uni.plot: Univariate Presentation of Multivariate Outliers

Description Usage Arguments Details Value Author(s) References See Also Examples

Description

The function uni.plot plots each variable of x parallel in a one-dimensional scatter plot and in addition marks multivariate outliers.

Usage

1
uni.plot(x, symb=FALSE, quan=1/2, alpha=0.025, ...)

Arguments

x

matrix or data.frame containing the data.

symb

logical. if FALSE, only two colors and no special symbols are used. outliers are marked red. if TRUE different symbols (cross means big value, circle means little value) according to the robust mahalanobis distance based on the mcd estimator and different colors (red means big value, blue means little value) according to the euclidean distances of the observations are used.

quan

amount of observations which are used for mcd estimations. has to be between 0.5 and 1, default ist 0.5

alpha

amount of observations used for calculating the adjusted quantile (see function arw).

...

additional graphical parameters

Details

The function uni.plot shows the mutlivariate outliers in the single variables by one-dimensional scatter plots. If symb=FALSE (default), only two colors and no special symbols are used to mark multivariate outliers (the outliers are marked red). If symb=TRUE different symbols and colors are used. The symbols (cross means big value, circle means little value) are selected according to the robust mahalanobis distance based on the adjusted mcd estimator (see function symbol.plot) Different colors (red means big value, blue means little value) according to the euclidean distances of the observations (see function color.plot) are used. For details see Filzmoser et al. (2005).

Value

outliers

boolean vector of outliers

md

robust multivariate mahalanobis distances of the data

euclidean

(only if symb=TRUE) multivariate euclidean distances of the observations according to the minimum of the data.

Author(s)

Moritz Gschwandtner <[email protected]>
Peter Filzmoser <[email protected]> http://cstat.tuwien.ac.at/filz/

References

P. Filzmoser, R.G. Garrett, and C. Reimann. Multivariate outlier detection in exploration geochemistry. Computers & Geosciences, 31:579-587, 2005.

See Also

map.plot, symbol.plot, color.plot, arw

Examples

1
2
3
4
5
6
data(swiss)
uni.plot(swiss)
#
# Geostatistical data:
data(humus) # Load humus data
uni.plot(log(humus[, c("As", "Cd", "Co", "Cu", "Mg", "Pb", "Zn")]),symb=TRUE)

Example output

Loading required package: sgeostat
sROC 0.1-2 loaded
$outliers
  Courtelary     Delemont Franches-Mnt      Moutier   Neuveville   Porrentruy 
       FALSE         TRUE         TRUE         TRUE        FALSE         TRUE 
       Broye        Glane      Gruyere       Sarine      Veveyse        Aigle 
        TRUE         TRUE         TRUE         TRUE         TRUE        FALSE 
     Aubonne     Avenches     Cossonay    Echallens     Grandson     Lausanne 
       FALSE        FALSE        FALSE        FALSE        FALSE        FALSE 
   La Vallee       Lavaux       Morges       Moudon        Nyone         Orbe 
       FALSE        FALSE        FALSE        FALSE        FALSE        FALSE 
        Oron      Payerne Paysd'enhaut        Rolle        Vevey      Yverdon 
       FALSE        FALSE        FALSE        FALSE        FALSE        FALSE 
     Conthey    Entremont       Herens     Martigwy      Monthey   St Maurice 
        TRUE         TRUE         TRUE         TRUE         TRUE         TRUE 
      Sierre         Sion       Boudry La Chauxdfnd     Le Locle    Neuchatel 
        TRUE         TRUE        FALSE        FALSE        FALSE        FALSE 
  Val de Ruz ValdeTravers V. De Geneve  Rive Droite  Rive Gauche 
       FALSE        FALSE         TRUE         TRUE         TRUE 

$md
  Courtelary     Delemont Franches-Mnt      Moutier   Neuveville   Porrentruy 
   1.9985581   12.9556569   15.0295900    5.4167605    1.7011647   12.8201054 
       Broye        Glane      Gruyere       Sarine      Veveyse        Aigle 
  13.7895037   14.8434130   14.7679185   13.1923851   14.7050075    1.4597372 
     Aubonne     Avenches     Cossonay    Echallens     Grandson     Lausanne 
   0.9997791    1.3753975    1.6817809    2.9931635    1.0476458    2.3516931 
   La Vallee       Lavaux       Morges       Moudon        Nyone         Orbe 
   2.6536456    1.3807370    1.1220942    1.8760753    1.6125590    1.4855210 
        Oron      Payerne Paysd'enhaut        Rolle        Vevey      Yverdon 
   1.2005360    1.2969916    1.9646028    1.4332458    1.7930736    1.5510789 
     Conthey    Entremont       Herens     Martigwy      Monthey   St Maurice 
  16.3809924   15.1964403   15.9003288   14.8661149   15.1076223   15.1013027 
      Sierre         Sion       Boudry La Chauxdfnd     Le Locle    Neuchatel 
  17.1280505   15.1105558    1.5201700    2.0850266    1.4719027    2.5909040 
  Val de Ruz ValdeTravers V. De Geneve  Rive Droite  Rive Gauche 
   1.3673747    1.8020833    6.6334650    7.7754565    8.0981202 

$outliers
    1     2     3     4     5     6     7     8     9    10    11    12    13 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE 
   14    15    16    17    18    19    20    21    22    23    24    25    26 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
   27    28    29    30    31    32    33    34    35    36    37    38    39 
FALSE  TRUE  TRUE FALSE  TRUE FALSE FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE 
   40    41    42    43    44    45    46    47    48    49    50    51    52 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE  TRUE FALSE 
   53    54    55    56    57    58    59    60    61    62    63    64    65 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE 
   66    67    68    69    70    71    72    73    74    75    76    77    78 
FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE 
   79    80    81    82    83    84    85    86    87    88    89    90    91 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE 
   92    93    94    95    96    97    98    99   100   101   102   103   104 
FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  105   106   107   108   109   110   111   112   113   114   115   116   117 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE  TRUE FALSE 
  118   119   120   121   122   123   124   125   126   127   128   129   130 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE 
  131   132   133   134   135   136   137   138   139   140   141   142   143 
FALSE FALSE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  144   145   146   147   148   149   150   151   152   153   154   155   156 
 TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE 
  157   158   159   160   161   162   163   164   165   166   167   168   169 
FALSE FALSE FALSE FALSE  TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE 
  170   171   172   173   174   175   176   177   178   179   180   181   182 
 TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  183   184   185   186   187   188   189   190   191   192   193   194   195 
FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE 
  196   197   198   199   200   201   202   203   204   205   206   207   208 
FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  209   210   211   212   213   214   215   216   217   218   219   220   221 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  222   223   224   225   226   227   228   229   230   231   232   233   234 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE 
  235   236   237   238   239   240   241   242   243   244   245   246   247 
FALSE FALSE FALSE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  248   249   250   251   252   253   254   255   256   257   258   259   260 
FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE  TRUE FALSE FALSE 
  261   262   263   264   265   266   267   268   269   270   271   272   273 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  274   275   276   277   278   279   280   281   282   283   284   285   286 
FALSE  TRUE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  287   288   289   290   291   292   293   294   295   296   297   298   299 
FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE 
  300   301   302   303   304   305   306   307   308   309   310   311   312 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE 
  313   314   315   316   317   318   319   320   321   322   323   324   325 
FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  326   327   328   329   330   331   332   333   334   335   336   337   338 
 TRUE  TRUE FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE 
  339   340   341   342   343   344   345   346   347   348   349   350   351 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  352   353   354   355   356   357   358   359   360   361   362   363   364 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  365   366   367   368   369   370   371   372   373   374   375   376   377 
 TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  378   379   380   381   382   383   384   385   386   387   388   389   390 
 TRUE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE 
  391   392   393   394   395   396   397   398   399   400   401   402   403 
FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  404   405   406   407   408   409   410   411   412   413   414   415   416 
FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE FALSE FALSE FALSE  TRUE FALSE 
  417   418   419   420   421   422   423   424   425   426   427   428   429 
FALSE FALSE  TRUE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE 
  430   431   432   433   434   435   436   437   438   439   440   441   442 
FALSE  TRUE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE 
  443   444   445   446   447   448   449   450   451   452   453   454   455 
FALSE FALSE FALSE FALSE  TRUE  TRUE  TRUE FALSE  TRUE FALSE FALSE FALSE FALSE 
  456   457   458   459   460   461   462   463   464   465   466   467   468 
FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE 
  469   470   471   472   473   474   475   476   477   478   479   480   481 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE 
  482   483   484   485   486   487   488   489   490   491   492   493   494 
FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  495   496   497   498   499   500   501   502   503   504   505   506   507 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  508   509   510   511   512   513   514   515   516   517   518   519   520 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  521   522   523   524   525   526   527   528   529   530   531   532   533 
 TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  534   535   536   537   538   539   540   541   542   543   544   545   546 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  547   548   549   550   551   552   553   554   555   556   557   558   559 
FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE 
  560   561   562   563   564   565   566   567   568   569   570   571   572 
FALSE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE  TRUE FALSE FALSE FALSE 
  573   574   575   576   577   578   579   580   581   582   583   584   585 
 TRUE FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE 
  586   587   588   589   590   591   592   593   594   595   596   597   598 
 TRUE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE FALSE 
  599   600   601   602   603   604   605   606   607   608   609   610   611 
FALSE FALSE FALSE FALSE FALSE FALSE  TRUE FALSE FALSE FALSE FALSE FALSE FALSE 
  612   613   614   615   616   617 
FALSE  TRUE  TRUE  TRUE  TRUE FALSE 

$md
         1          2          3          4          5          6          7 
 1.5757134  3.6116303  1.7092686  2.2904406  3.8057979  2.4497456  2.8675959 
         8          9         10         11         12         13         14 
 3.8973142  9.6936944  1.7150253  1.5049389  2.5969813  1.7254002  3.7596509 
        15         16         17         18         19         20         21 
 3.3102669  1.6843433  1.3020299  1.8601825  2.5001771  1.4953379  2.5665269 
        22         23         24         25         26         27         28 
 2.1645011  2.3040605  1.8541297  2.8142078  1.6729697  3.7342336 14.3692541 
        29         30         31         32         33         34         35 
 4.4949767  1.1003395  4.0509112  3.0842667  2.3547104  6.4754572 10.1385008 
        36         37         38         39         40         41         42 
 3.3261920  2.0958377  1.5444070  3.1725132  3.0271198  2.6785740  2.6728036 
        43         44         45         46         47         48         49 
 2.4291286  1.7669720  2.7539742  1.6817061  2.6439830  4.6115499  4.5864963 
        50         51         52         53         54         55         56 
 2.8305758  6.0925398  2.8518317  3.2119566  2.2169515  1.5196099  2.1589968 
        57         58         59         60         61         62         63 
 1.4535782  1.7209971  1.5423435  4.0775485  2.9088693  2.3899682  4.4326831 
        64         65         66         67         68         69         70 
 3.0631110  3.7600566  2.4242584 10.5852813  1.7649591  1.1016048  3.8725877 
        71         72         73         74         75         76         77 
 1.5477023  2.5744786  2.7188116  2.4857178 12.3510647  1.7617825  2.7824822 
        78         79         80         81         82         83         84 
 1.0959276  2.0575341  1.9988729  2.4866963  2.3224352  3.3831239  2.7336114 
        85         86         87         88         89         90         91 
 2.0727760  3.0657160 10.4342803  2.6358014  2.6129116  5.0122160  2.4702634 
        92         93         94         95         96         97         98 
 3.5992970  1.5935193  1.5856749  3.1956772  2.9044888  4.1041973  1.8837426 
        99        100        101        102        103        104        105 
 1.9495807  2.3388201  2.7168256  2.6592398  1.9693866  2.2554258  2.2099506 
       106        107        108        109        110        111        112 
 2.9005176  3.0932787  2.0966247  1.7694370  2.3998116  2.4984212  2.3816668 
       113        114        115        116        117        118        119 
 2.2125080  2.6228486  6.8937338 10.4674296  2.5983601  1.6249174  1.7869580 
       120        121        122        123        124        125        126 
 2.9936791  2.1507436  2.0895731  1.3033208  2.2506152  2.4033362  4.2732730 
       127        128        129        130        131        132        133 
 2.2494758  1.8566022  1.5079949  3.6236788  1.8559736  3.0624956  8.5691826 
       134        135        136        137        138        139        140 
 2.5021698 12.8570927  1.9838991  2.6619854  2.0549043  2.1954311  2.2438385 
       141        142        143        144        145        146        147 
 1.7288414  1.9336391  3.8288519  5.5269778  4.7613066  1.0930596  2.2741350 
       148        149        150        151        152        153        154 
 2.8597697  2.3926908  2.4602200  3.0240598  3.1263183  1.5191415  2.3962763 
       155        156        157        158        159        160        161 
 2.1808853  4.5105972  1.7137116  2.7931210  1.6786067  3.3105992  6.2098507 
       162        163        164        165        166        167        168 
 2.8903639  1.7393683  6.4099290  2.9267992  2.6554230  3.0589177  3.9764869 
       169        170        171        172        173        174        175 
 3.3710361  4.4138374  2.3591433  1.6979091  9.6384527  1.1387770  2.5083317 
       176        177        178        179        180        181        182 
 3.0128132  1.3116645  3.4209370  1.3907018  2.1113668  3.1150990  1.8264820 
       183        184        185        186        187        188        189 
 1.4131402  2.6381538  2.1000781  2.1891016  3.3626291  4.9115849  1.9475856 
       190        191        192        193        194        195        196 
 2.4864523  3.0716605  3.9491839  3.0867067  4.7251836  3.2109527  1.4539071 
       197        198        199        200        201        202        203 
 5.3424377  2.0066360  2.0698341  2.2078349  4.7903269  2.9860835  1.4909352 
       204        205        206        207        208        209        210 
 1.9066554  3.2405818  1.9973804  1.7572396  2.8497571  2.5924217  3.0854658 
       211        212        213        214        215        216        217 
 2.5909420  2.6187829  2.1621126  2.7002444  2.6690953  3.2721787  2.2117532 
       218        219        220        221        222        223        224 
 2.5791671  2.5965432  1.8405651  2.8141238  1.5343889  1.3735626  3.0306980 
       225        226        227        228        229        230        231 
 1.8609899  1.9083351  3.3051309  3.2501141  2.6066015  2.8282841  1.6141405 
       232        233        234        235        236        237        238 
 5.3788846  1.9679456  2.4261985  3.6366290  2.1179800  2.7034917  4.2389467 
       239        240        241        242        243        244        245 
 1.9084004  4.0763557  3.1502348  2.8745379  1.9212592  3.5206458  2.0040114 
       246        247        248        249        250        251        252 
 2.2101917  1.9621363  3.0435903  4.3247858  3.8728521  1.4838800  2.3831422 
       253        254        255        256        257        258        259 
 4.1203162  2.2145849  1.7194846  3.4808939  4.8587688 11.7097170  2.9111995 
       260        261        262        263        264        265        266 
 2.5658439  2.7570456  3.8554544  3.5549933  1.4698605  2.3414152  2.5318302 
       267        268        269        270        271        272        273 
 1.9448631  2.1095619  1.8324651  2.8148640  1.8253149  2.4607291  1.9018523 
       274        275        276        277        278        279        280 
 2.1436556  4.1571497  4.3219907  3.9713726  2.4147763  2.0516914  1.5957765 
       281        282        283        284        285        286        287 
 2.4110145  2.9972308  2.0744132  2.4165383  1.8537693  0.9141890  3.4309029 
       288        289        290        291        292        293        294 
 2.5667122  3.4335103  8.3329807  1.4823493  1.3737738  1.2217789  3.8552818 
       295        296        297        298        299        300        301 
 1.4573975  1.5833919  3.7096280  2.0282107  5.2775531  1.9782443  3.5744667 
       302        303        304        305        306        307        308 
 2.2214675  1.8696454  3.5191021  2.2938265  1.6667680  1.5485073  2.0074772 
       309        310        311        312        313        314        315 
 2.1406282  2.3909036  6.5536922  1.5998957  1.5754702  2.1415399  2.4938331 
       316        317        318        319        320        321        322 
 4.0415303  2.5771368  2.0444254  1.9464491  1.8072520  2.2880106  1.7971862 
       323        324        325        326        327        328        329 
 1.4407115  1.6787051  1.8427856  4.5993068  4.2407071  1.4790853  3.2528022 
       330        331        332        333        334        335        336 
 1.7446704  1.3904575  5.7456142  4.2539264  5.9224176  3.4151762  0.7361370 
       337        338        339        340        341        342        343 
 2.7891575  1.4896807  1.4892884  1.4366595  2.2467197  2.4097180  2.4765360 
       344        345        346        347        348        349        350 
 2.8536265  3.4467065  2.1072180  1.5261578  1.9431411  1.6695894  1.5005219 
       351        352        353        354        355        356        357 
 1.4376830  3.6841292  2.0082544  2.1108021  3.1937281  1.4488334  2.4967738 
       358        359        360        361        362        363        364 
 3.1431951  3.6971833  1.5996282  0.9241339  3.7750861  2.6596160  1.5117958 
       365        366        367        368        369        370        371 
 4.0203713  1.1375494  1.5979768  0.6383187  2.7761859  2.0364195  1.7330732 
       372        373        374        375        376        377        378 
 2.9742991  3.2000022  2.2042528  3.0873122  3.1668688  1.5706642  5.7573549 
       379        380        381        382        383        384        385 
 1.3129157  3.8454250  3.6374951  1.8834701  6.5645360  1.5142057  3.4874598 
       386        387        388        389        390        391        392 
 2.4368387  2.0714778  2.7610503  2.7040846  5.2973412  0.9372919  1.7507086 
       393        394        395        396        397        398        399 
 2.8606203  2.0980102  5.4694482  2.1044255  2.5712697  2.0626024  3.9175064 
       400        401        402        403        404        405        406 
 2.3225761  3.0494559  3.0070604  2.9205406  2.5115209  1.3678511  3.1959269 
       407        408        409        410        411        412        413 
 1.7545648  4.0746871  5.3731116  4.1660239  2.2596195  3.3427058  2.9594568 
       414        415        416        417        418        419        420 
 2.4546249  5.1661737  1.4991169  2.2317469  2.9249862  4.4412289  3.0773373 
       421        422        423        424        425        426        427 
 1.6762850  2.2053337  4.7317722  1.7586374  3.8057492  2.3892683  2.5972214 
       428        429        430        431        432        433        434 
 2.5059840  1.4631444  3.3815659  5.0604631  3.2324948  1.8455384  2.4950007 
       435        436        437        438        439        440        441 
 3.9386194  2.3578320  4.0118697  2.4321359  2.2523641  1.8337878  1.5462765 
       442        443        444        445        446        447        448 
 2.2410003  2.9544891  3.7333784  3.2663602  3.0936882  4.8993342  4.5824475 
       449        450        451        452        453        454        455 
 6.1399912  1.7728841  4.1938829  1.1766179  2.6561550  2.4304340  2.2997071 
       456        457        458        459        460        461        462 
 1.7950447  1.9195677  3.0810876  1.4986270  4.1526012  2.1715808  2.9087472 
       463        464        465        466        467        468        469 
 2.1494186  1.4732558  1.8525470  1.5280989  2.0187257  4.4103542  1.6237197 
       470        471        472        473        474        475        476 
 3.5390497  1.5635561  3.9923740  3.9641846  1.8736389  2.6329885  3.2380466 
       477        478        479        480        481        482        483 
 2.3801189 19.2562058  3.3630814  3.1052243  3.4551309  2.3644328  3.3118196 
       484        485        486        487        488        489        490 
 2.1683514  1.2842702  2.7737493  6.8397800  2.3449381  2.7971718  2.2859782 
       491        492        493        494        495        496        497 
 2.9461988  2.5981425  2.1218729  2.4587049  2.9754919  1.4472053  1.9826996 
       498        499        500        501        502        503        504 
 1.5851962  2.0836878  2.5462241  2.2700374  1.9236056  3.1904344  2.5585178 
       505        506        507        508        509        510        511 
 1.9451812  2.7002822  2.1262802  1.6853377  3.8314809  2.6925135  1.4583519 
       512        513        514        515        516        517        518 
 2.8448026  1.0122740  2.3734066  3.5031461  3.4770628  1.9398710  2.0025170 
       519        520        521        522        523        524        525 
 2.1021482  2.4091317  5.3285854  0.8968741  2.9480644  3.3091902  2.7149596 
       526        527        528        529        530        531        532 
 3.1313441  1.6375541  1.9363123  2.4947093  2.0332412  2.7446802  1.0854833 
       533        534        535        536        537        538        539 
 3.1437129  2.8732844  3.6395426  2.2837745  1.8744025  2.0854400  1.3874864 
       540        541        542        543        544        545        546 
 1.8510846  2.2741116  2.5108424  3.9283866  3.6689858  2.9416619  2.2430771 
       547        548        549        550        551        552        553 
 1.3075366  6.7088698  1.1131010  2.6673467  1.9563132  3.7982948  2.1316790 
       554        555        556        557        558        559        560 
 2.1715092  3.4349771  3.9364403  5.1269695  2.8613661  3.2614356  2.8438394 
       561        562        563        564        565        566        567 
 2.6976080  2.1225267  1.0335762  3.6745971  2.9328517  1.9210472  9.1283316 
       568        569        570        571        572        573        574 
 3.1346276  5.2522292  1.9092378  1.5983306  2.5429802  4.0846208  2.4158790 
       575        576        577        578        579        580        581 
 1.8228094  2.4626838  2.9425665  1.1440927  1.2025453  4.8054854  2.0262992 
       582        583        584        585        586        587        588 
 1.6622656  2.1486954  3.4686612  1.5853844  4.8547864  1.6672603  2.7537023 
       589        590        591        592        593        594        595 
 6.2301028  2.5261177  1.8638496  2.6062682  2.2547019  2.0974885  2.1783027 
       596        597        598        599        600        601        602 
 2.4240175  3.5409230  2.3931881  1.6204219  1.3601869  2.4320030  2.3556523 
       603        604        605        606        607        608        609 
 1.5500537  2.8647348  4.0655967  1.5967935  2.3732907  1.4948108  1.4576303 
       610        611        612        613        614        615        616 
 2.9936636  2.1893528  2.5094612  8.8270825  4.0200840  7.0462588  4.5469319 
       617 
 2.6410765 

$euclidean
        1         2         3         4         5         6         7         8 
 9.404639  9.088475  9.583875 10.367520  8.751696 11.019380  9.811020  8.050946 
        9        10        11        12        13        14        15        16 
12.623733  8.554799  9.185788 10.130167 10.239847 10.061580 10.818222 10.614834 
       17        18        19        20        21        22        23        24 
 9.623012 10.126215  7.246763  9.778468 10.784067  8.698959  9.068921  9.655385 
       25        26        27        28        29        30        31        32 
10.250240  8.839417 12.011043 18.143632 11.833872  9.604975 11.935036  9.525595 
       33        34        35        36        37        38        39        40 
 9.458963 12.689146 17.898240  8.621565  9.704603  9.312188 11.375020  7.689387 
       41        42        43        44        45        46        47        48 
 9.843533  9.496908  8.091136  9.412124 10.391329  9.563052 10.784598 11.012079 
       49        50        51        52        53        54        55        56 
13.591462  9.152581 12.968993  8.657816  9.284863 10.683996  8.362001  9.083075 
       57        58        59        60        61        62        63        64 
 9.078784 10.718654 10.013723 10.991467 11.031389  9.740551 11.529222 10.136415 
       65        66        67        68        69        70        71        72 
 9.631703  9.733935 17.575530  9.115547  9.241602 10.298724  9.851977  9.516839 
       73        74        75        76        77        78        79        80 
 9.109481  8.943530 16.913797 10.612802 10.010214  9.679835  9.146033  8.145849 
       81        82        83        84        85        86        87        88 
 8.695277 11.557946 11.435186 11.459108  9.393971  8.452163 16.456330  9.359204 
       89        90        91        92        93        94        95        96 
 9.833925 10.535260 10.550612 12.678844  9.176534  9.656772 11.035576  8.291568 
       97        98        99       100       101       102       103       104 
 7.955829  9.492259  8.362651  7.660762  7.748433  7.676321  9.090285 10.717633 
      105       106       107       108       109       110       111       112 
 9.379137 10.442693  8.177787  9.750660  9.774150  9.624679 10.055584  9.953159 
      113       114       115       116       117       118       119       120 
10.378434  9.727161 15.392742 17.235441 10.459396  9.476073  8.422110 11.651049 
      121       122       123       124       125       126       127       128 
10.453569  8.999913  9.733854  8.289584  9.338012 11.140213 10.327017  9.464273 
      129       130       131       132       133       134       135       136 
 9.499619  8.906149  8.883073  8.860021 11.545946 10.012983 11.763498  8.829584 
      137       138       139       140       141       142       143       144 
 8.374159  9.303480 10.063427  8.994381 10.101894  9.222062  7.734942 14.444524 
      145       146       147       148       149       150       151       152 
12.079850  9.561756  9.030975 10.155711 10.180155  9.814763 11.144681 10.010680 
      153       154       155       156       157       158       159       160 
 9.508693 10.257771 10.384825 13.562123  9.230846  9.716283  8.608414  8.118788 
      161       162       163       164       165       166       167       168 
14.685214  8.353048 10.836758 14.085088 11.781931 10.440722  7.757507  8.464961 
      169       170       171       172       173       174       175       176 
10.592515 13.210574  9.041275  9.938824 17.498534  9.580067  9.841413 11.083619 
      177       178       179       180       181       182       183       184 
 9.992249  8.681716  8.809767  9.072364  9.085630  8.125150  8.688002 10.118312 
      185       186       187       188       189       190       191       192 
 9.069301  9.560094 11.614765  8.446626  9.673631 10.805872  8.441277  9.995260 
      193       194       195       196       197       198       199       200 
10.322136 10.519675  9.884466  9.156855 12.867115 11.502604 10.229574  9.209038 
      201       202       203       204       205       206       207       208 
 9.191908  8.770834 10.524097  9.585763 10.032351  9.295929  9.529226 11.228752 
      209       210       211       212       213       214       215       216 
 9.010811  9.094886 10.662332  9.447884 11.008403  8.918383  8.330969  8.868431 
      217       218       219       220       221       222       223       224 
 9.112306  8.809752 10.092755  9.999378  9.898142  9.311904  9.998219  8.403557 
      225       226       227       228       229       230       231       232 
10.522170 10.758523  8.069814 10.575217  9.617165 10.755347  8.357400 13.100213 
      233       234       235       236       237       238       239       240 
 9.876940 10.386237  9.741589 10.002587  9.629356  9.494341 10.392422  8.392678 
      241       242       243       244       245       246       247       248 
10.307772 10.634010 10.463381  8.580648 10.375208 10.134784  9.540585 10.233982 
      249       250       251       252       253       254       255       256 
12.182824 10.507772  9.981141  8.523725  6.502860 10.402461  9.375972  7.764010 
      257       258       259       260       261       262       263       264 
13.372247 15.937607  9.258238  8.639672  7.931906 11.242332 12.078039  9.833400 
      265       266       267       268       269       270       271       272 
11.526817  8.964593  9.944203 10.302180 10.640665  8.245674  9.418305  7.957885 
      273       274       275       276       277       278       279       280 
 9.103333 10.212548  9.954289 11.743445  8.412483  9.776165 10.480724  9.135826 
      281       282       283       284       285       286       287       288 
10.030089 12.234567  9.484869  7.880974  9.678918  9.369002  8.186470  9.088456 
      289       290       291       292       293       294       295       296 
 9.292393 13.066528  8.531553  9.593225 10.312316  8.360296 10.347248 10.022308 
      297       298       299       300       301       302       303       304 
 7.847614  9.956934 12.995432 10.071291  8.279636  8.841071 10.727860 12.086325 
      305       306       307       308       309       310       311       312 
10.352295  9.789434  9.829749  9.245851  9.891218  8.085560 12.915338 10.142699 
      313       314       315       316       317       318       319       320 
 9.967488  9.672914  9.888846  9.187606  7.823892  9.718736  8.872779  9.731573 
      321       322       323       324       325       326       327       328 
 9.543830  8.811359  9.637847  9.706421 10.487461 13.439352  9.499244  8.425397 
      329       330       331       332       333       334       335       336 
12.053532  9.520843  9.289363 10.015075 11.312059 13.962850 12.010710  9.472793 
      337       338       339       340       341       342       343       344 
 9.876861 10.113548  8.731088  8.607421 10.255252  8.272175 10.726437 11.475119 
      345       346       347       348       349       350       351       352 
 8.514562 10.667060  9.436280  9.421886  9.274055  9.518190  9.896841 11.692789 
      353       354       355       356       357       358       359       360 
 9.232871  9.880201  9.173639  9.760427 10.048612  9.723624  9.670891  8.821742 
      361       362       363       364       365       366       367       368 
10.037138  9.989948  8.307890 10.345148 12.165392  9.132490  9.320342  9.291806 
      369       370       371       372       373       374       375       376 
11.419443  8.309176  9.363744 11.066178 11.136954  8.462049  6.997555  9.514284 
      377       378       379       380       381       382       383       384 
 9.219597 12.063630  9.569994 11.349344 10.487804 10.720549 14.907969  8.713729 
      385       386       387       388       389       390       391       392 
 6.568434  8.808238  8.958281  9.076488  7.870674  7.681569  9.585709 10.322696 
      393       394       395       396       397       398       399       400 
10.272060  9.149415 12.446883  8.116054  8.708550  9.125569  9.667199  8.715771 
      401       402       403       404       405       406       407       408 
 9.238867 11.129903 10.988165  8.733910  8.455725 10.094964  9.966046 13.179326 
      409       410       411       412       413       414       415       416 
13.266956  8.291169 10.476079  8.498654 11.779233  8.086795 11.967009  9.416062 
      417       418       419       420       421       422       423       424 
10.197397  8.221195  9.546181  8.823084  8.841904 10.086634 12.731998  9.615956 
      425       426       427       428       429       430       431       432 
11.423634  9.504752 10.076083  9.412030  8.914769 11.370723 13.214284 10.992242 
      433       434       435       436       437       438       439       440 
 8.672811 10.222030  7.672615  9.910474 11.497865  8.422907  8.618263  8.681887 
      441       442       443       444       445       446       447       448 
 9.487939  8.594034  8.033557 11.041947  9.505147  9.495566 10.856663  8.225097 
      449       450       451       452       453       454       455       456 
 9.546612  9.778059  7.023882  8.377621  9.817270 10.095311  9.912201 10.351467 
      457       458       459       460       461       462       463       464 
10.629035 12.457239  9.635520  9.883385  8.582244 12.062817 10.980256  9.970576 
      465       466       467       468       469       470       471       472 
 9.890318  9.802856  9.119183 12.671429  9.157794  8.190350  9.248347  9.369834 
      473       474       475       476       477       478       479       480 
11.526747 10.481917 10.590737  8.425195  9.553719 14.435996 10.386534  9.256864 
      481       482       483       484       485       486       487       488 
 7.514432  7.753905 11.671322  8.781905  8.823457  9.626449 14.015791  9.836393 
      489       490       491       492       493       494       495       496 
 7.189506  9.410297  8.192368 10.639448  9.721296  7.876234 10.915427 10.615271 
      497       498       499       500       501       502       503       504 
10.082684  8.917262  8.645095 10.590350 10.192127  8.873319 11.523864 10.164510 
      505       506       507       508       509       510       511       512 
 9.506917  8.658132  8.445638  8.391029 11.048740  9.869563  9.214057  8.484569 
      513       514       515       516       517       518       519       520 
 9.090972 10.287975  9.922871  8.373349 10.311314  8.814409  9.053837  7.937971 
      521       522       523       524       525       526       527       528 
 8.960872  8.826065  9.991778 10.718160  8.105568  9.455205  9.238003  9.058048 
      529       530       531       532       533       534       535       536 
 9.651025  8.795601  8.745416  9.751880  8.512548  7.925609 10.953879  9.404072 
      537       538       539       540       541       542       543       544 
 9.608768 10.329487  8.717701 10.141494 10.734629  8.344896 12.430417  9.746952 
      545       546       547       548       549       550       551       552 
10.929991  8.441131  9.679103 12.641752  8.850487  8.076786 10.328368  9.844767 
      553       554       555       556       557       558       559       560 
 9.135937 10.397829 11.024895  8.038567 10.192996 12.182481  9.190358 12.152018 
      561       562       563       564       565       566       567       568 
 9.341504 10.609429  9.934406  7.638116  7.676991  9.624544 15.846881 10.626814 
      569       570       571       572       573       574       575       576 
 8.856966 10.987633  9.000799 10.128749 11.926897 11.293005  9.953820  9.787224 
      577       578       579       580       581       582       583       584 
10.828214  9.932138  9.445964 12.603132 10.433033 10.621477  8.157944 11.322254 
      585       586       587       588       589       590       591       592 
 9.475193 12.815248  9.939320 10.793786 13.029898  9.700654 10.469621 10.796760 
      593       594       595       596       597       598       599       600 
10.889065  9.298005  9.427583  8.462440  8.029292  8.931948  9.363467  8.556474 
      601       602       603       604       605       606       607       608 
10.651265  9.349132  9.007963  8.713379  8.118796 10.280407  9.722678  9.187471 
      609       610       611       612       613       614       615       616 
 9.451008  9.343130  9.014660 10.221517 15.917047 11.878402 10.618598 12.569171 
      617 
11.022221 

mvoutlier documentation built on Feb. 9, 2018, 6:07 a.m.