113468 -0.512801322 -1.048909929 -0.121058163 #> [1996] -0.313292885 -0.880670730 -0.419286891 -1.482751678 -0.697318199 #> #> $bre #> [1] 0.02036913 0.06110739 0.10184564 0.14258390 0.18332216 #> [6] 0.22406041 0.26479867 0.30553693 0.34627518 0.38701344 #> [11] 0.42775170 0.46848996 0.50922821 0.54996647 0.59070473 #> [16] 0.63144298 0.67218124 0.71291950 0.75365775 0.79439601 #> [21] 0.83513427 0.87587253 0.91661078 0.95734904 0.99808730 #> [26] 1.03882555 1.07956381 1.12030207 1.16104032 1.20177858 #> [31] 1.24251684 1.28325510 1.32399335 1.36473161 1.40546987 #> [36] 1.44620812 1.48694638 1.52768464 1.56842289 1.60916115 #> [41] 1.64989941 1.69063767 1.73137592 1.77211418 1.81285244 #> [46] 1.85359069 1.89432895 1.93506721 1.97580546 2.01654372 #> [51] 2.05728198 2.09802024 2.13875849 2.17949675 2.22023501 #> [56] 2.26097326 2.30171152 2.34244978 2.38318803 2.42392629 #> [61] 2.46466455 2.50540281 2.54614106 2.58687932 2.62761758 #> [66] 2.66835583 2.70909409 2.74983235 2.79057060 2.83130886 #> [71] 2.87204712 2.91278538 2.95352363 2.99426189 3.03500015 #> [76] 3.07573840 3.11647666 3.15721492 3.19795317 3.23869143 #> [81] 3.27942969 3.32016795 3.36090620 3.40164446 3.44238272 #> [86] 3.48312097 3.52385923 3.56459749 3.60533574 3.64607400 #> [91] 3.68681226 3.72755052 3.76828877 3.80902703 3.84976529 #> [96] 3.89050354 3.93124180 3.97198006 4.01271831 4.05345657 #> [101] 4.09419483 4.13493309 4.17567134 4.21640960 4.25714786 #> [106] 4.29788611 4.33862437 4.37936263 4.42010088 4.46083914 #> [111] 4.50157740 4.54231566 4.58305391 4.62379217 4.66453043 #> [116] 4.70526868 4.74600694 4.78674520 4.82748346 4.86822171 #> [121] 4.90895997 4.94969823 4.99043648 5.03117474 5.07191300 #> [126] 5.11265125 5.15338951 5.19412777 5.23486603 5.27560428 #> [131] 5.31634254 5.35708080 5.39781905 5.43855731 5.47929557 #> [136] 5.52003382 5.56077208 5.60151034 5.64224860 5.68298685 #> [141] 5.72372511 5.76446337 5.80520162 5.84593988 5.88667814 #> [146] 5.92741639 5.96815465 6.00889291 6.04963117 6.09036942 #> [151] 6.13110768 6.17184594 6.21258419 6.25332245 6.29406071 #> [156] 6.33479896 6.37553722 6.41627548 6.45701374 6.49775199 #> [161] 6.53849025 6.57922851 6.61996676 6.66070502 6.70144328 #> [166] 6.74218153 6.78291979 6.82365805 6.86439631 6.90513456 #> [171] 6.94587282 6.98661108 7.02734933 7.06808759 7.10882585 #> [176] 7.14956410 7.19030236 7.23104062 7.27177888 7.31251713 #> [181] 7.35325539 7.39399365 7.43473190 7.47547016 7.51620842 #> [186] 7.55694667 7.59768493 7.63842319 7.67916145 7.71989970 #> [191] 7.76063796 7.80137622 7.84211447 7.88285273 7.92359099 #> [196] 7.96432924 8.00506750 8.04580576 8.08654402 8.12728227 #> [201] 8.16802053 8.20875879 8.24949704 8.29023530 8.33097356 #> [206] 8.37171181 8.41245007 8.45318833 8.49392659 8.53466484 #> [211] 8.57540310 8.61614136 8.65687961 8.69761787 8.73835613 #> [216] 8.77909438 8.81983264 8.86057090 8.90130916 8.94204741 #> [221] 8.98278567 9.02352393 9.06426218 9.10500044 9.14573870 #> [226] 9.18647695 9.22721521 9.26795347 9.30869173 9.34942998 #> [231] 9.39016824 9.43090650 9.47164475 9.51238301 9.55312127 #> [236] 9.59385952 9.63459778 9.67533604 9.71607430 9.75681255 #> [241] 9.79755081 9.83828907 9.87902732 9.91976558 9.96050384 #> [246] 10.00124209 10.04198035 10.08271861 10.12345687 10.16419512 #> [251] 10.20493338 10.24567164 10.28640989 10.32714815 10.36788641 #> [256] 10.40862466 10.44936292 10.49010118 10.53083944 10.57157769 #> [261] 10.61231595 10.65305421 10.69379246 10.73453072 10.77526898 #> [266] 10.81600723 10.85674549 10.89748375 10.93822201 10.97896026 #> [271] 11.01969852 11.06043678 11.10117503 11.14191329 11.18265155 #> [276] 11.22338980 11.26412806 11.30486632 11.34560458 11.38634283 #> [281] 11.42708109 11.46781935 11.50855760 11.54929586 11.59003412 #> [286] 11.63077237 11.67151063 11.71224889 11.75298715 11.79372540 #> [291] 11.83446366 11.87520192 11.91594017 11.95667843 11.99741669 #> [296] 12.03815494 12.07889320 12.11963146 12.16036972 12.20110797 #> [301] -0.02036913 -0.06110739 -0.10184564 -0.14258390 -0.18332216 #> [306] -0.22406041 -0.26479867 -0.30553693 -0.34627518 -0.38701344 #> [311] -0.42775170 -0.46848996 -0.50922821 -0.54996647 -0.59070473 #> [316] -0.63144298 -0.67218124 -0.71291950 -0.75365775 -0.79439601 #> [321] -0.83513427 -0.87587253 -0.91661078 -0.95734904 -0.99808730 #> [326] -1.03882555 -1.07956381 -1.12030207 -1.16104032 -1.20177858 #> [331] -1.24251684 -1.28325510 -1.32399335 -1.36473161 -1.40546987 #> [336] -1.44620812 -1.48694638 -1.52768464 -1.56842289 -1.60916115 #> [341] -1.64989941 -1.69063767 -1.73137592 -1.77211418 -1.81285244 #> [346] -1.85359069 -1.89432895 -1.93506721 -1.97580546 -2.01654372 #> [351] -2.05728198 -2.09802024 -2.13875849 -2.17949675 -2.22023501 #> [356] -2.26097326 -2.30171152 -2.34244978 -2.38318803 -2.42392629 #> [361] -2.46466455 -2.50540281 -2.54614106 -2.58687932 -2.62761758 #> [366] -2.66835583 -2.70909409 -2.74983235 -2.79057060 -2.83130886 #> [371] -2.87204712 -2.91278538 -2.95352363 -2.99426189 -3.03500015 #> [376] -3.07573840 -3.11647666 -3.15721492 -3.19795317 -3.23869143 #> [381] -3.27942969 -3.32016795 -3.36090620 -3.40164446 -3.44238272 #> [386] -3.48312097 -3.52385923 -3.56459749 -3.60533574 -3.64607400 #> [391] -3.68681226 -3.72755052 -3.76828877 -3.80902703 -3.84976529 #> [396] -3.89050354 -3.93124180 -3.97198006 -4.01271831 -4.05345657 #> [401] -4.09419483 -4.13493309 -4.17567134 -4.21640960 -4.25714786 #> [406] -4.29788611 -4.33862437 -4.37936263 -4.42010088 -4.46083914 #> [411] -4.50157740 -4.54231566 -4.58305391 -4.62379217 -4.66453043 #> [416] -4.70526868 -4.74600694 -4.78674520 -4.82748346 -4.86822171 #> [421] -4.90895997 -4.94969823 -4.99043648 -5.03117474 -5.07191300 #> [426] -5.11265125 -5.15338951 -5.19412777 -5.23486603 -5.27560428 #> [431] -5.31634254 -5.35708080 -5.39781905 -5.43855731 -5.47929557 #> [436] -5.52003382 -5.56077208 -5.60151034 -5.64224860 -5.68298685 #> [441] -5.72372511 -5.76446337 -5.80520162 -5.84593988 -5.88667814 #> [446] -5.92741639 -5.96815465 -6.00889291 -6.04963117 -6.09036942 #> [451] -6.13110768 -6.17184594 -6.21258419 -6.25332245 -6.29406071 #> [456] -6.33479896 -6.37553722 -6.41627548 -6.45701374 -6.49775199 #> [461] -6.53849025 -6.57922851 -6.61996676 -6.66070502 -6.70144328 #> [466] -6.74218153 -6.78291979 -6.82365805 -6.86439631 -6.90513456 #> [471] -6.94587282 -6.98661108 -7.02734933 -7.06808759 -7.10882585 #> [476] -7.14956410 -7.19030236 -7.23104062 -7.27177888 -7.31251713 #> [481] -7.35325539 -7.39399365 -7.43473190 -7.47547016 -7.51620842 #> [486] -7.55694667 -7.59768493 -7.63842319 -7.67916145 -7.71989970 #> [491] -7.76063796 -7.80137622 -7.84211447 -7.88285273 -7.92359099 #> [496] -7.96432924 -8.00506750 -8.04580576 -8.08654402 -8.12728227 #> [501] -8.16802053 -8.20875879 -8.24949704 -8.29023530 -8.33097356 #> [506] -8.37171181 -8.41245007 -8.45318833 -8.49392659 -8.53466484 #> [511] -8.57540310 -8.61614136 -8.65687961 -8.69761787 -8.73835613 #> [516] -8.77909438 -8.81983264 -8.86057090 -8.90130916 -8.94204741 #> [521] -8.98278567 -9.02352393 -9.06426218 -9.10500044 -9.14573870 #> [526] -9.18647695 -9.22721521 -9.26795347 -9.30869173 -9.34942998 #> [531] -9.39016824 -9.43090650 -9.47164475 -9.51238301 -9.55312127 #> [536] -9.59385952 -9.63459778 -9.67533604 -9.71607430 -9.75681255 #> [541] -9.79755081 -9.83828907 -9.87902732 -9.91976558 -9.96050384 #> [546] -10.00124209 -10.04198035 -10.08271861 -10.12345687 -10.16419512 #> [551] -10.20493338 -10.24567164 -10.28640989 -10.32714815 -10.36788641 #> [556] -10.40862466 -10.44936292 -10.49010118 -10.53083944 -10.57157769 #> [561] -10.61231595 -10.65305421 -10.69379246 -10.73453072 -10.77526898 #> [566] -10.81600723 -10.85674549 -10.89748375 -10.93822201 -10.97896026 #> [571] -11.01969852 -11.06043678 -11.10117503 -11.14191329 -11.18265155 #> [576] -11.22338980 -11.26412806 -11.30486632 -11.34560458 -11.38634283 #> [581] -11.42708109 -11.46781935 -11.50855760 -11.54929586 -11.59003412 #> [586] -11.63077237 -11.67151063 -11.71224889 -11.75298715 -11.79372540 #> [591] -11.83446366 -11.87520192 -11.91594017 -11.95667843 -11.99741669 #> [596] -12.03815494 -12.07889320 -12.11963146 -12.16036972 -12.20110797 #> #> $mlests #> [1] 5.180922e-19 1.850448e+00 #>