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"myplotDD" is a revised version of ".myddplot" in "plot-utils.R" in the package "rrcov". In "myplotDD", id.n and ind are printed out.

Usage

myplotDD(x, cutoff, id.n)

Arguments

x

An S4 object of class "CovRobust".

cutoff

The cutoff value used. If missing, cutoff <- sqrt(qchisq(0.975, p)) by default.

id.n

Number of observations to identify by a label. If not supplied, the number of observations with robust distance larger than cutoff is used.

Details

Distance-Distance Plot: Plot the vector y=rd (robust distances) against x=md (mahalanobis distances). Identify by a label the id.n observations with largest rd. If id.n is not supplied, calculate it as the number of observations larger than cutoff. Use cutoff to draw a horisontal and a vertical line. Draw also a dotted line with a slope 1.

"myplotDD(x)" is equivalent to "plot(x, which="dd")". which: indicate what kind of plot. If which = "dd", then a distance-distance Plot.

Value

A distance-distance plot is shown. Return a list with components:

cutoff

The cutoff value used. If missing, cutoff <- sqrt(qchisq(0.975, p)) by default.

id.n

Number of observations to identify by a label. If not supplied, the number of observations with robust distance larger than cutoff is used.

sort.y

A list containing the sorted values of y (the robust distance)

ind

The indices of the largest id.n observations whose robust distances are larger than cutoff.

References

Zhang, Y. Y. (2013), An Object Oriented Solution for Robust Factor Analysis.

Author

Ying-Ying Zhang (Robert) robertzhangyying@qq.com

See also

Examples


data(stock611)
covMcd=CovRobust(x=scale(stock611[,3:12]), control="mcd"); covMcd
#> 
#> Call:
#> CovMcd(x = x, control = obj)
#> -> Method:  Fast MCD(alpha=0.5 ==> h=311); nsamp = 500; (n,k)mini = (300,5) 
#> 
#> Robust Estimate of Location: 
#>        x1         x2         x3         x4         x5         x6         x7  
#> -0.100305  -0.099197  -0.109151  -0.117823  -0.034460  -0.022524  -0.001954  
#>        x8         x9        x10  
#>  0.088715  -0.123381  -0.097827  
#> 
#> Robust Estimate of Covariance: 
#>      x1          x2          x3          x4          x5          x6        
#> x1    0.0006870   0.0004843   0.0003746   0.0004386   0.0020115   0.0011913
#> x2    0.0004843   0.0006057   0.0005563   0.0006668   0.0045774   0.0040799
#> x3    0.0003746   0.0005563   0.0009995   0.0012393   0.0103937   0.0080900
#> x4    0.0004386   0.0006668   0.0012393   0.0016002   0.0133930   0.0103251
#> x5    0.0020115   0.0045774   0.0103937   0.0133930   0.2261392   0.2434156
#> x6    0.0011913   0.0040799   0.0080900   0.0103251   0.2434156   0.6647104
#> x7    0.0004422   0.0009507   0.0022458   0.0028955   0.0388425   0.0026482
#> x8    0.0003887   0.0026970   0.0085307   0.0110476   0.1515287   0.0779505
#> x9    0.0004486   0.0004945   0.0005604   0.0007100   0.0020213   0.0050830
#> x10   0.0002886   0.0003164   0.0004274   0.0005481  -0.0017584  -0.0043813
#>      x7          x8          x9          x10       
#> x1    0.0004422   0.0003887   0.0004486   0.0002886
#> x2    0.0009507   0.0026970   0.0004945   0.0003164
#> x3    0.0022458   0.0085307   0.0005604   0.0004274
#> x4    0.0028955   0.0110476   0.0007100   0.0005481
#> x5    0.0388425   0.1515287   0.0020213  -0.0017584
#> x6    0.0026482   0.0779505   0.0050830  -0.0043813
#> x7    0.0120836   0.0382220   0.0001502   0.0001174
#> x8    0.0382220   0.1594316  -0.0005742   0.0004744
#> x9    0.0001502  -0.0005742   0.0008330   0.0005548
#> x10   0.0001174   0.0004744   0.0005548   0.0006717

## "myplotDD" shows id.n and ind.
## Note: id.n and ind change each time due to covMcd changes each time!
## However, the ind of largest robust distances do not change.
result = myplotDD(x=covMcd); result
#> cutoff =
#> [1] 4.525834
#> id.n <- length(which(rd>cutoff))
#> id.n = 323 

#> Here y is the robust distance (rd).
#> sort.y =
#> $x
#>          281          239          368          349          229          255 
#>    0.8161451    0.8168542    1.1132229    1.1203804    1.1356735    1.1491688 
#>          312          405          244          280          298          347 
#>    1.1574960    1.1653674    1.1763669    1.2006602    1.2601920    1.3023756 
#>          191          177          242          316          416          403 
#>    1.3329542    1.3340757    1.3544534    1.3560426    1.3791194    1.3849014 
#>          249          317          411          470          487          369 
#>    1.3946665    1.4044566    1.4134824    1.4295142    1.4371826    1.4469178 
#>          123          334          179          390          296          250 
#>    1.4522740    1.4730849    1.4821016    1.4900968    1.5025408    1.5059953 
#>          224          159          367          147          208          304 
#>    1.5109672    1.5352765    1.5441181    1.5715818    1.5796249    1.6041160 
#>          265          385          247          142          186          294 
#>    1.6131330    1.6351666    1.6595610    1.6630001    1.6769590    1.7018227 
#>          201          212           91          118          223          434 
#>    1.7478851    1.7515799    1.7650573    1.7721362    1.7962712    1.8149722 
#>          414          342          109          310          178          248 
#>    1.8276269    1.8386912    1.8402164    1.8569845    1.8590281    1.8679676 
#>          421          279          157          292          450          363 
#>    1.8698385    1.8759308    1.8759932    1.8791779    1.8799542    1.8887600 
#>          215          218          427          167          455          335 
#>    1.9138684    1.9524352    1.9531439    1.9554145    1.9556148    1.9557500 
#>          200          400          499          388          461          359 
#>    1.9689790    1.9847313    1.9893598    1.9896113    1.9903146    1.9905606 
#>          219          137          183          286          146          256 
#>    1.9972506    2.0142447    2.0209662    2.0225724    2.0322388    2.0732249 
#>          291          380          270          257          196          116 
#>    2.0782650    2.0956385    2.1280757    2.1303136    2.1591059    2.1653343 
#>          126          433          172          438          234          464 
#>    2.2183535    2.2224465    2.2228955    2.2385826    2.2394329    2.2459896 
#>          227          393          268          361          181          327 
#>    2.2648385    2.2715668    2.2754173    2.2786473    2.2960339    2.3057917 
#>          258          170          432          185          445          135 
#>    2.3110776    2.3312069    2.3383500    2.3392678    2.3476025    2.3564436 
#>          511          267          480          439          231          106 
#>    2.3602447    2.3619566    2.3760131    2.3841119    2.3863989    2.3926579 
#>          130          402          329          241          199          396 
#>    2.3934295    2.4094368    2.4149768    2.4235228    2.4507084    2.4621034 
#>          236          348          484          315          164          443 
#>    2.4758952    2.4875618    2.4927934    2.4980819    2.5056065    2.5485504 
#>          528          446          551          301          458           88 
#>    2.5517948    2.5628857    2.5770917    2.5781462    2.5883747    2.5955014 
#>           64          235          408          497          330          128 
#>    2.6060286    2.6165464    2.6203578    2.6557768    2.6606311    2.6815767 
#>          325          318          112          440          209          425 
#>    2.6895941    2.6946267    2.7178528    2.7318558    2.7325465    2.7442411 
#>          274          189          423          210          521           89 
#>    2.7487499    2.7507897    2.7614360    2.7655226    2.7720470    2.7840984 
#>          119          530          101           86          115          431 
#>    2.7970127    2.8051901    2.8091464    2.8102548    2.8193093    2.8195346 
#>          456          441          168          358          404          515 
#>    2.8216620    2.8276258    2.8303525    2.8327165    2.8365455    2.8495270 
#>          465          364           50          262          336          180 
#>    2.8624170    2.8695680    2.8712972    2.8814472    2.8831069    2.9071770 
#>          152          386          460          246           95          536 
#>    2.9142177    2.9276343    2.9290382    2.9319545    2.9404121    2.9439606 
#>          550          453          232          534           55           77 
#>    2.9625700    2.9708370    2.9724164    2.9802374    2.9884628    2.9944843 
#>           98          125           58          512          556          535 
#>    3.0000827    3.0100161    3.0179699    3.0180000    3.0195011    3.0261053 
#>          509           68          207          545          299          422 
#>    3.0424067    3.0439223    3.0469755    3.0529910    3.0578932    3.0718785 
#>          376          389          477          263          360          228 
#>    3.0751658    3.0780356    3.0935362    3.1046620    3.1092000    3.1218883 
#>          121          251          120          171          204          282 
#>    3.1360256    3.1410618    3.1445636    3.1510208    3.1828950    3.1866522 
#>          500           45          353          195          516           71 
#>    3.1897314    3.2117362    3.2129050    3.2233828    3.2281752    3.2301763 
#>          362          457           90          161          162          412 
#>    3.2340808    3.2347541    3.2401261    3.2426576    3.2449420    3.2476884 
#>          381           67          501          259          537          488 
#>    3.2765117    3.2924001    3.2949565    3.3011322    3.3157690    3.3183173 
#>          134           52          127          410          155          217 
#>    3.3239343    3.3410402    3.3626767    3.3799423    3.4067824    3.4111732 
#>          158           60           99          474          520          560 
#>    3.4148045    3.4186511    3.4192588    3.4392243    3.4515758    3.4828280 
#>          485          529          151          505          383          430 
#>    3.4928343    3.5285860    3.5499333    3.5625072    3.5879072    3.6274074 
#>          392          211          311           76          328          355 
#>    3.6299493    3.6373524    3.6525978    3.6544779    3.6673596    3.6673983 
#>          496          149          197           80          264          221 
#>    3.6751392    3.6775680    3.6909194    3.6916533    3.7265841    3.7377329 
#>          331          111          240          143          277          324 
#>    3.7543108    3.7687540    3.7791385    3.7821257    3.7822950    3.8059099 
#>          426           78           85          154          473          533 
#>    3.8161077    3.8178135    3.8498926    3.9348001    3.9576560    3.9593784 
#>          475          300          491          447          297          269 
#>    3.9821413    4.0060243    4.0249919    4.0342095    4.0353130    4.0771242 
#>          375          165          522          564          508          284 
#>    4.0885647    4.0933726    4.1324370    4.1344589    4.1854405    4.1999198 
#>          507          525          514          313          373          323 
#>    4.2049098    4.2506536    4.2562117    4.2568637    4.2710163    4.2899900 
#>          352          573          319          494          468          483 
#>    4.3041328    4.3174535    4.3396676    4.3527926    4.3695336    4.3702223 
#>          238          452          498          306          482           43 
#>    4.4079116    4.4301902    4.4595716    4.5039747    4.5065160    4.5196728 
#>          131           54          233          476          283          214 
#>    4.5280662    4.5476587    4.5650696    4.5662490    4.5767108    4.6263638 
#>          397           47          559          543           48          136 
#>    4.6275434    4.6299790    4.6492832    4.6579229    4.6686984    4.6997477 
#>          326          587          333          275          527          252 
#>    4.7055377    4.7233618    4.7890526    4.7904825    4.8675628    4.8708619 
#>          428          577          398           93           69          245 
#>    4.8719904    4.8786666    4.8815832    4.8894647    4.9069048    4.9201046 
#>          466          469          202          110          243          436 
#>    4.9599957    4.9827353    4.9910941    5.0130631    5.0591186    5.1619816 
#>          308           65          271          370          510          205 
#>    5.4240311    5.4280214    5.4333218    5.4340825    5.5508044    5.5730594 
#>          451          122           62          107          290          517 
#>    5.5956406    5.7313594    5.7331566    5.8015230    5.8020355    5.8139035 
#>          596          601          302          395           51          582 
#>    5.8146913    5.8231112    5.8379041    5.8845985    5.8856281    5.8957989 
#>          435          555          305          100          597          222 
#>    5.9841103    5.9864954    5.9922832    6.0057460    6.0831021    6.1045941 
#>          387          493          192          591          429          565 
#>    6.1102605    6.1755612    6.2002652    6.2199141    6.2497486    6.2632223 
#>           46          203          570          266           39           29 
#>    6.3092523    6.3186814    6.3430313    6.4309067    6.5432747    6.5869366 
#>           41          420          502          261          489           30 
#>    6.5984727    6.6406568    6.6556483    6.7027502    6.7188567    6.7192792 
#>          314           36          133           73          276          289 
#>    6.7787877    6.7968232    6.8003819    6.8221638    6.8349246    6.8424714 
#>          566          374          105          382          163          406 
#>    6.8463238    6.8656189    6.9208405    6.9615853    6.9685350    6.9739343 
#>          150          148          366          547           49          417 
#>    6.9900235    7.0374754    7.0529269    7.0913312    7.0955530    7.1002204 
#>           70          462          372          481          513          278 
#>    7.1840447    7.2237782    7.2276532    7.2720656    7.3178997    7.3180027 
#>          401          139           81          273          532          132 
#>    7.3587580    7.3905997    7.4101978    7.4908789    7.4914387    7.4932033 
#>          340          391          602          194          169          549 
#>    7.5672805    7.5740729    7.6380246    7.6508905    7.6587133    7.6943225 
#>          394          585          184           33           38          350 
#>    7.7804279    7.8093725    7.8266222    7.8485470    7.9840763    7.9894658 
#>          407          173          599          524          603           34 
#>    8.0013073    8.0804195    8.1842261    8.2059380    8.2127322    8.2578135 
#>          586           96           72          141          418          357 
#>    8.4290043    8.6593863    8.6806138    8.7929339    8.8043162    9.0045293 
#>          356          454          506          590          519          144 
#>    9.0876087    9.1726522    9.2026241    9.2029591    9.2630614    9.3095459 
#>          561          293          220          124          437          102 
#>    9.3939170    9.4218312    9.4627681    9.4692895    9.5107741    9.6769722 
#>           84          198          156           22          459          187 
#>    9.7697975    9.8023199    9.8392333    9.8809454    9.9001457    9.9219830 
#>          600          538           37          225          568          419 
#>    9.9640564   10.0317575   10.0604999   10.1320244   10.2496667   10.3067576 
#>          260          518           23          523           35          578 
#>   10.3274593   10.3336759   10.6707069   10.6820001   10.6864023   10.7865029 
#>          598          384          609          254           83          354 
#>   10.8309604   11.0703125   11.0740317   11.0859389   11.2232931   11.2423189 
#>           63          322          351          495          166          486 
#>   11.3824062   11.4787293   11.5343277   11.5739327   11.6877465   11.7025948 
#>          558          607          531          503          188          448 
#>   11.7380866   12.0823749   12.2196937   12.2667424   12.3566011   12.4181210 
#>          213          190          343          174          176          449 
#>   12.4344398   12.4702945   12.6436526   12.7377713   13.0291433   13.0304671 
#>          346          554          365          399          145          253 
#>   13.1205806   13.1300467   13.2861217   13.2914138   13.5556407   13.6266583 
#>          287          478          117          182          557          103 
#>   13.8091173   13.8798256   14.0127542   14.3801032   14.4300262   14.4540126 
#>           61          442          463          415           31          104 
#>   14.4776074   14.5418342   14.5865305   14.6343822   14.6598323   14.6902586 
#>           97          371          563          332           40          378 
#>   14.7163059   14.8517275   14.8589761   14.8662667   14.9580006   14.9588322 
#>          467          567          610          574          579          140 
#>   15.0521949   15.1337653   15.1656110   15.2863891   15.3232190   15.3245887 
#>          608          409          341          320          552          108 
#>   15.3843728   15.5624661   16.0868948   16.1748446   16.5248674   16.6831253 
#>          575           53          479           26          295          546 
#>   16.7926244   17.0282379   17.0777821   17.3178217   17.3201083   17.8621636 
#>           28          606          339          288          471           94 
#>   17.9659540   18.2969657   18.6194236   18.6312026   19.0265069   19.5047713 
#>           21          160          377          526          548          584 
#>   19.5744433   19.5938812   19.7565435   19.7651808   19.8381319   19.8444368 
#>          611           42          272           18           32           92 
#>   20.1648243   20.2050401   20.3060646   20.4215224   20.4995294   20.5059840 
#>           87          321          226          153           20          544 
#>   21.4680949   21.4801298   21.6379355   22.0140726   22.3150119   22.7606612 
#>          138           44           13           66          309           14 
#>   22.9561866   24.1992975   24.3997159   24.4303132   24.9092411   25.0682571 
#>          345           19          344           11            9           16 
#>   25.1793566   25.2387833   25.3786873   25.4256426   25.6327114   25.8141871 
#>           24           57          206          175            7            4 
#>   25.8886725   25.9649701   25.9986545   26.1131099   26.2358400   26.2437604 
#>          303          193           25          592          413          595 
#>   26.5302411   26.9986072   27.1834831   27.2244553   27.2811683   28.4282150 
#>          605          604          504          216            1          472 
#>   28.4661168   29.9155262   30.6250935   33.0064593   33.0380316   33.6605528 
#>          230           15          553          307            3           17 
#>   35.3187661   36.1458776   37.2086270   38.4504340   38.7136071   39.2079644 
#>          588          114          580            6           10           27 
#>   39.2756302   40.2970251   41.6859966   42.7018595   43.2771970   43.5211847 
#>           56            5          562          541          594          583 
#>   44.9714326   45.4723015   45.7158089   46.0138403   46.6167656   48.7218319 
#>          492          490          424          540          285          542 
#>   51.1433029   51.2754011   53.8682803   58.3083280   61.9555735   62.3247064 
#>          593          581          572          569           75          444 
#>   63.7252224   65.6959563   68.4994321   77.2995846   77.4229282   79.2220008 
#>           82          129          237          576          589           12 
#>   79.3491495   79.4364695   80.0685127   95.6377472  100.4276516  112.1478806 
#>          571           74            2          113            8           59 
#>  114.6337367  126.0423383  132.9674421  137.3006084  152.9188721  170.1666145 
#>          379          539          337           79          338 
#>  203.8118911  355.3490677  685.7137477 1154.7172495 1459.1762078 
#> 
#> $ix
#>   [1] 281 239 368 349 229 255 312 405 244 280 298 347 191 177 242 316 416 403
#>  [19] 249 317 411 470 487 369 123 334 179 390 296 250 224 159 367 147 208 304
#>  [37] 265 385 247 142 186 294 201 212  91 118 223 434 414 342 109 310 178 248
#>  [55] 421 279 157 292 450 363 215 218 427 167 455 335 200 400 499 388 461 359
#>  [73] 219 137 183 286 146 256 291 380 270 257 196 116 126 433 172 438 234 464
#>  [91] 227 393 268 361 181 327 258 170 432 185 445 135 511 267 480 439 231 106
#> [109] 130 402 329 241 199 396 236 348 484 315 164 443 528 446 551 301 458  88
#> [127]  64 235 408 497 330 128 325 318 112 440 209 425 274 189 423 210 521  89
#> [145] 119 530 101  86 115 431 456 441 168 358 404 515 465 364  50 262 336 180
#> [163] 152 386 460 246  95 536 550 453 232 534  55  77  98 125  58 512 556 535
#> [181] 509  68 207 545 299 422 376 389 477 263 360 228 121 251 120 171 204 282
#> [199] 500  45 353 195 516  71 362 457  90 161 162 412 381  67 501 259 537 488
#> [217] 134  52 127 410 155 217 158  60  99 474 520 560 485 529 151 505 383 430
#> [235] 392 211 311  76 328 355 496 149 197  80 264 221 331 111 240 143 277 324
#> [253] 426  78  85 154 473 533 475 300 491 447 297 269 375 165 522 564 508 284
#> [271] 507 525 514 313 373 323 352 573 319 494 468 483 238 452 498 306 482  43
#> [289] 131  54 233 476 283 214 397  47 559 543  48 136 326 587 333 275 527 252
#> [307] 428 577 398  93  69 245 466 469 202 110 243 436 308  65 271 370 510 205
#> [325] 451 122  62 107 290 517 596 601 302 395  51 582 435 555 305 100 597 222
#> [343] 387 493 192 591 429 565  46 203 570 266  39  29  41 420 502 261 489  30
#> [361] 314  36 133  73 276 289 566 374 105 382 163 406 150 148 366 547  49 417
#> [379]  70 462 372 481 513 278 401 139  81 273 532 132 340 391 602 194 169 549
#> [397] 394 585 184  33  38 350 407 173 599 524 603  34 586  96  72 141 418 357
#> [415] 356 454 506 590 519 144 561 293 220 124 437 102  84 198 156  22 459 187
#> [433] 600 538  37 225 568 419 260 518  23 523  35 578 598 384 609 254  83 354
#> [451]  63 322 351 495 166 486 558 607 531 503 188 448 213 190 343 174 176 449
#> [469] 346 554 365 399 145 253 287 478 117 182 557 103  61 442 463 415  31 104
#> [487]  97 371 563 332  40 378 467 567 610 574 579 140 608 409 341 320 552 108
#> [505] 575  53 479  26 295 546  28 606 339 288 471  94  21 160 377 526 548 584
#> [523] 611  42 272  18  32  92  87 321 226 153  20 544 138  44  13  66 309  14
#> [541] 345  19 344  11   9  16  24  57 206 175   7   4 303 193  25 592 413 595
#> [559] 605 604 504 216   1 472 230  15 553 307   3  17 588 114 580   6  10  27
#> [577]  56   5 562 541 594 583 492 490 424 540 285 542 593 581 572 569  75 444
#> [595]  82 129 237 576 589  12 571  74   2 113   8  59 379 539 337  79 338
#> 
#> ind =
#>   [1] 131  54 233 476 283 214 397  47 559 543  48 136 326 587 333 275 527 252
#>  [19] 428 577 398  93  69 245 466 469 202 110 243 436 308  65 271 370 510 205
#>  [37] 451 122  62 107 290 517 596 601 302 395  51 582 435 555 305 100 597 222
#>  [55] 387 493 192 591 429 565  46 203 570 266  39  29  41 420 502 261 489  30
#>  [73] 314  36 133  73 276 289 566 374 105 382 163 406 150 148 366 547  49 417
#>  [91]  70 462 372 481 513 278 401 139  81 273 532 132 340 391 602 194 169 549
#> [109] 394 585 184  33  38 350 407 173 599 524 603  34 586  96  72 141 418 357
#> [127] 356 454 506 590 519 144 561 293 220 124 437 102  84 198 156  22 459 187
#> [145] 600 538  37 225 568 419 260 518  23 523  35 578 598 384 609 254  83 354
#> [163]  63 322 351 495 166 486 558 607 531 503 188 448 213 190 343 174 176 449
#> [181] 346 554 365 399 145 253 287 478 117 182 557 103  61 442 463 415  31 104
#> [199]  97 371 563 332  40 378 467 567 610 574 579 140 608 409 341 320 552 108
#> [217] 575  53 479  26 295 546  28 606 339 288 471  94  21 160 377 526 548 584
#> [235] 611  42 272  18  32  92  87 321 226 153  20 544 138  44  13  66 309  14
#> [253] 345  19 344  11   9  16  24  57 206 175   7   4 303 193  25 592 413 595
#> [271] 605 604 504 216   1 472 230  15 553 307   3  17 588 114 580   6  10  27
#> [289]  56   5 562 541 594 583 492 490 424 540 285 542 593 581 572 569  75 444
#> [307]  82 129 237 576 589  12 571  74   2 113   8  59 379 539 337  79 338
#> $cutoff
#> [1] 4.525834
#> 
#> $id.n
#> [1] 323
#> 
#> $sort.y
#> $sort.y$x
#>          281          239          368          349          229          255 
#>    0.8161451    0.8168542    1.1132229    1.1203804    1.1356735    1.1491688 
#>          312          405          244          280          298          347 
#>    1.1574960    1.1653674    1.1763669    1.2006602    1.2601920    1.3023756 
#>          191          177          242          316          416          403 
#>    1.3329542    1.3340757    1.3544534    1.3560426    1.3791194    1.3849014 
#>          249          317          411          470          487          369 
#>    1.3946665    1.4044566    1.4134824    1.4295142    1.4371826    1.4469178 
#>          123          334          179          390          296          250 
#>    1.4522740    1.4730849    1.4821016    1.4900968    1.5025408    1.5059953 
#>          224          159          367          147          208          304 
#>    1.5109672    1.5352765    1.5441181    1.5715818    1.5796249    1.6041160 
#>          265          385          247          142          186          294 
#>    1.6131330    1.6351666    1.6595610    1.6630001    1.6769590    1.7018227 
#>          201          212           91          118          223          434 
#>    1.7478851    1.7515799    1.7650573    1.7721362    1.7962712    1.8149722 
#>          414          342          109          310          178          248 
#>    1.8276269    1.8386912    1.8402164    1.8569845    1.8590281    1.8679676 
#>          421          279          157          292          450          363 
#>    1.8698385    1.8759308    1.8759932    1.8791779    1.8799542    1.8887600 
#>          215          218          427          167          455          335 
#>    1.9138684    1.9524352    1.9531439    1.9554145    1.9556148    1.9557500 
#>          200          400          499          388          461          359 
#>    1.9689790    1.9847313    1.9893598    1.9896113    1.9903146    1.9905606 
#>          219          137          183          286          146          256 
#>    1.9972506    2.0142447    2.0209662    2.0225724    2.0322388    2.0732249 
#>          291          380          270          257          196          116 
#>    2.0782650    2.0956385    2.1280757    2.1303136    2.1591059    2.1653343 
#>          126          433          172          438          234          464 
#>    2.2183535    2.2224465    2.2228955    2.2385826    2.2394329    2.2459896 
#>          227          393          268          361          181          327 
#>    2.2648385    2.2715668    2.2754173    2.2786473    2.2960339    2.3057917 
#>          258          170          432          185          445          135 
#>    2.3110776    2.3312069    2.3383500    2.3392678    2.3476025    2.3564436 
#>          511          267          480          439          231          106 
#>    2.3602447    2.3619566    2.3760131    2.3841119    2.3863989    2.3926579 
#>          130          402          329          241          199          396 
#>    2.3934295    2.4094368    2.4149768    2.4235228    2.4507084    2.4621034 
#>          236          348          484          315          164          443 
#>    2.4758952    2.4875618    2.4927934    2.4980819    2.5056065    2.5485504 
#>          528          446          551          301          458           88 
#>    2.5517948    2.5628857    2.5770917    2.5781462    2.5883747    2.5955014 
#>           64          235          408          497          330          128 
#>    2.6060286    2.6165464    2.6203578    2.6557768    2.6606311    2.6815767 
#>          325          318          112          440          209          425 
#>    2.6895941    2.6946267    2.7178528    2.7318558    2.7325465    2.7442411 
#>          274          189          423          210          521           89 
#>    2.7487499    2.7507897    2.7614360    2.7655226    2.7720470    2.7840984 
#>          119          530          101           86          115          431 
#>    2.7970127    2.8051901    2.8091464    2.8102548    2.8193093    2.8195346 
#>          456          441          168          358          404          515 
#>    2.8216620    2.8276258    2.8303525    2.8327165    2.8365455    2.8495270 
#>          465          364           50          262          336          180 
#>    2.8624170    2.8695680    2.8712972    2.8814472    2.8831069    2.9071770 
#>          152          386          460          246           95          536 
#>    2.9142177    2.9276343    2.9290382    2.9319545    2.9404121    2.9439606 
#>          550          453          232          534           55           77 
#>    2.9625700    2.9708370    2.9724164    2.9802374    2.9884628    2.9944843 
#>           98          125           58          512          556          535 
#>    3.0000827    3.0100161    3.0179699    3.0180000    3.0195011    3.0261053 
#>          509           68          207          545          299          422 
#>    3.0424067    3.0439223    3.0469755    3.0529910    3.0578932    3.0718785 
#>          376          389          477          263          360          228 
#>    3.0751658    3.0780356    3.0935362    3.1046620    3.1092000    3.1218883 
#>          121          251          120          171          204          282 
#>    3.1360256    3.1410618    3.1445636    3.1510208    3.1828950    3.1866522 
#>          500           45          353          195          516           71 
#>    3.1897314    3.2117362    3.2129050    3.2233828    3.2281752    3.2301763 
#>          362          457           90          161          162          412 
#>    3.2340808    3.2347541    3.2401261    3.2426576    3.2449420    3.2476884 
#>          381           67          501          259          537          488 
#>    3.2765117    3.2924001    3.2949565    3.3011322    3.3157690    3.3183173 
#>          134           52          127          410          155          217 
#>    3.3239343    3.3410402    3.3626767    3.3799423    3.4067824    3.4111732 
#>          158           60           99          474          520          560 
#>    3.4148045    3.4186511    3.4192588    3.4392243    3.4515758    3.4828280 
#>          485          529          151          505          383          430 
#>    3.4928343    3.5285860    3.5499333    3.5625072    3.5879072    3.6274074 
#>          392          211          311           76          328          355 
#>    3.6299493    3.6373524    3.6525978    3.6544779    3.6673596    3.6673983 
#>          496          149          197           80          264          221 
#>    3.6751392    3.6775680    3.6909194    3.6916533    3.7265841    3.7377329 
#>          331          111          240          143          277          324 
#>    3.7543108    3.7687540    3.7791385    3.7821257    3.7822950    3.8059099 
#>          426           78           85          154          473          533 
#>    3.8161077    3.8178135    3.8498926    3.9348001    3.9576560    3.9593784 
#>          475          300          491          447          297          269 
#>    3.9821413    4.0060243    4.0249919    4.0342095    4.0353130    4.0771242 
#>          375          165          522          564          508          284 
#>    4.0885647    4.0933726    4.1324370    4.1344589    4.1854405    4.1999198 
#>          507          525          514          313          373          323 
#>    4.2049098    4.2506536    4.2562117    4.2568637    4.2710163    4.2899900 
#>          352          573          319          494          468          483 
#>    4.3041328    4.3174535    4.3396676    4.3527926    4.3695336    4.3702223 
#>          238          452          498          306          482           43 
#>    4.4079116    4.4301902    4.4595716    4.5039747    4.5065160    4.5196728 
#>          131           54          233          476          283          214 
#>    4.5280662    4.5476587    4.5650696    4.5662490    4.5767108    4.6263638 
#>          397           47          559          543           48          136 
#>    4.6275434    4.6299790    4.6492832    4.6579229    4.6686984    4.6997477 
#>          326          587          333          275          527          252 
#>    4.7055377    4.7233618    4.7890526    4.7904825    4.8675628    4.8708619 
#>          428          577          398           93           69          245 
#>    4.8719904    4.8786666    4.8815832    4.8894647    4.9069048    4.9201046 
#>          466          469          202          110          243          436 
#>    4.9599957    4.9827353    4.9910941    5.0130631    5.0591186    5.1619816 
#>          308           65          271          370          510          205 
#>    5.4240311    5.4280214    5.4333218    5.4340825    5.5508044    5.5730594 
#>          451          122           62          107          290          517 
#>    5.5956406    5.7313594    5.7331566    5.8015230    5.8020355    5.8139035 
#>          596          601          302          395           51          582 
#>    5.8146913    5.8231112    5.8379041    5.8845985    5.8856281    5.8957989 
#>          435          555          305          100          597          222 
#>    5.9841103    5.9864954    5.9922832    6.0057460    6.0831021    6.1045941 
#>          387          493          192          591          429          565 
#>    6.1102605    6.1755612    6.2002652    6.2199141    6.2497486    6.2632223 
#>           46          203          570          266           39           29 
#>    6.3092523    6.3186814    6.3430313    6.4309067    6.5432747    6.5869366 
#>           41          420          502          261          489           30 
#>    6.5984727    6.6406568    6.6556483    6.7027502    6.7188567    6.7192792 
#>          314           36          133           73          276          289 
#>    6.7787877    6.7968232    6.8003819    6.8221638    6.8349246    6.8424714 
#>          566          374          105          382          163          406 
#>    6.8463238    6.8656189    6.9208405    6.9615853    6.9685350    6.9739343 
#>          150          148          366          547           49          417 
#>    6.9900235    7.0374754    7.0529269    7.0913312    7.0955530    7.1002204 
#>           70          462          372          481          513          278 
#>    7.1840447    7.2237782    7.2276532    7.2720656    7.3178997    7.3180027 
#>          401          139           81          273          532          132 
#>    7.3587580    7.3905997    7.4101978    7.4908789    7.4914387    7.4932033 
#>          340          391          602          194          169          549 
#>    7.5672805    7.5740729    7.6380246    7.6508905    7.6587133    7.6943225 
#>          394          585          184           33           38          350 
#>    7.7804279    7.8093725    7.8266222    7.8485470    7.9840763    7.9894658 
#>          407          173          599          524          603           34 
#>    8.0013073    8.0804195    8.1842261    8.2059380    8.2127322    8.2578135 
#>          586           96           72          141          418          357 
#>    8.4290043    8.6593863    8.6806138    8.7929339    8.8043162    9.0045293 
#>          356          454          506          590          519          144 
#>    9.0876087    9.1726522    9.2026241    9.2029591    9.2630614    9.3095459 
#>          561          293          220          124          437          102 
#>    9.3939170    9.4218312    9.4627681    9.4692895    9.5107741    9.6769722 
#>           84          198          156           22          459          187 
#>    9.7697975    9.8023199    9.8392333    9.8809454    9.9001457    9.9219830 
#>          600          538           37          225          568          419 
#>    9.9640564   10.0317575   10.0604999   10.1320244   10.2496667   10.3067576 
#>          260          518           23          523           35          578 
#>   10.3274593   10.3336759   10.6707069   10.6820001   10.6864023   10.7865029 
#>          598          384          609          254           83          354 
#>   10.8309604   11.0703125   11.0740317   11.0859389   11.2232931   11.2423189 
#>           63          322          351          495          166          486 
#>   11.3824062   11.4787293   11.5343277   11.5739327   11.6877465   11.7025948 
#>          558          607          531          503          188          448 
#>   11.7380866   12.0823749   12.2196937   12.2667424   12.3566011   12.4181210 
#>          213          190          343          174          176          449 
#>   12.4344398   12.4702945   12.6436526   12.7377713   13.0291433   13.0304671 
#>          346          554          365          399          145          253 
#>   13.1205806   13.1300467   13.2861217   13.2914138   13.5556407   13.6266583 
#>          287          478          117          182          557          103 
#>   13.8091173   13.8798256   14.0127542   14.3801032   14.4300262   14.4540126 
#>           61          442          463          415           31          104 
#>   14.4776074   14.5418342   14.5865305   14.6343822   14.6598323   14.6902586 
#>           97          371          563          332           40          378 
#>   14.7163059   14.8517275   14.8589761   14.8662667   14.9580006   14.9588322 
#>          467          567          610          574          579          140 
#>   15.0521949   15.1337653   15.1656110   15.2863891   15.3232190   15.3245887 
#>          608          409          341          320          552          108 
#>   15.3843728   15.5624661   16.0868948   16.1748446   16.5248674   16.6831253 
#>          575           53          479           26          295          546 
#>   16.7926244   17.0282379   17.0777821   17.3178217   17.3201083   17.8621636 
#>           28          606          339          288          471           94 
#>   17.9659540   18.2969657   18.6194236   18.6312026   19.0265069   19.5047713 
#>           21          160          377          526          548          584 
#>   19.5744433   19.5938812   19.7565435   19.7651808   19.8381319   19.8444368 
#>          611           42          272           18           32           92 
#>   20.1648243   20.2050401   20.3060646   20.4215224   20.4995294   20.5059840 
#>           87          321          226          153           20          544 
#>   21.4680949   21.4801298   21.6379355   22.0140726   22.3150119   22.7606612 
#>          138           44           13           66          309           14 
#>   22.9561866   24.1992975   24.3997159   24.4303132   24.9092411   25.0682571 
#>          345           19          344           11            9           16 
#>   25.1793566   25.2387833   25.3786873   25.4256426   25.6327114   25.8141871 
#>           24           57          206          175            7            4 
#>   25.8886725   25.9649701   25.9986545   26.1131099   26.2358400   26.2437604 
#>          303          193           25          592          413          595 
#>   26.5302411   26.9986072   27.1834831   27.2244553   27.2811683   28.4282150 
#>          605          604          504          216            1          472 
#>   28.4661168   29.9155262   30.6250935   33.0064593   33.0380316   33.6605528 
#>          230           15          553          307            3           17 
#>   35.3187661   36.1458776   37.2086270   38.4504340   38.7136071   39.2079644 
#>          588          114          580            6           10           27 
#>   39.2756302   40.2970251   41.6859966   42.7018595   43.2771970   43.5211847 
#>           56            5          562          541          594          583 
#>   44.9714326   45.4723015   45.7158089   46.0138403   46.6167656   48.7218319 
#>          492          490          424          540          285          542 
#>   51.1433029   51.2754011   53.8682803   58.3083280   61.9555735   62.3247064 
#>          593          581          572          569           75          444 
#>   63.7252224   65.6959563   68.4994321   77.2995846   77.4229282   79.2220008 
#>           82          129          237          576          589           12 
#>   79.3491495   79.4364695   80.0685127   95.6377472  100.4276516  112.1478806 
#>          571           74            2          113            8           59 
#>  114.6337367  126.0423383  132.9674421  137.3006084  152.9188721  170.1666145 
#>          379          539          337           79          338 
#>  203.8118911  355.3490677  685.7137477 1154.7172495 1459.1762078 
#> 
#> $sort.y$ix
#>   [1] 281 239 368 349 229 255 312 405 244 280 298 347 191 177 242 316 416 403
#>  [19] 249 317 411 470 487 369 123 334 179 390 296 250 224 159 367 147 208 304
#>  [37] 265 385 247 142 186 294 201 212  91 118 223 434 414 342 109 310 178 248
#>  [55] 421 279 157 292 450 363 215 218 427 167 455 335 200 400 499 388 461 359
#>  [73] 219 137 183 286 146 256 291 380 270 257 196 116 126 433 172 438 234 464
#>  [91] 227 393 268 361 181 327 258 170 432 185 445 135 511 267 480 439 231 106
#> [109] 130 402 329 241 199 396 236 348 484 315 164 443 528 446 551 301 458  88
#> [127]  64 235 408 497 330 128 325 318 112 440 209 425 274 189 423 210 521  89
#> [145] 119 530 101  86 115 431 456 441 168 358 404 515 465 364  50 262 336 180
#> [163] 152 386 460 246  95 536 550 453 232 534  55  77  98 125  58 512 556 535
#> [181] 509  68 207 545 299 422 376 389 477 263 360 228 121 251 120 171 204 282
#> [199] 500  45 353 195 516  71 362 457  90 161 162 412 381  67 501 259 537 488
#> [217] 134  52 127 410 155 217 158  60  99 474 520 560 485 529 151 505 383 430
#> [235] 392 211 311  76 328 355 496 149 197  80 264 221 331 111 240 143 277 324
#> [253] 426  78  85 154 473 533 475 300 491 447 297 269 375 165 522 564 508 284
#> [271] 507 525 514 313 373 323 352 573 319 494 468 483 238 452 498 306 482  43
#> [289] 131  54 233 476 283 214 397  47 559 543  48 136 326 587 333 275 527 252
#> [307] 428 577 398  93  69 245 466 469 202 110 243 436 308  65 271 370 510 205
#> [325] 451 122  62 107 290 517 596 601 302 395  51 582 435 555 305 100 597 222
#> [343] 387 493 192 591 429 565  46 203 570 266  39  29  41 420 502 261 489  30
#> [361] 314  36 133  73 276 289 566 374 105 382 163 406 150 148 366 547  49 417
#> [379]  70 462 372 481 513 278 401 139  81 273 532 132 340 391 602 194 169 549
#> [397] 394 585 184  33  38 350 407 173 599 524 603  34 586  96  72 141 418 357
#> [415] 356 454 506 590 519 144 561 293 220 124 437 102  84 198 156  22 459 187
#> [433] 600 538  37 225 568 419 260 518  23 523  35 578 598 384 609 254  83 354
#> [451]  63 322 351 495 166 486 558 607 531 503 188 448 213 190 343 174 176 449
#> [469] 346 554 365 399 145 253 287 478 117 182 557 103  61 442 463 415  31 104
#> [487]  97 371 563 332  40 378 467 567 610 574 579 140 608 409 341 320 552 108
#> [505] 575  53 479  26 295 546  28 606 339 288 471  94  21 160 377 526 548 584
#> [523] 611  42 272  18  32  92  87 321 226 153  20 544 138  44  13  66 309  14
#> [541] 345  19 344  11   9  16  24  57 206 175   7   4 303 193  25 592 413 595
#> [559] 605 604 504 216   1 472 230  15 553 307   3  17 588 114 580   6  10  27
#> [577]  56   5 562 541 594 583 492 490 424 540 285 542 593 581 572 569  75 444
#> [595]  82 129 237 576 589  12 571  74   2 113   8  59 379 539 337  79 338
#> 
#> 
#> $ind
#>   [1] 131  54 233 476 283 214 397  47 559 543  48 136 326 587 333 275 527 252
#>  [19] 428 577 398  93  69 245 466 469 202 110 243 436 308  65 271 370 510 205
#>  [37] 451 122  62 107 290 517 596 601 302 395  51 582 435 555 305 100 597 222
#>  [55] 387 493 192 591 429 565  46 203 570 266  39  29  41 420 502 261 489  30
#>  [73] 314  36 133  73 276 289 566 374 105 382 163 406 150 148 366 547  49 417
#>  [91]  70 462 372 481 513 278 401 139  81 273 532 132 340 391 602 194 169 549
#> [109] 394 585 184  33  38 350 407 173 599 524 603  34 586  96  72 141 418 357
#> [127] 356 454 506 590 519 144 561 293 220 124 437 102  84 198 156  22 459 187
#> [145] 600 538  37 225 568 419 260 518  23 523  35 578 598 384 609 254  83 354
#> [163]  63 322 351 495 166 486 558 607 531 503 188 448 213 190 343 174 176 449
#> [181] 346 554 365 399 145 253 287 478 117 182 557 103  61 442 463 415  31 104
#> [199]  97 371 563 332  40 378 467 567 610 574 579 140 608 409 341 320 552 108
#> [217] 575  53 479  26 295 546  28 606 339 288 471  94  21 160 377 526 548 584
#> [235] 611  42 272  18  32  92  87 321 226 153  20 544 138  44  13  66 309  14
#> [253] 345  19 344  11   9  16  24  57 206 175   7   4 303 193  25 592 413 595
#> [271] 605 604 504 216   1 472 230  15 553 307   3  17 588 114 580   6  10  27
#> [289]  56   5 562 541 594 583 492 490 424 540 285 542 593 581 572 569  75 444
#> [307]  82 129 237 576 589  12 571  74   2 113   8  59 379 539 337  79 338
#> 

## "myplotDD" is equivalent to "plot(x=covMcd, which="dd")".
plot(x=covMcd, which="dd")