library(HDclassif)
## Loading required package: MASS
library(psych)
data("wine")
#Bartlett
cortest.bartlett(wine) # Nos indica que el data.frame es propicio para realizar anĂ¡lisis de factores (p value muy bajo)
## R was not square, finding R from data
## $chisq
## [1] 1709.671
##
## $p.value
## [1] 9.80679e-297
##
## $df
## [1] 91
#Kaiser-Meyer-Olkin factor adequacy
#Pregunta 8 y 9
KMO(wine) #Nos indica que el data.frame es propicio para realizar anĂ¡lisis de factores (tiene que ser mayor a 0.5)
## Kaiser-Meyer-Olkin factor adequacy
## Call: KMO(r = wine)
## Overall MSA = 0.8
## MSA for each item =
## class V1 V2 V3 V4 V5 V6 V7 V8 V9 V10 V11 V12
## 0.79 0.75 0.82 0.46 0.72 0.71 0.88 0.81 0.83 0.88 0.59 0.85 0.90
## V13
## 0.81
library(HDclassif)
library(psych)
#Componentes principales
pca=prcomp(wine, scale=TRUE)
pca$sdev
## [1] 2.3528595 1.5802140 1.2025283 0.9632849 0.9367510 0.8202307 0.7441767
## [8] 0.5916369 0.5427172 0.5121583 0.4752351 0.4108488 0.3599502 0.2404419
pca$x
## PC1 PC2 PC3 PC4 PC5
## [1,] -3.513024083 -1.44901095 0.164331927 -0.0132354868 0.7352712495
## [2,] -2.521744523 0.32909093 2.021005638 -0.4159709585 -0.2824170691
## [3,] -2.777194851 -1.03401911 -0.980471909 0.6623639624 -0.3864747681
## [4,] -3.911554382 -2.76042344 0.174475992 0.5634982615 -0.3234473063
## [5,] -1.403551861 -0.86533209 -2.020130938 -0.4396655603 0.2273080377
## [6,] -3.278880486 -2.12418306 0.627223018 -0.6036690217 -0.4084741747
## [7,] -2.742840318 -1.17585305 0.974588274 -0.3525938619 -1.0213955679
## [8,] -2.386135518 -1.60674987 -0.145319533 -1.2420979161 0.2068543466
## [9,] -2.787393428 -0.92058266 1.765943961 -0.1563853889 -0.8560500287
## [10,] -2.997142086 -0.79404427 0.980974418 0.2695328266 -0.4705179079
## [11,] -3.668340606 -1.30883136 0.420667517 0.0020641733 -0.2591095954
## [12,] -2.103700480 -0.61125770 1.188218133 -1.0954534601 -0.5563297061
## [13,] -2.431597118 -0.67661466 0.863079058 -0.6569263584 -1.0846618504
## [14,] -3.663161193 -1.13691426 1.200382567 -0.2307148420 -1.8174847430
## [15,] -4.429081842 -2.10438296 1.258899205 0.2034302321 -0.8421767145
## [16,] -2.601585110 -1.66173047 -0.217020571 -1.5141875503 -0.0993603741
## [17,] -2.468465215 -2.32434003 -0.829262820 -0.8947559752 0.2104437913
## [18,] -2.219970165 -1.62899496 -0.792322900 -1.1470164581 -0.1301127546
## [19,] -3.731742493 -2.52129300 0.483468544 -1.0517270184 -0.7203326906
## [20,] -2.387676152 -1.06153499 0.164248436 0.5657676657 0.5355417469
## [21,] -3.327183368 -0.79377365 0.362828827 0.2460633165 0.9659055564
## [22,] -1.477236883 -0.23941013 -0.933597405 0.8972332665 -0.2092843901
## [23,] -2.820113471 0.08661323 0.311089177 -0.2063638159 -0.4862010173
## [24,] -2.002066457 0.51416609 -0.142851007 -0.5766810317 -0.3755931522
## [25,] -2.108687681 0.31503190 -0.887220699 -0.3306825055 -0.6221761937
## [26,] -1.393606311 -0.93557614 -3.809097443 -1.3437600270 0.3416893362
## [27,] -2.127486643 -0.68516927 0.087212048 -0.5743975719 -1.1272041930
## [28,] -1.625119559 0.09092753 1.383913414 -0.6725541885 -0.3736816112
## [29,] -2.500553765 -0.69080117 -1.390249800 -0.9842005795 -0.6296900736
## [30,] -2.552283493 -0.19492305 1.089605707 0.1314594809 -0.5732839737
## [31,] -2.764645791 -1.24284687 -1.382356023 -0.4453631101 -0.4093778814
## [32,] -2.926877371 -1.47412052 0.330919192 -0.3201106169 0.0574711790
## [33,] -1.985647144 -0.05310222 0.167342712 -0.9315926959 -0.4862800756
## [34,] -2.239392808 -1.63007087 -1.168088719 -2.3488460169 0.3504664856
## [35,] -1.781959583 -0.69551841 -0.477611427 -1.0973471140 0.2233640082
## [36,] -2.221372441 -0.17878459 -0.449455981 0.2015024704 -0.2722279181
## [37,] -1.763055105 -0.65602175 -0.456232639 -1.3829910011 -0.0000909193
## [38,] -1.518893365 -0.11190937 0.039998863 -1.0962609938 -0.2040317644
## [39,] -1.867098082 0.76714174 1.422805688 -0.8429806630 -0.0654146334
## [40,] -2.789246215 -1.80372079 0.341693195 1.3400651300 0.7390136544
## [41,] -2.832944297 -0.78395014 0.117450556 0.5997674680 0.3234324933
## [42,] -1.102462188 -0.16541830 0.782362035 0.9753745009 -0.9692610714
## [43,] -3.297592710 -1.16068133 0.311321750 0.4527754947 -0.4487258743
## [44,] -0.902253275 -0.32515521 0.202014386 1.2465061207 -0.3859798701
## [45,] -2.390093523 0.06671774 0.653643575 0.8384543292 0.2477136628
## [46,] -1.533486566 -1.77008445 -0.027590759 0.4444440465 -0.5367447936
## [47,] -2.982802310 -1.19425370 0.537948354 1.1630797384 -0.9194897999
## [48,] -3.050710625 -0.65198279 1.151509681 0.9943126920 -0.2012736508
## [49,] -2.312248880 -1.24671983 0.057136838 0.1388179196 -0.4034442457
## [50,] -2.951147454 -1.75365679 0.640847869 -0.1453572609 -0.3404551050
## [51,] -3.402583023 -0.17641815 1.966734122 1.2019811189 -0.1051906911
## [52,] -3.107612066 -0.74999309 -0.004984078 -0.3655687766 -0.6349122583
## [53,] -3.689802644 -1.61852620 0.518406089 0.0391276724 -0.4914206657
## [54,] -2.530410292 -1.87324374 -0.338228062 -1.3272359836 -0.2757676005
## [55,] -2.437912181 -1.01784394 0.954877345 -0.0581426554 0.8348386884
## [56,] -2.715155381 -1.33148772 -0.512742467 0.5072379620 0.8573653468
## [57,] -2.976919241 -1.43957671 0.610072535 0.3314729598 0.3934957803
## [58,] -2.481147879 -1.21207339 -0.260757766 -0.6786912183 -0.5660882366
## [59,] -3.341859666 -1.73570661 0.283934186 0.3148888067 0.1126734748
## [60,] 0.872463924 3.06906636 4.572747016 -0.9563997544 0.6275758550
## [61,] 1.410681395 1.38604434 0.874005360 -3.0912998406 -0.2744946030
## [62,] 1.709058108 0.83649642 1.602551167 -1.5174852564 0.0470183441
## [63,] -0.012262270 1.25914400 1.779585217 -1.2505752226 -0.0611418366
## [64,] -1.827944810 1.90800383 0.005293848 0.8946565543 0.0366697373
## [65,] 0.572919811 1.90577501 -0.676769930 -2.1054805416 0.4774320067
## [66,] -0.789244791 0.75659127 -0.572580565 -0.5541012381 0.2292950887
## [67,] -2.014349238 1.86686522 2.023991089 1.4233673830 -0.7164993234
## [68,] -0.142877938 2.41893339 1.066506203 0.0393480459 -0.4761304712
## [69,] 0.749393715 0.22457552 0.706161729 -2.5840378504 0.0231580473
## [70,] -1.735430290 1.38709532 1.232125446 0.0429697814 4.4364724920
## [71,] 1.472147656 0.88973874 0.628170741 -0.9767367476 1.1131030281
## [72,] -1.487780934 0.94526061 -1.948340937 0.0977860970 -0.6012808281
## [73,] 0.692014768 1.06386229 -0.079639585 -0.1550748596 -0.2033526420
## [74,] -2.292988910 -0.27358675 -3.367318406 -0.2951990697 2.3365157106
## [75,] -1.629534655 1.27379658 -0.458893645 0.5571709203 1.0990547206
## [76,] 0.826667392 2.44082053 1.559305570 -0.6612385100 0.8440438939
## [77,] -0.299586657 2.14501373 2.441851283 -0.0049350335 0.2551069248
## [78,] 1.357349276 1.38643530 0.227660494 -0.5636538362 0.9770814485
## [79,] -1.092965398 0.76049755 1.179046816 -0.1108679886 2.9193995414
## [80,] -0.318321791 1.02188781 -1.789772178 0.8905992971 -0.4187367854
## [81,] -0.669369362 3.36104386 0.355699086 -0.2904468514 0.0829047192
## [82,] -0.921511435 1.44104161 0.361149182 0.2892456616 -0.2669378978
## [83,] 0.466177014 2.37706017 -1.331385398 -1.2403044957 -0.6944024953
## [84,] 2.345799530 0.09985828 -0.470925908 0.3011720470 -1.4601432075
## [85,] -0.716202927 1.46398422 -0.609624740 0.8858952722 0.8528328270
## [86,] -0.696331774 2.01654573 0.253347696 -0.6526096061 0.5329081241
## [87,] 0.762423688 2.23121016 -0.770097379 -1.0504000997 -0.0129179547
## [88,] 0.526763293 2.36901453 -2.300558102 -1.1289412214 -0.2076102023
## [89,] 1.034935645 1.80278255 -0.955565596 -0.5559240661 -0.6826831004
## [90,] 0.519957513 2.65290035 -0.846122506 -0.3342281562 -1.2758223296
## [91,] 1.249832965 2.11877956 0.048664596 -0.7154600389 -0.7806202456
## [92,] 1.456600366 1.85446817 -0.777742334 -0.7494541293 -0.3732225821
## [93,] 1.786207616 1.56474926 0.090606491 -0.8470575623 -1.0369338318
## [94,] -0.651466573 2.30189958 -0.115233376 1.2876361057 -0.0542681006
## [95,] -0.833793070 2.21131104 -0.143248503 0.5972760582 0.8929325984
## [96,] -2.254248359 -0.18376798 -0.789480800 0.1107719397 4.0663648536
## [97,] 0.553910314 0.36908618 -1.305556225 -0.4963563021 3.3841378308
## [98,] -0.912422670 2.55243922 1.082317859 0.3189957414 -0.0981641925
## [99,] -2.015298555 1.41622541 0.227409987 1.0617973221 -0.1452220471
## [100,] -1.261867189 2.15241081 -0.748018962 1.0980510341 -0.8215622229
## [101,] -0.699459195 2.36554300 1.562836762 0.1625605281 0.6465004756
## [102,] 0.529376478 2.28889834 1.494953851 -0.2444700318 0.3501542988
## [103,] 0.175661199 1.16151354 -1.000937507 0.6641368609 0.0448806635
## [104,] 0.640933972 2.67474439 0.762854448 0.4879971317 0.0251332267
## [105,] -0.336756194 2.09049963 0.470161381 0.3716630303 -0.3721102369
## [106,] 1.632606159 1.72150808 -0.942839902 -0.1129215983 -1.1715785634
## [107,] 0.357763434 2.16471222 0.480162069 0.2664561545 -0.5471626790
## [108,] 1.508862423 1.35952123 -0.285205159 -0.2225251768 -0.5973127479
## [109,] -0.030011598 2.29802529 0.461615311 1.0126145072 0.2047521677
## [110,] -1.405437791 1.44902406 -1.776215153 0.8067413279 0.3142213345
## [111,] -1.214817581 1.40423165 -0.141470234 3.9709574525 1.3886533397
## [112,] 0.287503606 1.92579398 -0.078534098 0.9184270265 -0.0503862244
## [113,] 1.192733062 0.76827541 -1.992431363 -1.9505827082 -0.4048226953
## [114,] 0.450347812 2.26461884 -1.058193872 -0.8227905444 0.0084270389
## [115,] 0.470511600 1.93592019 -1.319756633 -0.2720226700 -0.7938730928
## [116,] -0.422208091 3.85811034 -1.340820048 -0.9791292285 -0.4907136803
## [117,] 0.263632851 2.81397819 0.301622915 0.5286856804 0.2322549091
## [118,] 0.137071803 1.92302889 -0.688550173 0.0008419067 1.0905968925
## [119,] 2.244146166 1.26575475 1.899538915 0.5186917999 -0.9440158700
## [120,] 0.529252028 2.21815964 0.355418409 1.2772205306 -0.2719341234
## [121,] -0.639483447 1.40036246 -1.123135333 1.3102893198 0.1558250277
## [122,] -1.181035347 -0.26022334 -5.331659333 0.4232295913 0.3503147235
## [123,] 1.103828179 0.66761374 -3.000997182 1.0463971104 -0.2082659651
## [124,] 0.457357792 0.61814477 -0.482109421 3.3300635245 -1.0124024926
## [125,] -0.843727170 1.43506066 -1.478597872 3.8010786747 -0.4672855010
## [126,] 0.116208906 2.10396851 -0.433730192 0.9370399364 -0.5706199849
## [127,] 0.007066766 1.26195130 -0.686109852 1.2117517948 -0.5507040746
## [128,] 1.491102408 1.21225981 -3.350613092 -0.4045531092 -0.5827758165
## [129,] 0.477255414 1.93482045 -1.292892678 0.6692306399 -0.1918360272
## [130,] 1.659463471 1.15593073 -0.779240086 1.1203010811 -1.1076570698
## [131,] 1.773941467 -0.17183005 1.175553358 -0.8066887624 2.6710636154
## [132,] 2.734206054 -0.36981404 0.721605538 0.0090219131 1.3148085834
## [133,] 3.245142808 -0.25683895 0.167311462 -0.1349493514 1.1336306922
## [134,] 2.523248571 -0.36495915 0.451519908 0.4463207772 1.5845266541
## [135,] 2.705392785 0.46256928 1.098523718 -0.9732550533 -0.6214219049
## [136,] 3.339568060 -0.34459011 1.096809718 -0.8707710846 -0.4653633175
## [137,] 4.105585600 -0.14157372 -0.219600186 -0.2617053616 -0.5717873043
## [138,] 4.132471237 -0.64539266 -1.705885922 0.2423082453 -0.8599124042
## [139,] 3.356457341 -0.33945309 1.024956287 -0.3781338207 -1.0568608727
## [140,] 2.705046169 -0.28665576 -1.238069126 -0.8170712107 -0.1988655388
## [141,] 3.063004861 -0.27901886 -0.607095387 -1.0343148309 -0.3775463093
## [142,] 2.618758258 -0.36719705 0.969247208 -0.4623116185 -0.2649908488
## [143,] 3.251225399 -0.47973752 -0.943208733 -1.2210394810 -0.4088805064
## [144,] 2.696440656 -0.47611678 0.252649495 0.4100798642 -0.9009926235
## [145,] 2.583559833 -1.15424388 1.241122061 0.7074794712 1.4999146288
## [146,] 2.945701626 -0.55628229 0.853732986 0.3764587661 0.4772543183
## [147,] 4.447404469 -0.63369144 1.455803574 0.7936772470 -0.9177679323
## [148,] 3.818478101 -1.25877875 0.111535135 0.7844840132 -0.8996515477
## [149,] 3.124835228 -1.56024487 0.471405998 0.5711314663 -0.3545820071
## [150,] 3.225615029 -2.02959917 0.494455986 0.7943659978 1.2372108549
## [151,] 2.704934424 -2.34725826 -0.437160957 0.5260405066 2.1799516027
## [152,] 2.922695870 -2.03623954 0.310676967 0.8992601375 1.7741733763
## [153,] 2.244243506 -1.52365809 -1.359923625 0.3763904736 1.9010819150
## [154,] 3.088807178 -2.12748039 0.961988851 0.6150367169 -0.4799689521
## [155,] 3.068400079 -0.40365232 1.186977880 -0.4202871571 0.7767855032
## [156,] 3.845311076 -1.78704838 0.094754987 1.0014256800 -0.9929652397
## [157,] 3.199363404 -1.91343033 0.780424797 1.1448242335 -0.8605794321
## [158,] 3.648203029 -1.29891673 -1.596585827 -0.6226842135 -0.4871611758
## [159,] 1.548613374 -3.50919410 -1.158329264 1.0054843213 -0.6143268621
## [160,] 2.052494053 -2.40077381 -0.548025852 0.7489594810 -0.7405670611
## [161,] 3.428876889 -0.72848827 0.091211835 0.8394013061 -0.6362868496
## [162,] 2.577218124 -1.16803350 0.101493698 -1.2012463379 0.0178686047
## [163,] 3.135612031 -0.54749143 -0.801213829 -0.9623182516 -0.0609850333
## [164,] 2.917065291 -0.69070844 0.882697528 -0.1303817871 0.7208687878
## [165,] 3.252651435 -1.54423447 0.981033103 -0.0392067762 -0.2891452141
## [166,] 3.766961021 -0.86985778 0.465819479 0.3126326238 -0.8957322714
## [167,] 2.766834344 -2.58142276 -0.427200494 -0.0081609314 0.5630765673
## [168,] 3.233494876 -1.26428151 1.210301113 0.2395309073 -0.2911058026
## [169,] 2.556532083 -2.06907266 -0.761927237 -0.2060270681 0.5619280216
## [170,] 2.740997451 -2.57781035 -1.414277551 0.8070590823 0.8625966388
## [171,] 3.481375653 0.25873035 0.845357270 -0.1243268311 0.5474030675
## [172,] 3.918081965 -0.83503051 1.336577475 -0.2311936957 -0.3968441849
## [173,] 2.807376194 -2.18317766 0.916342551 -0.0809192597 -0.5584224011
## [174,] 3.617790848 -2.20040992 0.342700950 0.7495901505 -1.0012845827
## [175,] 2.934451479 -1.74733418 -0.206896115 0.3982573193 0.1537892027
## [176,] 3.018756881 -2.74828765 0.938156609 0.6060488662 1.1249629591
## [177,] 2.747471377 -2.28733179 0.548925224 -0.3904689551 1.0640813934
## [178,] 3.486500654 -2.75284255 -1.010301210 0.3486468140 -1.0023088794
## PC6 PC7 PC8 PC9 PC10
## [1,] -0.299870285 0.572261286 -0.055480771 -0.457474579 1.062572157
## [2,] -0.881821897 -0.029632889 -1.007529774 0.218190602 -0.020125260
## [3,] 0.467522784 0.486931824 0.268200489 1.219329902 -0.105950252
## [4,] 0.261877693 -0.397243535 -0.617102916 -0.114335795 0.107368253
## [5,] -0.592091911 0.446615701 -0.433713850 -0.260812021 0.112118049
## [6,] 0.257549435 0.377511025 -0.365793608 0.044785952 -0.217353076
## [7,] -0.461318788 -0.024690576 0.349679028 0.591076796 0.776935402
## [8,] -1.385078298 -0.100285359 -0.212688006 -0.060780781 0.622593999
## [9,] 0.014200394 0.084395484 0.526326337 -0.531269228 0.327330764
## [10,] 0.296824392 -0.861406406 -0.159662457 -0.171674223 0.241558013
## [11,] -0.039608393 0.188595988 1.225008970 0.449282832 -0.377774162
## [12,] -0.402839920 -0.492162831 0.952768897 0.563402415 0.148380877
## [13,] -0.019228886 -0.283919623 0.439162759 0.830010491 -0.304196708
## [14,] 1.007162809 1.453011942 0.439585290 -0.099983560 -0.314810258
## [15,] 0.999317750 0.996343630 0.438403302 0.635605691 -0.669856197
## [16,] -0.242466994 -0.247455297 -0.046570534 0.182063406 -0.894553695
## [17,] -0.058218077 0.103759439 0.386446567 0.004404340 0.099593022
## [18,] 0.416688871 0.119269231 -0.108343550 -0.385808700 -0.200898637
## [19,] 0.628974362 -0.073847345 0.089121714 0.181315477 -0.946945281
## [20,] -1.539171921 -0.192752218 -0.563881465 -0.111290263 -0.122468282
## [21,] -0.209642356 0.259951993 -0.146381463 -1.194804578 0.666103870
## [22,] -1.428156526 0.236704365 0.070224246 0.588239544 -0.146026814
## [23,] -0.902334794 -0.232102279 0.087016816 -0.005507423 0.723118875
## [24,] -0.718269083 -0.719862872 -0.239715487 0.749834806 0.269907782
## [25,] -0.794752935 -0.697934878 0.323603338 0.060240223 0.666198811
## [26,] -0.402163166 0.489990098 -0.138639518 0.062332499 0.566423687
## [27,] -0.422939777 -0.506795823 -0.939145103 0.731707565 0.182778638
## [28,] -0.602774581 -0.392270162 0.176860964 0.820291496 0.159014454
## [29,] -0.431454399 0.031381896 0.124065944 -0.492584270 0.040062530
## [30,] -0.277472234 -0.189244445 0.447606181 0.045794331 0.791702150
## [31,] 0.713866790 -0.377166887 1.021001240 0.558666432 -0.335855112
## [32,] 0.240108848 -0.518865768 0.491799407 0.766010043 -0.354709984
## [33,] -0.057690245 0.964875254 0.492352381 -0.040736907 0.248663860
## [34,] -0.284540201 0.927744034 -0.458168965 -0.734559984 0.197296382
## [35,] -0.735179399 -0.269822758 0.187373550 0.478502945 0.163724167
## [36,] -0.168560672 -0.650042123 0.315747552 -0.039767477 0.467137963
## [37,] -0.605385994 -0.111631358 -0.964782601 0.224498853 -0.251669302
## [38,] -0.391546036 -0.421949027 -0.020009462 0.823976189 -0.413793805
## [39,] -0.422070033 -0.051264914 0.009292604 0.259222982 -0.267618584
## [40,] -1.820501661 0.854134222 -0.708090247 -0.767926504 0.142661063
## [41,] 0.557519813 0.635870786 -0.716917056 -0.682317590 0.567804171
## [42,] -1.462007047 -0.046930500 0.290852577 0.350428554 -0.029398059
## [43,] -0.648223001 -1.086440075 -0.915741480 0.148875618 0.067211121
## [44,] -1.353471972 0.547714763 -0.593041703 -0.209475363 0.132207438
## [45,] 0.179614653 0.099556554 -0.673239795 -0.136071784 0.563641065
## [46,] -2.002738367 0.026135568 -0.223449007 -0.520419519 0.292636123
## [47,] -0.986220329 0.622210040 0.311099018 -0.521350067 -0.078922870
## [48,] 0.282434224 -0.433255121 -0.161210010 -0.292929087 0.393963317
## [49,] 0.491698285 0.282145637 0.764686971 0.014928583 0.140983927
## [50,] 0.804611992 0.059801284 0.245886837 -0.167586320 -0.174955285
## [51,] 1.152980538 0.377938496 0.402199838 1.159493377 -0.752534627
## [52,] 0.002237947 -0.398147944 1.041942571 0.991105135 -0.128895270
## [53,] 0.346676846 0.128751812 -1.343395872 -0.632756760 -0.456314587
## [54,] -0.147123569 0.419644572 -0.380338536 0.214333251 -0.226437007
## [55,] -0.493709673 -0.402382255 -0.325472170 -0.122744339 0.570035104
## [56,] 0.391682959 -0.267737225 0.468863523 0.298031375 0.252272895
## [57,] 0.055297521 -0.017590387 -0.339556051 -0.814501457 0.572953596
## [58,] -0.136972484 -0.249822377 -0.616864231 0.668092680 -0.662061472
## [59,] 0.417084706 -0.802469065 -0.649233835 0.351605489 -0.283781567
## [60,] -0.426045638 -0.116133214 -0.643777735 -0.480556957 -0.327747691
## [61,] 0.152434953 1.025111713 -1.012077489 -0.479649414 -0.559187147
## [62,] 0.617836491 0.335287324 -0.973965627 -0.914826561 -0.200843029
## [63,] -0.346688437 -0.672415707 0.711002121 -1.245394687 -0.046255859
## [64,] 1.047242469 -1.064026946 -0.191200705 -0.962492718 -1.286082765
## [65,] -0.099139879 0.451292302 0.058149576 -0.555664285 -0.921260198
## [66,] 1.122951649 0.250557967 -0.082908981 0.403961376 -0.803744786
## [67,] 1.566971920 -0.294076237 0.247879885 -0.909421176 -0.239356872
## [68,] 0.162764044 -1.376565218 0.241298141 -0.370764405 0.173796801
## [69,] -0.154940168 0.303996953 -1.166920857 -1.073582349 0.226555951
## [70,] -0.020812920 1.529314796 1.038548787 -0.238237571 0.480829796
## [71,] -0.007906407 0.241511226 0.580060343 1.362172495 0.563274763
## [72,] 0.167019457 -1.605779104 1.653139371 -1.291988690 -0.465249897
## [73,] -0.400096324 -1.635415547 1.041424925 -0.666541885 0.692742514
## [74,] -0.221683253 -0.524455802 1.235259839 -1.178266466 -0.015495355
## [75,] 0.210301280 -1.380794933 -0.501109797 0.249796261 -0.512163143
## [76,] -0.037841594 0.452135774 -0.064278270 0.079934270 -0.853522616
## [77,] 0.659979492 -0.614030618 0.765678291 -0.763203373 -0.173822324
## [78,] -1.119885983 0.906745294 -0.864196412 0.046133721 0.068471141
## [79,] 1.124975428 2.183742024 0.115854270 0.323982050 0.563229856
## [80,] -0.666877766 1.091382416 0.441837126 -0.972414783 -0.465118774
## [81,] 0.441263880 -0.441492971 0.315798032 -0.819602858 -0.517733728
## [82,] 0.092873799 -0.505754397 0.630263080 0.213160864 -0.235705459
## [83,] 0.367243804 -0.667302164 0.936287817 0.510881363 -0.250567980
## [84,] -0.007745477 1.204077032 0.446704255 0.003628677 0.387227503
## [85,] 0.778548754 -0.711556746 -0.671630405 1.349153086 0.529074145
## [86,] -0.019103207 -0.316900461 0.198166934 -0.541885368 0.164452986
## [87,] 0.383781568 0.275456599 1.050911630 0.066088474 -0.380674145
## [88,] -0.074222932 -0.531932890 0.862114993 0.389886741 -0.240088486
## [89,] 0.069969911 0.104734033 -0.367706999 0.929707234 0.074021188
## [90,] 0.269446742 -0.773912538 0.401670401 0.470067392 0.524591106
## [91,] 0.458952715 0.805663875 0.066725425 0.693779124 0.112172586
## [92,] 0.657109729 0.232103869 0.348562110 0.655799223 0.610101624
## [93,] 0.852424202 0.640588107 0.452065413 0.441032036 0.851110778
## [94,] -0.510850111 0.142241999 0.253232245 -0.250147883 -0.437058214
## [95,] -0.332802174 -0.802314932 -0.816945619 -0.468894752 -1.296102741
## [96,] 0.804762977 2.772275622 0.528726175 -0.055577697 0.495578068
## [97,] -1.162363604 -0.322166694 0.026384920 1.064893447 -0.076546291
## [98,] 0.539790016 0.007780287 0.027061409 -0.382463504 -0.711865891
## [99,] 1.295585625 -0.827816132 -0.688090349 -0.525616367 -0.948048335
## [100,] 0.664255581 2.062594865 0.700720753 -0.462845962 -1.224916825
## [101,] -0.272607347 0.229776298 0.440103887 -0.286942278 -0.634176934
## [102,] -0.188111924 -0.404477048 0.747974521 0.270073269 0.694974056
## [103,] -0.694597119 -0.534942282 -0.955953573 -0.268342879 0.574269296
## [104,] 0.349604671 0.017960924 -0.460198881 -0.205381272 0.004814913
## [105,] -0.128247770 -0.491282837 0.401936874 -0.060042242 0.664299512
## [106,] -0.021463123 1.110390043 -0.456212863 -0.407054197 1.589832136
## [107,] 0.217931676 -0.213531952 0.231676566 0.502014428 0.578995987
## [108,] 0.490118164 0.013878010 0.581196831 0.424261266 1.063344598
## [109,] 0.953622220 0.337111953 -0.350922915 -0.313886097 0.968973936
## [110,] 0.833678846 -0.216250262 -0.660806174 1.188738667 -0.106671906
## [111,] 0.869876391 1.867223487 -0.092144183 0.556548663 -0.254149371
## [112,] -0.675978350 -0.890760418 -0.262327201 -0.607569727 -0.014582555
## [113,] -0.459360014 1.070483542 -0.820079232 0.484157400 -0.705740071
## [114,] 1.068671694 -0.409195560 -0.768158284 0.323004255 -0.539649835
## [115,] 0.139582202 -0.985294012 -0.955376154 -0.335970418 0.395022008
## [116,] 1.134455209 1.408743898 0.764301338 -0.228687345 -1.374550261
## [117,] -0.017594189 -0.533075504 0.082267433 0.363978399 0.783405519
## [118,] -0.107969633 0.014165692 0.350202500 -0.620542951 0.701332231
## [119,] -1.012182232 0.221346552 -0.673651627 -0.022500113 0.303550184
## [120,] -0.779585278 0.935880029 0.166660018 0.554142375 0.302178047
## [121,] 0.035005832 -0.177116743 -1.409976218 0.550246418 -0.065026486
## [122,] 0.867563096 -0.531938184 -1.753871961 -0.528495879 -0.176094268
## [123,] -1.386416372 0.537495188 0.255101783 -0.212147143 0.267127899
## [124,] -1.741196003 0.649253551 0.296058820 -0.508958482 -0.111050166
## [125,] -0.325140690 0.198072312 -0.128872301 0.744106290 -0.197302108
## [126,] -0.078218996 -0.532475389 -0.835107239 -0.405988737 0.355282140
## [127,] 0.971757715 -0.702172430 -1.022395294 -0.362895746 0.624395259
## [128,] 0.780342449 0.247529576 0.032374300 0.349237454 0.348050849
## [129,] 0.615942328 -0.319954619 0.240216948 -0.150546589 0.812259133
## [130,] -1.145360337 0.268484127 -0.288260927 0.699614475 -0.218797244
## [131,] -0.233296306 -0.822748941 -0.270825240 0.117696562 -0.111673138
## [132,] -0.769022312 -0.972457196 0.145402606 0.259088952 -0.520070917
## [133,] -0.135433308 -1.566956914 0.509433557 0.460080354 0.043463075
## [134,] -1.098983957 -1.081482886 0.321728269 0.177571812 -1.118543135
## [135,] 1.587356834 0.431605353 -0.856516337 0.279475653 0.163671354
## [136,] 0.871611928 0.774390337 -0.750111358 0.072210540 0.095646352
## [137,] -1.196250812 0.797349605 -0.194230793 0.981976224 -0.797400673
## [138,] -0.992752769 1.372691931 0.120990630 -0.121299166 -0.648765982
## [139,] -0.266348943 0.694251343 0.211352502 -0.570347789 0.146048547
## [140,] -0.238758684 -0.013262033 -0.239908574 -0.699259803 -0.147972278
## [141,] -0.578637031 -0.084018697 -0.406255917 0.140658407 0.488483743
## [142,] -0.688126304 -1.069068234 0.160626257 0.297424568 0.652937067
## [143,] -1.003947423 -0.383306845 0.395058462 -0.550807850 0.230617343
## [144,] -1.421013697 0.766178113 0.518021704 -0.785319300 -0.581294054
## [145,] -0.559885466 0.014992359 -0.311997654 0.878194826 -0.489331282
## [146,] -0.588365612 0.546828758 0.378555713 0.431583939 0.579176676
## [147,] -1.672581796 -0.200195932 0.773904817 -0.054542092 0.052310558
## [148,] -0.611576644 -0.228231175 -0.422021386 0.334420759 -0.285750708
## [149,] 0.572200837 -0.393357764 -0.137425098 -0.024729789 0.040293356
## [150,] -0.059912699 -0.327684836 -0.069577718 -0.104808630 -0.421599891
## [151,] -0.129099827 -1.209609951 0.433764201 -0.231316034 -0.156971573
## [152,] 0.762767169 -1.463279229 -0.350782349 0.218685543 -0.244777971
## [153,] 0.885728019 -1.417611318 0.050191863 -0.317062571 -0.091888033
## [154,] 1.678664535 1.180954925 -0.407803539 0.069876758 0.134034753
## [155,] 1.740914151 0.222921889 -0.483352271 0.252721846 0.876427229
## [156,] 0.031439163 1.436428765 0.198319025 0.141832818 -0.212170004
## [157,] 0.417062662 0.251330066 0.148947138 -0.344385868 -0.029132190
## [158,] 0.828456056 0.168790648 -0.150173681 0.481753622 0.176008617
## [159,] 3.463744672 -0.383205926 0.493062002 -0.740431949 0.627922147
## [160,] 3.080319213 -0.470653621 -0.181713746 -0.108836896 0.168212900
## [161,] 0.371598265 -0.028728410 -1.079109928 -0.027816576 -0.663704783
## [162,] -0.615301793 0.404570107 0.247608396 -0.749011318 -0.296705226
## [163,] -0.250060137 0.810385176 -0.198921228 -0.370047265 0.182906892
## [164,] -0.807706928 0.214306214 -0.249062536 0.289121877 0.040938532
## [165,] 0.604592347 -0.942596523 0.768419955 -0.248050153 0.176581424
## [166,] -0.448054067 0.465340370 1.102160861 -0.420916454 0.171364472
## [167,] 0.552434551 0.074718730 0.701278607 -0.287352068 -0.737215297
## [168,] 0.438950275 -0.606983692 -0.011848436 0.379678521 -0.670451615
## [169,] 0.689037383 -0.699519890 0.895002792 0.212978726 0.218715724
## [170,] -1.014221257 -1.005322879 0.336287067 -0.164991988 -0.706859139
## [171,] -0.495041075 -0.296548339 -0.612000878 0.572127062 -0.022182487
## [172,] 0.893632156 -0.919905217 -0.724722902 0.038781204 0.067470540
## [173,] 0.863023729 -0.786661504 0.292329710 -0.244013326 0.340934411
## [174,] -1.139939246 0.841082264 0.206044724 -0.125065905 -0.391514872
## [175,] -0.062289046 0.139553613 0.563996559 0.055185648 -0.235602201
## [176,] 0.005275476 0.730964144 -0.052396746 -0.027802925 -0.212150899
## [177,] 1.009714032 0.753298285 -0.425312224 0.048646933 0.478443539
## [178,] 0.376162259 0.015263586 0.324087919 -0.717958122 0.079682974
## PC11 PC12 PC13 PC14
## [1,] -0.419311078 -0.551372411 -0.302125915 -2.002924e-01
## [2,] -0.129653891 -0.393860128 -0.146232803 -1.260468e-01
## [3,] -0.278289088 -0.001892654 0.021218163 5.559469e-02
## [4,] 0.771688951 0.230279641 -0.499866743 -1.984687e-02
## [5,] -0.536418018 0.226048523 0.273337857 5.160422e-01
## [6,] 0.406638322 0.375655765 -0.017393570 -2.388884e-01
## [7,] -0.401144507 -0.159682213 -0.573752772 -1.571678e-01
## [8,] 0.319654339 -0.389910627 -0.307340232 -1.162721e-01
## [9,] -0.506734442 0.634450713 0.101395098 -7.208372e-02
## [10,] 0.015045667 -0.548060428 0.021433151 1.047683e-01
## [11,] 0.730295547 0.078689862 -0.034377295 -2.540316e-01
## [12,] 0.047574990 0.162718688 0.125702870 -7.859019e-03
## [13,] 0.057200416 0.087292083 -0.045667483 -4.573412e-03
## [14,] -1.227597359 0.764258779 -0.081607879 -4.556787e-01
## [15,] -0.309962009 0.131286792 -0.394273611 -3.591457e-01
## [16,] 0.083663937 -0.492127392 0.052444968 1.335718e-01
## [17,] 0.073015643 0.506466363 0.375842629 -3.878994e-02
## [18,] 0.285640056 0.279678569 0.724870242 2.425497e-06
## [19,] 0.899795909 -0.160189018 0.313333365 -4.932805e-01
## [20,] -0.837910776 -0.284449852 0.126957345 9.719401e-02
## [21,] -0.457918747 -0.470738666 0.040820927 9.170078e-02
## [22,] -0.659972141 -0.677887989 -0.013051006 5.296748e-01
## [23,] -0.059141553 -0.493242752 -0.304846085 -2.229935e-01
## [24,] -0.012858421 -0.490548192 -0.321335240 2.417081e-01
## [25,] -0.359108507 -0.319646123 -0.223217249 1.703698e-01
## [26,] -0.431750853 0.112615461 0.139230799 3.619403e-01
## [27,] -0.011872668 0.199844720 -0.168952586 -1.024942e-01
## [28,] 0.871493026 0.377734736 0.100082464 2.019070e-01
## [29,] -0.535327145 -0.052133061 -0.170344007 1.219043e-01
## [30,] -0.097574341 -0.145303795 -0.434683405 2.525539e-01
## [31,] 0.362800416 0.615221055 0.237118399 1.577463e-01
## [32,] 1.065540864 0.003289926 0.301468243 -5.452623e-02
## [33,] -0.220080286 0.208330577 0.288215349 2.020110e-02
## [34,] 0.623281390 -0.107013907 0.072545643 2.574100e-02
## [35,] -0.171299383 0.221919526 0.182702397 1.351032e-01
## [36,] 0.199199423 -0.225959650 0.286488201 1.880307e-01
## [37,] -1.100732106 0.148237214 0.042613416 2.120576e-01
## [38,] -0.006331597 0.408361693 0.229178312 3.305682e-01
## [39,] 0.270281671 0.189274912 0.459414350 9.112164e-02
## [40,] -1.189357198 -0.171110587 -0.144559855 1.339277e-01
## [41,] -0.282244193 -0.190271797 0.233366862 1.918090e-01
## [42,] 0.814467408 0.087220201 0.641617258 1.756224e-01
## [43,] -0.426057495 0.176358945 -0.252737574 -2.239559e-01
## [44,] -0.085928789 0.065307529 0.590079867 4.745373e-01
## [45,] 0.472678263 -0.049496470 0.272167229 2.622616e-01
## [46,] 0.593112800 -0.042583331 0.174619061 1.756565e-01
## [47,] 0.047420763 0.199562466 -0.179865338 2.124277e-02
## [48,] 0.122841972 0.089854603 0.249221674 2.914183e-02
## [49,] -0.113865530 0.327373033 0.365849328 2.690395e-01
## [50,] 0.528660258 -0.725444392 0.643750457 -1.105953e-01
## [51,] -0.381210855 -0.403046087 0.226595035 1.322432e-01
## [52,] -0.535677231 -0.323372039 -0.208294720 -1.343351e-01
## [53,] 0.284457857 0.086582358 -0.196510172 -7.133751e-02
## [54,] 0.311878507 -0.003982141 -0.180983459 6.228677e-02
## [55,] 0.177275244 -0.172555036 0.355557584 2.725616e-02
## [56,] 0.328030058 0.175971344 0.078939025 5.076298e-01
## [57,] -0.040280424 0.055246235 -0.024195628 2.467617e-01
## [58,] 0.076562562 0.127011403 0.103432656 -2.505831e-02
## [59,] 0.254164895 0.559169145 0.156378044 -5.582207e-02
## [60,] 0.350305311 0.603278404 -0.206599427 5.056228e-01
## [61,] 0.132177226 0.305758267 0.020830388 1.761041e-01
## [62,] 0.116293816 0.105863349 0.749899516 3.904870e-01
## [63,] 0.237305764 0.145212476 0.151569112 -1.452982e-01
## [64,] -0.030018263 0.234195918 -0.236102848 1.325675e-01
## [65,] -0.911150675 -0.281427947 0.199054287 1.158830e-01
## [66,] -0.819279698 0.203763724 0.022064127 -2.289588e-01
## [67,] -0.164709679 -0.180129323 -0.054108573 -3.779094e-01
## [68,] 0.480054364 -1.096825023 -0.021278088 -4.375724e-02
## [69,] 0.236190868 0.992214650 -0.327381959 6.819688e-02
## [70,] 0.242606717 -0.728809158 -0.473888191 1.538005e-01
## [71,] 0.241618888 0.458603326 0.427684364 4.179757e-02
## [72,] -0.756048843 0.459445913 -0.368138728 -5.723547e-02
## [73,] 0.095261942 0.183845273 0.356476811 3.109822e-02
## [74,] 1.772533874 0.101315890 -0.399317651 -2.306761e-01
## [75,] 1.077114936 0.446710474 -1.038428157 2.730546e-01
## [76,] -0.205554469 -0.581635924 0.559317234 1.952610e-01
## [77,] -0.406809164 -0.209575849 0.402879583 1.198674e-02
## [78,] 0.061699007 -0.339973712 0.206429593 1.115953e-01
## [79,] -0.367792564 0.182633641 -0.024246874 -1.886460e-01
## [80,] 0.247070609 -0.011953181 -0.069752730 -6.539942e-02
## [81,] -0.142499750 -0.481884016 -0.062903982 3.674748e-02
## [82,] -0.128074378 -0.366161160 -0.114945228 -4.351062e-01
## [83,] 0.127560537 0.038184161 -0.268338423 1.662357e-01
## [84,] 0.024478939 0.213787961 0.844659732 1.690583e-01
## [85,] -1.221059381 0.194746144 -0.558334380 -6.963697e-02
## [86,] -0.591859496 -0.278389371 -0.424158370 -1.083328e-01
## [87,] -0.041538759 0.100032604 0.349361065 1.566881e-01
## [88,] 0.315997649 -0.791118721 -0.220476254 2.012243e-01
## [89,] 0.333722517 -0.155749721 -0.054712430 -1.068537e-02
## [90,] 0.641759217 0.062202450 -0.465277123 8.114360e-02
## [91,] -0.662568071 0.180643104 0.141211259 3.219185e-02
## [92,] -0.395682822 -0.441060093 0.144818263 2.666972e-01
## [93,] -0.423495435 0.466207546 0.547647968 -1.724250e-02
## [94,] -0.799089293 -0.262314160 -0.395862677 3.350125e-02
## [95,] -0.202275478 -0.215710790 -0.439524441 3.985851e-01
## [96,] 0.256542532 0.444304565 -0.355866473 -2.898951e-01
## [97,] -0.672506479 0.213466367 -0.246594462 5.217980e-01
## [98,] -0.410326780 0.067145619 -0.071397273 -1.339747e-01
## [99,] 0.472993931 0.586894835 0.121222927 -4.529788e-01
## [100,] -0.643817539 0.082434301 -0.103521757 -2.431198e-01
## [101,] 0.952397591 -0.635434538 0.121534194 -2.221077e-01
## [102,] -0.015203004 -0.123583738 0.073240988 -5.586943e-02
## [103,] -0.004511193 -0.057417032 -0.337865213 -1.067782e-02
## [104,] 0.664312646 0.572003354 0.036576730 4.051316e-01
## [105,] 0.744810915 -0.521831614 -0.348668065 -2.053581e-01
## [106,] 0.044183639 -0.550362863 0.395095961 -2.728733e-01
## [107,] -0.258031047 -0.607801899 0.154653855 -2.980685e-01
## [108,] -0.245221885 0.236884290 0.666432356 -1.363482e-01
## [109,] -0.047971051 0.178652303 -0.012168260 8.601325e-02
## [110,] -0.568930079 0.214709604 -0.590549693 -3.752495e-01
## [111,] 0.735615066 0.623412010 -0.154137403 3.482463e-01
## [112,] 0.078660746 0.598382620 0.152477935 6.570078e-02
## [113,] -0.693680931 -0.706261547 0.247088968 -2.809547e-01
## [114,] -0.171999945 0.331719258 0.010882339 3.163300e-01
## [115,] 0.120499348 -0.021791075 -0.076245495 -4.318472e-02
## [116,] 0.258367532 -0.715929944 -0.097430826 1.623530e-01
## [117,] 0.496016154 -0.299920813 -0.226550067 7.692405e-02
## [118,] 0.006120640 0.015076562 0.317284786 -8.426638e-02
## [119,] -0.329134323 0.312377117 0.495320883 2.009219e-01
## [120,] 0.330767282 0.009152936 -0.199298377 -2.696511e-02
## [121,] 0.395898115 -0.150339289 -0.294362366 -2.394172e-01
## [122,] 0.133515816 -0.833373649 1.103369349 -1.132066e+00
## [123,] -0.026994082 0.005120869 0.205420551 5.730117e-02
## [124,] 0.189287442 0.364380598 0.322083196 -1.155165e-01
## [125,] -0.445389974 -0.036775275 -0.284518432 -8.953603e-02
## [126,] 0.393234211 -0.048844594 0.185347209 -2.304369e-01
## [127,] -0.015737509 0.574121421 0.557519936 -3.105152e-01
## [128,] 0.345844581 0.376844646 0.641545633 9.614070e-02
## [129,] 0.065074821 0.618061190 0.473370891 -1.030181e-01
## [130,] 0.416131234 0.262613021 0.204047808 1.432466e-01
## [131,] -0.535316955 1.017342492 -0.004143416 -5.768163e-01
## [132,] -0.561186334 0.397360179 0.310359004 -4.120753e-01
## [133,] -0.011876987 0.528773370 0.562615365 -2.920870e-01
## [134,] 0.031734286 0.694492749 0.188310957 -1.690039e-01
## [135,] 0.004553365 0.650194749 -0.678551873 -7.366263e-02
## [136,] 0.408949326 -0.171512710 -0.078553918 -2.142815e-01
## [137,] 0.193057550 0.571426289 -0.125759587 -1.806482e-01
## [138,] 0.426123667 0.071986575 -0.081820525 1.182596e-01
## [139,] 0.134417253 0.075983746 -0.313578833 -1.817526e-01
## [140,] 0.549011788 0.205129315 -0.849500737 1.019443e-01
## [141,] -0.379269652 -0.075808581 -0.803960373 -3.239036e-01
## [142,] 0.120758130 -0.260617991 -0.762385024 -4.431325e-01
## [143,] -0.335743473 0.231976084 -0.537088182 -2.253459e-01
## [144,] -0.078675173 0.268366949 -0.618158741 -2.223151e-01
## [145,] 0.498856957 -0.994842346 -0.089162844 -2.074232e-01
## [146,] 0.667585040 0.850996345 -0.308153976 -3.699405e-01
## [147,] -0.598613712 0.661897895 0.257795257 -1.194931e-01
## [148,] 0.222071461 -0.282816688 -0.149241323 5.824272e-02
## [149,] 0.178160518 0.156668455 -0.170975177 1.358834e-01
## [150,] -0.104942033 -0.332520457 0.877982107 -1.824441e-01
## [151,] -0.606316553 0.194454835 0.823806727 -2.312916e-01
## [152,] -0.437330170 -0.572723334 0.722739448 8.394095e-02
## [153,] -0.474682514 1.004743309 -0.004154291 2.747870e-01
## [154,] -0.120632383 -0.441409476 0.012539614 8.146901e-02
## [155,] 0.377347554 0.010717956 0.052854085 -3.828702e-02
## [156,] 0.571687574 0.006605533 0.065051116 7.556944e-02
## [157,] -0.665944154 -0.041839100 -0.093559981 1.227862e-01
## [158,] 1.326308401 -0.024421607 -0.198830040 1.073614e-01
## [159,] -0.278215538 -0.093309590 -0.585735387 4.790010e-01
## [160,] -0.364882734 -0.091226683 -0.588880011 4.926426e-01
## [161,] 0.449840196 0.115592440 -0.131176801 2.853592e-01
## [162,] -0.217844295 0.088372011 -0.658024359 -1.833743e-01
## [163,] 0.021446906 -0.327255509 -0.438853089 -1.887735e-01
## [164,] -0.196476193 0.158350184 -0.244613942 -3.790340e-01
## [165,] -0.080275816 -0.470908999 0.192106698 2.510633e-02
## [166,] -0.009415628 -0.117955601 0.088198638 -4.672457e-02
## [167,] -0.125549749 -0.788480062 0.131882983 1.760682e-01
## [168,] 0.060332382 -1.072554369 0.028098695 1.359398e-01
## [169,] -0.217910235 -0.156844681 -0.195987742 -3.888823e-02
## [170,] -0.169193338 -0.250893595 -0.263014837 2.081887e-01
## [171,] -0.187930939 -0.250201682 -0.138953326 -1.125676e-01
## [172,] -0.135547013 -0.795321881 0.226878455 2.174743e-01
## [173,] -0.598772128 -0.104632309 -0.306587295 7.278809e-03
## [174,] 0.136398554 -0.174315544 -0.198243688 -9.368622e-02
## [175,] 0.253570543 0.276738278 -0.184543121 2.420908e-02
## [176,] 0.501226372 -0.691386023 0.166565798 3.160658e-02
## [177,] 0.312903079 -0.343151836 -0.109206813 -1.025339e-01
## [178,] -0.237612114 0.189332048 -0.163628435 2.641713e-01
pca$rotation #Pregunta 14
## PC1 PC2 PC3 PC4 PC5
## class 0.393669533 -0.005690412 -0.001217953 0.12246373 0.15758395
## V1 -0.136325011 -0.484160868 0.207400812 -0.08191848 -0.25089415
## V2 0.222676383 -0.223590947 -0.088796064 0.46988824 -0.18860015
## V3 -0.002257932 -0.315855884 -0.626102363 -0.24984122 -0.09352360
## V4 0.224298489 0.011615737 -0.611989600 0.07199322 0.04656750
## V5 -0.124630159 -0.300551432 -0.130984580 -0.16321412 0.77833048
## V6 -0.359264042 -0.067119829 -0.146507749 0.19098521 -0.14466563
## V7 -0.390711715 0.001313454 -0.150962746 0.14461667 -0.11200553
## V8 0.267001203 -0.026988703 -0.169975512 -0.32801272 -0.43257916
## V9 -0.279062504 -0.041222563 -0.149879586 0.46275771 0.09158820
## V10 0.089318293 -0.529782740 0.137266298 0.07211248 -0.04626960
## V11 -0.276822650 0.277907354 -0.085328539 -0.43466618 -0.02986657
## V12 -0.350526181 0.162776250 -0.166204360 0.15672341 -0.14419358
## V13 -0.269515252 -0.366058862 0.126686846 -0.25579490 -0.08440794
## PC6 PC7 PC8 PC9 PC10 PC11
## class 0.20033864 -0.05938234 0.07179553 -0.162368819 -0.19899373 0.01444169
## V1 -0.13517139 -0.09269887 0.42154435 -0.450190708 0.31127983 -0.22154641
## V2 -0.59841948 0.37436980 0.08757556 -0.006025687 -0.32592413 0.06839251
## V3 -0.10799983 -0.16708856 -0.17208034 0.262494455 -0.12452347 -0.49452428
## V4 0.08811224 -0.26872469 0.41324857 -0.118633417 0.15716811 0.47461722
## V5 -0.14483831 0.32957951 -0.14881189 -0.252536278 0.12773363 0.07119731
## V6 0.14809748 -0.03789829 -0.36343884 -0.406373544 -0.30772263 0.29740957
## V7 0.06247252 -0.06773223 -0.17540500 -0.090919334 -0.14044000 -0.03219187
## V8 0.25868639 0.61111195 -0.23075135 -0.159122818 0.24054263 0.12200984
## V9 0.46627764 0.42292282 0.34373920 0.265786794 0.10869629 -0.23292405
## V10 0.42525454 -0.18613617 -0.04069617 -0.075264592 -0.21704255 0.01972448
## V11 -0.01565089 0.19204101 0.48362564 -0.212416815 -0.50966073 -0.06140493
## V12 -0.21770365 -0.07850980 -0.06865116 -0.084264837 0.45570504 0.06646166
## V13 -0.06656550 0.05420370 0.11146671 0.544905394 -0.04620802 0.55130818
## PC12 PC13 PC14
## class -0.01575769 -0.49224318 -0.669045280
## V1 0.26411262 -0.05610645 -0.090626055
## V2 -0.11921210 0.06675544 0.025225306
## V3 0.04502305 -0.19201787 0.001635816
## V4 0.06131271 0.20007784 0.095361066
## V5 -0.06116074 0.05829909 -0.022300745
## V6 0.30087591 -0.35952714 0.253037788
## V7 0.05001396 0.59834288 -0.601909165
## V8 -0.04266558 0.06403952 -0.082230935
## V9 0.09334264 -0.11013538 0.058641979
## V10 -0.59795428 0.15917751 0.178821145
## V11 -0.25774292 -0.04923091 0.022582562
## V12 -0.61109218 -0.32941979 -0.135092159
## V13 0.07268036 -0.17322892 -0.216043617
#ProporciĂ³n de la varianza
prop_varianza=pca$sdev^2/sum(pca$sdev^2)
prop_varianza # Pregunta 13
## [1] 0.395424860 0.178362589 0.103291016 0.066279845 0.062678751 0.048055596
## [7] 0.039557068 0.025002441 0.021038710 0.018736150 0.016132030 0.012056908
## [13] 0.009254584 0.004129451
library(NbClust)
cluster=NbClust::NbClust(wine, distance = "euclidean", min.nc = 2,max.nc=6, method = "complete", index = "all") #Pregunta 16 y 20

## *** : The Hubert index is a graphical method of determining the number of clusters.
## In the plot of Hubert index, we seek a significant knee that corresponds to a
## significant increase of the value of the measure i.e the significant peak in Hubert
## index second differences plot.
##

## *** : The D index is a graphical method of determining the number of clusters.
## In the plot of D index, we seek a significant knee (the significant peak in Dindex
## second differences plot) that corresponds to a significant increase of the value of
## the measure.
##
## *******************************************************************
## * Among all indices:
## * 9 proposed 2 as the best number of clusters
## * 8 proposed 3 as the best number of clusters
## * 1 proposed 4 as the best number of clusters
## * 3 proposed 6 as the best number of clusters
##
## ***** Conclusion *****
##
## * According to the majority rule, the best number of clusters is 2
##
##
## *******************************************************************
#NĂºmeros de cluster optimo
euc_dist<- dist(wine, method = "euclidean")
hc <- hclust(euc_dist, method = "complete")
complete_clusters <- cutree(hc, 2)
table(complete_clusters) #Pregunta 17
## complete_clusters
## 1 2
## 43 135