Analisis de Cluster con Motor 2 y bateria 1
Carlos Garcia
Fecha de revisión: 05-09-2024
## CURRENT_A_CALC CURRENT_B_CALC CURRENT_C_CALC CURRENT_D_CALC
## Min. :-1.1972 Min. :-1.27996 Min. :-1.28566 Min. :-1.28588
## 1st Qu.:-0.9188 1st Qu.:-0.95752 1st Qu.:-0.95102 1st Qu.:-0.95490
## Median :-0.2182 Median :-0.01771 Median :-0.01696 Median :-0.01529
## Mean : 0.0000 Mean : 0.00000 Mean : 0.00000 Mean : 0.00000
## 3rd Qu.: 0.7160 3rd Qu.: 0.75540 3rd Qu.: 0.76080 3rd Qu.: 0.75331
## Max. : 8.2160 Max. : 3.75438 Max. : 3.68800 Max. : 3.39560
## POWER_A POWER_B POWER_C POWER_D
## Min. :-1.1384 Min. :-1.270003 Min. :-1.275933 Min. :-1.278024
## 1st Qu.:-0.8423 1st Qu.:-0.953846 1st Qu.:-0.958260 1st Qu.:-0.960437
## Median :-0.2501 Median :-0.005374 Median :-0.005242 Median :-0.007675
## Mean : 0.0000 Mean : 0.000000 Mean : 0.000000 Mean : 0.000000
## 3rd Qu.: 0.6381 3rd Qu.: 0.767454 3rd Qu.: 0.771291 3rd Qu.: 0.768649
## Max. : 7.1521 Max. : 3.718254 Max. : 3.665643 Max. : 3.379921
## TEMPERATURE_A TEMPERATURE_B TEMPERATURE_C TEMPERATURE_D
## Min. :-1.7978 Min. :-1.9345 Min. :-1.8118 Min. :-1.8093
## 1st Qu.:-0.6606 1st Qu.:-0.6581 1st Qu.:-0.6605 1st Qu.:-0.6605
## Median :-0.1119 Median :-0.1185 Median :-0.1155 Median :-0.1150
## Mean : 0.0000 Mean : 0.0000 Mean : 0.0000 Mean : 0.0000
## 3rd Qu.: 0.4671 3rd Qu.: 0.4685 3rd Qu.: 0.4684 3rd Qu.: 0.4659
## Max. : 3.2261 Max. : 2.8645 Max. : 2.8986 Max. : 2.8908
## VOLTAGE_A VOLTAGE_B VOLTAGE_C VOLTAGE_D
## Min. :-1.8444 Min. :-3.14323 Min. :-2.10733 Min. :-2.19643
## 1st Qu.:-0.8718 1st Qu.:-0.86869 1st Qu.:-0.87167 1st Qu.:-0.87567
## Median : 0.0502 Median : 0.05412 Median : 0.05671 Median : 0.05471
## Mean : 0.0000 Mean : 0.00000 Mean : 0.00000 Mean : 0.00000
## 3rd Qu.: 0.7314 3rd Qu.: 0.73649 3rd Qu.: 0.73665 3rd Qu.: 0.73135
## Max. : 2.1191 Max. : 2.12070 Max. : 2.12269 Max. : 2.12368Procedemos 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 1.00000000 0.7766685 0.7640501 0.7482858
## CURRENT_B_CALC 0.77666849 1.0000000 0.9473651 0.9325967
## CURRENT_C_CALC 0.76405012 0.9473651 1.0000000 0.9449309
## CURRENT_D_CALC 0.74828576 0.9325967 0.9449309 1.0000000
## POWER_A 0.99145316 0.7993456 0.7868023 0.7707034
## POWER_B 0.77744994 0.9909449 0.9498474 0.9349877
## POWER_C 0.76514380 0.9471888 0.9849482 0.9463947
## POWER_D 0.74610330 0.9318261 0.9432785 0.9807189
## TEMPERATURE_A 0.08946585 0.3754819 0.3759531 0.3769793
## TEMPERATURE_B 0.09003897 0.3772876 0.3773814 0.3788208
## TEMPERATURE_C 0.09291300 0.3793650 0.3792751 0.3808450
## TEMPERATURE_D 0.09231414 0.3789366 0.3790925 0.3806705
## VOLTAGE_A -0.29473300 -0.5329628 -0.5255992 -0.5180733
## VOLTAGE_B -0.28800254 -0.5363715 -0.5305330 -0.5237771
## VOLTAGE_C -0.28108284 -0.5307386 -0.5317425 -0.5265501
## VOLTAGE_D -0.27482030 -0.5258839 -0.5271206 -0.5285804
## POWER_A POWER_B POWER_C POWER_D TEMPERATURE_A
## CURRENT_A_CALC 0.9914532 0.7774499 0.7651438 0.7461033 0.08946585
## CURRENT_B_CALC 0.7993456 0.9909449 0.9471888 0.9318261 0.37548192
## CURRENT_C_CALC 0.7868023 0.9498474 0.9849482 0.9432785 0.37595308
## CURRENT_D_CALC 0.7707034 0.9349877 0.9463947 0.9807189 0.37697926
## POWER_A 1.0000000 0.8002005 0.7878694 0.7688621 0.15155859
## POWER_B 0.8002005 1.0000000 0.9505846 0.9349951 0.37225822
## POWER_C 0.7878694 0.9505846 1.0000000 0.9451010 0.37423258
## POWER_D 0.7688621 0.9349951 0.9451010 1.0000000 0.37787744
## TEMPERATURE_A 0.1515586 0.3722582 0.3742326 0.3778774 1.00000000
## TEMPERATURE_B 0.1522648 0.3741073 0.3758417 0.3797653 0.99520013
## TEMPERATURE_C 0.1550452 0.3761493 0.3776590 0.3815350 0.99525790
## TEMPERATURE_D 0.1544007 0.3756090 0.3774791 0.3813937 0.99381647
## VOLTAGE_A -0.3615224 -0.5321161 -0.5259983 -0.5195669 -0.80656393
## VOLTAGE_B -0.3546692 -0.5360463 -0.5309988 -0.5253289 -0.80651697
## VOLTAGE_C -0.3477342 -0.5306513 -0.5321899 -0.5279423 -0.80742945
## VOLTAGE_D -0.3415249 -0.5250794 -0.5278612 -0.5300528 -0.80745300
## TEMPERATURE_B TEMPERATURE_C TEMPERATURE_D VOLTAGE_A VOLTAGE_B
## CURRENT_A_CALC 0.09003897 0.0929130 0.09231414 -0.2947330 -0.2880025
## CURRENT_B_CALC 0.37728760 0.3793650 0.37893657 -0.5329628 -0.5363715
## CURRENT_C_CALC 0.37738137 0.3792751 0.37909254 -0.5255992 -0.5305330
## CURRENT_D_CALC 0.37882078 0.3808450 0.38067054 -0.5180733 -0.5237771
## POWER_A 0.15226481 0.1550452 0.15440067 -0.3615224 -0.3546692
## POWER_B 0.37410726 0.3761493 0.37560898 -0.5321161 -0.5360463
## POWER_C 0.37584170 0.3776590 0.37747906 -0.5259983 -0.5309988
## POWER_D 0.37976533 0.3815350 0.38139372 -0.5195669 -0.5253289
## TEMPERATURE_A 0.99520013 0.9952579 0.99381647 -0.8065639 -0.8065170
## TEMPERATURE_B 1.00000000 0.9943558 0.99351183 -0.8065210 -0.8066188
## TEMPERATURE_C 0.99435582 1.0000000 0.99354444 -0.8065614 -0.8065193
## TEMPERATURE_D 0.99351183 0.9935444 1.00000000 -0.8055157 -0.8054690
## VOLTAGE_A -0.80652097 -0.8065614 -0.80551570 1.0000000 0.9963806
## VOLTAGE_B -0.80661880 -0.8065193 -0.80546905 0.9963806 1.0000000
## VOLTAGE_C -0.80748571 -0.8074522 -0.80639472 0.9938600 0.9954345
## VOLTAGE_D -0.80745847 -0.8076031 -0.80653473 0.9907834 0.9927473
## VOLTAGE_C VOLTAGE_D
## CURRENT_A_CALC -0.2810828 -0.2748203
## CURRENT_B_CALC -0.5307386 -0.5258839
## CURRENT_C_CALC -0.5317425 -0.5271206
## CURRENT_D_CALC -0.5265501 -0.5285804
## POWER_A -0.3477342 -0.3415249
## POWER_B -0.5306513 -0.5250794
## POWER_C -0.5321899 -0.5278612
## POWER_D -0.5279423 -0.5300528
## TEMPERATURE_A -0.8074295 -0.8074530
## TEMPERATURE_B -0.8074857 -0.8074585
## TEMPERATURE_C -0.8074522 -0.8076031
## TEMPERATURE_D -0.8063947 -0.8065347
## VOLTAGE_A 0.9938600 0.9907834
## VOLTAGE_B 0.9954345 0.9927473
## VOLTAGE_C 1.0000000 0.9938317
## VOLTAGE_D 0.9938317 1.0000000
PCA
## [1] "Cálculo del PCA"## Standard deviations (1, .., p=16):
## [1] 3.22732683 2.02943144 0.83246589 0.70017061 0.34244039 0.28771807
## [7] 0.13886926 0.12268412 0.09526871 0.08873330 0.08380961 0.07762887
## [13] 0.07507910 0.06973460 0.06681253 0.05642992
##
## Rotation (n x k) = (16 x 16):
## PC1 PC2 PC3 PC4 PC5
## CURRENT_A_CALC 0.1911609 0.3235640 0.14920454 -0.58793210 0.0560112114
## CURRENT_B_CALC 0.2639734 0.2283853 -0.09651663 0.13829241 -0.5096636069
## CURRENT_C_CALC 0.2637374 0.2280377 -0.11472536 0.18399694 -0.0494046681
## CURRENT_D_CALC 0.2619977 0.2242631 -0.13204298 0.21398597 0.4890265928
## POWER_A 0.2070443 0.3007080 0.16304247 -0.57001968 0.0500324505
## POWER_B 0.2639493 0.2301592 -0.09375778 0.14492454 -0.4860461023
## POWER_C 0.2637823 0.2287781 -0.11104756 0.18554491 -0.0347389308
## POWER_D 0.2620519 0.2232351 -0.13057545 0.21755027 0.4924217823
## TEMPERATURE_A 0.2339734 -0.2938879 -0.29042295 -0.15690673 -0.0000679113
## TEMPERATURE_B 0.2342373 -0.2931361 -0.29126996 -0.15413576 -0.0004915009
## TEMPERATURE_C 0.2346428 -0.2920736 -0.29190344 -0.15660286 -0.0007808558
## TEMPERATURE_D 0.2344176 -0.2918956 -0.29320828 -0.15568894 0.0014499926
## VOLTAGE_A -0.2669310 0.1944222 -0.37309403 -0.05438339 0.0501830205
## VOLTAGE_B -0.2674872 0.1940345 -0.36705564 -0.08229934 0.0408501094
## VOLTAGE_C -0.2671840 0.1954656 -0.36167261 -0.09769661 -0.0259226287
## VOLTAGE_D -0.2664171 0.1970138 -0.35773169 -0.10709420 -0.0906964698
## PC6 PC7 PC8 PC9
## CURRENT_A_CALC -0.0054239943 0.004001356 2.735884e-04 0.030763712
## CURRENT_B_CALC 0.3247742430 0.033100657 4.605923e-02 0.671487968
## CURRENT_C_CALC -0.5811739080 0.020786977 6.989614e-01 -0.035558947
## CURRENT_D_CALC 0.2580734982 0.711433522 -2.351414e-02 -0.042880641
## POWER_A -0.0061901169 -0.006872584 3.018959e-04 -0.025112692
## POWER_B 0.2995200466 -0.025260291 -5.220168e-02 -0.666804799
## POWER_C -0.5655986574 -0.039173732 -7.101179e-01 0.057126575
## POWER_D 0.2811657205 -0.699904518 4.062151e-02 0.012780236
## TEMPERATURE_A -0.0059216775 -0.004880580 5.170901e-03 -0.012049456
## TEMPERATURE_B -0.0008338671 -0.007680901 -6.731291e-03 -0.023568505
## TEMPERATURE_C 0.0010634064 0.005548448 -1.648619e-03 -0.003061206
## TEMPERATURE_D -0.0010644180 0.004681214 -1.580413e-03 0.034790558
## VOLTAGE_A -0.0143305974 0.003103981 -5.123663e-03 0.108441476
## VOLTAGE_B -0.0108541726 0.004081393 -3.980552e-06 0.105371856
## VOLTAGE_C 0.0316568339 -0.003164729 -3.515384e-03 0.044828575
## VOLTAGE_D -0.0075690493 -0.007779937 4.460972e-03 -0.263771582
## PC10 PC11 PC12 PC13
## CURRENT_A_CALC 0.078107167 0.023861011 -0.6854810927 0.0050737835
## CURRENT_B_CALC -0.157267626 0.028643280 0.0013607518 -0.0067424074
## CURRENT_C_CALC 0.010832909 -0.002128070 0.0030243657 -0.0007444604
## CURRENT_D_CALC -0.058874655 0.003928265 0.0006887242 -0.0027708432
## POWER_A -0.046688540 -0.023685250 0.7028371954 -0.0108642328
## POWER_B 0.264752316 -0.028357761 0.0002884904 -0.0008943671
## POWER_C -0.028571180 0.002121509 0.0009353809 0.0053598989
## POWER_D -0.061029651 -0.001988605 -0.0090370308 0.0091107224
## TEMPERATURE_A -0.005884863 0.287733132 -0.0312565133 0.0296529332
## TEMPERATURE_B -0.030371012 0.290304797 0.0204519096 -0.7181596220
## TEMPERATURE_C 0.042358396 0.287449188 0.0332206134 0.6903607622
## TEMPERATURE_D 0.003528371 -0.864326931 -0.0326146367 -0.0034738505
## VOLTAGE_A 0.509972229 0.017544606 -0.0226858441 -0.0658620648
## VOLTAGE_B 0.266861879 -0.001706198 0.0564772622 0.0010411886
## VOLTAGE_C -0.035560399 -0.012057846 0.1241019315 0.0395768209
## VOLTAGE_D -0.743944121 -0.002284651 -0.1156428013 0.0232849834
## PC14 PC15 PC16
## CURRENT_A_CALC -0.0910331294 -0.036515966 -0.0225385592
## CURRENT_B_CALC 0.0678308115 0.003323068 0.0125109056
## CURRENT_C_CALC -0.0277809010 -0.008488094 0.0012742400
## CURRENT_D_CALC -0.0062229610 0.003425264 0.0044041079
## POWER_A 0.1110737090 0.037496276 0.0374192700
## POWER_B -0.0359861543 0.004812353 -0.0374438657
## POWER_C -0.0171014935 0.001921719 0.0005610257
## POWER_D 0.0004417061 -0.001986173 0.0025041172
## TEMPERATURE_A -0.0419513201 0.814320628 0.0114478801
## TEMPERATURE_B -0.0237396058 -0.383725325 -0.0277104731
## TEMPERATURE_C 0.0555143090 -0.429539816 0.0122464085
## TEMPERATURE_D 0.0131144729 -0.001864782 0.0085138210
## VOLTAGE_A 0.4044815238 0.016963033 0.5524011188
## VOLTAGE_B 0.1127807980 0.023418590 -0.8054283748
## VOLTAGE_C -0.8299049207 -0.037768343 0.1944271202
## VOLTAGE_D 0.3189547294 0.001109477 0.0609958074## [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 10.415638453 65.09774033 65.09774
## Dim.2 4.118591987 25.74119992 90.83894
## Dim.3 0.692999455 4.33124659 95.17019
## Dim.4 0.490238882 3.06399301 98.23418
## Dim.5 0.117265417 0.73290886 98.96709
## Dim.6 0.082781688 0.51738555 99.48447
## Dim.7 0.019284671 0.12052919 99.60500
## Dim.8 0.015051392 0.09407120 99.69907
## Dim.9 0.009076127 0.05672579 99.75580
## Dim.10 0.007873599 0.04920999 99.80501
## Dim.11 0.007024052 0.04390032 99.84891
## Dim.12 0.006026241 0.03766400 99.88657
## Dim.13 0.005636871 0.03523044 99.92181
## Dim.14 0.004862915 0.03039322 99.95220
## Dim.15 0.004463915 0.02789947 99.98010
## Dim.16 0.003184336 0.01990210 100.00000## [1] "las gráficas"
## [1] "Cálculo de los componentes"Gráficamos clúster con k-means
