Analisis de Cluster con Motor 2 y batería 2
Carlos Garcia
Fecha de revisión: 05-09-2024
## CURRENT_A_CALC CURRENT_B_CALC CURRENT_C_CALC CURRENT_D_CALC
## Min. :-1.6582 Min. :-1.57122 Min. :-1.57162 Min. :-1.5730
## 1st Qu.:-0.7575 1st Qu.:-0.47563 1st Qu.:-0.47931 1st Qu.:-0.4683
## Median : 0.1341 Median : 0.03916 Median : 0.04138 Median : 0.0383
## Mean : 0.0000 Mean : 0.00000 Mean : 0.00000 Mean : 0.0000
## 3rd Qu.: 0.5890 3rd Qu.: 0.52944 3rd Qu.: 0.51867 3rd Qu.: 0.5226
## Max. : 8.9500 Max. : 3.48054 Max. : 4.86150 Max. : 3.7453
## POWER_A POWER_B POWER_C POWER_D
## Min. :-1.5675 Min. :-1.55790 Min. :-1.56338 Min. :-1.5623
## 1st Qu.:-0.6660 1st Qu.:-0.47439 1st Qu.:-0.47509 1st Qu.:-0.4775
## Median : 0.2355 Median : 0.03125 Median : 0.03279 Median : 0.0287
## Mean : 0.0000 Mean : 0.00000 Mean : 0.00000 Mean : 0.0000
## 3rd Qu.: 0.5359 3rd Qu.: 0.53689 3rd Qu.: 0.52252 3rd Qu.: 0.5349
## Max. : 7.4473 Max. : 3.46236 Max. : 4.85757 Max. : 3.7168
## TEMPERATURE_A TEMPERATURE_B TEMPERATURE_C TEMPERATURE_D
## Min. :-1.7403 Min. :-1.6648 Min. :-1.8814 Min. :-2.0403
## 1st Qu.:-0.5834 1st Qu.:-0.5920 1st Qu.:-0.5864 1st Qu.:-0.5860
## Median :-0.1278 Median :-0.1382 Median :-0.1252 Median :-0.1345
## Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
## 3rd Qu.: 0.2001 3rd Qu.: 0.3071 3rd Qu.: 0.1395 3rd Qu.: 0.1375
## Max. : 5.4599 Max. : 5.3226 Max. : 6.3879 Max. : 5.9941
## VOLTAGE_A VOLTAGE_B VOLTAGE_C VOLTAGE_D
## Min. :-2.89811 Min. :-3.15267 Min. :-3.40789 Min. :-3.57782
## 1st Qu.:-0.71016 1st Qu.:-0.70595 1st Qu.:-0.70708 1st Qu.:-0.70587
## Median : 0.03253 Median : 0.03549 Median : 0.03855 Median : 0.03688
## Mean : 0.00000 Mean : 0.00000 Mean : 0.00000 Mean : 0.00000
## 3rd Qu.: 0.67486 3rd Qu.: 0.67806 3rd Qu.: 0.67647 3rd Qu.: 0.67234
## Max. : 2.32486 Max. : 2.32569 Max. : 2.32512 Max. : 2.33114Procedemos con los Clúster
Comenzamos haciendo un estudio PCA
Uno de los temas clásicos de la estadistica multivariada es el análisis de componentes principales (ACP), creado por Lebart y Marinoe.
El objeto del ACP es de observar que tan correlacionadas están las variables, disminuyendo un conjunto p-dimensiones a uno de 2D y mirar que dimensiones del modelo concentran la mayor variabilidad. Ademas PCA tiene como objetivo reducir el número de dimensiones(componente de la varianza)
Matriz de correlaciones
## [1] "La matriz de correlaciones de las variables puras"## CURRENT_A_CALC CURRENT_B_CALC CURRENT_C_CALC CURRENT_D_CALC
## CURRENT_A_CALC 1.0000000 0.7761173 0.7580302 0.7378579
## CURRENT_B_CALC 0.7761173 1.0000000 0.9596995 0.9452583
## CURRENT_C_CALC 0.7580302 0.9596995 1.0000000 0.9574333
## CURRENT_D_CALC 0.7378579 0.9452583 0.9574333 1.0000000
## POWER_A 0.9895173 0.8008913 0.7830160 0.7627488
## POWER_B 0.7777192 0.9897969 0.9614221 0.9466862
## POWER_C 0.7578377 0.9567905 0.9818892 0.9573954
## POWER_D 0.7382265 0.9471590 0.9572072 0.9826808
## TEMPERATURE_A 0.1298586 0.2812155 0.2801649 0.2826616
## TEMPERATURE_B 0.1304066 0.2857576 0.2846901 0.2867041
## TEMPERATURE_C 0.1319332 0.2879019 0.2866563 0.2891686
## TEMPERATURE_D 0.1312256 0.2873261 0.2855764 0.2883630
## VOLTAGE_A -0.5424286 -0.6973648 -0.6861339 -0.6762136
## VOLTAGE_B -0.5319676 -0.7022913 -0.6934716 -0.6849397
## VOLTAGE_C -0.5250753 -0.6978133 -0.6961384 -0.6900184
## VOLTAGE_D -0.5177457 -0.6949424 -0.6933466 -0.6946252
## POWER_A POWER_B POWER_C POWER_D TEMPERATURE_A
## CURRENT_A_CALC 0.9895173 0.7777192 0.7578377 0.7382265 0.1298586
## CURRENT_B_CALC 0.8008913 0.9897969 0.9567905 0.9471590 0.2812155
## CURRENT_C_CALC 0.7830160 0.9614221 0.9818892 0.9572072 0.2801649
## CURRENT_D_CALC 0.7627488 0.9466862 0.9573954 0.9826808 0.2826616
## POWER_A 1.0000000 0.8026143 0.7828349 0.7634251 0.1850812
## POWER_B 0.8026143 1.0000000 0.9604075 0.9494109 0.2799539
## POWER_C 0.7828349 0.9604075 1.0000000 0.9593306 0.2812646
## POWER_D 0.7634251 0.9494109 0.9593306 1.0000000 0.2829179
## TEMPERATURE_A 0.1850812 0.2799539 0.2812646 0.2829179 1.0000000
## TEMPERATURE_B 0.1862841 0.2844193 0.2857293 0.2871180 0.9942827
## TEMPERATURE_C 0.1876713 0.2865170 0.2877945 0.2895349 0.9932421
## TEMPERATURE_D 0.1869641 0.2857389 0.2866692 0.2885530 0.9918381
## VOLTAGE_A -0.6136907 -0.6976509 -0.6864002 -0.6786076 -0.5679242
## VOLTAGE_B -0.6032539 -0.7028033 -0.6937677 -0.6875101 -0.5680499
## VOLTAGE_C -0.5962594 -0.6983145 -0.6974911 -0.6921239 -0.5689866
## VOLTAGE_D -0.5890663 -0.6939961 -0.6950713 -0.6970168 -0.5687860
## TEMPERATURE_B TEMPERATURE_C TEMPERATURE_D VOLTAGE_A VOLTAGE_B
## CURRENT_A_CALC 0.1304066 0.1319332 0.1312256 -0.5424286 -0.5319676
## CURRENT_B_CALC 0.2857576 0.2879019 0.2873261 -0.6973648 -0.7022913
## CURRENT_C_CALC 0.2846901 0.2866563 0.2855764 -0.6861339 -0.6934716
## CURRENT_D_CALC 0.2867041 0.2891686 0.2883630 -0.6762136 -0.6849397
## POWER_A 0.1862841 0.1876713 0.1869641 -0.6136907 -0.6032539
## POWER_B 0.2844193 0.2865170 0.2857389 -0.6976509 -0.7028033
## POWER_C 0.2857293 0.2877945 0.2866692 -0.6864002 -0.6937677
## POWER_D 0.2871180 0.2895349 0.2885530 -0.6786076 -0.6875101
## TEMPERATURE_A 0.9942827 0.9932421 0.9918381 -0.5679242 -0.5680499
## TEMPERATURE_B 1.0000000 0.9920592 0.9906528 -0.5722038 -0.5724647
## TEMPERATURE_C 0.9920592 1.0000000 0.9900023 -0.5719848 -0.5721561
## TEMPERATURE_D 0.9906528 0.9900023 1.0000000 -0.5714118 -0.5716277
## VOLTAGE_A -0.5722038 -0.5719848 -0.5714118 1.0000000 0.9946486
## VOLTAGE_B -0.5724647 -0.5721561 -0.5716277 0.9946486 1.0000000
## VOLTAGE_C -0.5735124 -0.5730825 -0.5726508 0.9911411 0.9940895
## VOLTAGE_D -0.5733024 -0.5729450 -0.5724479 0.9876412 0.9908755
## VOLTAGE_C VOLTAGE_D
## CURRENT_A_CALC -0.5250753 -0.5177457
## CURRENT_B_CALC -0.6978133 -0.6949424
## CURRENT_C_CALC -0.6961384 -0.6933466
## CURRENT_D_CALC -0.6900184 -0.6946252
## POWER_A -0.5962594 -0.5890663
## POWER_B -0.6983145 -0.6939961
## POWER_C -0.6974911 -0.6950713
## POWER_D -0.6921239 -0.6970168
## TEMPERATURE_A -0.5689866 -0.5687860
## TEMPERATURE_B -0.5735124 -0.5733024
## TEMPERATURE_C -0.5730825 -0.5729450
## TEMPERATURE_D -0.5726508 -0.5724479
## VOLTAGE_A 0.9911411 0.9876412
## VOLTAGE_B 0.9940895 0.9908755
## VOLTAGE_C 1.0000000 0.9925362
## VOLTAGE_D 0.9925362 1.0000000
PCA
## [1] "Cálculo del PCA"## Standard deviations (1, .., p=16):
## [1] 3.25525166 1.89382746 0.98379585 0.77721429 0.30044011 0.24165389
## [7] 0.13776547 0.12836211 0.10390343 0.10211431 0.09368639 0.08944559
## [13] 0.08229141 0.07874121 0.07331282 0.06612927
##
## Rotation (n x k) = (16 x 16):
## PC1 PC2 PC3 PC4 PC5
## CURRENT_A_CALC 0.2265734 0.23037722 0.1567712 -0.628077878 0.0681875301
## CURRENT_B_CALC 0.2781737 0.17841161 0.1348896 0.149011782 -0.5174161984
## CURRENT_C_CALC 0.2771723 0.17831220 0.1419104 0.200663380 -0.0429199027
## CURRENT_D_CALC 0.2750850 0.17383677 0.1445712 0.239959632 0.4867414735
## POWER_A 0.2416485 0.20472411 0.1077937 -0.597822957 0.0537835595
## POWER_B 0.2783984 0.17969282 0.1352780 0.149108373 -0.4962885952
## POWER_C 0.2772834 0.17759403 0.1410486 0.200677501 0.0011197983
## POWER_D 0.2755417 0.17383047 0.1418528 0.240314956 0.4561079384
## TEMPERATURE_A 0.1770544 -0.41472937 0.2174884 -0.037766952 0.0046764947
## TEMPERATURE_B 0.1782011 -0.41351143 0.2135050 -0.031293620 -0.0029151210
## TEMPERATURE_C 0.1785468 -0.41245457 0.2160042 -0.029788296 -0.0002552852
## TEMPERATURE_D 0.1782758 -0.41242737 0.2152543 -0.029913448 -0.0027328363
## VOLTAGE_A -0.2749537 0.09185680 0.4075062 0.055192839 0.0890747702
## VOLTAGE_B -0.2757735 0.09128516 0.4066122 0.019255984 0.0635065927
## VOLTAGE_C -0.2756683 0.09219607 0.4057282 0.001074907 -0.0396135146
## VOLTAGE_D -0.2750817 0.09297845 0.4054179 -0.014592126 -0.1344108565
## PC6 PC7 PC8 PC9
## CURRENT_A_CALC 0.0030123127 -1.066971e-03 -0.0011538272 -0.06371826
## CURRENT_B_CALC -0.3115381942 6.190130e-02 -0.0067144936 -0.57594499
## CURRENT_C_CALC 0.5660735595 5.786378e-01 0.4120821138 0.02963514
## CURRENT_D_CALC -0.2865069340 4.134236e-01 -0.5635729621 0.07393681
## POWER_A 0.0052469236 6.558828e-04 0.0057959977 0.04447666
## POWER_B -0.2689889327 -8.956320e-02 -0.0390353951 0.51100204
## POWER_C 0.5809111312 -5.683348e-01 -0.3988553825 -0.05109017
## POWER_D -0.2944980531 -3.971856e-01 0.5924853235 0.03332842
## TEMPERATURE_A 0.0028088579 5.623994e-05 0.0006550652 0.05931981
## TEMPERATURE_B 0.0064123012 -2.132949e-03 0.0096897674 0.07544381
## TEMPERATURE_C -0.0001726369 -5.180795e-03 0.0038369471 0.14048619
## TEMPERATURE_D -0.0078648661 6.440923e-03 -0.0128988179 -0.27707432
## VOLTAGE_A 0.0194342337 -2.422382e-02 -0.0010234151 -0.28098430
## VOLTAGE_B 0.0117735923 -1.438828e-02 -0.0117064904 -0.15901621
## VOLTAGE_C -0.0538369296 9.133075e-03 0.0200259583 0.02086143
## VOLTAGE_D 0.0177297672 2.633225e-02 -0.0055723582 0.42505238
## PC10 PC11 PC12 PC13
## CURRENT_A_CALC 0.0313020072 0.129221405 0.016496116 -0.562087081
## CURRENT_B_CALC 0.1915256219 -0.314519871 -0.063833917 -0.059771983
## CURRENT_C_CALC -0.0147180679 0.040500428 0.014567543 0.018827901
## CURRENT_D_CALC -0.0120224185 -0.044894882 -0.015183583 -0.006654322
## POWER_A -0.0266424078 -0.104472299 -0.009118585 0.592890247
## POWER_B -0.1561061667 0.467132286 0.089690682 0.072971051
## POWER_C 0.0120555914 -0.085157968 -0.016077589 0.010538659
## POWER_D -0.0256389753 -0.095263285 -0.021422122 -0.030258890
## TEMPERATURE_A 0.1478228803 0.045275157 -0.198485232 -0.071730113
## TEMPERATURE_B 0.2575875296 0.113431787 -0.633106837 0.069672675
## TEMPERATURE_C 0.3978728567 -0.155661326 0.710342446 -0.006813597
## TEMPERATURE_D -0.8040119502 0.001217729 0.122853070 0.005136880
## VOLTAGE_A 0.1077802557 0.521293790 0.090720915 -0.114380138
## VOLTAGE_B 0.0565596954 0.161149505 0.041425416 0.133023926
## VOLTAGE_C 0.0007849393 -0.180105220 -0.007462454 0.395440849
## VOLTAGE_D -0.1683393854 -0.515719330 -0.128309908 -0.353542671
## PC14 PC15 PC16
## CURRENT_A_CALC 0.350803157 1.004838e-01 0.0275474906
## CURRENT_B_CALC -0.080086033 -1.891635e-02 -0.0002153577
## CURRENT_C_CALC 0.027227596 9.722716e-05 0.0042438146
## CURRENT_D_CALC 0.001129900 4.905620e-03 -0.0127908747
## POWER_A -0.387834305 -1.007124e-01 -0.0443302364
## POWER_B 0.048629396 8.152723e-03 0.0443098118
## POWER_C 0.032568861 -2.222416e-05 -0.0205263084
## POWER_D -0.014407328 -1.197541e-03 0.0008391792
## TEMPERATURE_A 0.099446615 -8.157927e-01 0.0228996383
## TEMPERATURE_B -0.048634517 5.074254e-01 -0.0103291332
## TEMPERATURE_C -0.048730542 2.026980e-01 -0.0071978532
## TEMPERATURE_D -0.001189283 1.106263e-01 -0.0070181493
## VOLTAGE_A -0.375549215 -4.238746e-02 -0.4598830577
## VOLTAGE_B 0.008656289 1.155394e-02 0.8193422676
## VOLTAGE_C 0.667362454 3.176255e-02 -0.3320450194
## VOLTAGE_D -0.338550397 -6.952563e-03 -0.0301444670## [1] "solicito las tablas"## Principal Component Analysis Results for variables
## ===================================================
## Name Description
## 1 "$coord" "Coordinates for the variables"
## 2 "$cor" "Correlations between variables and dimensions"
## 3 "$cos2" "Cos2 for the variables"
## 4 "$contrib" "contributions of the variables"## eigenvalue variance.percent cumulative.variance.percent
## Dim.1 10.596663374 66.22914609 66.22915
## Dim.2 3.586582459 22.41614037 88.64529
## Dim.3 0.967854282 6.04908926 94.69438
## Dim.4 0.604062055 3.77538784 98.46976
## Dim.5 0.090264260 0.56415163 99.03392
## Dim.6 0.058396604 0.36497878 99.39889
## Dim.7 0.018979325 0.11862078 99.51751
## Dim.8 0.016476830 0.10298019 99.62049
## Dim.9 0.010795923 0.06747452 99.68797
## Dim.10 0.010427332 0.06517082 99.75314
## Dim.11 0.008777139 0.05485712 99.80800
## Dim.12 0.008000514 0.05000321 99.85800
## Dim.13 0.006771877 0.04232423 99.90032
## Dim.14 0.006200178 0.03875111 99.93908
## Dim.15 0.005374769 0.03359231 99.97267
## Dim.16 0.004373080 0.02733175 100.00000## [1] "las gráficas"
## [1] "Cálculo de los componentes"Gráficamos clúster con k-means
