Description Details Author(s) References See Also Examples
Fits a multivariate model of decision trees for multiple, continuous outcome variables. A model for each outcome variable is fit separately, selecting predictors that explain covariance in the outcomes. Built on top of 'gbm', which fits an ensemble of decision trees to univariate outcomes.
The most important function is mvtb
, which fits the multivariate tree boosting model. See ?mvtb
for details. The fitted model objects have summary
, print
, plot
and predict
methods. Additionally, mvtb.ri
to computes the relative influence of each predictor, and mvtb.covex
computes an estimate of the covariance explained in pairs of outcomes by predictors. These tables can be displayed as heatmaps using mvtb.heat
. Examples for fitting, tuning and interpreting the models are available in the help pages and two package vignettes:
vignette("mvtboost_vignette") vignette("mvtboost_wellbeing")
Patrick Miller [aut, cre]
Maintainer: Patrick Miller <patrick.mil10@gmail.com>
Miller P.J., Lubke G.H, McArtor D.B., Bergeman C.S. (2015) Finding structure in data: A data mining alternative to multivariate multiple regression. Psychological Methods.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 | data(wellbeing)
Y <- wellbeing[,21:26]
X <- wellbeing[,1:20]
Ys <- scale(Y)
cont.id <- unlist(lapply(X,is.numeric))
Xs <- scale(X[,cont.id])
res <- mvtb(Y=Ys,X=Xs)
summary(res)
plot(res,predictor.no = 8)
predict(res,newdata=Xs)
covex <- mvtb.covex(res, Y=Ys, X=Xs)
mvtb.cluster(covex)
par(mar=c(4,7,1,1))
mvtb.heat(covex,cexRow=.8)
par(mar=c(5,5,1,1))
mvtb.heat(t(mvtb.ri(res)),cexRow=.8,cexCol=1,dec=0)
|
$best.trees
[1] 100
$relative.influence
autonomy envmast prsgrwth posrel prpsnlf slfaccpt
age 0.00 0.00 0.00 0.00 0.00 0.00
chrhlth 0.00 0.00 0.00 0.00 0.00 0.00
somhlth 0.00 0.00 0.00 0.00 0.00 0.00
slfhlth 0.00 0.00 0.00 0.00 0.00 0.00
posaff 0.00 0.60 0.00 0.00 10.84 14.83
negaff 0.00 16.69 0.00 0.00 0.00 16.95
pscntrl 0.00 2.79 2.86 2.22 1.22 4.17
cistot 86.26 25.68 46.90 0.00 10.87 9.92
comit 2.00 0.00 14.72 0.00 23.41 12.47
cntrl 7.34 0.00 2.11 0.00 2.07 0.00
chlng 0.00 0.00 0.00 0.00 0.00 0.00
egores 0.00 0.00 31.37 0.00 0.00 0.00
pssfrnd 0.00 0.00 0.00 14.46 0.00 0.00
pssfam 0.00 0.00 0.00 0.00 0.00 0.00
pssprob 4.39 39.61 2.05 0.00 39.66 32.80
pssemot 0.00 8.69 0.00 0.00 0.00 0.59
lonlnes 0.00 5.94 0.00 83.32 11.92 8.26
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[757,] -0.2124268916
[758,] 0.3029991677
[759,] 0.1049988178
[760,] -0.1578611678
[761,] 0.2465152614
[762,] 0.2355298156
[763,] -0.1128688683
[764,] 0.3029991677
[765,] 0.3029991677
[766,] 0.2355298156
[767,] 0.0986625312
[768,] 0.1436548307
[769,] 0.2520201466
[770,] -0.1183737534
[771,] -0.4949083078
[772,] 0.1855971272
[773,] 0.3029991677
[774,] -0.0693125244
[775,] 0.1756708730
[776,] 0.1524621233
[777,] 0.3029991677
[778,] 0.1946338518
[779,] 0.2355298156
[780,] 0.0311205502
[781,] -0.0372525043
[782,] -0.3893635630
[783,] 0.3029991677
[784,] -0.3016797934
[785,] 0.0464754687
[786,] -0.5050463414
[787,] -0.4178059409
[788,] -0.1463138223
[789,] -0.1823902919
[790,] 0.2281511162
[791,] -0.5472793068
[792,] -0.4388739429
[793,] -0.2254031488
[794,] 0.3029991677
[795,] 0.0885995176
[796,] 0.0526278188
[797,] -0.5472793068
[798,] -0.1892181418
[799,] 0.0979105878
[800,] 0.2192711947
[801,] -0.4792885714
[802,] 0.2520201466
[803,] 0.2520201466
[804,] -0.2796205089
[805,] -0.0033664981
[806,] -0.5500386410
[807,] -0.4627982405
[808,] -0.2643568384
[809,] 0.2266498941
[810,] -0.0045035524
[811,] -0.1832064709
[812,] -0.0618898472
[813,] -0.0169340520
[814,] 0.1620341951
[815,] -0.1766135340
[816,] -0.3992294611
[817,] -0.6345197073
[818,] -0.2227201871
[819,] 0.3029991677
[820,] 0.3029991677
[821,] 0.2185181013
[822,] -0.3120788363
[823,] 0.2520201466
[824,] 0.3029991677
[825,] 0.0971765282
[826,] 0.3029991677
[827,] -0.0100084375
[828,] -0.5472793068
[829,] 0.3029991677
[830,] 0.3029991677
[831,] -0.1256345130
[832,] 0.0124686160
[833,] 0.3029991677
[834,] -0.4766072516
[835,] 0.2270274976
[836,] 0.0479246076
[837,] 0.3029991677
[838,] -0.6345197073
[839,] 0.0912838317
[840,] 0.0320937047
[841,] -0.3086132950
[842,] -0.3995015966
[843,] 0.2465152614
[844,] 0.3029991677
[845,] -0.3723518486
[846,] 0.3029991677
[847,] -0.5399006074
[848,] 0.1872551523
[849,] 0.2520201466
[850,] -0.4059319083
[851,] -0.5821487084
[852,] -0.1043395373
[853,] 0.1074698237
[854,] -0.6345197073
[855,] 0.0912838317
[856,] -0.6345197073
[857,] 0.2956204682
[858,] 0.3029991677
[859,] -0.3213728276
[860,] -0.3779960084
[861,] -0.1612822419
[862,] 0.3029991677
[863,] 0.2520201466
[864,] -0.1128688683
[865,] -0.0949088948
[866,] 0.1685675972
[867,] -0.4766072516
[868,] -0.4002579780
[869,] -0.3260702072
[870,] -0.5050463414
[871,] -0.6345197073
[872,] -0.5018436383
[873,] -0.6345197073
[874,] -0.5399006074
[875,] 0.2506281687
[876,] 0.3029991677
[877,] -0.6345197073
[878,] 0.1422628528
[879,] 0.0464754687
[880,] 0.0761854787
[881,] -0.3383845419
[882,] -0.5638476521
[883,] -0.4072245383
[884,] -0.0455382266
[885,] 0.2520201466
[886,] 0.2520201466
[887,] 0.0761128497
[888,] 0.2580068681
[889,] -0.1892181418
[890,] -0.3544329246
[891,] -0.3071137257
[892,] 0.1946338518
[893,] -0.0272371703
[894,] 0.3029991677
[895,] 0.0909844849
[896,] 0.2956204682
[897,] 0.2580068681
[898,] -0.5472793068
[899,] -0.2124633959
[900,] 0.0931576460
[901,] 0.2266498941
[902,] 0.3029991677
[903,] -0.4029273860
[904,] -0.1652398673
[905,] 0.1381499456
[906,] 0.3029991677
[907,] -0.0832314872
[908,] -0.4692285521
[909,] 0.0311931792
[910,] -0.1832314203
[911,] 0.0660628745
[912,] -0.6345197073
[913,] -0.6345197073
[914,] 0.2185181013
[915,] -0.6345197073
[916,] -0.6345197073
[917,] -0.4627982405
[918,] -0.5472793068
[919,] 0.1421688277
[920,] -0.4766072516
[921,] -0.0832314872
[922,] -0.4182495311
[923,] -0.6175079930
[924,] 0.1496415522
[925,] -0.5895274078
[926,] -0.6104515065
[927,] -0.0171755092
[928,] -0.6345197073
[929,] -0.2497209336
[930,] -0.0683648442
[931,] 0.1909532277
[932,] -0.4386462707
[933,] -0.5135018379
[934,] -0.0618898472
[935,] -0.2855163275
[936,] -0.3622440589
[937,] 0.2520201466
[938,] -0.6175079930
[939,] 0.2266498941
[940,] 0.1109058788
[941,] 0.2580068681
[942,] -0.5302675925
[943,] -0.5228888930
[944,] -0.5399006074
[945,] 0.3029991677
[946,] -0.0058955303
[947,] 0.1868081319
[948,] 0.2520201466
[949,] 0.0508152262
[950,] -0.2561347046
[951,] -0.5018436383
[952,] -0.6101292936
[953,] -0.1165494923
[954,] -0.2062745415
[955,] -0.3093692637
[956,] 0.1756708730
[957,] 0.3029991677
[958,] -0.3260089703
[959,] 0.2520201466
[960,] -0.2008860746
[961,] 0.3029991677
[962,] 0.0251338286
[963,] -0.5472793068
[964,] 0.0941044028
[965,] 0.3029991677
[966,] -0.6345197073
[967,] -0.2861362425
[968,] -0.5472793068
[969,] -0.2497209336
[970,] -0.5399006074
[971,] -0.4293350281
[972,] -0.2833769084
[973,] -0.2961548646
[974,] 0.3029991677
[975,] -0.4692285521
[976,] 0.0391208245
[977,] 0.1496415522
[978,] -0.0481356432
[979,] 0.3029991677
[980,] 0.0177551292
[981,] -0.4086165162
[982,] 0.1436548307
[983,] 0.2070278471
[984,] -0.3967422624
lonlnes cistot pssprob egores pssfrnd cntrl
posrel-autonomy 0.1500630 0.1609527 0.0087822 0.0000000 0.0166512 0.0136198
posrel-prsgrwth 0.1988106 0.1090084 0.0048551 0.0671922 0.0373774 0.0047043
posrel-posrel 0.3271528 0.0000000 0.0000000 0.0000000 0.0567931 0.0000000
slfaccpt-posrel 0.3175304 0.0191384 0.0219874 0.0000000 0.0345187 0.0000000
posrel-envmast 0.3124335 0.0739475 0.1108084 0.0000000 0.0343328 0.0000000
prpsnlf-posrel 0.2917310 0.0319066 0.1053673 0.0000000 0.0393666 0.0052305
envmast-autonomy 0.0114136 0.2182412 0.0985397 0.0000000 0.0000000 0.0167812
prpsnlf-autonomy 0.0059311 0.2149187 0.0935203 0.0000000 0.0000000 0.0217504
autonomy-autonomy 0.0000000 0.1523852 0.0077588 0.0000000 0.0000000 0.0129740
prsgrwth-autonomy 0.0000000 0.2363931 0.0131975 0.0517955 0.0000000 0.0188996
slfaccpt-autonomy 0.0130292 0.2069042 0.0294062 0.0000000 0.0000000 0.0156899
prsgrwth-prsgrwth 0.0000000 0.1235166 0.0053958 0.0826232 0.0000000 0.0055445
slfaccpt-prsgrwth 0.0181652 0.1334014 0.0281987 0.0710779 0.0000000 0.0056648
prsgrwth-envmast 0.0152155 0.1579355 0.1138150 0.0708789 0.0000000 0.0060480
prpsnlf-prsgrwth 0.0078616 0.1530701 0.1080856 0.0763362 0.0000000 0.0119409
slfaccpt-prpsnlf 0.0663284 0.0606621 0.1625828 0.0000000 0.0000000 0.0063604
prpsnlf-prpsnlf 0.0400963 0.0365598 0.1333789 0.0000000 0.0000000 0.0069552
slfaccpt-slfaccpt 0.0296138 0.0355623 0.1175842 0.0000000 0.0000000 0.0000000
prpsnlf-envmast 0.0312365 0.1229600 0.2803111 0.0000000 0.0000000 0.0067220
envmast-envmast 0.0224058 0.0968988 0.1494423 0.0000000 0.0000000 0.0000000
slfaccpt-envmast 0.0483188 0.1144805 0.1720837 0.0000000 0.0000000 0.0000000
pssfam chlng slfhlth somhlth age chrhlth pscntrl pssemot
posrel-autonomy 0 0 0 0 0 0 0.0054332 0.0000000
posrel-prsgrwth 0 0 0 0 0 0 0.0159315 0.0000000
posrel-posrel 0 0 0 0 0 0 0.0087024 0.0000000
slfaccpt-posrel 0 0 0 0 0 0 0.0213405 0.0013529
posrel-envmast 0 0 0 0 0 0 0.0175503 0.0199349
prpsnlf-posrel 0 0 0 0 0 0 0.0120992 0.0000000
envmast-autonomy 0 0 0 0 0 0 0.0062431 0.0143088
prpsnlf-autonomy 0 0 0 0 0 0 0.0025681 0.0000000
autonomy-autonomy 0 0 0 0 0 0 0.0000000 0.0000000
prsgrwth-autonomy 0 0 0 0 0 0 0.0052156 0.0000000
slfaccpt-autonomy 0 0 0 0 0 0 0.0086623 0.0009469
prsgrwth-prsgrwth 0 0 0 0 0 0 0.0075280 0.0000000
slfaccpt-prsgrwth 0 0 0 0 0 0 0.0196357 0.0010564
prsgrwth-envmast 0 0 0 0 0 0 0.0161767 0.0155210
prpsnlf-prsgrwth 0 0 0 0 0 0 0.0115092 0.0000000
slfaccpt-prpsnlf 0 0 0 0 0 0 0.0182933 0.0017735
prpsnlf-prpsnlf 0 0 0 0 0 0 0.0040881 0.0000000
slfaccpt-slfaccpt 0 0 0 0 0 0 0.0149670 0.0021049
prpsnlf-envmast 0 0 0 0 0 0 0.0138561 0.0259223
envmast-envmast 0 0 0 0 0 0 0.0105174 0.0328002
slfaccpt-envmast 0 0 0 0 0 0 0.0247809 0.0331110
comit posaff negaff
posrel-autonomy 0.0040131 0.0000000 0.0000000
posrel-prsgrwth 0.0345209 0.0000000 0.0000000
posrel-posrel 0.0000000 0.0000000 0.0000000
slfaccpt-posrel 0.0244094 0.0314579 0.0426163
posrel-envmast 0.0000000 0.0015582 0.0433062
prpsnlf-posrel 0.0620896 0.0270613 0.0000000
envmast-autonomy 0.0049442 0.0013532 0.0351424
prpsnlf-autonomy 0.0550739 0.0218678 0.0000000
autonomy-autonomy 0.0035393 0.0000000 0.0000000
prsgrwth-autonomy 0.0340730 0.0000000 0.0000000
slfaccpt-autonomy 0.0252421 0.0262331 0.0345362
prsgrwth-prsgrwth 0.0387790 0.0000000 0.0000000
slfaccpt-prsgrwth 0.0702610 0.0303868 0.0288549
prsgrwth-envmast 0.0432242 0.0016060 0.0296175
prpsnlf-prsgrwth 0.1092188 0.0263008 0.0000000
slfaccpt-prpsnlf 0.1093046 0.0799714 0.0525868
prpsnlf-prpsnlf 0.0787325 0.0364654 0.0000000
slfaccpt-slfaccpt 0.0447211 0.0531802 0.0607648
prpsnlf-envmast 0.0773693 0.0392566 0.0531692
envmast-envmast 0.0000000 0.0022456 0.0629844
slfaccpt-envmast 0.0302699 0.0457603 0.1231494
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