Library:
> install.packages("knitr")
> install.packages("rmarkdown")
Error in contrib.url(repos, "source"): trying to use CRAN without setting a mirror
> install.packages("prettydoc")
Error in contrib.url(repos, "source"): trying to use CRAN without setting a mirror
> install.packages("equatiomatic")
Error in contrib.url(repos, "source"): trying to use CRAN without setting a mirror
> install.packages("fastmap")
Error in contrib.url(repos, "source"): trying to use CRAN without setting a mirrorPENDAHULUAN
Latar Belakang
Provinsi Jawa Timur memiliki distribusi angkatan kerja yang beragam berdasarkan jenis kegiatan, tingkat pendidikan, dan kabupaten/kota. Menurut data BPS Agustus 2020, jumlah pekerja laki-laki mencapai lebih dari 10 juta, dengan distribusi yang tidak merata. Sedangkan daerah pedesaan seperti Sampang hanya memiliki sekitar 30% tenaga kerja yang terlatih di SMA/sederajat, wilayah perkotaan seperti Surabaya memiliki lebih dari 70%. Selain itu, sektor resmi mendominasi wilayah perkotaan, tetapi sektor informal dan pertanian lebih dominan di wilayah pedesaan. Disparitas seperti ini menyoroti pentingnya memahami karakteristik pekerja untuk menegakkan sasaran kebijakan.
Analisis Multidimensional Scaling (MDS) dapat digunakan untuk menggambarkan hubungan antar wilayah berdasarkan karakteristik terkait pekerjaan. Dengan bantuan data BPS yang mencakup indikator pendidikan, jenis aktivitas, dan status pekerjaan, MDS dapat memvisualisasikan hubungan tersebut dalam cara multidimensional. Misalnya, kelompok orang seperti Jember dan Banyuwangi dapat dikelompokkan menurut dominasi sektor pertanian, sedangkan kelompok seperti Gresik lebih fokus pada sektor industri.
Hasil analisis MDS dapat menjadi dasar untuk perencanaan strategis, seperti program pelatihan kerja yang relevan dengan kebutuhan lokal atau pengembangan sektor unggulan di suatu daerah. Misalnya, data menunjukkan bahwa tingkat terbuka di Jawa Timur adalah 4,93 persen (BPS, 2020), dengan konsentrasi tinggi di beberapa daerah. Informasi akurat yang diperoleh dari MDS dapat membantu pemerintah dalam menerapkan kebijakan dan intervensi sehari-hari untuk secara efektif mengurangi sengketa tenaga kerja antara provinsi dan kota.
Statistika Deskriptif
Statistik deskriptif adalah metode yang berkaitan dengan pengumpulan, analisis, dan interpretasi data untuk menghasilkan informasi yang berguna. Statistik deskriptif adalah statistik yang hanya melihat data tanpa membuat asumsi tentang populasi. Statistik deskriptif hanya menampilkan ringkasan statistik berdasarkan data yang terkumpul (Walpole, 1997). Statistik deskriptif disajikan melalui ukuran penyebaran data, ukuran pemusatan data, grafik, diagram, histogram, dan lain-lain untuk memberikan informasi yang mudah dipahami.
Data
Data yang digunakan merupakan data sekunder yang diperoleh dari website BPS Jawa Timur pada Agustus 2020 di Provinsi Jawa Timur. Variabel utama meliputi jumlah angkatan kerja laki-laki, tingkat pendidikan (tidak sekolah hingga perguruan tinggi), jenis kegiatan (sektor formal, informal, dan pengangguran), serta tingkat pengangguran terbuka (TPT) yang tercatat sebesar 4,93%. Analisis mencakup 38 kabupaten/kota di Jawa Timur dengan karakteristik sosial-ekonomi yang beragam. Data ini dipilih karena keandalannya dan digunakan untuk mendukung pemetaan pola angkatan kerja menggunakan metode Multidimensional Scaling (MDS).
SOURCE CODE
Import Data
Pembenntukan Jarak (D)
> D = as.matrix(dist(ak1))
> D
1 2 3 4 5 6 7
1 0.00 47431.37 30982.60 67323.65 114063.39 165918.71 383040.39
2 47431.37 0.00 30846.13 27433.64 73761.24 123317.24 340179.11
3 30982.60 30846.13 0.00 50666.77 85118.26 140234.16 354160.38
4 67323.65 27433.64 50666.77 0.00 62726.52 103717.81 323724.87
5 114063.39 73761.24 85118.26 62726.52 0.00 62625.15 269575.01
6 165918.71 123317.24 140234.16 103717.81 62625.15 0.00 225414.64
7 383040.39 340179.11 354160.38 323724.87 269575.01 225414.64 0.00
8 124573.29 94930.15 94752.60 99019.82 55493.35 106926.83 279009.61
9 395107.67 355795.21 364575.54 345141.74 284775.24 254007.69 92156.72
10 185923.47 141593.64 157978.61 128113.85 75731.73 45779.52 201177.74
11 72646.04 56496.24 45841.73 72751.60 71433.98 130856.87 328920.29
12 43377.75 45359.40 34885.24 71118.41 100052.07 153880.02 364196.54
13 149906.79 117189.63 119843.06 118126.35 65257.70 98338.95 255980.09
14 185886.53 144359.36 156949.03 132945.46 76906.11 52477.14 205366.41
15 256984.98 232178.10 255248.11 218188.95 241042.45 212864.13 369366.99
16 88629.94 56670.20 79625.59 43210.90 85354.49 105107.58 328706.99
17 95275.74 57039.53 82226.09 38846.93 73672.18 91508.01 314512.72
18 69406.33 30903.15 47281.89 21791.92 53804.57 97305.07 318299.50
19 23137.81 41627.62 36641.84 60913.95 110392.23 157645.35 378002.98
20 27015.25 58328.04 50521.09 75497.39 127033.68 172882.29 394253.36
21 42383.57 25373.91 17027.17 40625.48 74226.20 126242.08 342695.44
22 132492.37 90256.41 104159.98 84861.06 36817.34 65703.16 257571.18
23 122951.21 84056.53 93217.83 76656.26 20376.97 64649.09 262493.10
24 95824.23 53214.67 82912.72 52259.72 79376.25 110156.75 318376.57
25 113265.75 81918.52 109097.28 77587.71 114205.43 127783.65 339102.70
26 75577.53 59862.71 52002.43 79587.67 79621.20 139038.39 334455.20
27 102663.47 81866.04 75411.84 94236.48 71458.76 129247.36 310381.38
28 59141.50 42720.87 44640.58 66734.23 89341.02 141527.21 348929.48
29 140555.81 109459.09 113253.05 116974.40 78177.55 119347.74 279223.68
30 88362.08 128460.89 118517.36 146663.71 200373.38 247390.34 467730.93
31 97910.31 141146.58 127573.20 160016.90 211376.74 260359.75 480176.10
32 67743.73 83485.63 87716.39 95176.51 150917.57 187392.72 407818.60
33 87849.26 129334.17 117683.95 148204.03 200461.94 248492.19 468716.08
34 89213.80 131593.93 118612.49 151152.13 202086.65 251194.69 470702.64
35 102621.55 145259.76 132357.23 164088.59 215896.71 264478.43 484516.68
36 100360.78 142365.31 130211.91 160906.82 213289.89 261092.67 481489.75
37 324961.53 292652.41 316469.54 278785.70 282837.57 244121.31 335743.31
38 82261.31 124732.31 111790.39 144312.10 195256.83 244625.62 464015.57
8 9 10 11 12 13 14
1 124573.29 395107.67 185923.47 72646.04 43377.75 149906.79 185886.53
2 94930.15 355795.21 141593.64 56496.24 45359.40 117189.63 144359.36
3 94752.60 364575.54 157978.61 45841.73 34885.24 119843.06 156949.03
4 99019.82 345141.74 128113.85 72751.60 71118.41 118126.35 132945.46
5 55493.35 284775.24 75731.73 71433.98 100052.07 65257.70 76906.11
6 106926.83 254007.69 45779.52 130856.87 153880.02 98338.95 52477.14
7 279009.61 92156.72 201177.74 328920.29 364196.54 255980.09 205366.41
8 0.00 277467.87 97910.85 56284.98 98978.02 33474.25 93488.35
9 277467.87 0.00 221247.42 330842.89 369585.78 250723.92 217333.05
10 97910.85 221247.42 0.00 136391.40 165381.44 80611.59 27615.83
11 56284.98 330842.89 136391.40 0.00 45974.47 81455.84 132946.79
12 98978.02 369585.78 165381.44 45974.47 0.00 120697.15 163132.09
13 33474.25 250723.92 80611.59 81455.84 120697.15 0.00 70480.81
14 93488.35 217333.05 27615.83 132946.79 163132.09 70480.81 0.00
15 284568.73 414782.50 237476.17 270859.29 254961.68 280013.78 244637.74
16 126665.94 353630.30 134243.04 101503.45 88925.37 137386.37 137705.98
17 118197.28 340517.12 120321.36 99465.19 93386.28 128275.90 125475.24
18 88425.63 335671.72 120845.22 62490.05 64420.80 104720.67 121509.24
19 126084.82 391346.78 178759.27 76137.05 40522.39 147917.35 178304.18
20 142319.72 407900.86 195407.51 90459.16 52688.29 164216.90 194754.42
21 90296.94 354423.26 145571.94 45715.68 38886.54 112086.22 144112.44
22 52620.63 267605.70 59076.36 79432.40 107527.66 47719.54 59496.42
23 45336.01 273051.63 68624.34 70300.95 103206.70 48164.38 66531.28
24 106292.51 339353.46 121499.95 89061.52 82599.91 119878.29 130948.29
25 148349.82 364975.82 147264.58 125156.32 105569.00 156409.49 154522.11
26 59729.11 334854.49 141320.05 18409.36 43648.63 84994.43 138418.79
27 32197.32 306975.93 125124.52 31395.91 73768.95 58780.90 120582.91
28 88169.08 354766.76 149645.07 42245.44 20848.83 107882.09 148636.47
29 37671.35 272333.90 100169.93 71829.74 106051.27 35590.94 95515.60
30 208205.74 479937.07 268434.83 153218.48 112399.59 232363.97 268817.57
31 216462.69 490199.05 281297.56 161334.17 122239.35 241286.84 280435.97
32 170308.52 425705.18 210111.43 120647.41 81888.51 188679.57 212448.84
33 207026.36 479656.36 269323.45 151998.44 111449.70 231305.39 268892.50
34 206953.75 480426.74 271410.19 151853.02 111877.38 231450.45 270562.91
35 221147.24 494711.84 285385.93 165993.51 126358.05 245800.64 284657.20
36 219402.97 492191.95 282232.64 164101.01 123915.07 243653.65 281637.85
37 317323.80 380614.43 252730.13 317473.50 312799.88 304327.17 261831.52
38 200484.30 474075.87 264840.32 145599.96 105872.49 225249.62 264166.65
15 16 17 18 19 20 21
1 256985.0 88629.94 95275.74 69406.33 23137.81 27015.25 42383.57
2 232178.1 56670.20 57039.53 30903.15 41627.62 58328.04 25373.91
3 255248.1 79625.59 82226.09 47281.89 36641.84 50521.09 17027.17
4 218188.9 43210.90 38846.93 21791.92 60913.95 75497.39 40625.48
5 241042.5 85354.49 73672.18 53804.57 110392.23 127033.68 74226.20
6 212864.1 105107.58 91508.01 97305.07 157645.35 172882.29 126242.08
7 369367.0 328706.99 314512.72 318299.50 378002.98 394253.36 342695.44
8 284568.7 126665.94 118197.28 88425.63 126084.82 142319.72 90296.94
9 414782.5 353630.30 340517.12 335671.72 391346.78 407900.86 354423.26
10 237476.2 134243.04 120321.36 120845.22 178759.27 195407.51 145571.94
11 270859.3 101503.45 99465.19 62490.05 76137.05 90459.16 45715.68
12 254961.7 88925.37 93386.28 64420.80 40522.39 52688.29 38886.54
13 280013.8 137386.37 128275.90 104720.67 147917.35 164216.90 112086.22
14 244637.7 137705.98 125475.24 121509.24 178304.18 194754.42 144112.44
15 0.0 179195.53 182462.61 219629.33 237996.02 240787.01 241717.88
16 179195.5 0.00 16059.81 43833.48 72096.86 82951.56 66189.36
17 182462.6 16059.81 0.00 40705.82 80846.51 93504.16 68488.08
18 219629.3 43833.48 40705.82 0.00 60705.01 76378.18 32436.96
19 237996.0 72096.86 80846.51 60705.01 0.00 17987.06 39770.76
20 240787.0 82951.56 93504.16 76378.18 17987.06 0.00 55055.89
21 241717.9 66189.36 68488.08 32436.96 39770.76 55055.89 0.00
22 237561.0 97974.09 86671.24 74152.51 125944.15 142994.63 92716.12
23 245404.9 96022.31 85269.90 65182.67 119213.95 135707.11 82054.27
24 204425.0 56737.82 50235.68 58502.65 84350.96 99100.10 74621.10
25 160180.1 48560.22 51916.17 81167.50 94489.70 103765.87 98564.25
26 275486.3 106969.34 105014.18 70620.08 78011.26 92692.58 54152.34
27 287437.2 123093.80 118064.57 83655.39 106065.03 121014.70 74625.68
28 246781.1 83364.80 85455.78 59528.36 53021.70 67430.06 43227.68
29 281973.9 136972.52 129199.94 105637.28 138546.46 154739.46 107994.53
30 281018.3 151757.60 163508.30 151115.59 91492.64 75729.01 127825.87
31 299604.3 167160.92 178737.65 163364.46 103364.57 87791.89 138125.56
32 213586.9 88275.06 101063.96 99577.13 56795.78 47420.81 87569.09
33 286578.8 154068.28 165747.39 151718.90 91486.18 75922.18 127480.94
34 292695.6 158169.07 169628.10 154144.38 93805.19 78651.36 128960.51
35 300119.0 170357.08 182104.65 167580.28 107438.33 91797.02 142699.12
36 294250.1 166143.70 178111.12 164426.21 104354.63 88406.04 140023.39
37 114681.7 247087.08 245623.70 278281.71 308048.70 314061.40 301765.62
38 289783.5 152219.87 163404.20 147513.54 87263.54 72376.18 122331.46
22 23 24 25 26 27 28
1 132492.37 122951.21 95824.23 113265.75 75577.53 102663.47 59141.50
2 90256.41 84056.53 53214.67 81918.52 59862.71 81866.04 42720.87
3 104159.98 93217.83 82912.72 109097.28 52002.43 75411.84 44640.58
4 84861.06 76656.26 52259.72 77587.71 79587.67 94236.48 66734.23
5 36817.34 20376.97 79376.25 114205.43 79621.20 71458.76 89341.02
6 65703.16 64649.09 110156.75 127783.65 139038.39 129247.36 141527.21
7 257571.18 262493.10 318376.57 339102.70 334455.20 310381.38 348929.48
8 52620.63 45336.01 106292.51 148349.82 59729.11 32197.32 88169.08
9 267605.70 273051.63 339353.46 364975.82 334854.49 306975.93 354766.76
10 59076.36 68624.34 121499.95 147264.58 141320.05 125124.52 149645.07
11 79432.40 70300.95 89061.52 125156.32 18409.36 31395.91 42245.44
12 107527.66 103206.70 82599.91 105569.00 43648.63 73768.95 20848.83
13 47719.54 48164.38 119878.29 156409.49 84994.43 58780.90 107882.09
14 59496.42 66531.28 130948.29 154522.11 138418.79 120582.91 148636.47
15 237561.05 245404.88 204424.99 160180.13 275486.25 287437.22 246781.14
16 97974.09 96022.31 56737.82 48560.22 106969.34 123093.80 83364.80
17 86671.24 85269.90 50235.68 51916.17 105014.18 118064.57 85455.78
18 74152.51 65182.67 58502.65 81167.50 70620.08 83655.39 59528.36
19 125944.15 119213.95 84350.96 94489.70 78011.26 106065.03 53021.70
20 142994.63 135707.11 99100.10 103765.87 92692.58 121014.70 67430.06
21 92716.12 82054.27 74621.10 98564.25 54152.34 74625.68 43227.68
22 0.00 25291.21 79871.66 113944.89 83254.82 71516.23 91648.08
23 25291.21 0.00 87206.67 121826.50 78712.35 64964.20 90994.14
24 79871.66 87206.67 0.00 51443.88 87423.47 102738.22 67598.60
25 113944.89 121826.50 51443.88 0.00 124954.48 143518.66 95222.07
26 83254.82 78712.35 87423.47 124954.48 0.00 32059.67 37387.13
27 71516.23 64964.20 102738.22 143518.66 32059.67 0.00 65728.55
28 91648.08 90994.14 67598.60 95222.07 37387.13 65728.55 0.00
29 56041.61 64374.31 108212.02 147690.68 68643.06 47113.05 90939.26
30 214493.17 208460.15 161106.89 159240.57 151814.34 181895.59 128280.91
31 226505.07 219341.57 177189.44 177318.06 159785.70 189252.18 139662.07
32 161380.49 158163.66 104284.29 92923.11 122727.26 150313.63 89637.24
33 214830.12 208459.62 163737.08 162965.76 150303.86 180342.33 128126.12
34 216366.62 209811.32 167010.37 167607.25 149889.20 179737.83 129008.11
35 230629.15 223831.29 180212.53 179324.09 164218.65 193883.02 143461.72
36 227719.51 221131.22 176616.77 174675.19 162585.70 192356.05 140737.12
37 268608.06 280529.16 256549.24 226087.30 322433.09 325814.88 299758.00
38 209912.81 203208.66 160692.99 162438.53 143682.82 173564.25 123037.04
29 30 31 32 33 34 35
1 140555.81 88362.08 97910.311 67743.73 87849.264 89213.801 102621.546
2 109459.09 128460.89 141146.578 83485.63 129334.169 131593.930 145259.760
3 113253.05 118517.36 127573.197 87716.39 117683.955 118612.487 132357.229
4 116974.40 146663.71 160016.903 95176.51 148204.028 151152.130 164088.593
5 78177.55 200373.38 211376.740 150917.57 200461.945 202086.648 215896.705
6 119347.74 247390.34 260359.754 187392.72 248492.186 251194.689 264478.433
7 279223.68 467730.93 480176.095 407818.60 468716.078 470702.639 484516.684
8 37671.35 208205.74 216462.692 170308.52 207026.358 206953.747 221147.244
9 272333.90 479937.07 490199.046 425705.18 479656.359 480426.738 494711.841
10 100169.93 268434.83 281297.559 210111.43 269323.455 271410.186 285385.927
11 71829.74 153218.48 161334.172 120647.41 151998.443 151853.021 165993.509
12 106051.27 112399.59 122239.349 81888.51 111449.700 111877.377 126358.048
13 35590.94 232363.97 241286.837 188679.57 231305.393 231450.447 245800.643
14 95515.60 268817.57 280435.968 212448.84 268892.496 270562.905 284657.200
15 281973.94 281018.30 299604.301 213586.88 286578.813 292695.562 300119.012
16 136972.52 151757.60 167160.921 88275.06 154068.283 158169.069 170357.081
17 129199.94 163508.30 178737.645 101063.96 165747.393 169628.100 182104.651
18 105637.28 151115.59 163364.464 99577.13 151718.900 154144.382 167580.281
19 138546.46 91492.64 103364.566 56795.78 91486.178 93805.191 107438.333
20 154739.46 75729.01 87791.888 47420.81 75922.178 78651.358 91797.020
21 107994.53 127825.87 138125.556 87569.09 127480.941 128960.507 142699.124
22 56041.61 214493.17 226505.071 161380.49 214830.123 216366.615 230629.146
23 64374.31 208460.15 219341.570 158163.66 208459.618 209811.323 223831.289
24 108212.02 161106.89 177189.437 104284.29 163737.082 167010.370 180212.526
25 147690.68 159240.57 177318.065 92923.11 162965.755 167607.249 179324.086
26 68643.06 151814.34 159785.700 122727.26 150303.858 149889.202 164218.649
27 47113.05 181895.59 189252.180 150313.63 180342.328 179737.835 193883.022
28 90939.26 128280.91 139662.071 89637.24 128126.120 129008.109 143461.717
29 0.00 217293.41 226633.517 176875.59 216426.232 216343.761 230778.538
30 217293.41 0.00 21251.012 75023.45 10127.638 16377.362 21913.649
31 226633.52 21251.01 0.000 94040.57 14575.132 11336.729 5732.266
32 176875.59 75023.45 94040.573 0.00 80465.971 85721.534 95848.155
33 216426.23 10127.64 14575.132 80465.97 0.000 7246.075 16693.968
34 216343.76 16377.36 11336.729 85721.53 7246.075 0.000 14592.490
35 230778.54 21913.65 5732.266 95848.15 16693.968 14592.490 0.000
36 228736.60 17014.89 8909.463 90299.76 13400.546 13702.926 6459.111
37 307344.00 360206.97 379696.717 287358.04 366116.375 371589.190 380613.088
38 210367.57 17279.33 17141.486 81893.55 9193.120 7498.412 21114.651
36 37 38
1 100360.783 324961.5 82261.308
2 142365.313 292652.4 124732.312
3 130211.910 316469.5 111790.392
4 160906.822 278785.7 144312.103
5 213289.895 282837.6 195256.830
6 261092.670 244121.3 244625.621
7 481489.750 335743.3 464015.570
8 219402.968 317323.8 200484.297
9 492191.946 380614.4 474075.872
10 282232.642 252730.1 264840.323
11 164101.006 317473.5 145599.956
12 123915.073 312799.9 105872.492
13 243653.651 304327.2 225249.620
14 281637.851 261831.5 264166.648
15 294250.101 114681.7 289783.480
16 166143.697 247087.1 152219.870
17 178111.123 245623.7 163404.200
18 164426.211 278281.7 147513.539
19 104354.631 308048.7 87263.535
20 88406.038 314061.4 72376.183
21 140023.391 301765.6 122331.457
22 227719.509 268608.1 209912.808
23 221131.224 280529.2 203208.663
24 176616.772 256549.2 160692.989
25 174675.189 226087.3 162438.529
26 162585.699 322433.1 143682.816
27 192356.048 325814.9 173564.253
28 140737.117 299758.0 123037.036
29 228736.603 307344.0 210367.573
30 17014.895 360207.0 17279.329
31 8909.463 379696.7 17141.486
32 90299.763 287358.0 81893.547
33 13400.546 366116.4 9193.120
34 13702.926 371589.2 7498.412
35 6459.111 380613.1 21114.651
36 0.000 374580.1 20106.263
37 374580.071 0.0 368329.212
38 20106.263 368329.2 0.000Pembentukan Matriks Pusat (B)
Penentuan Nilai Eigen dan Vektor Eigen
> eigen_result = eigen(B)
> eigen_values = eigen_result$values
> eigen_values
[1] 4.719148e+11 1.466536e+11 1.542172e+10 4.765644e+09 2.528552e+09
[6] 1.168784e+08 3.443301e-05 2.718865e-05 1.837536e-05 1.706808e-05
[11] 1.304463e-05 9.767325e-06 9.679084e-06 9.276085e-06 8.955942e-06
[16] 8.821301e-06 7.815826e-06 5.089358e-06 2.422073e-06 1.529949e-06
[21] 1.151240e-06 1.133202e-06 5.401126e-07 3.537230e-07 4.115769e-08
[26] -7.101617e-07 -1.380846e-06 -2.821658e-06 -3.361339e-06 -4.472029e-06
[31] -5.105545e-06 -6.917296e-06 -1.233762e-05 -1.285020e-05 -1.362979e-05
[36] -1.526024e-05 -4.375277e-05 -4.407255e-05
> eigen_vectors = eigen_result$vectors
> eigen_vectors
[,1] [,2] [,3] [,4] [,5]
[1,] -0.092651258 -0.0521290400 -0.112512610 0.063104265 0.158819400
[2,] -0.030077660 -0.0183870102 -0.104585613 -0.156501009 0.120735750
[3,] -0.049708918 -0.0743821110 -0.100756439 0.097971324 0.101782195
[4,] -0.006802353 0.0145502882 -0.243230012 -0.100686797 0.223230995
[5,] 0.072592408 -0.0579996889 -0.182515240 0.008947366 0.052588593
[6,] 0.140051953 0.0425774130 -0.297559262 0.112724500 -0.057517159
[7,] 0.463512429 -0.0319756866 -0.290478226 -0.070085242 0.359603463
[8,] 0.071572061 -0.1713186759 0.094672574 -0.020074175 0.088606642
[9,] 0.473686690 -0.1966167039 0.177330487 0.245063563 -0.135743315
[10,] 0.175476385 -0.0063861064 -0.064715366 -0.144065073 -0.032476260
[11,] -0.005730942 -0.1294757343 0.118352068 0.108592127 0.125214391
[12,] -0.058888010 -0.0668805519 0.156907702 0.012033522 -0.106557353
[13,] 0.109863827 -0.1513833764 0.192732301 0.120555505 -0.136154090
[14,] 0.174239264 -0.0309603120 -0.025090448 0.124538336 -0.378401309
[15,] 0.047460236 0.5655960039 -0.062412352 0.123691212 -0.382767890
[16,] -0.006185608 0.1114800962 -0.194250158 0.001378275 -0.168440322
[17,] 0.013047736 0.0992524026 -0.218406438 -0.086718595 -0.092703062
[18,] 0.002212413 0.0009143971 -0.173039002 0.082199591 -0.039010211
[19,] -0.083958988 -0.0080927453 -0.075497408 0.043993180 -0.116766287
[20,] -0.107532199 0.0032481536 -0.079915372 0.132202770 -0.073474484
[21,] -0.032801722 -0.0463218272 -0.093126806 0.167752870 0.028609228
[22,] 0.095760508 -0.0444696382 0.066083697 -0.110461894 -0.090801066
[23,] 0.085529556 -0.0686038093 -0.052795907 0.105127511 0.062382140
[24,] 0.009813097 0.0579617488 0.014457065 -0.615274804 0.106414548
[25,] -0.009471781 0.1750568957 0.018137754 -0.458484261 -0.251000930
[26,] -0.011411548 -0.1390840272 0.175508048 -0.095935351 -0.026955948
[27,] 0.027921502 -0.1769185986 0.185366639 0.008524675 0.089239755
[28,] -0.035018555 -0.0524728624 0.209583368 -0.125522909 -0.093293977
[29,] 0.081899418 -0.1520549770 0.358452596 -0.193762650 -0.106494177
[30,] -0.214402271 0.0069648555 0.022114659 0.005861862 0.129001925
[31,] -0.232880575 -0.0309921367 -0.002798195 0.095977769 0.019327276
[32,] -0.121322950 0.1064004223 0.065412759 0.081264008 0.242763996
[33,] -0.215868433 -0.0118428355 0.013644559 0.036698563 -0.001739479
[34,] -0.218534229 -0.0287342753 0.029131133 0.052664917 -0.027659744
[35,] -0.239018819 -0.0232114455 0.012302653 0.073653883 0.008745937
[36,] -0.234343018 -0.0097268593 0.024139769 0.090003120 0.028978454
[37,] 0.171150842 0.6286975471 0.433567142 0.158284046 0.388055044
[38,] -0.209180484 -0.0322791891 0.005787880 0.024763999 -0.016142666
[,6] [,7] [,8] [,9] [,10]
[1,] 0.037154288 0.00000000 0.000000000 0.00000000 -0.769487203
[2,] -0.030709422 0.35378013 0.005668678 -0.52299684 -0.072382767
[3,] -0.051369137 0.07853219 -0.563497649 -0.17732886 0.124675794
[4,] -0.031546368 0.05209763 -0.315762438 0.32069682 0.038045560
[5,] -0.074712038 -0.31321158 0.423282371 -0.19186292 0.046994168
[6,] 0.126342200 -0.02931412 0.114808349 -0.20053103 -0.011093887
[7,] -0.305277162 -0.04827049 0.001485021 0.19091794 -0.251034533
[8,] 0.101280401 -0.09575978 -0.142499589 0.24462912 -0.043665587
[9,] -0.313366092 -0.30302271 -0.086298524 -0.17443453 0.126837482
[10,] 0.141543278 0.10322394 0.209728171 -0.12279967 -0.009680310
[11,] 0.054604362 0.02918877 0.136015524 0.13561306 0.059015417
[12,] -0.087975291 0.08849822 -0.104773550 -0.22324970 -0.171775819
[13,] 0.088790104 0.04768132 0.014626776 -0.00374433 -0.221690841
[14,] 0.294292195 -0.07803187 -0.115377668 0.05686420 -0.173231658
[15,] -0.359949225 0.13913957 0.066288184 0.20535473 -0.037735690
[16,] 0.321849562 -0.16080073 -0.113106930 0.05320984 -0.052018722
[17,] 0.232675053 -0.20999879 -0.072601014 0.01949158 0.035363101
[18,] -0.034689039 -0.12246716 0.010127271 -0.04298460 0.002304696
[19,] -0.021717197 -0.18417820 -0.074742644 -0.04680214 -0.039042433
[20,] 0.029767207 -0.02460577 -0.013109387 -0.29718941 -0.093311897
[21,] 0.076521690 -0.05101933 -0.003933691 -0.08176256 -0.024846726
[22,] 0.066786689 -0.03859889 -0.144169132 0.03522672 -0.109342203
[23,] 0.294298995 -0.03005014 0.137317284 0.01112276 0.092245497
[24,] 0.151693749 -0.19449372 0.081975152 -0.01189831 0.099741842
[25,] -0.259696681 -0.11377873 -0.110050868 -0.11623707 -0.156488125
[26,] -0.071296877 -0.11056885 -0.113484562 -0.07590181 -0.119234879
[27,] -0.034248285 0.06982207 0.047215434 0.06403431 -0.007167092
[28,] 0.041090393 -0.05173909 -0.168184839 -0.04549192 -0.108312197
[29,] -0.004947480 0.02244323 0.159197905 0.12074725 -0.048350478
[30,] -0.123468157 -0.24131285 0.038946371 -0.20258032 0.013816054
[31,] -0.058385126 0.09389604 0.233465444 0.15623451 -0.039828666
[32,] -0.224921104 -0.19198257 -0.044373185 -0.06996998 0.053414611
[33,] -0.039730771 -0.44679645 -0.089883076 0.02074555 0.064688592
[34,] -0.116913395 0.05485806 0.191171969 0.07990345 -0.085813336
[35,] -0.043768450 -0.06136717 0.011501270 0.13238167 0.013460868
[36,] 0.003954449 0.04238205 -0.098734913 -0.01345182 0.053767160
[37,] 0.268636420 -0.12061712 -0.037047055 -0.12538863 -0.101982961
[38,] -0.042593739 -0.30729187 0.078882931 0.07305835 -0.246879042
[,11] [,12] [,13] [,14] [,15]
[1,] 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
[2,] 0.30821329 -0.03735928 -0.064045224 -0.0009560447 -0.105654287
[3,] -0.28590546 0.08738900 -0.003483605 -0.1102053961 -0.148230887
[4,] 0.10453831 0.23455573 0.017412386 0.1840381334 -0.144449637
[5,] -0.12672860 0.35798734 0.133451703 -0.1379827206 -0.258210782
[6,] 0.23725683 0.22340750 0.017348260 0.1587118716 0.041498213
[7,] -0.09191785 -0.15822520 -0.003224092 -0.1011814227 0.103150499
[8,] 0.06934404 0.10451314 -0.046694703 0.1905964350 -0.057238384
[9,] -0.07364262 0.03070324 0.094446150 0.0202183650 0.104883048
[10,] -0.19071868 -0.25270020 0.017757055 0.2573569600 -0.225820922
[11,] 0.15778813 -0.05828733 0.104735426 -0.0971941928 -0.302509065
[12,] -0.03047864 0.15208727 0.339240071 0.1682090108 0.191336713
[13,] -0.04110929 0.10284749 -0.006685421 0.2535912189 0.302837712
[14,] -0.10842967 -0.24078084 0.009591037 0.0514236689 -0.515369047
[15,] 0.21102580 0.01029919 0.110321287 0.1501993680 -0.105809730
[16,] -0.09958634 0.21376432 -0.116540340 -0.1776401026 0.149977972
[17,] 0.05370486 0.09441732 -0.052086631 0.2289278149 0.061155086
[18,] -0.02785870 -0.08494477 -0.144098626 -0.3210177756 -0.034413963
[19,] -0.10909916 -0.12920056 -0.196451757 0.0171444316 -0.052542178
[20,] -0.10291802 -0.05825853 -0.045944784 0.0004595756 0.072372787
[21,] 0.01266479 0.25549757 0.174145575 -0.0163028285 -0.160622470
[22,] 0.24026217 0.07893144 0.162198101 -0.2788749531 -0.089904441
[23,] 0.33448572 0.05490995 -0.148686398 -0.0702820049 0.225841699
[24,] -0.15860461 -0.05002396 0.274163654 0.1213099033 0.026766418
[25,] -0.00171296 0.10028912 -0.208926692 -0.1722119867 0.039178092
[26,] 0.27672936 0.05543943 -0.071641668 -0.1235274399 -0.155661215
[27,] 0.14509733 -0.06886277 -0.249372236 0.1782297825 -0.138595026
[28,] 0.09603241 0.14642101 0.048761005 -0.1032017218 -0.169347865
[29,] -0.06706085 0.20128170 -0.124909298 -0.0697450408 -0.038308294
[30,] 0.04562958 -0.18705320 -0.045344877 0.1911707241 -0.111282845
[31,] -0.04325443 -0.07398495 0.115758706 -0.3930915403 -0.028072341
[32,] 0.09021096 0.16960113 -0.092805588 0.2327016351 -0.246537301
[33,] 0.27104883 -0.27346672 -0.166118295 -0.0135376035 0.153977065
[34,] -0.33791644 0.30241058 -0.466128092 0.1328240435 -0.047523911
[35,] 0.03065564 0.20412658 0.311455019 0.0061368862 0.009739217
[36,] -0.21856964 -0.15161395 0.208169534 -0.0079608331 0.088843346
[37,] -0.09922687 0.03988494 -0.037438957 -0.1052626590 -0.018627730
[38,] 0.02168303 -0.14651039 0.237453979 0.1336836594 0.025780764
[,16] [,17] [,18] [,19] [,20]
[1,] 0.00000000 0.000000000 0.00000000 0.0000000000 0.00000000
[2,] 0.06979040 0.079595084 0.01261326 0.0141290116 -0.02763379
[3,] -0.18645998 -0.150327180 -0.02409784 0.0158744759 0.10891053
[4,] 0.16638742 -0.136214888 0.12673349 -0.0015110718 -0.05960016
[5,] -0.13374639 -0.142997009 0.02825932 0.0843275897 -0.03935552
[6,] -0.05729531 -0.020663664 0.22204841 -0.3420992744 -0.17955841
[7,] 0.02443192 -0.163096899 -0.07246497 -0.0659185720 -0.04069367
[8,] 0.08736192 0.208561239 -0.19175327 0.3190029856 -0.11395471
[9,] -0.00465972 0.040453881 0.01799096 0.0289644526 0.06179052
[10,] 0.21946784 -0.065028124 -0.27214319 0.0326991164 0.15514026
[11,] -0.12948482 -0.079069592 0.05923889 0.0637777945 0.23164087
[12,] -0.19333516 -0.011327947 -0.20593856 -0.1272798474 -0.29727177
[13,] 0.07299907 -0.176237995 -0.05835673 0.1371049294 0.01939563
[14,] -0.09399046 -0.022849166 -0.12387476 -0.1309792517 -0.11732114
[15,] -0.03907818 -0.160915427 -0.04414619 0.1384381063 -0.02516092
[16,] -0.12214732 -0.208681837 -0.17024792 0.0141699214 0.11768936
[17,] 0.02163266 0.197869016 0.11725284 0.2550598186 -0.11581620
[18,] 0.04376786 0.242771248 -0.15669464 0.1645834003 -0.33851522
[19,] 0.17126022 0.083195834 0.40228737 -0.2781736108 -0.10091126
[20,] 0.13157262 0.003278355 0.09633998 0.3825782071 0.32246860
[21,] 0.29599694 0.048851886 -0.06987986 0.2588419644 -0.23234920
[22,] -0.04314240 0.338407677 -0.26908947 -0.3268882733 0.12187625
[23,] -0.02327176 -0.185838835 -0.31067037 -0.0404448185 0.15677390
[24,] -0.19512972 -0.054751170 0.02437508 0.0329629998 -0.06937800
[25,] -0.01797331 0.049068202 -0.16903967 0.1347963821 0.05483551
[26,] -0.16616249 -0.056261312 0.21743822 0.2155588025 -0.07156259
[27,] -0.48467832 -0.048897087 0.02834165 0.1639320845 -0.24845800
[28,] 0.20357964 -0.492610514 0.10382506 -0.0524789975 0.11125625
[29,] 0.43516343 0.023341673 0.11015531 -0.1298898612 -0.14385764
[30,] 0.10855559 -0.321312165 -0.22812876 -0.0708212867 -0.18974532
[31,] 0.04299204 -0.097494133 -0.03039391 0.1322713311 -0.15036160
[32,] 0.13594985 0.233475172 -0.29580043 -0.1092613370 0.22084944
[33,] 0.07460035 -0.174197209 -0.10521266 -0.0889622926 -0.10792316
[34,] -0.20073422 0.024912292 -0.11463726 -0.1912050781 0.04208084
[35,] -0.01652213 0.007825273 -0.09014450 -0.0844655198 0.05060983
[36,] 0.07487640 -0.011584318 -0.11502007 -0.0460858659 -0.24565196
[37,] -0.03314832 0.030828465 0.08326341 -0.0003896831 -0.09767463
[38,] -0.12085621 0.195612928 0.21149315 -0.0040058493 0.31664191
[,21] [,22] [,23] [,24] [,25]
[1,] 0.000000000 0.000000000 0.00000000 0.000000e+00 0.0000000000
[2,] -0.017068207 0.057586876 0.15426814 2.991475e-02 0.0824468207
[3,] -0.052201796 -0.161849670 -0.27232082 -5.170155e-02 0.0358880559
[4,] 0.240267670 0.066068764 0.00504689 -6.120143e-02 -0.1551039772
[5,] 0.145197338 -0.102713484 0.03264503 -1.470562e-01 -0.1204723146
[6,] -0.203472039 0.153827148 -0.19013441 8.181207e-02 0.0294162318
[7,] 0.062735661 -0.013317184 0.12204414 2.314544e-02 0.0002447644
[8,] -0.223865042 -0.021754591 -0.16653926 -1.557312e-01 0.1984766442
[9,] -0.002022492 0.043816864 0.07455671 4.140676e-02 0.0369466160
[10,] 0.044700401 -0.169505954 -0.30145837 -1.575941e-01 0.0326380362
[11,] -0.166053681 0.179818993 0.21447953 1.961485e-01 0.0432607261
[12,] 0.067520385 -0.134899915 0.09414055 -2.179060e-01 -0.1346781944
[13,] -0.160271660 0.168035467 -0.11168944 1.087264e-01 0.0598839239
[14,] -0.038701128 0.006529826 0.24010768 2.568479e-02 -0.1180726056
[15,] 0.126833803 0.007544292 -0.13990189 -1.287971e-01 0.1189266108
[16,] 0.181266640 0.051467345 -0.02611927 2.373913e-01 0.2304512076
[17,] 0.050482367 -0.022338527 0.33065638 -6.620735e-02 -0.1589489805
[18,] -0.132333118 0.502973604 -0.32440591 -2.038771e-01 -0.2045869061
[19,] 0.006085718 -0.288106770 -0.26155681 2.323302e-02 -0.0193734113
[20,] 0.437180709 0.234665287 -0.01588109 -7.265888e-05 -0.0804428028
[21,] -0.066682074 -0.292568014 0.05455417 3.050127e-01 0.2086165978
[22,] 0.349734628 0.083219256 -0.08933665 1.835587e-02 0.1899512401
[23,] 0.027021149 -0.318301831 -0.12641340 -2.302898e-01 -0.2982961950
[24,] -0.025622483 0.159284787 -0.08286023 -4.487798e-02 0.1501054286
[25,] -0.250122130 -0.205184522 0.04126956 3.116741e-01 -0.2584152590
[26,] 0.099860260 -0.136944025 -0.03122119 -3.703339e-01 0.3264223621
[27,] 0.291128168 -0.035186770 -0.21563452 3.347927e-01 -0.2962974877
[28,] -0.216220057 0.237090380 0.02001894 -1.930828e-01 -0.2641744199
[29,] 0.325690061 0.011386970 -0.07027273 6.297262e-02 -0.0679732897
[30,] 0.090299841 0.127101062 -0.13081838 2.211234e-01 0.2247480738
[31,] -0.111928579 -0.195784792 -0.04832663 -1.732341e-02 0.0186005455
[32,] -0.064840547 0.015522258 0.04330414 -1.867438e-02 -0.1747541694
[33,] 0.041948704 -0.027389560 0.19666926 -6.163460e-02 0.1244990057
[34,] -0.034202607 0.104718869 0.18078937 -2.138649e-01 0.2188912497
[35,] -0.015934317 0.117809189 -0.19372347 2.249434e-01 -0.1024927476
[36,] 0.179512072 0.015232910 0.21742600 -8.730448e-02 -0.1887506420
[37,] -0.004022325 -0.023341914 -0.02819155 -2.274268e-03 -0.0236429085
[38,] -0.051574959 -0.093771734 -0.17506761 -4.257574e-02 -0.1172773099
[,26] [,27] [,28] [,29] [,30]
[1,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
[2,] 0.155146379 0.092372719 0.022295690 0.03578403 -0.042428894
[3,] -0.104295710 -0.177826683 -0.014161555 -0.05445965 0.142615877
[4,] 0.122976418 0.173448786 0.092111919 0.08287714 -0.059236487
[5,] 0.160770679 0.300343039 0.019121597 -0.06066854 -0.107135754
[6,] -0.403593415 -0.015529476 0.131422832 -0.04749176 -0.002103471
[7,] -0.015080774 -0.141913904 -0.014192376 0.02153406 0.055267392
[8,] -0.052075703 0.407256608 0.095115582 -0.28521918 -0.162273011
[9,] 0.004854631 0.001897252 -0.039965156 -0.01098414 0.025877470
[10,] 0.033699508 0.059348984 0.090699571 0.01196144 0.377013345
[11,] 0.307361292 -0.084106582 0.294793873 0.01698378 0.273545564
[12,] 0.066719648 0.049479849 0.298236202 -0.08700279 0.245715048
[13,] 0.252949975 -0.122619459 0.110173115 0.21688422 -0.066982276
[14,] -0.114219594 0.032311576 -0.025051838 0.17920769 -0.224356744
[15,] 0.084457785 -0.136638171 0.043001125 -0.06787448 -0.050626644
[16,] -0.068836785 0.110378031 0.247260864 0.15444597 0.117552597
[17,] 0.018555014 -0.186504996 -0.230089320 -0.07469817 0.528246707
[18,] 0.154383957 -0.144457361 0.018151377 0.10995806 0.078360279
[19,] 0.480633030 -0.021377276 0.228662348 -0.01311518 -0.025369716
[20,] -0.104244161 -0.010024989 0.175403999 -0.12950541 -0.153760943
[21,] 0.104608166 -0.426405190 -0.068019266 -0.13027075 -0.175370880
[22,] 0.151805383 -0.091072211 -0.099521098 -0.29481840 0.025156842
[23,] 0.120892840 -0.201149359 -0.149129058 0.09208788 -0.187456686
[24,] 0.042548021 -0.341341205 0.171499187 0.02160787 -0.251512852
[25,] 0.014860113 0.149581732 -0.004486317 0.05437567 -0.025404109
[26,] -0.085121218 -0.053534502 -0.087267331 0.49430587 0.061361980
[27,] -0.034829316 -0.107889695 0.055954550 -0.17375625 0.004802847
[28,] 0.001923335 -0.111743536 -0.102752909 -0.34380980 0.022245418
[29,] -0.241247761 -0.093833201 0.044367187 0.10562217 0.125790298
[30,] -0.028106078 0.094208661 -0.386364224 -0.01201013 0.083618084
[31,] -0.292593861 -0.063342755 0.214645680 -0.09159250 0.163567141
[32,] -0.209371832 -0.224289682 0.325971190 0.24234650 -0.053263345
[33,] 0.003984388 0.034919035 0.294185451 -0.14462509 0.056023558
[34,] 0.109992992 -0.163627693 -0.128064225 -0.13443554 -0.006524720
[35,] 0.151052736 0.164840887 -0.207154680 0.31611464 0.177806585
[36,] 0.028507664 0.001782942 -0.026022371 0.14005358 -0.225128287
[37,] 0.046244487 0.089202004 -0.024678416 -0.01287178 0.039283753
[38,] -0.133419711 -0.074453806 -0.167199592 -0.07167972 -0.025518626
[,31] [,32] [,33] [,34] [,35]
[1,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[2,] 0.149103389 -0.089496829 0.523133191 0.039351981 0.123305701
[3,] -0.121482465 0.151858741 0.172692007 0.063422702 -0.010454081
[4,] -0.069728684 0.100172917 -0.011569393 -0.260665911 0.180785119
[5,] 0.140820817 0.173436713 -0.049445245 0.118775575 0.012826598
[6,] -0.193621381 0.134824532 0.003194014 -0.077193873 -0.328770417
[7,] -0.067827786 -0.051540910 0.078238231 0.105069248 -0.094490797
[8,] -0.126715312 -0.155550770 0.194424427 0.178010475 -0.184087927
[9,] 0.008581694 -0.091030419 0.288466373 -0.091246124 0.032836428
[10,] 0.129721058 0.162253068 0.016023332 -0.277437686 -0.172032704
[11,] -0.305626294 -0.166107010 -0.036067892 -0.085700237 -0.280370469
[12,] -0.185674990 -0.249572435 -0.181326429 -0.092038613 0.172530170
[13,] 0.142613139 0.412532524 -0.040499083 0.223628315 0.030010399
[14,] -0.156868223 0.053227985 0.103890198 0.055159545 0.213307287
[15,] -0.012221142 -0.066317412 0.160044341 0.069266495 -0.069849318
[16,] 0.328889722 -0.396808721 0.106942764 -0.016998447 -0.041489590
[17,] -0.002988664 0.059292177 0.091809035 0.292512981 -0.052756724
[18,] 0.036098365 -0.106328543 -0.038010696 -0.179507438 0.082428163
[19,] -0.057254337 -0.151977195 0.028368806 0.273680693 -0.065422332
[20,] -0.391596427 0.057796294 -0.051002342 0.043823930 -0.032945867
[21,] 0.047132724 -0.024399892 -0.078504951 -0.310444057 0.009721143
[22,] 0.039279580 0.245800560 -0.094556097 0.143139153 -0.117122179
[23,] -0.269724664 -0.147234695 0.125998449 0.021462792 -0.008136959
[24,] -0.137031483 -0.012266439 0.162528940 0.073350267 0.084082622
[25,] -0.200072300 0.105530975 -0.068290706 -0.127928520 -0.192616975
[26,] -0.001971711 0.034439192 -0.138435852 -0.042490434 -0.185890973
[27,] 0.200603953 0.039564456 0.065433433 -0.017780877 -0.061185055
[28,] 0.238145494 -0.090993495 0.003716977 0.053165230 -0.088838792
[29,] -0.142746424 -0.118466784 0.210556103 -0.039624622 0.020000601
[30,] -0.188268362 -0.208297807 -0.177133376 0.201572380 0.033370583
[31,] -0.049043510 0.154431204 0.203275208 0.283879035 0.137997998
[32,] 0.192867163 -0.053464231 -0.094211349 0.266237109 0.022001491
[33,] 0.023445648 0.355764149 0.176373052 -0.269098241 0.093918268
[34,] -0.138098725 0.037451271 0.192171317 -0.167676317 -0.042224082
[35,] -0.171106026 0.162525493 0.351187752 0.001337415 0.041644476
[36,] 0.145316296 0.005649654 0.163316434 -0.003784771 -0.674555457
[37,] -0.066736470 0.085855955 0.079739176 -0.079679544 0.003258791
[38,] 0.148359625 -0.179542124 0.183734527 -0.255428265 0.035838769
[,36] [,37] [,38]
[1,] 0.000000000 0.000000000 0.594426171
[2,] -0.100443969 0.002165606 -0.133520963
[3,] -0.251178907 0.279838499 0.093667115
[4,] -0.231923860 -0.400905663 -0.043554929
[5,] -0.166789631 0.206041369 0.022185466
[6,] -0.011736851 -0.064928018 -0.049615874
[7,] 0.163482713 0.171936883 -0.380062588
[8,] 0.041643662 0.095300003 -0.070347471
[9,] -0.002269416 -0.393695538 0.284184951
[10,] 0.110866048 -0.136802392 0.017134303
[11,] -0.226060884 0.049105652 0.038153428
[12,] 0.035640302 0.026406779 -0.175017528
[13,] -0.296865693 -0.002732283 -0.228621307
[14,] 0.015644071 0.013470912 -0.135069134
[15,] -0.080551174 0.127448234 0.107971527
[16,] 0.007097672 -0.058487812 -0.070553022
[17,] -0.045197260 -0.016237824 0.034606955
[18,] -0.081649729 0.027039337 -0.025479541
[19,] 0.132759556 -0.092357136 -0.050741970
[20,] 0.201113986 -0.047678536 -0.148659055
[21,] 0.130165296 0.025113002 -0.089201560
[22,] -0.072621565 -0.131313793 -0.086197129
[23,] -0.070212943 -0.052712224 0.070511257
[24,] 0.042614285 -0.083378675 0.165869305
[25,] -0.090969317 -0.104540962 -0.053298349
[26,] 0.140254408 -0.085237419 -0.113262871
[27,] 0.131382818 -0.037189207 -0.007962322
[28,] 0.248972683 -0.057323958 -0.074917144
[29,] -0.228737020 0.303011360 0.054020801
[30,] -0.215086763 -0.133692729 -0.038108450
[31,] -0.073830347 -0.454030474 -0.102807797
[32,] 0.072490961 -0.021021198 0.012517103
[33,] 0.042754459 0.235297159 0.050689199
[34,] 0.058366385 -0.156790485 -0.133047050
[35,] 0.476375739 0.098106695 -0.026956970
[36,] -0.115140332 -0.078008087 0.019247296
[37,] -0.014906590 -0.067950620 -0.105416178
[38,] -0.314888414 0.012582784 -0.349579121Perhitungan Tingkat Kumulatif Variasi
> cumulative_variance = cumsum(eigen_values)/sum(eigen_values)
> cumulative_variance
[1] 0.7357560 0.9644017 0.9884455 0.9958755 0.9998178 1.0000000 1.0000000
[8] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[15] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[22] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[29] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[36] 1.0000000 1.0000000 1.0000000Pembentukan Koordinat Objek 2 Dimensi
> fit2 = cmdscale(D, k = 2)
> colnames(fit2) = c("Dimensi 1", "Dimensi 2")
> fit2
Dimensi 1 Dimensi 2
1 -63647.760 -19963.0154
2 -20662.166 -7041.3759
3 -34148.066 -28484.9141
4 -4672.948 5572.0885
5 49868.121 -22211.2029
6 96210.167 16305.1833
7 318414.754 -12245.2116
8 49167.182 -65607.1426
9 325404.070 -75295.1192
10 120545.354 -2445.5839
11 -3936.931 -49583.2280
12 -40453.740 -25612.1633
13 75472.115 -57972.8434
14 119695.501 -11856.3700
15 32603.310 216597.1543
16 -4249.269 42691.7295
17 8963.280 38009.0874
18 1519.840 350.1719
19 -57676.513 -3099.1478
20 -73870.379 1243.8928
21 -22533.489 -17739.1210
22 65783.691 -17029.8181
23 58755.431 -26272.0913
24 6741.210 22196.6735
25 -6506.740 67038.7082
26 -7839.283 -53262.7605
27 19180.970 -67751.6544
28 -24056.366 -20094.6835
29 56261.669 -58230.0354
30 -147285.903 2667.2181
31 -159979.769 -11868.5573
32 -83344.081 40746.4489
33 -148293.098 -4535.2592
34 -150124.395 -11003.9007
35 -164196.500 -8888.9119
36 -160984.409 -3724.9380
37 117573.877 240762.1317
38 -143698.741 -12361.4390Visualisasi Hasil MDS 2 Dimensi
> plot(fit2, type = "n", xlab = "Dimensi 1", ylab = "Dimensi 2", main = "Plot MDS 2 Dimensi")
> abline(h = 0, v = 0, col = "grey", lty = 2)
> points(fit2, pch = 16, col = "orange")
> text(fit2, labels = rownames(D), pos = 4, col = "black")
Pembentukan Koordinat Objek 3 Dimensi
> fit3 = cmdscale(D, k = 3)
> colnames(fit3) = c("Dimensi 1", "Dimensi 2", "Dimensi 3")
> fit3
Dimensi 1 Dimensi 2 Dimensi 3
1 -63647.760 -19963.0154 -13972.2927
2 -20662.166 -7041.3759 -12987.8847
3 -34148.066 -28484.9141 -12512.3616
4 -4672.948 5572.0885 -30205.3336
5 49868.121 -22211.2029 -22665.5160
6 96210.167 16305.1833 -36952.1702
7 318414.754 -12245.2116 -36072.8171
8 49167.182 -65607.1426 11756.8414
9 325404.070 -75295.1192 22021.6514
10 120545.354 -2445.5839 -8036.6284
11 -3936.931 -49583.2280 14697.4613
12 -40453.740 -25612.1633 19485.4634
13 75472.115 -57972.8434 23934.3140
14 119695.501 -11856.3700 -3115.8382
15 32603.310 216597.1543 -7750.6303
16 -4249.269 42691.7295 -24122.8078
17 8963.280 38009.0874 -27122.6371
18 1519.840 350.1719 -21488.7166
19 -57676.513 -3099.1478 -9375.5880
20 -73870.379 1243.8928 -9924.2295
21 -22533.489 -17739.1210 -11564.8814
22 65783.691 -17029.8181 8206.5536
23 58755.431 -26272.0913 -6556.4195
24 6741.210 22196.6735 1795.3396
25 -6506.740 67038.7082 2252.4231
26 -7839.283 -53262.7605 21795.3332
27 19180.970 -67751.6544 23019.6148
28 -24056.366 -20094.6835 26026.9508
29 56261.669 -58230.0354 44514.1625
30 -147285.903 2667.2181 2746.2920
31 -159979.769 -11868.5573 -347.4917
32 -83344.081 40746.4489 8123.2336
33 -148293.098 -4535.2592 1694.4391
34 -150124.395 -11003.9007 3617.6275
35 -164196.500 -8888.9119 1527.7956
36 -160984.409 -3724.9380 2997.7788
37 117573.877 240762.1317 53842.2052
38 -143698.741 -12361.4390 718.7635Visualisasi Hasil MDS 3 Dimensi
Evaluasi Model MDS
Model MDS 2 Dimensi
Perhitungan Disparatis
> disparaties2d = as.matrix(dist(fit2))
> disparaties2d
1 2 3 4 5 6 7
1 0.00 44885.74 30705.939 64265.620 113538.141 163920.53 382140.46
2 44885.74 0.00 25331.696 20365.524 72143.225 119181.39 339116.85
3 30705.94 25331.70 0.000 45040.671 84250.098 137838.39 352936.64
4 64265.62 20365.52 45040.671 0.000 61209.798 101452.46 323578.61
5 113538.14 72143.23 84250.098 61209.798 0.000 60258.59 268731.49
6 163920.53 119181.39 137838.390 101452.463 60258.587 0.00 224031.26
7 382140.46 339116.85 352936.638 323578.614 268731.493 224031.26 0.00
8 121698.80 91137.74 91211.241 89248.208 43401.600 94459.89 274484.52
9 392966.88 352732.78 362586.450 339838.702 280602.854 246820.71 63436.12
10 185024.22 141282.29 156869.694 125474.724 73389.039 30721.21 198111.92
11 66653.88 45711.52 36849.037 55160.227 60367.303 119877.95 324506.91
12 23872.06 27140.02 6929.229 47462.855 90385.867 142947.85 359117.35
13 144218.88 108792.53 113517.056 102279.957 43982.491 77118.69 247208.70
14 183522.39 140440.23 154739.625 125583.687 70590.975 36669.25 198719.63
15 255391.82 229894.33 254009.776 214292.085 239431.629 210149.25 366137.97
16 86335.38 52371.41 77201.377 37122.059 84504.926 103866.97 327307.41
17 92914.63 53918.56 79246.706 35186.725 72798.965 89905.94 313505.52
18 68260.10 23381.11 45865.692 8100.558 53353.274 96025.10 317145.12
19 17889.82 37223.69 34612.497 53708.177 109229.661 155105.25 376202.46
20 23542.19 53849.42 49615.160 69332.660 125941.883 170746.11 392516.98
21 41174.37 10860.18 15823.099 29366.842 72539.593 123527.61 340992.50
22 129464.68 87021.00 100586.159 73993.136 16737.746 45133.06 252676.37
23 122565.68 81712.76 92929.846 70973.312 9771.136 56706.98 260037.92
24 82049.05 40072.54 65119.553 20165.809 61903.068 89662.72 313570.79
25 104088.40 75420.39 99442.472 61493.968 105563.590 114562.88 334454.66
26 64988.15 47967.10 36139.919 58919.989 65531.242 125163.84 328822.35
27 95626.11 72616.89 66225.848 77106.295 54914.788 114013.37 304338.34
28 39591.61 13487.38 13123.962 32163.645 73954.779 125654.24 342561.06
29 125867.53 92398.89 95177.163 88225.498 36581.877 84565.84 266155.68
30 86645.64 126995.38 117348.309 142642.536 198717.500 243877.70 465939.36
31 96671.49 139401.21 126924.075 156283.028 210102.611 257734.44 478394.67
32 63824.64 78820.67 84930.734 86176.463 147340.275 181210.11 405238.54
33 86039.81 127655.53 116630.504 143975.366 198948.002 245389.83 466771.53
34 86939.49 129522.86 117286.379 146392.920 200306.290 247843.71 468540.79
35 101156.73 143546.22 131516.533 160177.665 214478.776 261622.58 482622.93
36 98681.80 140361.43 129230.470 156587.699 211661.360 257973.36 479474.87
37 317519.90 283753.03 309052.616 265063.469 271549.340 225471.35 323032.16
38 80411.09 123151.54 110730.831 140177.682 193817.305 241615.52 462113.51
8 9 10 11 12 13 14
1 121698.80 392966.88 185024.224 66653.883 23872.064 144218.88 183522.394
2 91137.74 352732.78 141282.289 45711.516 27140.017 108792.53 140440.233
3 91211.24 362586.45 156869.694 36849.037 6929.229 113517.06 154739.625
4 89248.21 339838.70 125474.724 55160.227 47462.855 102279.96 125583.687
5 43401.60 280602.85 73389.039 60367.303 90385.867 43982.49 70590.975
6 94459.89 246820.71 30721.208 119877.954 142947.848 77118.69 36669.252
7 274484.52 63436.12 198111.918 324506.913 359117.351 247208.70 198719.634
8 0.00 276406.72 95311.206 55469.024 98140.247 27390.36 88675.754
9 276406.72 0.00 217426.190 330343.149 369215.836 250531.52 215268.414
10 95311.21 217426.19 0.000 133108.215 162657.304 71518.34 9449.082
11 55469.02 330343.15 133108.215 0.000 43681.681 79851.00 129260.567
12 98140.25 369215.84 162657.304 43681.681 0.000 120357.87 160738.923
13 27390.36 250531.52 71518.343 79851.000 120357.872 0.00 63893.951
14 88675.75 215268.41 9449.082 129260.567 160738.923 63893.95 0.000
15 282689.98 413440.91 236037.125 268676.730 252987.522 277896.42 244491.436
16 120755.80 350131.72 132706.726 92275.486 77305.792 128408.94 135417.138
17 111142.60 336113.99 118689.257 88537.163 80558.708 116773.10 121442.121
18 81367.29 332600.67 119058.344 50230.676 49354.071 94183.40 118804.404
19 123785.40 389824.31 178223.066 71054.292 28345.366 144012.78 177588.064
20 140026.08 406544.35 194450.738 86452.781 42870.964 160654.29 194008.677
21 86210.98 352665.90 143893.876 36876.539 19573.456 105942.68 142350.597
22 51340.67 266078.16 56670.448 76946.018 106583.528 42073.71 54159.467
23 40486.80 271117.60 66224.596 66886.032 99211.365 35838.32 62621.923
24 97516.53 333242.66 116441.505 72569.807 67179.224 105598.72 117975.767
25 143855.86 361142.22 144811.262 116650.246 98674.124 149493.88 148833.595
26 58327.70 333970.89 138076.068 5363.517 42758.137 83444.44 134088.070
27 30062.80 306316.00 120580.351 29402.875 73020.787 57134.21 115010.668
28 86215.26 353793.28 145674.803 35698.262 17300.765 106492.60 143987.739
29 10234.91 269682.87 85113.437 60816.435 102067.604 19212.17 78577.146
30 207978.85 479076.13 267880.054 152574.693 110511.694 230864.36 267376.149
31 215940.46 489510.37 280683.340 160535.864 120313.583 239923.31 279675.270
32 169912.69 424900.81 208414.139 120270.304 79012.953 186997.55 209743.006
33 206688.99 478952.99 268846.574 151221.766 109879.767 230057.48 268088.583
34 206636.51 479854.86 270805.018 151192.391 110639.297 230434.08 269821.243
35 220773.68 494083.50 284814.747 165345.568 124867.682 244643.16 283907.510
36 219073.27 491625.92 281532.670 163605.908 122501.808 242599.51 280797.672
37 313913.38 378266.54 243225.868 314746.413 309722.445 301687.16 252627.411
38 200080.91 473305.50 264430.078 144633.416 104091.844 223866.62 263394.726
15 16 17 18 19 20 21
1 255391.82 86335.38 92914.63 68260.103 17889.82 23542.19 41174.373
2 229894.33 52371.41 53918.56 23381.112 37223.69 53849.42 10860.184
3 254009.78 77201.38 79246.71 45865.692 34612.50 49615.16 15823.099
4 214292.09 37122.06 35186.72 8100.558 53708.18 69332.66 29366.842
5 239431.63 84504.93 72798.97 53353.274 109229.66 125941.88 72539.593
6 210149.25 103866.97 89905.94 96025.102 155105.25 170746.11 123527.610
7 366137.97 327307.41 313505.52 317145.125 376202.46 392516.98 340992.504
8 282689.98 120755.80 111142.60 81367.294 123785.40 140026.08 86210.984
9 413440.91 350131.72 336113.99 332600.668 389824.31 406544.35 352665.902
10 236037.12 132706.73 118689.26 119058.344 178223.07 194450.74 143893.876
11 268676.73 92275.49 88537.16 50230.676 71054.29 86452.78 36876.539
12 252987.52 77305.79 80558.71 49354.071 28345.37 42870.96 19573.456
13 277896.42 128408.94 116773.10 94183.401 144012.78 160654.29 105942.677
14 244491.44 135417.14 121442.12 118804.404 177588.06 194008.68 142350.597
15 0.00 177767.29 180145.91 218469.539 237522.44 240236.70 240735.449
16 177767.29 0.00 14017.80 42732.776 70365.30 81024.82 63136.364
17 180145.91 14017.80 0.00 38387.481 78299.10 90626.13 64030.533
18 218469.54 42732.78 38387.48 0.000 59296.76 75395.52 30096.265
19 237522.44 70365.30 78299.10 59296.763 0.00 16766.14 38070.473
20 240236.70 81024.82 90626.13 75395.517 16766.14 0.00 54734.186
21 240735.45 63136.36 64030.53 30096.265 38070.47 54734.19 0.000
22 235971.40 92039.55 79106.51 66572.566 124243.65 140844.55 88320.029
23 244273.22 93410.92 81310.07 63124.145 118715.55 135450.12 81735.550
24 196113.22 23255.92 15967.78 22461.797 69206.37 83290.14 49516.419
25 154587.60 24451.41 32894.38 67169.836 86819.72 94163.78 86279.412
26 272873.55 96021.62 92805.58 54423.705 70711.65 85621.73 38442.797
27 284665.43 112901.36 106253.17 70354.632 100434.15 115840.14 65125.645
28 243379.02 65836.58 66830.72 32743.464 37671.77 54191.98 2804.965
29 275843.62 117672.33 107233.89 80176.733 126575.37 143078.64 88590.017
30 279510.55 148530.94 160196.30 148823.782 89794.73 73429.32 126410.377
31 298805.66 165011.56 176152.02 161961.172 102678.42 87102.03 137571.593
32 210635.39 79118.73 92347.94 93988.001 50806.11 40622.69 84371.144
33 285697.49 151588.30 162909.76 149892.575 90627.96 74646.77 126450.865
34 291876.09 155443.79 166466.70 152068.699 92785.21 77231.36 127768.550
35 299289.38 168058.56 179398.25 165973.691 106677.22 90892.69 141939.194
36 293288.30 163463.79 174996.99 162555.337 103309.79 87255.62 139158.380
37 88339.93 232535.51 230011.00 266957.768 300301.55 306626.63 294028.862
38 288971.37 149923.34 160757.22 145773.871 86519.44 71141.44 121284.532
22 23 24 25 26 27 28
1 129464.68 122565.678 82049.05 104088.40 64988.146 95626.11 39591.613
2 87021.00 81712.760 40072.54 75420.39 47967.100 72616.89 13487.380
3 100586.16 92929.846 65119.55 99442.47 36139.919 66225.85 13123.962
4 73993.14 70973.312 20165.81 61493.97 58919.989 77106.29 32163.645
5 16737.75 9771.136 61903.07 105563.59 65531.242 54914.79 73954.779
6 45133.06 56706.980 89662.72 114562.88 125163.840 114013.37 125654.244
7 252676.37 260037.916 313570.79 334454.66 328822.348 304338.34 342561.064
8 51340.67 40486.797 97516.53 143855.86 58327.703 30062.80 86215.265
9 266078.16 271117.602 333242.66 361142.22 333970.893 306316.00 353793.279
10 56670.45 66224.596 116441.50 144811.26 138076.068 120580.35 145674.803
11 76946.02 66886.032 72569.81 116650.25 5363.517 29402.88 35698.262
12 106583.53 99211.365 67179.22 98674.12 42758.137 73020.79 17300.765
13 42073.71 35838.321 105598.72 149493.88 83444.437 57134.21 106492.598
14 54159.47 62621.923 117975.77 148833.60 134088.070 115010.67 143987.739
15 235971.40 244273.216 196113.22 154587.60 272873.555 284665.43 243379.015
16 92039.55 93410.924 23255.92 24451.41 96021.624 112901.36 65836.576
17 79106.51 81310.075 15967.78 32894.38 92805.584 106253.17 66830.720
18 66572.57 63124.145 22461.80 67169.84 54423.705 70354.63 32743.464
19 124243.65 118715.554 69206.37 86819.72 70711.650 100434.15 37671.774
20 140844.55 135450.119 83290.14 94163.78 85621.731 115840.14 54191.981
21 88320.03 81735.550 49516.42 86279.41 38442.797 65125.64 2804.965
22 0.00 11611.032 70885.35 110875.71 82055.886 68880.46 89892.320
23 11611.03 0.000 71096.42 113868.59 71856.469 57329.68 83041.881
24 70885.35 71096.416 0.00 46758.06 76855.169 90804.46 52316.819
25 110875.71 113868.592 46758.06 0.00 120308.849 137216.25 88883.167
26 82055.89 71856.469 76855.17 120308.85 0.000 30659.78 36920.389
27 68880.46 57329.679 90804.46 137216.25 30659.781 0.00 64347.915
28 89892.32 83041.881 52316.82 88883.17 36920.389 64347.91 0.000
29 42286.25 32055.094 94449.62 140114.71 64293.125 38283.67 88911.708
30 213978.10 208063.728 155260.27 154798.13 150244.874 180748.55 125314.097
31 225822.45 219208.917 170165.58 172569.77 157671.200 187673.90 136172.099
32 159928.70 157110.649 91975.29 81211.21 120576.556 149275.67 84951.025
33 214441.10 208186.415 157322.07 158827.59 148666.215 179008.03 125207.274
34 215992.16 209437.101 160340.56 163452.38 148427.977 178562.63 126395.373
35 230124.23 223628.572 173741.23 175017.32 162531.897 192593.14 140587.434
36 227158.08 220893.575 169716.86 169914.22 160957.837 191204.04 137903.073
37 262942.79 273435.341 245060.69 213484.96 319654.654 323823.90 296825.544
38 209534.44 202931.510 154358.16 158511.92 141882.734 172040.33 119892.039
29 30 31 32 33 34 35
1 125867.53 86645.637 96671.486 63824.64 86039.811 86939.486 101156.735
2 92398.89 126995.384 139401.206 78820.67 127655.535 129522.857 143546.224
3 95177.16 117348.309 126924.075 84930.73 116630.504 117286.379 131516.533
4 88225.50 142642.536 156283.028 86176.46 143975.366 146392.920 160177.665
5 36581.88 198717.500 210102.611 147340.27 198948.002 200306.290 214478.776
6 84565.84 243877.695 257734.442 181210.11 245389.834 247843.706 261622.581
7 266155.68 465939.355 478394.672 405238.54 466771.532 468540.794 482622.925
8 10234.91 207978.852 215940.461 169912.69 206688.987 206636.509 220773.682
9 269682.87 479076.128 489510.368 424900.81 478952.989 479854.855 494083.498
10 85113.44 267880.054 280683.340 208414.14 268846.574 270805.018 284814.747
11 60816.43 152574.693 160535.864 120270.30 151221.766 151192.391 165345.568
12 102067.60 110511.694 120313.583 79012.95 109879.767 110639.297 124867.682
13 19212.17 230864.358 239923.310 186997.55 230057.485 230434.084 244643.164
14 78577.15 267376.149 279675.270 209743.01 268088.583 269821.243 283907.510
15 275843.62 279510.548 298805.662 210635.39 285697.489 291876.094 299289.377
16 117672.33 148530.940 165011.556 79118.73 151588.302 155443.794 168058.559
17 107233.89 160196.301 176152.017 92347.94 162909.760 166466.697 179398.249
18 80176.73 148823.782 161961.172 93988.00 149892.575 152068.699 165973.691
19 126575.37 89794.731 102678.424 50806.11 90627.965 92785.214 106677.219
20 143078.64 73429.320 87102.028 40622.69 74646.767 77231.363 90892.694
21 88590.02 126410.377 137571.593 84371.14 126450.865 127768.550 141939.194
22 42286.25 213978.095 225822.449 159928.70 214441.101 215992.161 230124.233
23 32055.09 208063.728 219208.917 157110.65 208186.415 209437.101 223628.572
24 94449.62 155260.269 170165.581 91975.29 157322.068 160340.563 173741.228
25 140114.71 154798.131 172569.775 81211.21 158827.593 163452.377 175017.325
26 64293.13 150244.874 157671.200 120576.56 148666.215 148427.977 162531.897
27 38283.67 180748.548 187673.895 149275.67 179008.034 178562.634 192593.144
28 88911.71 125314.097 136172.099 84951.02 125207.274 126395.373 140587.434
29 0.00 212461.972 221155.480 171131.85 211484.709 211720.371 225912.264
30 212461.97 0.000 19298.264 74421.67 7272.559 13962.683 20482.003
31 221155.48 19298.264 0.000 92958.96 13796.939 9893.231 5163.246
32 171131.85 74421.666 92958.956 0.00 79175.804 84484.963 94872.455
33 211484.71 7272.559 13796.939 79175.80 0.000 6722.869 16488.556
34 211720.37 13962.683 9893.231 84484.96 6722.869 0.000 14230.155
35 225912.26 20482.003 5163.246 94872.46 16488.556 14230.155 0.000
36 223979.16 15116.505 8205.354 89474.72 12717.153 13073.760 6081.460
37 305213.86 356145.884 375310.926 283503.61 361740.319 367489.455 376457.420
38 205153.83 15450.834 16288.487 80393.61 9075.087 6567.491 20789.819
36 37 38
1 98681.804 317519.90 80411.091
2 140361.429 283753.03 123151.540
3 129230.470 309052.62 110730.831
4 156587.699 265063.47 140177.682
5 211661.360 271549.34 193817.305
6 257973.362 225471.35 241615.519
7 479474.872 323032.16 462113.510
8 219073.272 313913.38 200080.907
9 491625.918 378266.54 473305.499
10 281532.670 243225.87 264430.078
11 163605.908 314746.41 144633.416
12 122501.808 309722.44 104091.844
13 242599.512 301687.16 223866.622
14 280797.672 252627.41 263394.726
15 293288.304 88339.93 288971.367
16 163463.792 232535.51 149923.336
17 174996.988 230011.00 160757.216
18 162555.337 266957.77 145773.871
19 103309.791 300301.55 86519.441
20 87255.622 306626.63 71141.445
21 139158.380 294028.86 121284.532
22 227158.075 262942.79 209534.444
23 220893.575 273435.34 202931.510
24 169716.862 245060.69 154358.162
25 169914.225 213484.96 158511.919
26 160957.837 319654.65 141882.734
27 191204.039 323823.90 172040.333
28 137903.073 296825.54 119892.039
29 223979.160 305213.86 205153.829
30 15116.505 356145.88 15450.834
31 8205.354 375310.93 16288.487
32 89474.716 283503.61 80393.611
33 12717.153 361740.32 9075.087
34 13073.760 367489.46 6567.491
35 6081.460 376457.42 20789.819
36 0.000 370632.76 19323.133
37 370632.764 0.00 363778.673
38 19323.133 363778.67 0.000Model MDS 3 Dimensi
Perhitungan Disparatis
> disparaties3d = as.matrix(dist(fit3))
> disparaties3d
1 2 3 4 5 6 7
1 0.00 44896.54 30740.63 66284.10 113870.46 165523.45 382779.00
2 44896.54 0.00 25336.16 26668.24 72789.43 121566.82 339901.68
3 30740.63 25336.16 0.00 48391.15 84859.68 139988.31 353722.16
4 66284.10 26668.24 48391.15 0.00 61672.43 101676.56 323631.81
5 113870.46 72789.43 84859.68 61672.43 0.00 61929.04 269065.74
6 165523.45 121566.82 139988.31 101676.56 61929.04 0.00 224032.98
7 382779.00 339901.68 353722.16 323631.81 269065.74 224032.98 0.00
8 124388.85 94437.22 94384.77 98620.82 55394.92 106279.06 278620.58
9 394611.88 354465.91 364227.31 343828.45 284138.88 253768.34 86018.07
10 185119.41 141369.02 156933.53 127418.04 74832.85 42188.88 200085.88
11 72558.22 53441.75 45806.40 71126.03 70994.39 130531.25 328454.50
12 41101.06 42321.38 32739.50 68716.07 99731.19 153685.70 363389.59
13 149117.39 114887.18 119224.50 115725.07 64078.11 98257.09 254387.50
14 183843.23 140786.78 155024.66 128472.19 73248.04 49895.20 201434.00
15 255467.59 229953.98 254054.40 215465.34 239895.73 212168.41 367231.75
16 86930.03 53542.05 78069.55 37617.08 84517.49 104656.30 327525.48
17 93840.61 55740.49 80582.26 35321.50 72935.28 90441.69 313633.25
18 68672.69 24878.52 46735.82 11899.51 53366.25 97262.22 317480.28
19 18470.94 37398.55 34754.34 57605.96 110035.18 157537.63 377148.56
20 23887.69 53936.50 49682.62 72238.08 126584.75 172872.05 393387.00
21 41244.69 10953.02 15851.44 34783.30 73384.04 126109.42 341872.09
22 131350.70 89564.83 102697.85 83369.40 35117.47 63845.93 256526.82
23 122789.82 81965.47 93120.51 74809.64 18840.86 64339.59 261707.73
24 83550.37 42712.44 66672.83 37824.63 66560.67 97676.88 315849.08
25 105345.32 76944.80 100532.60 69534.27 108464.63 121085.32 336643.34
26 74180.74 59251.29 49830.83 78585.21 79190.35 138265.17 333875.51
27 102531.72 81054.02 75155.73 93692.45 71433.64 128824.16 310022.16
28 56279.97 41280.34 40712.61 64780.94 88545.27 140553.76 348144.31
29 138792.30 108830.33 110953.67 115614.63 76494.07 117422.93 278088.31
30 88243.85 127966.37 118336.18 146399.12 200335.73 247087.63 467553.64
31 97626.90 139973.12 127505.71 159109.63 211284.64 260320.85 479726.76
32 67541.07 81598.88 87401.70 94315.76 150522.77 186732.15 407641.47
33 87454.53 128497.11 117492.59 147466.95 200433.82 248414.43 468296.95
34 88701.07 130582.98 118390.33 150249.39 202023.30 251142.21 470218.89
35 102337.37 144278.28 132263.84 163290.77 215838.97 264437.29 484085.42
36 100130.32 141268.79 130157.90 160069.22 213211.48 261048.37 481064.10
37 324680.90 291516.80 316095.63 278069.47 282121.38 243065.73 335312.52
38 81742.10 123911.96 111518.52 143548.19 195222.88 244534.58 463575.79
8 9 10 11 12 13 14
1 124388.85 394611.88 185119.41 72558.217 41101.06 149117.39 183843.23
2 94437.22 354465.91 141369.02 53441.754 42321.38 114887.18 140786.78
3 94384.77 364227.31 156933.53 45806.397 32739.50 119224.50 155024.66
4 98620.82 343828.45 127418.04 71126.027 68716.07 115725.07 128472.19
5 55394.92 284138.88 74832.85 70994.390 99731.19 64078.11 73248.04
6 106279.06 253768.34 42188.88 130531.254 153685.70 98257.09 49895.20
7 278620.58 86018.07 200085.88 328454.499 363389.59 254387.50 201434.00
8 0.00 276597.26 97344.79 55546.916 98444.09 29975.37 89914.33
9 276597.26 0.00 219494.07 330424.333 369224.55 250538.82 216731.13
10 97344.79 219494.07 0.00 135035.683 164969.28 78339.10 10653.61
11 55546.92 330424.33 135035.68 0.000 43943.31 80383.47 130482.21
12 98444.09 369224.55 164969.28 43943.307 0.00 120440.07 162320.12
13 29975.37 250538.82 78339.10 80383.466 120440.07 0.00 69384.06
14 89914.33 216731.13 10653.61 130482.212 162320.12 69384.06 0.00
15 283362.26 414511.49 236037.30 269612.874 254449.39 279696.90 244535.36
16 125973.46 353159.36 133678.12 100108.834 88757.35 137107.05 137036.83
17 117746.72 339687.77 120214.04 97917.056 93069.98 127447.12 123792.23
18 87897.12 335434.58 119815.89 61907.675 64145.99 104564.64 120216.68
19 125576.29 391086.66 178228.10 75021.491 40452.69 147814.85 177698.35
20 141694.64 407797.55 194459.90 89890.550 51988.94 164183.44 194128.10
21 89309.78 354261.62 143937.13 45272.395 36704.82 111732.02 142601.12
22 51463.28 266436.57 58952.36 77219.308 107178.65 44917.25 55330.32
23 44435.98 272619.63 66241.14 70181.684 102572.29 47053.91 62716.37
24 98024.00 333855.91 116855.86 73707.813 69469.34 107894.50 118077.95
25 144169.49 361682.91 145176.33 117312.228 100167.66 151058.02 148930.38
26 59185.24 333970.97 141261.98 8896.466 42820.48 83471.85 136382.47
27 32103.30 306317.62 124515.51 30557.934 73106.26 57141.53 117942.85
28 87388.26 353815.95 149604.40 37452.947 18496.15 106513.16 146907.36
29 34319.03 270619.22 100029.41 67732.373 105091.54 28153.82 91885.72
30 208173.95 479463.74 268096.99 153042.044 111772.24 231834.60 267440.40
31 216279.44 490021.20 280788.64 161239.307 121937.30 241148.92 279688.97
32 169951.54 425128.05 209039.70 120449.850 79825.73 187664.79 210043.91
33 206933.78 479384.15 269022.63 151779.779 111310.75 231129.96 268131.73
34 206796.74 480207.65 271055.68 151597.829 111771.38 231327.98 269905.25
35 221010.52 494508.34 284975.29 165869.217 126152.35 245667.11 283945.48
36 219248.31 491993.85 281748.83 164023.705 123606.38 243501.26 280864.22
37 316721.94 379602.59 250973.73 317171.271 311622.17 303166.00 258968.78
38 200385.15 473784.66 264574.99 145307.361 105770.04 225067.16 263422.64
15 16 17 18 19 20 21
1 255467.6 86930.03 93840.61 68672.69 18470.94 23887.69 41244.69
2 229954.0 53542.05 55740.49 24878.52 37398.55 53936.50 10953.02
3 254054.4 78069.55 80582.26 46735.82 34754.34 49682.62 15851.44
4 215465.3 37617.08 35321.50 11899.51 57605.96 72238.08 34783.30
5 239895.7 84517.49 72935.28 53366.25 110035.18 126584.75 73384.04
6 212168.4 104656.30 90441.69 97262.22 157537.63 172872.05 126109.42
7 367231.7 327525.48 313633.25 317480.28 377148.56 393387.00 341872.09
8 283362.3 125973.46 117746.72 87897.12 125576.29 141694.64 89309.78
9 414511.5 353159.36 339687.77 335434.58 391086.66 407797.55 354261.62
10 236037.3 133678.12 120214.04 119815.89 178228.10 194459.90 143937.13
11 269612.9 100108.83 97917.06 61907.68 75021.49 89890.55 45272.40
12 254449.4 88757.35 93069.98 64145.99 40452.69 51988.94 36704.82
13 279696.9 137107.05 127447.12 104564.64 147814.85 164183.44 111732.02
14 244535.4 137036.83 123792.23 120216.68 177698.35 194128.10 142601.12
15 0.0 178519.63 181184.50 218901.06 237528.00 240246.54 240765.66
16 178519.6 0.00 14335.19 42813.88 71894.06 82259.48 64373.15
17 181184.5 14335.19 0.00 38798.71 80285.16 92243.59 65893.50
18 218901.1 42813.88 38798.71 0.00 60521.35 76277.27 31690.18
19 237528.0 71894.06 80285.16 60521.35 0.00 16775.11 38133.37
20 240246.5 82259.48 92243.59 76277.27 16775.11 0.00 54758.77
21 240765.7 64373.15 65893.50 31690.18 38133.37 54758.77 0.00
22 236510.3 97552.38 86637.13 72895.24 125481.54 142006.74 90506.01
23 244276.1 95048.30 83870.72 64866.26 118749.02 135491.98 81888.86
24 196345.4 34822.24 33033.61 32352.43 70102.15 84110.62 51287.14
25 154910.9 35965.60 44101.41 71242.04 87594.95 94947.82 87378.80
26 274468.5 106436.03 104908.74 69537.39 77277.19 91308.33 50899.44
27 286323.6 122348.38 117490.34 83251.22 105529.47 120433.53 73738.98
28 245711.8 82761.42 85388.66 57705.05 51696.25 65032.75 37696.34
29 280751.3 136227.05 128960.99 103849.36 137569.73 153085.06 104847.75
30 279707.6 150941.67 162957.07 150784.13 90609.24 74514.48 127217.90
31 298897.4 166715.56 178175.31 163335.15 103074.56 87626.92 138028.16
32 211232.7 85437.58 98845.40 98542.44 53735.18 44451.25 86637.82
33 285853.6 153771.08 165438.85 151674.79 91301.55 75545.57 127144.13
34 292097.4 157899.67 169281.20 154127.28 93690.55 78409.60 128667.44
35 299433.2 170004.80 181671.62 167562.01 107232.98 91611.30 142541.76
36 293485.2 165698.33 177570.23 164389.25 104048.13 88207.27 139918.28
37 107692.2 245257.63 243844.96 277382.76 306883.55 313186.92 301215.97
38 289095.5 151967.46 163150.32 147455.73 87106.31 71933.15 121904.99
22 23 24 25 26 27 28
1 131350.70 122789.82 83550.37 105345.32 74180.740 102531.72 56279.97
2 89564.83 81965.47 42712.44 76944.80 59251.287 81054.02 41280.34
3 102697.85 93120.51 66672.83 100532.60 49830.830 75155.73 40712.61
4 83369.40 74809.64 37824.63 69534.27 78585.205 93692.45 64780.94
5 35117.47 18840.86 66560.67 108464.63 79190.345 71433.64 88545.27
6 63845.93 64339.59 97676.88 121085.32 138265.166 128824.16 140553.76
7 256526.82 261707.73 315849.08 336643.34 333875.515 310022.16 348144.31
8 51463.28 44435.98 98024.00 144169.49 59185.236 32103.30 87388.26
9 266436.57 272619.63 333855.91 361682.91 333970.970 306317.62 353815.95
10 58952.36 66241.14 116855.86 145176.33 141261.978 124515.51 149604.40
11 77219.31 70181.68 73707.81 117312.23 8896.466 30557.93 37452.95
12 107178.65 102572.29 69469.34 100167.66 42820.483 73106.26 18496.15
13 44917.25 47053.91 107894.50 151058.02 83471.847 57141.53 106513.16
14 55330.32 62716.37 118077.95 148930.38 136382.466 117942.85 146907.36
15 236510.32 244276.13 196345.41 154910.90 274468.470 286323.61 245711.76
16 97552.38 95048.30 34822.24 35965.60 106436.028 122348.38 82761.42
17 86637.13 83870.72 33033.61 44101.41 104908.742 117490.34 85388.66
18 72895.24 64866.26 32352.43 71242.04 69537.391 83251.22 57705.05
19 125481.54 118749.02 70102.15 87594.95 77277.188 105529.47 51696.25
20 142006.74 135491.98 84110.62 94947.82 91308.332 120433.53 65032.75
21 90506.01 81888.86 51287.14 87378.80 50899.436 73738.98 37696.34
22 0.00 18781.94 71174.69 111035.47 83173.454 70455.27 91641.67
23 18781.94 0.00 71585.28 114208.81 77247.486 64509.18 89205.55
24 71174.69 71585.28 0.00 46760.29 79414.839 93251.91 57656.05
25 111035.47 114208.81 46760.29 0.00 121885.784 138778.88 92007.86
26 83173.45 77247.49 79414.84 121885.78 0.000 30684.21 37162.10
27 70455.27 64509.18 93251.91 138778.88 30684.215 0.00 64418.15
28 91641.67 89205.55 57656.05 92007.86 37162.100 64418.15 0.00
29 55734.81 60297.04 103661.13 146349.53 68189.084 43905.07 90813.37
30 214047.75 208271.59 155263.18 154798.92 151447.642 181881.95 127458.28
31 225984.40 219296.83 170179.07 172589.36 159218.441 189123.01 138702.75
32 159928.72 157794.96 92192.71 81423.13 121349.216 150017.09 86817.16
33 214539.96 208349.85 157322.10 158828.57 150018.964 180273.79 127549.73
34 216040.90 209684.07 160350.92 163458.08 149536.929 179613.62 128366.54
35 230221.13 223774.65 173741.43 175018.82 163790.692 193788.59 142706.11
36 227217.79 221100.10 169721.12 169915.86 162051.762 192249.47 139812.73
37 266873.61 280026.57 250526.68 219629.99 321257.062 325287.49 298125.97
38 209668.19 203061.88 154361.92 158519.34 143439.646 173479.69 122534.10
29 30 31 32 33 34 35
1 138792.30 88243.853 97626.899 67541.07 87454.534 88701.068 102337.372
2 108830.33 127966.370 139973.125 81598.88 128497.106 130582.975 144278.285
3 110953.67 118336.182 127505.705 87401.70 117492.585 118390.335 132263.845
4 115614.63 146399.122 159109.633 94315.76 147466.951 150249.391 163290.770
5 76494.07 200335.730 211284.645 150522.77 200433.817 202023.299 215838.971
6 117422.93 247087.632 260320.851 186732.15 248414.434 251142.213 264437.294
7 278088.31 467553.640 479726.756 407641.47 468296.945 470218.893 484085.420
8 34319.03 208173.949 216279.443 169951.54 206933.780 206796.745 221010.525
9 270619.22 479463.738 490021.202 425128.05 479384.148 480207.653 494508.343
10 100029.41 268096.987 280788.639 209039.70 269022.627 271055.676 284975.294
11 67732.37 153042.044 161239.307 120449.85 151779.779 151597.829 165869.217
12 105091.54 111772.243 121937.297 79825.73 111310.753 111771.384 126152.351
13 28153.82 231834.605 241148.919 187664.79 231129.960 231327.981 245667.111
14 91885.72 267440.404 279688.971 210043.91 268131.735 269905.248 283945.484
15 280751.33 279707.583 298897.357 211232.69 285853.571 292097.401 299433.166
16 136227.05 150941.673 166715.564 85437.58 153771.075 157899.667 170004.802
17 128960.99 162957.073 178175.311 98845.40 165438.852 169281.201 181671.624
18 103849.36 150784.129 163335.154 98542.44 151674.793 154127.277 167562.007
19 137569.73 90609.236 103074.561 53735.18 91301.552 93690.553 107232.984
20 153085.06 74514.476 87626.921 44451.25 75545.571 78409.600 91611.303
21 104847.75 127217.896 138028.161 86637.82 127144.134 128667.444 142541.759
22 55734.81 214047.751 225984.403 159928.72 214539.958 216040.903 230221.130
23 60297.04 208271.590 219296.831 157794.96 208349.850 209684.073 223774.648
24 103661.13 155263.182 170179.072 92192.71 157322.100 160350.918 173741.434
25 146349.53 154798.919 172589.358 81423.13 158828.573 163458.078 175018.825
26 68189.08 151447.642 159218.441 121349.22 150018.964 149536.929 163790.692
27 43905.07 181881.954 189123.009 150017.09 180273.790 179613.617 193788.590
28 90813.37 127458.276 138702.746 86817.16 127549.726 128366.538 142706.115
29 0.00 216528.623 225659.731 174958.31 215776.066 215634.046 229965.603
30 216528.62 0.000 19544.679 74615.65 7348.232 13989.845 20518.216
31 225659.73 19544.679 0.000 93344.10 13947.222 10658.245 5493.252
32 174958.31 74615.655 93344.098 0.00 79436.373 84605.021 95101.433
33 215776.07 7348.232 13947.222 79436.37 0.000 6992.541 16489.398
34 215634.05 13989.845 10658.245 84605.02 6992.541 0.000 14382.792
35 229965.60 20518.216 5493.252 95101.43 16489.398 14382.792 0.000
36 227794.37 15118.597 8861.076 89621.40 12783.766 13088.446 6256.597
37 305356.37 359792.556 379202.867 287166.37 365479.751 370905.659 380074.975
38 209776.38 15583.297 16323.348 80733.88 9127.385 7178.813 20805.555
36 37 38
1 100130.324 324680.9 81742.099
2 141268.794 291516.8 123911.961
3 130157.900 316095.6 111518.517
4 160069.217 278069.5 143548.188
5 213211.482 282121.4 195222.878
6 261048.375 243065.7 244534.575
7 481064.096 335312.5 463575.794
8 219248.306 316721.9 200385.150
9 491993.853 379602.6 473784.665
10 281748.829 250973.7 264574.985
11 164023.705 317171.3 145307.361
12 123606.378 311622.2 105770.038
13 243501.256 303166.0 225067.159
14 280864.217 258968.8 263422.638
15 293485.192 107692.2 289095.454
16 165698.333 245257.6 151967.465
17 177570.226 243845.0 163150.317
18 164389.252 277382.8 147455.734
19 104048.129 306883.5 87106.312
20 88207.266 313186.9 71933.153
21 139918.282 301216.0 121904.986
22 227217.787 266873.6 209668.191
23 221100.100 280026.6 203061.878
24 169721.122 250526.7 154361.916
25 169915.860 219630.0 158519.338
26 162051.762 321257.1 143439.646
27 192249.469 325287.5 173479.694
28 139812.733 298126.0 122534.099
29 227794.368 305356.4 209776.383
30 15118.597 359792.6 15583.297
31 8861.076 379202.9 16323.348
32 89621.399 287166.4 80733.877
33 12783.766 365479.8 9127.385
34 13088.446 370905.7 7178.813
35 6256.597 380075.0 20805.555
36 0.000 374104.0 19457.065
37 374103.998 0.0 367637.080
38 19457.065 367637.1 0.000HASIL DAN PEMBAHASAN
Statistika Deskriptif
> summary(ak1)
Kabupaten/Kota Universitas Diploma SMK
Length:38 Min. : 5582 Min. : 679 Min. : 4550
Class :character 1st Qu.: 11856 1st Qu.: 1704 1st Qu.: 14646
Mode :character Median : 16494 Median : 2718 Median : 33453
Mean : 24337 Mean : 4295 Mean : 44085
3rd Qu.: 24458 3rd Qu.: 4107 3rd Qu.: 59399
Max. :159148 Max. :21254 Max. :192825
SMA SMP SD
Min. : 6939 Min. : 5050 Min. : 4819
1st Qu.: 28853 1st Qu.: 38526 1st Qu.: 77245
Median : 44603 Median : 57286 Median :119922
Mean : 54198 Mean : 63936 Mean :132242
3rd Qu.: 69203 3rd Qu.: 89327 3rd Qu.:186706
Max. :202106 Max. :199533 Max. :429917 Berdasarkan hasil dari statistika deskriptif tersebut dapat diketahui bahwa:
Pendidikan dasar (SD dan SMP) memiliki jumlah entitas yang jauh lebih tinggi dibandingkan tingkat pendidikan lainnya, dengan jumlah maksimum yang signifikan (SD mencapai 429917). Hal ini mencerminkan bahwa pendidikan dasar menjadi prioritas utama dalam sistem pendidikan nasional, sesuai dengan kebijakan wajib belajar di Indonesia. Tingginya partisipasi di tingkat SD dan SMP menunjukkan bahwa aksesibilitas pada jenjang ini relatif merata.
Penyempitan di Pendidikan Menengah Pada tingkat SMA dan SMK, terdapat penurunan jumlah entitas dibandingkan SD dan SMP. SMA cenderung lebih banyak dibandingkan SMK, yang menunjukkan bahwa sebagian besar masyarakat lebih memilih jalur pendidikan akademik (SMA) dibandingkan pendidikan kejuruan (SMK). Namun, penyebaran di tingkat ini mulai menunjukkan ketimpangan, di mana beberapa wilayah memiliki jumlah entitas yang sangat tinggi sementara yang lain relatif rendah.
Kesempatan Terbatas di Pendidikan Tinggi Pendidikan tinggi, baik Diploma maupun Universitas, menunjukkan distribusi jumlah entitas yang lebih rendah dibandingkan tingkat menengah atau dasar. Jumlah entitas di pendidikan tinggi sangat bervariasi antarwilayah, dengan rata-rata yang jauh di bawah nilai maksimum. Hal ini mencerminkan bahwa aksesibilitas pendidikan tinggi masih menjadi tantangan di beberapa wilayah, baik karena ketersediaan institusi maupun kemampuan masyarakat untuk melanjutkan ke jenjang ini.
Secara umum, terdapat ketimpangan dalam distribusi jumlah entitas di berbagai jenjang pendidikan, yang terlihat dari perbedaan besar antara nilai minimum, median, dan maksimum. Ketimpangan ini mungkin disebabkan oleh faktor-faktor seperti perbedaan populasi antarwilayah, tingkat ekonomi, ketersediaan infrastruktur pendidikan, atau kebijakan pendidikan lokal.
Matriks Jarak (D)
> D
1 2 3 4 5 6 7
1 0.00 47431.37 30982.60 67323.65 114063.39 165918.71 383040.39
2 47431.37 0.00 30846.13 27433.64 73761.24 123317.24 340179.11
3 30982.60 30846.13 0.00 50666.77 85118.26 140234.16 354160.38
4 67323.65 27433.64 50666.77 0.00 62726.52 103717.81 323724.87
5 114063.39 73761.24 85118.26 62726.52 0.00 62625.15 269575.01
6 165918.71 123317.24 140234.16 103717.81 62625.15 0.00 225414.64
7 383040.39 340179.11 354160.38 323724.87 269575.01 225414.64 0.00
8 124573.29 94930.15 94752.60 99019.82 55493.35 106926.83 279009.61
9 395107.67 355795.21 364575.54 345141.74 284775.24 254007.69 92156.72
10 185923.47 141593.64 157978.61 128113.85 75731.73 45779.52 201177.74
11 72646.04 56496.24 45841.73 72751.60 71433.98 130856.87 328920.29
12 43377.75 45359.40 34885.24 71118.41 100052.07 153880.02 364196.54
13 149906.79 117189.63 119843.06 118126.35 65257.70 98338.95 255980.09
14 185886.53 144359.36 156949.03 132945.46 76906.11 52477.14 205366.41
15 256984.98 232178.10 255248.11 218188.95 241042.45 212864.13 369366.99
16 88629.94 56670.20 79625.59 43210.90 85354.49 105107.58 328706.99
17 95275.74 57039.53 82226.09 38846.93 73672.18 91508.01 314512.72
18 69406.33 30903.15 47281.89 21791.92 53804.57 97305.07 318299.50
19 23137.81 41627.62 36641.84 60913.95 110392.23 157645.35 378002.98
20 27015.25 58328.04 50521.09 75497.39 127033.68 172882.29 394253.36
21 42383.57 25373.91 17027.17 40625.48 74226.20 126242.08 342695.44
22 132492.37 90256.41 104159.98 84861.06 36817.34 65703.16 257571.18
23 122951.21 84056.53 93217.83 76656.26 20376.97 64649.09 262493.10
24 95824.23 53214.67 82912.72 52259.72 79376.25 110156.75 318376.57
25 113265.75 81918.52 109097.28 77587.71 114205.43 127783.65 339102.70
26 75577.53 59862.71 52002.43 79587.67 79621.20 139038.39 334455.20
27 102663.47 81866.04 75411.84 94236.48 71458.76 129247.36 310381.38
28 59141.50 42720.87 44640.58 66734.23 89341.02 141527.21 348929.48
29 140555.81 109459.09 113253.05 116974.40 78177.55 119347.74 279223.68
30 88362.08 128460.89 118517.36 146663.71 200373.38 247390.34 467730.93
31 97910.31 141146.58 127573.20 160016.90 211376.74 260359.75 480176.10
32 67743.73 83485.63 87716.39 95176.51 150917.57 187392.72 407818.60
33 87849.26 129334.17 117683.95 148204.03 200461.94 248492.19 468716.08
34 89213.80 131593.93 118612.49 151152.13 202086.65 251194.69 470702.64
35 102621.55 145259.76 132357.23 164088.59 215896.71 264478.43 484516.68
36 100360.78 142365.31 130211.91 160906.82 213289.89 261092.67 481489.75
37 324961.53 292652.41 316469.54 278785.70 282837.57 244121.31 335743.31
38 82261.31 124732.31 111790.39 144312.10 195256.83 244625.62 464015.57
8 9 10 11 12 13 14
1 124573.29 395107.67 185923.47 72646.04 43377.75 149906.79 185886.53
2 94930.15 355795.21 141593.64 56496.24 45359.40 117189.63 144359.36
3 94752.60 364575.54 157978.61 45841.73 34885.24 119843.06 156949.03
4 99019.82 345141.74 128113.85 72751.60 71118.41 118126.35 132945.46
5 55493.35 284775.24 75731.73 71433.98 100052.07 65257.70 76906.11
6 106926.83 254007.69 45779.52 130856.87 153880.02 98338.95 52477.14
7 279009.61 92156.72 201177.74 328920.29 364196.54 255980.09 205366.41
8 0.00 277467.87 97910.85 56284.98 98978.02 33474.25 93488.35
9 277467.87 0.00 221247.42 330842.89 369585.78 250723.92 217333.05
10 97910.85 221247.42 0.00 136391.40 165381.44 80611.59 27615.83
11 56284.98 330842.89 136391.40 0.00 45974.47 81455.84 132946.79
12 98978.02 369585.78 165381.44 45974.47 0.00 120697.15 163132.09
13 33474.25 250723.92 80611.59 81455.84 120697.15 0.00 70480.81
14 93488.35 217333.05 27615.83 132946.79 163132.09 70480.81 0.00
15 284568.73 414782.50 237476.17 270859.29 254961.68 280013.78 244637.74
16 126665.94 353630.30 134243.04 101503.45 88925.37 137386.37 137705.98
17 118197.28 340517.12 120321.36 99465.19 93386.28 128275.90 125475.24
18 88425.63 335671.72 120845.22 62490.05 64420.80 104720.67 121509.24
19 126084.82 391346.78 178759.27 76137.05 40522.39 147917.35 178304.18
20 142319.72 407900.86 195407.51 90459.16 52688.29 164216.90 194754.42
21 90296.94 354423.26 145571.94 45715.68 38886.54 112086.22 144112.44
22 52620.63 267605.70 59076.36 79432.40 107527.66 47719.54 59496.42
23 45336.01 273051.63 68624.34 70300.95 103206.70 48164.38 66531.28
24 106292.51 339353.46 121499.95 89061.52 82599.91 119878.29 130948.29
25 148349.82 364975.82 147264.58 125156.32 105569.00 156409.49 154522.11
26 59729.11 334854.49 141320.05 18409.36 43648.63 84994.43 138418.79
27 32197.32 306975.93 125124.52 31395.91 73768.95 58780.90 120582.91
28 88169.08 354766.76 149645.07 42245.44 20848.83 107882.09 148636.47
29 37671.35 272333.90 100169.93 71829.74 106051.27 35590.94 95515.60
30 208205.74 479937.07 268434.83 153218.48 112399.59 232363.97 268817.57
31 216462.69 490199.05 281297.56 161334.17 122239.35 241286.84 280435.97
32 170308.52 425705.18 210111.43 120647.41 81888.51 188679.57 212448.84
33 207026.36 479656.36 269323.45 151998.44 111449.70 231305.39 268892.50
34 206953.75 480426.74 271410.19 151853.02 111877.38 231450.45 270562.91
35 221147.24 494711.84 285385.93 165993.51 126358.05 245800.64 284657.20
36 219402.97 492191.95 282232.64 164101.01 123915.07 243653.65 281637.85
37 317323.80 380614.43 252730.13 317473.50 312799.88 304327.17 261831.52
38 200484.30 474075.87 264840.32 145599.96 105872.49 225249.62 264166.65
15 16 17 18 19 20 21
1 256985.0 88629.94 95275.74 69406.33 23137.81 27015.25 42383.57
2 232178.1 56670.20 57039.53 30903.15 41627.62 58328.04 25373.91
3 255248.1 79625.59 82226.09 47281.89 36641.84 50521.09 17027.17
4 218188.9 43210.90 38846.93 21791.92 60913.95 75497.39 40625.48
5 241042.5 85354.49 73672.18 53804.57 110392.23 127033.68 74226.20
6 212864.1 105107.58 91508.01 97305.07 157645.35 172882.29 126242.08
7 369367.0 328706.99 314512.72 318299.50 378002.98 394253.36 342695.44
8 284568.7 126665.94 118197.28 88425.63 126084.82 142319.72 90296.94
9 414782.5 353630.30 340517.12 335671.72 391346.78 407900.86 354423.26
10 237476.2 134243.04 120321.36 120845.22 178759.27 195407.51 145571.94
11 270859.3 101503.45 99465.19 62490.05 76137.05 90459.16 45715.68
12 254961.7 88925.37 93386.28 64420.80 40522.39 52688.29 38886.54
13 280013.8 137386.37 128275.90 104720.67 147917.35 164216.90 112086.22
14 244637.7 137705.98 125475.24 121509.24 178304.18 194754.42 144112.44
15 0.0 179195.53 182462.61 219629.33 237996.02 240787.01 241717.88
16 179195.5 0.00 16059.81 43833.48 72096.86 82951.56 66189.36
17 182462.6 16059.81 0.00 40705.82 80846.51 93504.16 68488.08
18 219629.3 43833.48 40705.82 0.00 60705.01 76378.18 32436.96
19 237996.0 72096.86 80846.51 60705.01 0.00 17987.06 39770.76
20 240787.0 82951.56 93504.16 76378.18 17987.06 0.00 55055.89
21 241717.9 66189.36 68488.08 32436.96 39770.76 55055.89 0.00
22 237561.0 97974.09 86671.24 74152.51 125944.15 142994.63 92716.12
23 245404.9 96022.31 85269.90 65182.67 119213.95 135707.11 82054.27
24 204425.0 56737.82 50235.68 58502.65 84350.96 99100.10 74621.10
25 160180.1 48560.22 51916.17 81167.50 94489.70 103765.87 98564.25
26 275486.3 106969.34 105014.18 70620.08 78011.26 92692.58 54152.34
27 287437.2 123093.80 118064.57 83655.39 106065.03 121014.70 74625.68
28 246781.1 83364.80 85455.78 59528.36 53021.70 67430.06 43227.68
29 281973.9 136972.52 129199.94 105637.28 138546.46 154739.46 107994.53
30 281018.3 151757.60 163508.30 151115.59 91492.64 75729.01 127825.87
31 299604.3 167160.92 178737.65 163364.46 103364.57 87791.89 138125.56
32 213586.9 88275.06 101063.96 99577.13 56795.78 47420.81 87569.09
33 286578.8 154068.28 165747.39 151718.90 91486.18 75922.18 127480.94
34 292695.6 158169.07 169628.10 154144.38 93805.19 78651.36 128960.51
35 300119.0 170357.08 182104.65 167580.28 107438.33 91797.02 142699.12
36 294250.1 166143.70 178111.12 164426.21 104354.63 88406.04 140023.39
37 114681.7 247087.08 245623.70 278281.71 308048.70 314061.40 301765.62
38 289783.5 152219.87 163404.20 147513.54 87263.54 72376.18 122331.46
22 23 24 25 26 27 28
1 132492.37 122951.21 95824.23 113265.75 75577.53 102663.47 59141.50
2 90256.41 84056.53 53214.67 81918.52 59862.71 81866.04 42720.87
3 104159.98 93217.83 82912.72 109097.28 52002.43 75411.84 44640.58
4 84861.06 76656.26 52259.72 77587.71 79587.67 94236.48 66734.23
5 36817.34 20376.97 79376.25 114205.43 79621.20 71458.76 89341.02
6 65703.16 64649.09 110156.75 127783.65 139038.39 129247.36 141527.21
7 257571.18 262493.10 318376.57 339102.70 334455.20 310381.38 348929.48
8 52620.63 45336.01 106292.51 148349.82 59729.11 32197.32 88169.08
9 267605.70 273051.63 339353.46 364975.82 334854.49 306975.93 354766.76
10 59076.36 68624.34 121499.95 147264.58 141320.05 125124.52 149645.07
11 79432.40 70300.95 89061.52 125156.32 18409.36 31395.91 42245.44
12 107527.66 103206.70 82599.91 105569.00 43648.63 73768.95 20848.83
13 47719.54 48164.38 119878.29 156409.49 84994.43 58780.90 107882.09
14 59496.42 66531.28 130948.29 154522.11 138418.79 120582.91 148636.47
15 237561.05 245404.88 204424.99 160180.13 275486.25 287437.22 246781.14
16 97974.09 96022.31 56737.82 48560.22 106969.34 123093.80 83364.80
17 86671.24 85269.90 50235.68 51916.17 105014.18 118064.57 85455.78
18 74152.51 65182.67 58502.65 81167.50 70620.08 83655.39 59528.36
19 125944.15 119213.95 84350.96 94489.70 78011.26 106065.03 53021.70
20 142994.63 135707.11 99100.10 103765.87 92692.58 121014.70 67430.06
21 92716.12 82054.27 74621.10 98564.25 54152.34 74625.68 43227.68
22 0.00 25291.21 79871.66 113944.89 83254.82 71516.23 91648.08
23 25291.21 0.00 87206.67 121826.50 78712.35 64964.20 90994.14
24 79871.66 87206.67 0.00 51443.88 87423.47 102738.22 67598.60
25 113944.89 121826.50 51443.88 0.00 124954.48 143518.66 95222.07
26 83254.82 78712.35 87423.47 124954.48 0.00 32059.67 37387.13
27 71516.23 64964.20 102738.22 143518.66 32059.67 0.00 65728.55
28 91648.08 90994.14 67598.60 95222.07 37387.13 65728.55 0.00
29 56041.61 64374.31 108212.02 147690.68 68643.06 47113.05 90939.26
30 214493.17 208460.15 161106.89 159240.57 151814.34 181895.59 128280.91
31 226505.07 219341.57 177189.44 177318.06 159785.70 189252.18 139662.07
32 161380.49 158163.66 104284.29 92923.11 122727.26 150313.63 89637.24
33 214830.12 208459.62 163737.08 162965.76 150303.86 180342.33 128126.12
34 216366.62 209811.32 167010.37 167607.25 149889.20 179737.83 129008.11
35 230629.15 223831.29 180212.53 179324.09 164218.65 193883.02 143461.72
36 227719.51 221131.22 176616.77 174675.19 162585.70 192356.05 140737.12
37 268608.06 280529.16 256549.24 226087.30 322433.09 325814.88 299758.00
38 209912.81 203208.66 160692.99 162438.53 143682.82 173564.25 123037.04
29 30 31 32 33 34 35
1 140555.81 88362.08 97910.311 67743.73 87849.264 89213.801 102621.546
2 109459.09 128460.89 141146.578 83485.63 129334.169 131593.930 145259.760
3 113253.05 118517.36 127573.197 87716.39 117683.955 118612.487 132357.229
4 116974.40 146663.71 160016.903 95176.51 148204.028 151152.130 164088.593
5 78177.55 200373.38 211376.740 150917.57 200461.945 202086.648 215896.705
6 119347.74 247390.34 260359.754 187392.72 248492.186 251194.689 264478.433
7 279223.68 467730.93 480176.095 407818.60 468716.078 470702.639 484516.684
8 37671.35 208205.74 216462.692 170308.52 207026.358 206953.747 221147.244
9 272333.90 479937.07 490199.046 425705.18 479656.359 480426.738 494711.841
10 100169.93 268434.83 281297.559 210111.43 269323.455 271410.186 285385.927
11 71829.74 153218.48 161334.172 120647.41 151998.443 151853.021 165993.509
12 106051.27 112399.59 122239.349 81888.51 111449.700 111877.377 126358.048
13 35590.94 232363.97 241286.837 188679.57 231305.393 231450.447 245800.643
14 95515.60 268817.57 280435.968 212448.84 268892.496 270562.905 284657.200
15 281973.94 281018.30 299604.301 213586.88 286578.813 292695.562 300119.012
16 136972.52 151757.60 167160.921 88275.06 154068.283 158169.069 170357.081
17 129199.94 163508.30 178737.645 101063.96 165747.393 169628.100 182104.651
18 105637.28 151115.59 163364.464 99577.13 151718.900 154144.382 167580.281
19 138546.46 91492.64 103364.566 56795.78 91486.178 93805.191 107438.333
20 154739.46 75729.01 87791.888 47420.81 75922.178 78651.358 91797.020
21 107994.53 127825.87 138125.556 87569.09 127480.941 128960.507 142699.124
22 56041.61 214493.17 226505.071 161380.49 214830.123 216366.615 230629.146
23 64374.31 208460.15 219341.570 158163.66 208459.618 209811.323 223831.289
24 108212.02 161106.89 177189.437 104284.29 163737.082 167010.370 180212.526
25 147690.68 159240.57 177318.065 92923.11 162965.755 167607.249 179324.086
26 68643.06 151814.34 159785.700 122727.26 150303.858 149889.202 164218.649
27 47113.05 181895.59 189252.180 150313.63 180342.328 179737.835 193883.022
28 90939.26 128280.91 139662.071 89637.24 128126.120 129008.109 143461.717
29 0.00 217293.41 226633.517 176875.59 216426.232 216343.761 230778.538
30 217293.41 0.00 21251.012 75023.45 10127.638 16377.362 21913.649
31 226633.52 21251.01 0.000 94040.57 14575.132 11336.729 5732.266
32 176875.59 75023.45 94040.573 0.00 80465.971 85721.534 95848.155
33 216426.23 10127.64 14575.132 80465.97 0.000 7246.075 16693.968
34 216343.76 16377.36 11336.729 85721.53 7246.075 0.000 14592.490
35 230778.54 21913.65 5732.266 95848.15 16693.968 14592.490 0.000
36 228736.60 17014.89 8909.463 90299.76 13400.546 13702.926 6459.111
37 307344.00 360206.97 379696.717 287358.04 366116.375 371589.190 380613.088
38 210367.57 17279.33 17141.486 81893.55 9193.120 7498.412 21114.651
36 37 38
1 100360.783 324961.5 82261.308
2 142365.313 292652.4 124732.312
3 130211.910 316469.5 111790.392
4 160906.822 278785.7 144312.103
5 213289.895 282837.6 195256.830
6 261092.670 244121.3 244625.621
7 481489.750 335743.3 464015.570
8 219402.968 317323.8 200484.297
9 492191.946 380614.4 474075.872
10 282232.642 252730.1 264840.323
11 164101.006 317473.5 145599.956
12 123915.073 312799.9 105872.492
13 243653.651 304327.2 225249.620
14 281637.851 261831.5 264166.648
15 294250.101 114681.7 289783.480
16 166143.697 247087.1 152219.870
17 178111.123 245623.7 163404.200
18 164426.211 278281.7 147513.539
19 104354.631 308048.7 87263.535
20 88406.038 314061.4 72376.183
21 140023.391 301765.6 122331.457
22 227719.509 268608.1 209912.808
23 221131.224 280529.2 203208.663
24 176616.772 256549.2 160692.989
25 174675.189 226087.3 162438.529
26 162585.699 322433.1 143682.816
27 192356.048 325814.9 173564.253
28 140737.117 299758.0 123037.036
29 228736.603 307344.0 210367.573
30 17014.895 360207.0 17279.329
31 8909.463 379696.7 17141.486
32 90299.763 287358.0 81893.547
33 13400.546 366116.4 9193.120
34 13702.926 371589.2 7498.412
35 6459.111 380613.1 21114.651
36 0.000 374580.1 20106.263
37 374580.071 0.0 368329.212
38 20106.263 368329.2 0.000berdasarkan hasil dari matriks diatas dapat dilihat bahwa matriks D berukuran 38x38 dengan elemen matriks dij, yaitu jarak euclidean antar objek.
Nilai Eigen dan Vektor Eigen
> eigen_result = eigen(B)
> eigen_values = eigen_result$values
> eigen_values
[1] 4.719148e+11 1.466536e+11 1.542172e+10 4.765644e+09 2.528552e+09
[6] 1.168784e+08 3.443301e-05 2.718865e-05 1.837536e-05 1.706808e-05
[11] 1.304463e-05 9.767325e-06 9.679084e-06 9.276085e-06 8.955942e-06
[16] 8.821301e-06 7.815826e-06 5.089358e-06 2.422073e-06 1.529949e-06
[21] 1.151240e-06 1.133202e-06 5.401126e-07 3.537230e-07 4.115769e-08
[26] -7.101617e-07 -1.380846e-06 -2.821658e-06 -3.361339e-06 -4.472029e-06
[31] -5.105545e-06 -6.917296e-06 -1.233762e-05 -1.285020e-05 -1.362979e-05
[36] -1.526024e-05 -4.375277e-05 -4.407255e-05
> eigen_vectors = eigen_result$vectors
> eigen_vectors
[,1] [,2] [,3] [,4] [,5]
[1,] -0.092651258 -0.0521290400 -0.112512610 0.063104265 0.158819400
[2,] -0.030077660 -0.0183870102 -0.104585613 -0.156501009 0.120735750
[3,] -0.049708918 -0.0743821110 -0.100756439 0.097971324 0.101782195
[4,] -0.006802353 0.0145502882 -0.243230012 -0.100686797 0.223230995
[5,] 0.072592408 -0.0579996889 -0.182515240 0.008947366 0.052588593
[6,] 0.140051953 0.0425774130 -0.297559262 0.112724500 -0.057517159
[7,] 0.463512429 -0.0319756866 -0.290478226 -0.070085242 0.359603463
[8,] 0.071572061 -0.1713186759 0.094672574 -0.020074175 0.088606642
[9,] 0.473686690 -0.1966167039 0.177330487 0.245063563 -0.135743315
[10,] 0.175476385 -0.0063861064 -0.064715366 -0.144065073 -0.032476260
[11,] -0.005730942 -0.1294757343 0.118352068 0.108592127 0.125214391
[12,] -0.058888010 -0.0668805519 0.156907702 0.012033522 -0.106557353
[13,] 0.109863827 -0.1513833764 0.192732301 0.120555505 -0.136154090
[14,] 0.174239264 -0.0309603120 -0.025090448 0.124538336 -0.378401309
[15,] 0.047460236 0.5655960039 -0.062412352 0.123691212 -0.382767890
[16,] -0.006185608 0.1114800962 -0.194250158 0.001378275 -0.168440322
[17,] 0.013047736 0.0992524026 -0.218406438 -0.086718595 -0.092703062
[18,] 0.002212413 0.0009143971 -0.173039002 0.082199591 -0.039010211
[19,] -0.083958988 -0.0080927453 -0.075497408 0.043993180 -0.116766287
[20,] -0.107532199 0.0032481536 -0.079915372 0.132202770 -0.073474484
[21,] -0.032801722 -0.0463218272 -0.093126806 0.167752870 0.028609228
[22,] 0.095760508 -0.0444696382 0.066083697 -0.110461894 -0.090801066
[23,] 0.085529556 -0.0686038093 -0.052795907 0.105127511 0.062382140
[24,] 0.009813097 0.0579617488 0.014457065 -0.615274804 0.106414548
[25,] -0.009471781 0.1750568957 0.018137754 -0.458484261 -0.251000930
[26,] -0.011411548 -0.1390840272 0.175508048 -0.095935351 -0.026955948
[27,] 0.027921502 -0.1769185986 0.185366639 0.008524675 0.089239755
[28,] -0.035018555 -0.0524728624 0.209583368 -0.125522909 -0.093293977
[29,] 0.081899418 -0.1520549770 0.358452596 -0.193762650 -0.106494177
[30,] -0.214402271 0.0069648555 0.022114659 0.005861862 0.129001925
[31,] -0.232880575 -0.0309921367 -0.002798195 0.095977769 0.019327276
[32,] -0.121322950 0.1064004223 0.065412759 0.081264008 0.242763996
[33,] -0.215868433 -0.0118428355 0.013644559 0.036698563 -0.001739479
[34,] -0.218534229 -0.0287342753 0.029131133 0.052664917 -0.027659744
[35,] -0.239018819 -0.0232114455 0.012302653 0.073653883 0.008745937
[36,] -0.234343018 -0.0097268593 0.024139769 0.090003120 0.028978454
[37,] 0.171150842 0.6286975471 0.433567142 0.158284046 0.388055044
[38,] -0.209180484 -0.0322791891 0.005787880 0.024763999 -0.016142666
[,6] [,7] [,8] [,9] [,10]
[1,] 0.037154288 0.00000000 0.000000000 0.00000000 -0.769487203
[2,] -0.030709422 0.35378013 0.005668678 -0.52299684 -0.072382767
[3,] -0.051369137 0.07853219 -0.563497649 -0.17732886 0.124675794
[4,] -0.031546368 0.05209763 -0.315762438 0.32069682 0.038045560
[5,] -0.074712038 -0.31321158 0.423282371 -0.19186292 0.046994168
[6,] 0.126342200 -0.02931412 0.114808349 -0.20053103 -0.011093887
[7,] -0.305277162 -0.04827049 0.001485021 0.19091794 -0.251034533
[8,] 0.101280401 -0.09575978 -0.142499589 0.24462912 -0.043665587
[9,] -0.313366092 -0.30302271 -0.086298524 -0.17443453 0.126837482
[10,] 0.141543278 0.10322394 0.209728171 -0.12279967 -0.009680310
[11,] 0.054604362 0.02918877 0.136015524 0.13561306 0.059015417
[12,] -0.087975291 0.08849822 -0.104773550 -0.22324970 -0.171775819
[13,] 0.088790104 0.04768132 0.014626776 -0.00374433 -0.221690841
[14,] 0.294292195 -0.07803187 -0.115377668 0.05686420 -0.173231658
[15,] -0.359949225 0.13913957 0.066288184 0.20535473 -0.037735690
[16,] 0.321849562 -0.16080073 -0.113106930 0.05320984 -0.052018722
[17,] 0.232675053 -0.20999879 -0.072601014 0.01949158 0.035363101
[18,] -0.034689039 -0.12246716 0.010127271 -0.04298460 0.002304696
[19,] -0.021717197 -0.18417820 -0.074742644 -0.04680214 -0.039042433
[20,] 0.029767207 -0.02460577 -0.013109387 -0.29718941 -0.093311897
[21,] 0.076521690 -0.05101933 -0.003933691 -0.08176256 -0.024846726
[22,] 0.066786689 -0.03859889 -0.144169132 0.03522672 -0.109342203
[23,] 0.294298995 -0.03005014 0.137317284 0.01112276 0.092245497
[24,] 0.151693749 -0.19449372 0.081975152 -0.01189831 0.099741842
[25,] -0.259696681 -0.11377873 -0.110050868 -0.11623707 -0.156488125
[26,] -0.071296877 -0.11056885 -0.113484562 -0.07590181 -0.119234879
[27,] -0.034248285 0.06982207 0.047215434 0.06403431 -0.007167092
[28,] 0.041090393 -0.05173909 -0.168184839 -0.04549192 -0.108312197
[29,] -0.004947480 0.02244323 0.159197905 0.12074725 -0.048350478
[30,] -0.123468157 -0.24131285 0.038946371 -0.20258032 0.013816054
[31,] -0.058385126 0.09389604 0.233465444 0.15623451 -0.039828666
[32,] -0.224921104 -0.19198257 -0.044373185 -0.06996998 0.053414611
[33,] -0.039730771 -0.44679645 -0.089883076 0.02074555 0.064688592
[34,] -0.116913395 0.05485806 0.191171969 0.07990345 -0.085813336
[35,] -0.043768450 -0.06136717 0.011501270 0.13238167 0.013460868
[36,] 0.003954449 0.04238205 -0.098734913 -0.01345182 0.053767160
[37,] 0.268636420 -0.12061712 -0.037047055 -0.12538863 -0.101982961
[38,] -0.042593739 -0.30729187 0.078882931 0.07305835 -0.246879042
[,11] [,12] [,13] [,14] [,15]
[1,] 0.00000000 0.00000000 0.000000000 0.0000000000 0.000000000
[2,] 0.30821329 -0.03735928 -0.064045224 -0.0009560447 -0.105654287
[3,] -0.28590546 0.08738900 -0.003483605 -0.1102053961 -0.148230887
[4,] 0.10453831 0.23455573 0.017412386 0.1840381334 -0.144449637
[5,] -0.12672860 0.35798734 0.133451703 -0.1379827206 -0.258210782
[6,] 0.23725683 0.22340750 0.017348260 0.1587118716 0.041498213
[7,] -0.09191785 -0.15822520 -0.003224092 -0.1011814227 0.103150499
[8,] 0.06934404 0.10451314 -0.046694703 0.1905964350 -0.057238384
[9,] -0.07364262 0.03070324 0.094446150 0.0202183650 0.104883048
[10,] -0.19071868 -0.25270020 0.017757055 0.2573569600 -0.225820922
[11,] 0.15778813 -0.05828733 0.104735426 -0.0971941928 -0.302509065
[12,] -0.03047864 0.15208727 0.339240071 0.1682090108 0.191336713
[13,] -0.04110929 0.10284749 -0.006685421 0.2535912189 0.302837712
[14,] -0.10842967 -0.24078084 0.009591037 0.0514236689 -0.515369047
[15,] 0.21102580 0.01029919 0.110321287 0.1501993680 -0.105809730
[16,] -0.09958634 0.21376432 -0.116540340 -0.1776401026 0.149977972
[17,] 0.05370486 0.09441732 -0.052086631 0.2289278149 0.061155086
[18,] -0.02785870 -0.08494477 -0.144098626 -0.3210177756 -0.034413963
[19,] -0.10909916 -0.12920056 -0.196451757 0.0171444316 -0.052542178
[20,] -0.10291802 -0.05825853 -0.045944784 0.0004595756 0.072372787
[21,] 0.01266479 0.25549757 0.174145575 -0.0163028285 -0.160622470
[22,] 0.24026217 0.07893144 0.162198101 -0.2788749531 -0.089904441
[23,] 0.33448572 0.05490995 -0.148686398 -0.0702820049 0.225841699
[24,] -0.15860461 -0.05002396 0.274163654 0.1213099033 0.026766418
[25,] -0.00171296 0.10028912 -0.208926692 -0.1722119867 0.039178092
[26,] 0.27672936 0.05543943 -0.071641668 -0.1235274399 -0.155661215
[27,] 0.14509733 -0.06886277 -0.249372236 0.1782297825 -0.138595026
[28,] 0.09603241 0.14642101 0.048761005 -0.1032017218 -0.169347865
[29,] -0.06706085 0.20128170 -0.124909298 -0.0697450408 -0.038308294
[30,] 0.04562958 -0.18705320 -0.045344877 0.1911707241 -0.111282845
[31,] -0.04325443 -0.07398495 0.115758706 -0.3930915403 -0.028072341
[32,] 0.09021096 0.16960113 -0.092805588 0.2327016351 -0.246537301
[33,] 0.27104883 -0.27346672 -0.166118295 -0.0135376035 0.153977065
[34,] -0.33791644 0.30241058 -0.466128092 0.1328240435 -0.047523911
[35,] 0.03065564 0.20412658 0.311455019 0.0061368862 0.009739217
[36,] -0.21856964 -0.15161395 0.208169534 -0.0079608331 0.088843346
[37,] -0.09922687 0.03988494 -0.037438957 -0.1052626590 -0.018627730
[38,] 0.02168303 -0.14651039 0.237453979 0.1336836594 0.025780764
[,16] [,17] [,18] [,19] [,20]
[1,] 0.00000000 0.000000000 0.00000000 0.0000000000 0.00000000
[2,] 0.06979040 0.079595084 0.01261326 0.0141290116 -0.02763379
[3,] -0.18645998 -0.150327180 -0.02409784 0.0158744759 0.10891053
[4,] 0.16638742 -0.136214888 0.12673349 -0.0015110718 -0.05960016
[5,] -0.13374639 -0.142997009 0.02825932 0.0843275897 -0.03935552
[6,] -0.05729531 -0.020663664 0.22204841 -0.3420992744 -0.17955841
[7,] 0.02443192 -0.163096899 -0.07246497 -0.0659185720 -0.04069367
[8,] 0.08736192 0.208561239 -0.19175327 0.3190029856 -0.11395471
[9,] -0.00465972 0.040453881 0.01799096 0.0289644526 0.06179052
[10,] 0.21946784 -0.065028124 -0.27214319 0.0326991164 0.15514026
[11,] -0.12948482 -0.079069592 0.05923889 0.0637777945 0.23164087
[12,] -0.19333516 -0.011327947 -0.20593856 -0.1272798474 -0.29727177
[13,] 0.07299907 -0.176237995 -0.05835673 0.1371049294 0.01939563
[14,] -0.09399046 -0.022849166 -0.12387476 -0.1309792517 -0.11732114
[15,] -0.03907818 -0.160915427 -0.04414619 0.1384381063 -0.02516092
[16,] -0.12214732 -0.208681837 -0.17024792 0.0141699214 0.11768936
[17,] 0.02163266 0.197869016 0.11725284 0.2550598186 -0.11581620
[18,] 0.04376786 0.242771248 -0.15669464 0.1645834003 -0.33851522
[19,] 0.17126022 0.083195834 0.40228737 -0.2781736108 -0.10091126
[20,] 0.13157262 0.003278355 0.09633998 0.3825782071 0.32246860
[21,] 0.29599694 0.048851886 -0.06987986 0.2588419644 -0.23234920
[22,] -0.04314240 0.338407677 -0.26908947 -0.3268882733 0.12187625
[23,] -0.02327176 -0.185838835 -0.31067037 -0.0404448185 0.15677390
[24,] -0.19512972 -0.054751170 0.02437508 0.0329629998 -0.06937800
[25,] -0.01797331 0.049068202 -0.16903967 0.1347963821 0.05483551
[26,] -0.16616249 -0.056261312 0.21743822 0.2155588025 -0.07156259
[27,] -0.48467832 -0.048897087 0.02834165 0.1639320845 -0.24845800
[28,] 0.20357964 -0.492610514 0.10382506 -0.0524789975 0.11125625
[29,] 0.43516343 0.023341673 0.11015531 -0.1298898612 -0.14385764
[30,] 0.10855559 -0.321312165 -0.22812876 -0.0708212867 -0.18974532
[31,] 0.04299204 -0.097494133 -0.03039391 0.1322713311 -0.15036160
[32,] 0.13594985 0.233475172 -0.29580043 -0.1092613370 0.22084944
[33,] 0.07460035 -0.174197209 -0.10521266 -0.0889622926 -0.10792316
[34,] -0.20073422 0.024912292 -0.11463726 -0.1912050781 0.04208084
[35,] -0.01652213 0.007825273 -0.09014450 -0.0844655198 0.05060983
[36,] 0.07487640 -0.011584318 -0.11502007 -0.0460858659 -0.24565196
[37,] -0.03314832 0.030828465 0.08326341 -0.0003896831 -0.09767463
[38,] -0.12085621 0.195612928 0.21149315 -0.0040058493 0.31664191
[,21] [,22] [,23] [,24] [,25]
[1,] 0.000000000 0.000000000 0.00000000 0.000000e+00 0.0000000000
[2,] -0.017068207 0.057586876 0.15426814 2.991475e-02 0.0824468207
[3,] -0.052201796 -0.161849670 -0.27232082 -5.170155e-02 0.0358880559
[4,] 0.240267670 0.066068764 0.00504689 -6.120143e-02 -0.1551039772
[5,] 0.145197338 -0.102713484 0.03264503 -1.470562e-01 -0.1204723146
[6,] -0.203472039 0.153827148 -0.19013441 8.181207e-02 0.0294162318
[7,] 0.062735661 -0.013317184 0.12204414 2.314544e-02 0.0002447644
[8,] -0.223865042 -0.021754591 -0.16653926 -1.557312e-01 0.1984766442
[9,] -0.002022492 0.043816864 0.07455671 4.140676e-02 0.0369466160
[10,] 0.044700401 -0.169505954 -0.30145837 -1.575941e-01 0.0326380362
[11,] -0.166053681 0.179818993 0.21447953 1.961485e-01 0.0432607261
[12,] 0.067520385 -0.134899915 0.09414055 -2.179060e-01 -0.1346781944
[13,] -0.160271660 0.168035467 -0.11168944 1.087264e-01 0.0598839239
[14,] -0.038701128 0.006529826 0.24010768 2.568479e-02 -0.1180726056
[15,] 0.126833803 0.007544292 -0.13990189 -1.287971e-01 0.1189266108
[16,] 0.181266640 0.051467345 -0.02611927 2.373913e-01 0.2304512076
[17,] 0.050482367 -0.022338527 0.33065638 -6.620735e-02 -0.1589489805
[18,] -0.132333118 0.502973604 -0.32440591 -2.038771e-01 -0.2045869061
[19,] 0.006085718 -0.288106770 -0.26155681 2.323302e-02 -0.0193734113
[20,] 0.437180709 0.234665287 -0.01588109 -7.265888e-05 -0.0804428028
[21,] -0.066682074 -0.292568014 0.05455417 3.050127e-01 0.2086165978
[22,] 0.349734628 0.083219256 -0.08933665 1.835587e-02 0.1899512401
[23,] 0.027021149 -0.318301831 -0.12641340 -2.302898e-01 -0.2982961950
[24,] -0.025622483 0.159284787 -0.08286023 -4.487798e-02 0.1501054286
[25,] -0.250122130 -0.205184522 0.04126956 3.116741e-01 -0.2584152590
[26,] 0.099860260 -0.136944025 -0.03122119 -3.703339e-01 0.3264223621
[27,] 0.291128168 -0.035186770 -0.21563452 3.347927e-01 -0.2962974877
[28,] -0.216220057 0.237090380 0.02001894 -1.930828e-01 -0.2641744199
[29,] 0.325690061 0.011386970 -0.07027273 6.297262e-02 -0.0679732897
[30,] 0.090299841 0.127101062 -0.13081838 2.211234e-01 0.2247480738
[31,] -0.111928579 -0.195784792 -0.04832663 -1.732341e-02 0.0186005455
[32,] -0.064840547 0.015522258 0.04330414 -1.867438e-02 -0.1747541694
[33,] 0.041948704 -0.027389560 0.19666926 -6.163460e-02 0.1244990057
[34,] -0.034202607 0.104718869 0.18078937 -2.138649e-01 0.2188912497
[35,] -0.015934317 0.117809189 -0.19372347 2.249434e-01 -0.1024927476
[36,] 0.179512072 0.015232910 0.21742600 -8.730448e-02 -0.1887506420
[37,] -0.004022325 -0.023341914 -0.02819155 -2.274268e-03 -0.0236429085
[38,] -0.051574959 -0.093771734 -0.17506761 -4.257574e-02 -0.1172773099
[,26] [,27] [,28] [,29] [,30]
[1,] 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
[2,] 0.155146379 0.092372719 0.022295690 0.03578403 -0.042428894
[3,] -0.104295710 -0.177826683 -0.014161555 -0.05445965 0.142615877
[4,] 0.122976418 0.173448786 0.092111919 0.08287714 -0.059236487
[5,] 0.160770679 0.300343039 0.019121597 -0.06066854 -0.107135754
[6,] -0.403593415 -0.015529476 0.131422832 -0.04749176 -0.002103471
[7,] -0.015080774 -0.141913904 -0.014192376 0.02153406 0.055267392
[8,] -0.052075703 0.407256608 0.095115582 -0.28521918 -0.162273011
[9,] 0.004854631 0.001897252 -0.039965156 -0.01098414 0.025877470
[10,] 0.033699508 0.059348984 0.090699571 0.01196144 0.377013345
[11,] 0.307361292 -0.084106582 0.294793873 0.01698378 0.273545564
[12,] 0.066719648 0.049479849 0.298236202 -0.08700279 0.245715048
[13,] 0.252949975 -0.122619459 0.110173115 0.21688422 -0.066982276
[14,] -0.114219594 0.032311576 -0.025051838 0.17920769 -0.224356744
[15,] 0.084457785 -0.136638171 0.043001125 -0.06787448 -0.050626644
[16,] -0.068836785 0.110378031 0.247260864 0.15444597 0.117552597
[17,] 0.018555014 -0.186504996 -0.230089320 -0.07469817 0.528246707
[18,] 0.154383957 -0.144457361 0.018151377 0.10995806 0.078360279
[19,] 0.480633030 -0.021377276 0.228662348 -0.01311518 -0.025369716
[20,] -0.104244161 -0.010024989 0.175403999 -0.12950541 -0.153760943
[21,] 0.104608166 -0.426405190 -0.068019266 -0.13027075 -0.175370880
[22,] 0.151805383 -0.091072211 -0.099521098 -0.29481840 0.025156842
[23,] 0.120892840 -0.201149359 -0.149129058 0.09208788 -0.187456686
[24,] 0.042548021 -0.341341205 0.171499187 0.02160787 -0.251512852
[25,] 0.014860113 0.149581732 -0.004486317 0.05437567 -0.025404109
[26,] -0.085121218 -0.053534502 -0.087267331 0.49430587 0.061361980
[27,] -0.034829316 -0.107889695 0.055954550 -0.17375625 0.004802847
[28,] 0.001923335 -0.111743536 -0.102752909 -0.34380980 0.022245418
[29,] -0.241247761 -0.093833201 0.044367187 0.10562217 0.125790298
[30,] -0.028106078 0.094208661 -0.386364224 -0.01201013 0.083618084
[31,] -0.292593861 -0.063342755 0.214645680 -0.09159250 0.163567141
[32,] -0.209371832 -0.224289682 0.325971190 0.24234650 -0.053263345
[33,] 0.003984388 0.034919035 0.294185451 -0.14462509 0.056023558
[34,] 0.109992992 -0.163627693 -0.128064225 -0.13443554 -0.006524720
[35,] 0.151052736 0.164840887 -0.207154680 0.31611464 0.177806585
[36,] 0.028507664 0.001782942 -0.026022371 0.14005358 -0.225128287
[37,] 0.046244487 0.089202004 -0.024678416 -0.01287178 0.039283753
[38,] -0.133419711 -0.074453806 -0.167199592 -0.07167972 -0.025518626
[,31] [,32] [,33] [,34] [,35]
[1,] 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
[2,] 0.149103389 -0.089496829 0.523133191 0.039351981 0.123305701
[3,] -0.121482465 0.151858741 0.172692007 0.063422702 -0.010454081
[4,] -0.069728684 0.100172917 -0.011569393 -0.260665911 0.180785119
[5,] 0.140820817 0.173436713 -0.049445245 0.118775575 0.012826598
[6,] -0.193621381 0.134824532 0.003194014 -0.077193873 -0.328770417
[7,] -0.067827786 -0.051540910 0.078238231 0.105069248 -0.094490797
[8,] -0.126715312 -0.155550770 0.194424427 0.178010475 -0.184087927
[9,] 0.008581694 -0.091030419 0.288466373 -0.091246124 0.032836428
[10,] 0.129721058 0.162253068 0.016023332 -0.277437686 -0.172032704
[11,] -0.305626294 -0.166107010 -0.036067892 -0.085700237 -0.280370469
[12,] -0.185674990 -0.249572435 -0.181326429 -0.092038613 0.172530170
[13,] 0.142613139 0.412532524 -0.040499083 0.223628315 0.030010399
[14,] -0.156868223 0.053227985 0.103890198 0.055159545 0.213307287
[15,] -0.012221142 -0.066317412 0.160044341 0.069266495 -0.069849318
[16,] 0.328889722 -0.396808721 0.106942764 -0.016998447 -0.041489590
[17,] -0.002988664 0.059292177 0.091809035 0.292512981 -0.052756724
[18,] 0.036098365 -0.106328543 -0.038010696 -0.179507438 0.082428163
[19,] -0.057254337 -0.151977195 0.028368806 0.273680693 -0.065422332
[20,] -0.391596427 0.057796294 -0.051002342 0.043823930 -0.032945867
[21,] 0.047132724 -0.024399892 -0.078504951 -0.310444057 0.009721143
[22,] 0.039279580 0.245800560 -0.094556097 0.143139153 -0.117122179
[23,] -0.269724664 -0.147234695 0.125998449 0.021462792 -0.008136959
[24,] -0.137031483 -0.012266439 0.162528940 0.073350267 0.084082622
[25,] -0.200072300 0.105530975 -0.068290706 -0.127928520 -0.192616975
[26,] -0.001971711 0.034439192 -0.138435852 -0.042490434 -0.185890973
[27,] 0.200603953 0.039564456 0.065433433 -0.017780877 -0.061185055
[28,] 0.238145494 -0.090993495 0.003716977 0.053165230 -0.088838792
[29,] -0.142746424 -0.118466784 0.210556103 -0.039624622 0.020000601
[30,] -0.188268362 -0.208297807 -0.177133376 0.201572380 0.033370583
[31,] -0.049043510 0.154431204 0.203275208 0.283879035 0.137997998
[32,] 0.192867163 -0.053464231 -0.094211349 0.266237109 0.022001491
[33,] 0.023445648 0.355764149 0.176373052 -0.269098241 0.093918268
[34,] -0.138098725 0.037451271 0.192171317 -0.167676317 -0.042224082
[35,] -0.171106026 0.162525493 0.351187752 0.001337415 0.041644476
[36,] 0.145316296 0.005649654 0.163316434 -0.003784771 -0.674555457
[37,] -0.066736470 0.085855955 0.079739176 -0.079679544 0.003258791
[38,] 0.148359625 -0.179542124 0.183734527 -0.255428265 0.035838769
[,36] [,37] [,38]
[1,] 0.000000000 0.000000000 0.594426171
[2,] -0.100443969 0.002165606 -0.133520963
[3,] -0.251178907 0.279838499 0.093667115
[4,] -0.231923860 -0.400905663 -0.043554929
[5,] -0.166789631 0.206041369 0.022185466
[6,] -0.011736851 -0.064928018 -0.049615874
[7,] 0.163482713 0.171936883 -0.380062588
[8,] 0.041643662 0.095300003 -0.070347471
[9,] -0.002269416 -0.393695538 0.284184951
[10,] 0.110866048 -0.136802392 0.017134303
[11,] -0.226060884 0.049105652 0.038153428
[12,] 0.035640302 0.026406779 -0.175017528
[13,] -0.296865693 -0.002732283 -0.228621307
[14,] 0.015644071 0.013470912 -0.135069134
[15,] -0.080551174 0.127448234 0.107971527
[16,] 0.007097672 -0.058487812 -0.070553022
[17,] -0.045197260 -0.016237824 0.034606955
[18,] -0.081649729 0.027039337 -0.025479541
[19,] 0.132759556 -0.092357136 -0.050741970
[20,] 0.201113986 -0.047678536 -0.148659055
[21,] 0.130165296 0.025113002 -0.089201560
[22,] -0.072621565 -0.131313793 -0.086197129
[23,] -0.070212943 -0.052712224 0.070511257
[24,] 0.042614285 -0.083378675 0.165869305
[25,] -0.090969317 -0.104540962 -0.053298349
[26,] 0.140254408 -0.085237419 -0.113262871
[27,] 0.131382818 -0.037189207 -0.007962322
[28,] 0.248972683 -0.057323958 -0.074917144
[29,] -0.228737020 0.303011360 0.054020801
[30,] -0.215086763 -0.133692729 -0.038108450
[31,] -0.073830347 -0.454030474 -0.102807797
[32,] 0.072490961 -0.021021198 0.012517103
[33,] 0.042754459 0.235297159 0.050689199
[34,] 0.058366385 -0.156790485 -0.133047050
[35,] 0.476375739 0.098106695 -0.026956970
[36,] -0.115140332 -0.078008087 0.019247296
[37,] -0.014906590 -0.067950620 -0.105416178
[38,] -0.314888414 0.012582784 -0.349579121Dari jumlah dimensi 3 didapatkan nilai eigen value pertama dari matriks B yang lebih besar dari satu (λ>1) yaitu: λ_1 : 4.719148e+11 λ_2 : 1.466536e+11 λ_3 : 1.542172e+10
Tingkat Kumulatif Variasi
> cumulative_variance
[1] 0.7357560 0.9644017 0.9884455 0.9958755 0.9998178 1.0000000 1.0000000
[8] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[15] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[22] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[29] 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000
[36] 1.0000000 1.0000000 1.0000000Berdasarkan tingkat kumulatif variasi, diperoleh dua nilai pertama bernilai 0,735756 dan 0,9644017 walaupun nilai pertama dibawah kriteria kesesuaian 0,8 dengan menambahkan dimensi kedua menyelesaikan kekurangan tersebut, sehigga dimensi sudah cukup untuk mempresentasikan data secara baik.
Titik Koordinat Objek 2 Dimensi
> fit2
Dimensi 1 Dimensi 2
1 -63647.760 -19963.0154
2 -20662.166 -7041.3759
3 -34148.066 -28484.9141
4 -4672.948 5572.0885
5 49868.121 -22211.2029
6 96210.167 16305.1833
7 318414.754 -12245.2116
8 49167.182 -65607.1426
9 325404.070 -75295.1192
10 120545.354 -2445.5839
11 -3936.931 -49583.2280
12 -40453.740 -25612.1633
13 75472.115 -57972.8434
14 119695.501 -11856.3700
15 32603.310 216597.1543
16 -4249.269 42691.7295
17 8963.280 38009.0874
18 1519.840 350.1719
19 -57676.513 -3099.1478
20 -73870.379 1243.8928
21 -22533.489 -17739.1210
22 65783.691 -17029.8181
23 58755.431 -26272.0913
24 6741.210 22196.6735
25 -6506.740 67038.7082
26 -7839.283 -53262.7605
27 19180.970 -67751.6544
28 -24056.366 -20094.6835
29 56261.669 -58230.0354
30 -147285.903 2667.2181
31 -159979.769 -11868.5573
32 -83344.081 40746.4489
33 -148293.098 -4535.2592
34 -150124.395 -11003.9007
35 -164196.500 -8888.9119
36 -160984.409 -3724.9380
37 117573.877 240762.1317
38 -143698.741 -12361.4390Titik koordinat yang telah diperoleh digunakan untuk menggambarkan posisi 38 kabupaten/kota tersebut menggunakan peta persepsi. Dimensi 1 adalah koordinat X sedangkan dimensi 2 adalah koordinat Y.
Visualisasi Hasil MDS 2 Dimensi
> plot(fit2, type = "n", xlab = "Dimensi 1", ylab = "Dimensi 2", main = "Plot MDS 2 Dimensi")
> abline(h = 0, v = 0, col = "grey", lty = 2)
> points(fit2, pch = 16, col = "orange")
> text(fit2, labels = rownames(D), pos = 4, col = "black")
Berdasarkan hasil output plot MDS 2 dimensi diatas menunjukkan bahwa objek-objek pada plot ini cenderung berkumpul di sekitar titik nol pada Dimensi 1, namun beberapa objek tersebar lebih jauh di sepanjang kedua dimensi (misalnya malang, sidoarjo, surabaya). Hal ini mengindikasikan bahwa sebagian besar objek relatif mirip satu sama lain, dengan beberapa objek yang secara signifikan berbeda (outlier).
Objek yang berada jauh dari pusat (malang. sidoarjo, surabaya) mungkin memiliki karakteristik yang unik atau berbeda signifikan dibandingkan dengan objek lainnya.
Titik Koordinat Objek 3 Dimensi
> fit3
Dimensi 1 Dimensi 2 Dimensi 3
1 -63647.760 -19963.0154 -13972.2927
2 -20662.166 -7041.3759 -12987.8847
3 -34148.066 -28484.9141 -12512.3616
4 -4672.948 5572.0885 -30205.3336
5 49868.121 -22211.2029 -22665.5160
6 96210.167 16305.1833 -36952.1702
7 318414.754 -12245.2116 -36072.8171
8 49167.182 -65607.1426 11756.8414
9 325404.070 -75295.1192 22021.6514
10 120545.354 -2445.5839 -8036.6284
11 -3936.931 -49583.2280 14697.4613
12 -40453.740 -25612.1633 19485.4634
13 75472.115 -57972.8434 23934.3140
14 119695.501 -11856.3700 -3115.8382
15 32603.310 216597.1543 -7750.6303
16 -4249.269 42691.7295 -24122.8078
17 8963.280 38009.0874 -27122.6371
18 1519.840 350.1719 -21488.7166
19 -57676.513 -3099.1478 -9375.5880
20 -73870.379 1243.8928 -9924.2295
21 -22533.489 -17739.1210 -11564.8814
22 65783.691 -17029.8181 8206.5536
23 58755.431 -26272.0913 -6556.4195
24 6741.210 22196.6735 1795.3396
25 -6506.740 67038.7082 2252.4231
26 -7839.283 -53262.7605 21795.3332
27 19180.970 -67751.6544 23019.6148
28 -24056.366 -20094.6835 26026.9508
29 56261.669 -58230.0354 44514.1625
30 -147285.903 2667.2181 2746.2920
31 -159979.769 -11868.5573 -347.4917
32 -83344.081 40746.4489 8123.2336
33 -148293.098 -4535.2592 1694.4391
34 -150124.395 -11003.9007 3617.6275
35 -164196.500 -8888.9119 1527.7956
36 -160984.409 -3724.9380 2997.7788
37 117573.877 240762.1317 53842.2052
38 -143698.741 -12361.4390 718.7635Titik koordinat yang telah diperoleh digunakan untuk menggambarkan posisi 38 kabupaten/kota tersebut menggunakan peta persepsi. Dimensi 1 adalah koordinat X, dimensi 2 adalah koordinat Y, dan dimensi 3 adalah koordinat Z.
Visualisasi Hasil MDS 3 Dimensi
> plot_ly(x = fit3[,1], y = fit3[,2], z = fit3[,3],
+ type = 'scatter3d', mode = 'markers+text',
+ text = rownames(fit3), marker = list(color = 'orange', size = 5)
+ )Berdasarkan output, diperoleh plot 3 dimensi yang dapat menentukan kemiripan Kabupaten/Kota di Provinsi Jawa Timur. Daerah Malang, Sidoarjo, Surabaya nampak terpisah jauh dari Kabupaten/Kota lainnya menunjukkan adanya perbedaan angkatan kerja yang begitu tinggi dibandingkan dengan provinsi-provinsi lainnya.
Sedangkan, daerah Kediri, Blitar, Probolinggo, Pasuruan, Mojokerto, Madiun, Batu nampak begitu dekat dibangdingkan dengan daerah Kabupaten/Kota lainnya yang menunjukkan adanya kemiripan yang cukup tinggi antara angkatan kerja di daerah tersebut.
Evaluasi Model MDS 2 Dimensi
Model MDS 2 Dimensi
Disparatis
> disparaties2d
1 2 3 4 5 6 7
1 0.00 44885.74 30705.939 64265.620 113538.141 163920.53 382140.46
2 44885.74 0.00 25331.696 20365.524 72143.225 119181.39 339116.85
3 30705.94 25331.70 0.000 45040.671 84250.098 137838.39 352936.64
4 64265.62 20365.52 45040.671 0.000 61209.798 101452.46 323578.61
5 113538.14 72143.23 84250.098 61209.798 0.000 60258.59 268731.49
6 163920.53 119181.39 137838.390 101452.463 60258.587 0.00 224031.26
7 382140.46 339116.85 352936.638 323578.614 268731.493 224031.26 0.00
8 121698.80 91137.74 91211.241 89248.208 43401.600 94459.89 274484.52
9 392966.88 352732.78 362586.450 339838.702 280602.854 246820.71 63436.12
10 185024.22 141282.29 156869.694 125474.724 73389.039 30721.21 198111.92
11 66653.88 45711.52 36849.037 55160.227 60367.303 119877.95 324506.91
12 23872.06 27140.02 6929.229 47462.855 90385.867 142947.85 359117.35
13 144218.88 108792.53 113517.056 102279.957 43982.491 77118.69 247208.70
14 183522.39 140440.23 154739.625 125583.687 70590.975 36669.25 198719.63
15 255391.82 229894.33 254009.776 214292.085 239431.629 210149.25 366137.97
16 86335.38 52371.41 77201.377 37122.059 84504.926 103866.97 327307.41
17 92914.63 53918.56 79246.706 35186.725 72798.965 89905.94 313505.52
18 68260.10 23381.11 45865.692 8100.558 53353.274 96025.10 317145.12
19 17889.82 37223.69 34612.497 53708.177 109229.661 155105.25 376202.46
20 23542.19 53849.42 49615.160 69332.660 125941.883 170746.11 392516.98
21 41174.37 10860.18 15823.099 29366.842 72539.593 123527.61 340992.50
22 129464.68 87021.00 100586.159 73993.136 16737.746 45133.06 252676.37
23 122565.68 81712.76 92929.846 70973.312 9771.136 56706.98 260037.92
24 82049.05 40072.54 65119.553 20165.809 61903.068 89662.72 313570.79
25 104088.40 75420.39 99442.472 61493.968 105563.590 114562.88 334454.66
26 64988.15 47967.10 36139.919 58919.989 65531.242 125163.84 328822.35
27 95626.11 72616.89 66225.848 77106.295 54914.788 114013.37 304338.34
28 39591.61 13487.38 13123.962 32163.645 73954.779 125654.24 342561.06
29 125867.53 92398.89 95177.163 88225.498 36581.877 84565.84 266155.68
30 86645.64 126995.38 117348.309 142642.536 198717.500 243877.70 465939.36
31 96671.49 139401.21 126924.075 156283.028 210102.611 257734.44 478394.67
32 63824.64 78820.67 84930.734 86176.463 147340.275 181210.11 405238.54
33 86039.81 127655.53 116630.504 143975.366 198948.002 245389.83 466771.53
34 86939.49 129522.86 117286.379 146392.920 200306.290 247843.71 468540.79
35 101156.73 143546.22 131516.533 160177.665 214478.776 261622.58 482622.93
36 98681.80 140361.43 129230.470 156587.699 211661.360 257973.36 479474.87
37 317519.90 283753.03 309052.616 265063.469 271549.340 225471.35 323032.16
38 80411.09 123151.54 110730.831 140177.682 193817.305 241615.52 462113.51
8 9 10 11 12 13 14
1 121698.80 392966.88 185024.224 66653.883 23872.064 144218.88 183522.394
2 91137.74 352732.78 141282.289 45711.516 27140.017 108792.53 140440.233
3 91211.24 362586.45 156869.694 36849.037 6929.229 113517.06 154739.625
4 89248.21 339838.70 125474.724 55160.227 47462.855 102279.96 125583.687
5 43401.60 280602.85 73389.039 60367.303 90385.867 43982.49 70590.975
6 94459.89 246820.71 30721.208 119877.954 142947.848 77118.69 36669.252
7 274484.52 63436.12 198111.918 324506.913 359117.351 247208.70 198719.634
8 0.00 276406.72 95311.206 55469.024 98140.247 27390.36 88675.754
9 276406.72 0.00 217426.190 330343.149 369215.836 250531.52 215268.414
10 95311.21 217426.19 0.000 133108.215 162657.304 71518.34 9449.082
11 55469.02 330343.15 133108.215 0.000 43681.681 79851.00 129260.567
12 98140.25 369215.84 162657.304 43681.681 0.000 120357.87 160738.923
13 27390.36 250531.52 71518.343 79851.000 120357.872 0.00 63893.951
14 88675.75 215268.41 9449.082 129260.567 160738.923 63893.95 0.000
15 282689.98 413440.91 236037.125 268676.730 252987.522 277896.42 244491.436
16 120755.80 350131.72 132706.726 92275.486 77305.792 128408.94 135417.138
17 111142.60 336113.99 118689.257 88537.163 80558.708 116773.10 121442.121
18 81367.29 332600.67 119058.344 50230.676 49354.071 94183.40 118804.404
19 123785.40 389824.31 178223.066 71054.292 28345.366 144012.78 177588.064
20 140026.08 406544.35 194450.738 86452.781 42870.964 160654.29 194008.677
21 86210.98 352665.90 143893.876 36876.539 19573.456 105942.68 142350.597
22 51340.67 266078.16 56670.448 76946.018 106583.528 42073.71 54159.467
23 40486.80 271117.60 66224.596 66886.032 99211.365 35838.32 62621.923
24 97516.53 333242.66 116441.505 72569.807 67179.224 105598.72 117975.767
25 143855.86 361142.22 144811.262 116650.246 98674.124 149493.88 148833.595
26 58327.70 333970.89 138076.068 5363.517 42758.137 83444.44 134088.070
27 30062.80 306316.00 120580.351 29402.875 73020.787 57134.21 115010.668
28 86215.26 353793.28 145674.803 35698.262 17300.765 106492.60 143987.739
29 10234.91 269682.87 85113.437 60816.435 102067.604 19212.17 78577.146
30 207978.85 479076.13 267880.054 152574.693 110511.694 230864.36 267376.149
31 215940.46 489510.37 280683.340 160535.864 120313.583 239923.31 279675.270
32 169912.69 424900.81 208414.139 120270.304 79012.953 186997.55 209743.006
33 206688.99 478952.99 268846.574 151221.766 109879.767 230057.48 268088.583
34 206636.51 479854.86 270805.018 151192.391 110639.297 230434.08 269821.243
35 220773.68 494083.50 284814.747 165345.568 124867.682 244643.16 283907.510
36 219073.27 491625.92 281532.670 163605.908 122501.808 242599.51 280797.672
37 313913.38 378266.54 243225.868 314746.413 309722.445 301687.16 252627.411
38 200080.91 473305.50 264430.078 144633.416 104091.844 223866.62 263394.726
15 16 17 18 19 20 21
1 255391.82 86335.38 92914.63 68260.103 17889.82 23542.19 41174.373
2 229894.33 52371.41 53918.56 23381.112 37223.69 53849.42 10860.184
3 254009.78 77201.38 79246.71 45865.692 34612.50 49615.16 15823.099
4 214292.09 37122.06 35186.72 8100.558 53708.18 69332.66 29366.842
5 239431.63 84504.93 72798.97 53353.274 109229.66 125941.88 72539.593
6 210149.25 103866.97 89905.94 96025.102 155105.25 170746.11 123527.610
7 366137.97 327307.41 313505.52 317145.125 376202.46 392516.98 340992.504
8 282689.98 120755.80 111142.60 81367.294 123785.40 140026.08 86210.984
9 413440.91 350131.72 336113.99 332600.668 389824.31 406544.35 352665.902
10 236037.12 132706.73 118689.26 119058.344 178223.07 194450.74 143893.876
11 268676.73 92275.49 88537.16 50230.676 71054.29 86452.78 36876.539
12 252987.52 77305.79 80558.71 49354.071 28345.37 42870.96 19573.456
13 277896.42 128408.94 116773.10 94183.401 144012.78 160654.29 105942.677
14 244491.44 135417.14 121442.12 118804.404 177588.06 194008.68 142350.597
15 0.00 177767.29 180145.91 218469.539 237522.44 240236.70 240735.449
16 177767.29 0.00 14017.80 42732.776 70365.30 81024.82 63136.364
17 180145.91 14017.80 0.00 38387.481 78299.10 90626.13 64030.533
18 218469.54 42732.78 38387.48 0.000 59296.76 75395.52 30096.265
19 237522.44 70365.30 78299.10 59296.763 0.00 16766.14 38070.473
20 240236.70 81024.82 90626.13 75395.517 16766.14 0.00 54734.186
21 240735.45 63136.36 64030.53 30096.265 38070.47 54734.19 0.000
22 235971.40 92039.55 79106.51 66572.566 124243.65 140844.55 88320.029
23 244273.22 93410.92 81310.07 63124.145 118715.55 135450.12 81735.550
24 196113.22 23255.92 15967.78 22461.797 69206.37 83290.14 49516.419
25 154587.60 24451.41 32894.38 67169.836 86819.72 94163.78 86279.412
26 272873.55 96021.62 92805.58 54423.705 70711.65 85621.73 38442.797
27 284665.43 112901.36 106253.17 70354.632 100434.15 115840.14 65125.645
28 243379.02 65836.58 66830.72 32743.464 37671.77 54191.98 2804.965
29 275843.62 117672.33 107233.89 80176.733 126575.37 143078.64 88590.017
30 279510.55 148530.94 160196.30 148823.782 89794.73 73429.32 126410.377
31 298805.66 165011.56 176152.02 161961.172 102678.42 87102.03 137571.593
32 210635.39 79118.73 92347.94 93988.001 50806.11 40622.69 84371.144
33 285697.49 151588.30 162909.76 149892.575 90627.96 74646.77 126450.865
34 291876.09 155443.79 166466.70 152068.699 92785.21 77231.36 127768.550
35 299289.38 168058.56 179398.25 165973.691 106677.22 90892.69 141939.194
36 293288.30 163463.79 174996.99 162555.337 103309.79 87255.62 139158.380
37 88339.93 232535.51 230011.00 266957.768 300301.55 306626.63 294028.862
38 288971.37 149923.34 160757.22 145773.871 86519.44 71141.44 121284.532
22 23 24 25 26 27 28
1 129464.68 122565.678 82049.05 104088.40 64988.146 95626.11 39591.613
2 87021.00 81712.760 40072.54 75420.39 47967.100 72616.89 13487.380
3 100586.16 92929.846 65119.55 99442.47 36139.919 66225.85 13123.962
4 73993.14 70973.312 20165.81 61493.97 58919.989 77106.29 32163.645
5 16737.75 9771.136 61903.07 105563.59 65531.242 54914.79 73954.779
6 45133.06 56706.980 89662.72 114562.88 125163.840 114013.37 125654.244
7 252676.37 260037.916 313570.79 334454.66 328822.348 304338.34 342561.064
8 51340.67 40486.797 97516.53 143855.86 58327.703 30062.80 86215.265
9 266078.16 271117.602 333242.66 361142.22 333970.893 306316.00 353793.279
10 56670.45 66224.596 116441.50 144811.26 138076.068 120580.35 145674.803
11 76946.02 66886.032 72569.81 116650.25 5363.517 29402.88 35698.262
12 106583.53 99211.365 67179.22 98674.12 42758.137 73020.79 17300.765
13 42073.71 35838.321 105598.72 149493.88 83444.437 57134.21 106492.598
14 54159.47 62621.923 117975.77 148833.60 134088.070 115010.67 143987.739
15 235971.40 244273.216 196113.22 154587.60 272873.555 284665.43 243379.015
16 92039.55 93410.924 23255.92 24451.41 96021.624 112901.36 65836.576
17 79106.51 81310.075 15967.78 32894.38 92805.584 106253.17 66830.720
18 66572.57 63124.145 22461.80 67169.84 54423.705 70354.63 32743.464
19 124243.65 118715.554 69206.37 86819.72 70711.650 100434.15 37671.774
20 140844.55 135450.119 83290.14 94163.78 85621.731 115840.14 54191.981
21 88320.03 81735.550 49516.42 86279.41 38442.797 65125.64 2804.965
22 0.00 11611.032 70885.35 110875.71 82055.886 68880.46 89892.320
23 11611.03 0.000 71096.42 113868.59 71856.469 57329.68 83041.881
24 70885.35 71096.416 0.00 46758.06 76855.169 90804.46 52316.819
25 110875.71 113868.592 46758.06 0.00 120308.849 137216.25 88883.167
26 82055.89 71856.469 76855.17 120308.85 0.000 30659.78 36920.389
27 68880.46 57329.679 90804.46 137216.25 30659.781 0.00 64347.915
28 89892.32 83041.881 52316.82 88883.17 36920.389 64347.91 0.000
29 42286.25 32055.094 94449.62 140114.71 64293.125 38283.67 88911.708
30 213978.10 208063.728 155260.27 154798.13 150244.874 180748.55 125314.097
31 225822.45 219208.917 170165.58 172569.77 157671.200 187673.90 136172.099
32 159928.70 157110.649 91975.29 81211.21 120576.556 149275.67 84951.025
33 214441.10 208186.415 157322.07 158827.59 148666.215 179008.03 125207.274
34 215992.16 209437.101 160340.56 163452.38 148427.977 178562.63 126395.373
35 230124.23 223628.572 173741.23 175017.32 162531.897 192593.14 140587.434
36 227158.08 220893.575 169716.86 169914.22 160957.837 191204.04 137903.073
37 262942.79 273435.341 245060.69 213484.96 319654.654 323823.90 296825.544
38 209534.44 202931.510 154358.16 158511.92 141882.734 172040.33 119892.039
29 30 31 32 33 34 35
1 125867.53 86645.637 96671.486 63824.64 86039.811 86939.486 101156.735
2 92398.89 126995.384 139401.206 78820.67 127655.535 129522.857 143546.224
3 95177.16 117348.309 126924.075 84930.73 116630.504 117286.379 131516.533
4 88225.50 142642.536 156283.028 86176.46 143975.366 146392.920 160177.665
5 36581.88 198717.500 210102.611 147340.27 198948.002 200306.290 214478.776
6 84565.84 243877.695 257734.442 181210.11 245389.834 247843.706 261622.581
7 266155.68 465939.355 478394.672 405238.54 466771.532 468540.794 482622.925
8 10234.91 207978.852 215940.461 169912.69 206688.987 206636.509 220773.682
9 269682.87 479076.128 489510.368 424900.81 478952.989 479854.855 494083.498
10 85113.44 267880.054 280683.340 208414.14 268846.574 270805.018 284814.747
11 60816.43 152574.693 160535.864 120270.30 151221.766 151192.391 165345.568
12 102067.60 110511.694 120313.583 79012.95 109879.767 110639.297 124867.682
13 19212.17 230864.358 239923.310 186997.55 230057.485 230434.084 244643.164
14 78577.15 267376.149 279675.270 209743.01 268088.583 269821.243 283907.510
15 275843.62 279510.548 298805.662 210635.39 285697.489 291876.094 299289.377
16 117672.33 148530.940 165011.556 79118.73 151588.302 155443.794 168058.559
17 107233.89 160196.301 176152.017 92347.94 162909.760 166466.697 179398.249
18 80176.73 148823.782 161961.172 93988.00 149892.575 152068.699 165973.691
19 126575.37 89794.731 102678.424 50806.11 90627.965 92785.214 106677.219
20 143078.64 73429.320 87102.028 40622.69 74646.767 77231.363 90892.694
21 88590.02 126410.377 137571.593 84371.14 126450.865 127768.550 141939.194
22 42286.25 213978.095 225822.449 159928.70 214441.101 215992.161 230124.233
23 32055.09 208063.728 219208.917 157110.65 208186.415 209437.101 223628.572
24 94449.62 155260.269 170165.581 91975.29 157322.068 160340.563 173741.228
25 140114.71 154798.131 172569.775 81211.21 158827.593 163452.377 175017.325
26 64293.13 150244.874 157671.200 120576.56 148666.215 148427.977 162531.897
27 38283.67 180748.548 187673.895 149275.67 179008.034 178562.634 192593.144
28 88911.71 125314.097 136172.099 84951.02 125207.274 126395.373 140587.434
29 0.00 212461.972 221155.480 171131.85 211484.709 211720.371 225912.264
30 212461.97 0.000 19298.264 74421.67 7272.559 13962.683 20482.003
31 221155.48 19298.264 0.000 92958.96 13796.939 9893.231 5163.246
32 171131.85 74421.666 92958.956 0.00 79175.804 84484.963 94872.455
33 211484.71 7272.559 13796.939 79175.80 0.000 6722.869 16488.556
34 211720.37 13962.683 9893.231 84484.96 6722.869 0.000 14230.155
35 225912.26 20482.003 5163.246 94872.46 16488.556 14230.155 0.000
36 223979.16 15116.505 8205.354 89474.72 12717.153 13073.760 6081.460
37 305213.86 356145.884 375310.926 283503.61 361740.319 367489.455 376457.420
38 205153.83 15450.834 16288.487 80393.61 9075.087 6567.491 20789.819
36 37 38
1 98681.804 317519.90 80411.091
2 140361.429 283753.03 123151.540
3 129230.470 309052.62 110730.831
4 156587.699 265063.47 140177.682
5 211661.360 271549.34 193817.305
6 257973.362 225471.35 241615.519
7 479474.872 323032.16 462113.510
8 219073.272 313913.38 200080.907
9 491625.918 378266.54 473305.499
10 281532.670 243225.87 264430.078
11 163605.908 314746.41 144633.416
12 122501.808 309722.44 104091.844
13 242599.512 301687.16 223866.622
14 280797.672 252627.41 263394.726
15 293288.304 88339.93 288971.367
16 163463.792 232535.51 149923.336
17 174996.988 230011.00 160757.216
18 162555.337 266957.77 145773.871
19 103309.791 300301.55 86519.441
20 87255.622 306626.63 71141.445
21 139158.380 294028.86 121284.532
22 227158.075 262942.79 209534.444
23 220893.575 273435.34 202931.510
24 169716.862 245060.69 154358.162
25 169914.225 213484.96 158511.919
26 160957.837 319654.65 141882.734
27 191204.039 323823.90 172040.333
28 137903.073 296825.54 119892.039
29 223979.160 305213.86 205153.829
30 15116.505 356145.88 15450.834
31 8205.354 375310.93 16288.487
32 89474.716 283503.61 80393.611
33 12717.153 361740.32 9075.087
34 13073.760 367489.46 6567.491
35 6081.460 376457.42 20789.819
36 0.000 370632.76 19323.133
37 370632.764 0.00 363778.673
38 19323.133 363778.67 0.000Model MDS 3 Dimensi
Disparatis
> disparaties3d
1 2 3 4 5 6 7
1 0.00 44896.54 30740.63 66284.10 113870.46 165523.45 382779.00
2 44896.54 0.00 25336.16 26668.24 72789.43 121566.82 339901.68
3 30740.63 25336.16 0.00 48391.15 84859.68 139988.31 353722.16
4 66284.10 26668.24 48391.15 0.00 61672.43 101676.56 323631.81
5 113870.46 72789.43 84859.68 61672.43 0.00 61929.04 269065.74
6 165523.45 121566.82 139988.31 101676.56 61929.04 0.00 224032.98
7 382779.00 339901.68 353722.16 323631.81 269065.74 224032.98 0.00
8 124388.85 94437.22 94384.77 98620.82 55394.92 106279.06 278620.58
9 394611.88 354465.91 364227.31 343828.45 284138.88 253768.34 86018.07
10 185119.41 141369.02 156933.53 127418.04 74832.85 42188.88 200085.88
11 72558.22 53441.75 45806.40 71126.03 70994.39 130531.25 328454.50
12 41101.06 42321.38 32739.50 68716.07 99731.19 153685.70 363389.59
13 149117.39 114887.18 119224.50 115725.07 64078.11 98257.09 254387.50
14 183843.23 140786.78 155024.66 128472.19 73248.04 49895.20 201434.00
15 255467.59 229953.98 254054.40 215465.34 239895.73 212168.41 367231.75
16 86930.03 53542.05 78069.55 37617.08 84517.49 104656.30 327525.48
17 93840.61 55740.49 80582.26 35321.50 72935.28 90441.69 313633.25
18 68672.69 24878.52 46735.82 11899.51 53366.25 97262.22 317480.28
19 18470.94 37398.55 34754.34 57605.96 110035.18 157537.63 377148.56
20 23887.69 53936.50 49682.62 72238.08 126584.75 172872.05 393387.00
21 41244.69 10953.02 15851.44 34783.30 73384.04 126109.42 341872.09
22 131350.70 89564.83 102697.85 83369.40 35117.47 63845.93 256526.82
23 122789.82 81965.47 93120.51 74809.64 18840.86 64339.59 261707.73
24 83550.37 42712.44 66672.83 37824.63 66560.67 97676.88 315849.08
25 105345.32 76944.80 100532.60 69534.27 108464.63 121085.32 336643.34
26 74180.74 59251.29 49830.83 78585.21 79190.35 138265.17 333875.51
27 102531.72 81054.02 75155.73 93692.45 71433.64 128824.16 310022.16
28 56279.97 41280.34 40712.61 64780.94 88545.27 140553.76 348144.31
29 138792.30 108830.33 110953.67 115614.63 76494.07 117422.93 278088.31
30 88243.85 127966.37 118336.18 146399.12 200335.73 247087.63 467553.64
31 97626.90 139973.12 127505.71 159109.63 211284.64 260320.85 479726.76
32 67541.07 81598.88 87401.70 94315.76 150522.77 186732.15 407641.47
33 87454.53 128497.11 117492.59 147466.95 200433.82 248414.43 468296.95
34 88701.07 130582.98 118390.33 150249.39 202023.30 251142.21 470218.89
35 102337.37 144278.28 132263.84 163290.77 215838.97 264437.29 484085.42
36 100130.32 141268.79 130157.90 160069.22 213211.48 261048.37 481064.10
37 324680.90 291516.80 316095.63 278069.47 282121.38 243065.73 335312.52
38 81742.10 123911.96 111518.52 143548.19 195222.88 244534.58 463575.79
8 9 10 11 12 13 14
1 124388.85 394611.88 185119.41 72558.217 41101.06 149117.39 183843.23
2 94437.22 354465.91 141369.02 53441.754 42321.38 114887.18 140786.78
3 94384.77 364227.31 156933.53 45806.397 32739.50 119224.50 155024.66
4 98620.82 343828.45 127418.04 71126.027 68716.07 115725.07 128472.19
5 55394.92 284138.88 74832.85 70994.390 99731.19 64078.11 73248.04
6 106279.06 253768.34 42188.88 130531.254 153685.70 98257.09 49895.20
7 278620.58 86018.07 200085.88 328454.499 363389.59 254387.50 201434.00
8 0.00 276597.26 97344.79 55546.916 98444.09 29975.37 89914.33
9 276597.26 0.00 219494.07 330424.333 369224.55 250538.82 216731.13
10 97344.79 219494.07 0.00 135035.683 164969.28 78339.10 10653.61
11 55546.92 330424.33 135035.68 0.000 43943.31 80383.47 130482.21
12 98444.09 369224.55 164969.28 43943.307 0.00 120440.07 162320.12
13 29975.37 250538.82 78339.10 80383.466 120440.07 0.00 69384.06
14 89914.33 216731.13 10653.61 130482.212 162320.12 69384.06 0.00
15 283362.26 414511.49 236037.30 269612.874 254449.39 279696.90 244535.36
16 125973.46 353159.36 133678.12 100108.834 88757.35 137107.05 137036.83
17 117746.72 339687.77 120214.04 97917.056 93069.98 127447.12 123792.23
18 87897.12 335434.58 119815.89 61907.675 64145.99 104564.64 120216.68
19 125576.29 391086.66 178228.10 75021.491 40452.69 147814.85 177698.35
20 141694.64 407797.55 194459.90 89890.550 51988.94 164183.44 194128.10
21 89309.78 354261.62 143937.13 45272.395 36704.82 111732.02 142601.12
22 51463.28 266436.57 58952.36 77219.308 107178.65 44917.25 55330.32
23 44435.98 272619.63 66241.14 70181.684 102572.29 47053.91 62716.37
24 98024.00 333855.91 116855.86 73707.813 69469.34 107894.50 118077.95
25 144169.49 361682.91 145176.33 117312.228 100167.66 151058.02 148930.38
26 59185.24 333970.97 141261.98 8896.466 42820.48 83471.85 136382.47
27 32103.30 306317.62 124515.51 30557.934 73106.26 57141.53 117942.85
28 87388.26 353815.95 149604.40 37452.947 18496.15 106513.16 146907.36
29 34319.03 270619.22 100029.41 67732.373 105091.54 28153.82 91885.72
30 208173.95 479463.74 268096.99 153042.044 111772.24 231834.60 267440.40
31 216279.44 490021.20 280788.64 161239.307 121937.30 241148.92 279688.97
32 169951.54 425128.05 209039.70 120449.850 79825.73 187664.79 210043.91
33 206933.78 479384.15 269022.63 151779.779 111310.75 231129.96 268131.73
34 206796.74 480207.65 271055.68 151597.829 111771.38 231327.98 269905.25
35 221010.52 494508.34 284975.29 165869.217 126152.35 245667.11 283945.48
36 219248.31 491993.85 281748.83 164023.705 123606.38 243501.26 280864.22
37 316721.94 379602.59 250973.73 317171.271 311622.17 303166.00 258968.78
38 200385.15 473784.66 264574.99 145307.361 105770.04 225067.16 263422.64
15 16 17 18 19 20 21
1 255467.6 86930.03 93840.61 68672.69 18470.94 23887.69 41244.69
2 229954.0 53542.05 55740.49 24878.52 37398.55 53936.50 10953.02
3 254054.4 78069.55 80582.26 46735.82 34754.34 49682.62 15851.44
4 215465.3 37617.08 35321.50 11899.51 57605.96 72238.08 34783.30
5 239895.7 84517.49 72935.28 53366.25 110035.18 126584.75 73384.04
6 212168.4 104656.30 90441.69 97262.22 157537.63 172872.05 126109.42
7 367231.7 327525.48 313633.25 317480.28 377148.56 393387.00 341872.09
8 283362.3 125973.46 117746.72 87897.12 125576.29 141694.64 89309.78
9 414511.5 353159.36 339687.77 335434.58 391086.66 407797.55 354261.62
10 236037.3 133678.12 120214.04 119815.89 178228.10 194459.90 143937.13
11 269612.9 100108.83 97917.06 61907.68 75021.49 89890.55 45272.40
12 254449.4 88757.35 93069.98 64145.99 40452.69 51988.94 36704.82
13 279696.9 137107.05 127447.12 104564.64 147814.85 164183.44 111732.02
14 244535.4 137036.83 123792.23 120216.68 177698.35 194128.10 142601.12
15 0.0 178519.63 181184.50 218901.06 237528.00 240246.54 240765.66
16 178519.6 0.00 14335.19 42813.88 71894.06 82259.48 64373.15
17 181184.5 14335.19 0.00 38798.71 80285.16 92243.59 65893.50
18 218901.1 42813.88 38798.71 0.00 60521.35 76277.27 31690.18
19 237528.0 71894.06 80285.16 60521.35 0.00 16775.11 38133.37
20 240246.5 82259.48 92243.59 76277.27 16775.11 0.00 54758.77
21 240765.7 64373.15 65893.50 31690.18 38133.37 54758.77 0.00
22 236510.3 97552.38 86637.13 72895.24 125481.54 142006.74 90506.01
23 244276.1 95048.30 83870.72 64866.26 118749.02 135491.98 81888.86
24 196345.4 34822.24 33033.61 32352.43 70102.15 84110.62 51287.14
25 154910.9 35965.60 44101.41 71242.04 87594.95 94947.82 87378.80
26 274468.5 106436.03 104908.74 69537.39 77277.19 91308.33 50899.44
27 286323.6 122348.38 117490.34 83251.22 105529.47 120433.53 73738.98
28 245711.8 82761.42 85388.66 57705.05 51696.25 65032.75 37696.34
29 280751.3 136227.05 128960.99 103849.36 137569.73 153085.06 104847.75
30 279707.6 150941.67 162957.07 150784.13 90609.24 74514.48 127217.90
31 298897.4 166715.56 178175.31 163335.15 103074.56 87626.92 138028.16
32 211232.7 85437.58 98845.40 98542.44 53735.18 44451.25 86637.82
33 285853.6 153771.08 165438.85 151674.79 91301.55 75545.57 127144.13
34 292097.4 157899.67 169281.20 154127.28 93690.55 78409.60 128667.44
35 299433.2 170004.80 181671.62 167562.01 107232.98 91611.30 142541.76
36 293485.2 165698.33 177570.23 164389.25 104048.13 88207.27 139918.28
37 107692.2 245257.63 243844.96 277382.76 306883.55 313186.92 301215.97
38 289095.5 151967.46 163150.32 147455.73 87106.31 71933.15 121904.99
22 23 24 25 26 27 28
1 131350.70 122789.82 83550.37 105345.32 74180.740 102531.72 56279.97
2 89564.83 81965.47 42712.44 76944.80 59251.287 81054.02 41280.34
3 102697.85 93120.51 66672.83 100532.60 49830.830 75155.73 40712.61
4 83369.40 74809.64 37824.63 69534.27 78585.205 93692.45 64780.94
5 35117.47 18840.86 66560.67 108464.63 79190.345 71433.64 88545.27
6 63845.93 64339.59 97676.88 121085.32 138265.166 128824.16 140553.76
7 256526.82 261707.73 315849.08 336643.34 333875.515 310022.16 348144.31
8 51463.28 44435.98 98024.00 144169.49 59185.236 32103.30 87388.26
9 266436.57 272619.63 333855.91 361682.91 333970.970 306317.62 353815.95
10 58952.36 66241.14 116855.86 145176.33 141261.978 124515.51 149604.40
11 77219.31 70181.68 73707.81 117312.23 8896.466 30557.93 37452.95
12 107178.65 102572.29 69469.34 100167.66 42820.483 73106.26 18496.15
13 44917.25 47053.91 107894.50 151058.02 83471.847 57141.53 106513.16
14 55330.32 62716.37 118077.95 148930.38 136382.466 117942.85 146907.36
15 236510.32 244276.13 196345.41 154910.90 274468.470 286323.61 245711.76
16 97552.38 95048.30 34822.24 35965.60 106436.028 122348.38 82761.42
17 86637.13 83870.72 33033.61 44101.41 104908.742 117490.34 85388.66
18 72895.24 64866.26 32352.43 71242.04 69537.391 83251.22 57705.05
19 125481.54 118749.02 70102.15 87594.95 77277.188 105529.47 51696.25
20 142006.74 135491.98 84110.62 94947.82 91308.332 120433.53 65032.75
21 90506.01 81888.86 51287.14 87378.80 50899.436 73738.98 37696.34
22 0.00 18781.94 71174.69 111035.47 83173.454 70455.27 91641.67
23 18781.94 0.00 71585.28 114208.81 77247.486 64509.18 89205.55
24 71174.69 71585.28 0.00 46760.29 79414.839 93251.91 57656.05
25 111035.47 114208.81 46760.29 0.00 121885.784 138778.88 92007.86
26 83173.45 77247.49 79414.84 121885.78 0.000 30684.21 37162.10
27 70455.27 64509.18 93251.91 138778.88 30684.215 0.00 64418.15
28 91641.67 89205.55 57656.05 92007.86 37162.100 64418.15 0.00
29 55734.81 60297.04 103661.13 146349.53 68189.084 43905.07 90813.37
30 214047.75 208271.59 155263.18 154798.92 151447.642 181881.95 127458.28
31 225984.40 219296.83 170179.07 172589.36 159218.441 189123.01 138702.75
32 159928.72 157794.96 92192.71 81423.13 121349.216 150017.09 86817.16
33 214539.96 208349.85 157322.10 158828.57 150018.964 180273.79 127549.73
34 216040.90 209684.07 160350.92 163458.08 149536.929 179613.62 128366.54
35 230221.13 223774.65 173741.43 175018.82 163790.692 193788.59 142706.11
36 227217.79 221100.10 169721.12 169915.86 162051.762 192249.47 139812.73
37 266873.61 280026.57 250526.68 219629.99 321257.062 325287.49 298125.97
38 209668.19 203061.88 154361.92 158519.34 143439.646 173479.69 122534.10
29 30 31 32 33 34 35
1 138792.30 88243.853 97626.899 67541.07 87454.534 88701.068 102337.372
2 108830.33 127966.370 139973.125 81598.88 128497.106 130582.975 144278.285
3 110953.67 118336.182 127505.705 87401.70 117492.585 118390.335 132263.845
4 115614.63 146399.122 159109.633 94315.76 147466.951 150249.391 163290.770
5 76494.07 200335.730 211284.645 150522.77 200433.817 202023.299 215838.971
6 117422.93 247087.632 260320.851 186732.15 248414.434 251142.213 264437.294
7 278088.31 467553.640 479726.756 407641.47 468296.945 470218.893 484085.420
8 34319.03 208173.949 216279.443 169951.54 206933.780 206796.745 221010.525
9 270619.22 479463.738 490021.202 425128.05 479384.148 480207.653 494508.343
10 100029.41 268096.987 280788.639 209039.70 269022.627 271055.676 284975.294
11 67732.37 153042.044 161239.307 120449.85 151779.779 151597.829 165869.217
12 105091.54 111772.243 121937.297 79825.73 111310.753 111771.384 126152.351
13 28153.82 231834.605 241148.919 187664.79 231129.960 231327.981 245667.111
14 91885.72 267440.404 279688.971 210043.91 268131.735 269905.248 283945.484
15 280751.33 279707.583 298897.357 211232.69 285853.571 292097.401 299433.166
16 136227.05 150941.673 166715.564 85437.58 153771.075 157899.667 170004.802
17 128960.99 162957.073 178175.311 98845.40 165438.852 169281.201 181671.624
18 103849.36 150784.129 163335.154 98542.44 151674.793 154127.277 167562.007
19 137569.73 90609.236 103074.561 53735.18 91301.552 93690.553 107232.984
20 153085.06 74514.476 87626.921 44451.25 75545.571 78409.600 91611.303
21 104847.75 127217.896 138028.161 86637.82 127144.134 128667.444 142541.759
22 55734.81 214047.751 225984.403 159928.72 214539.958 216040.903 230221.130
23 60297.04 208271.590 219296.831 157794.96 208349.850 209684.073 223774.648
24 103661.13 155263.182 170179.072 92192.71 157322.100 160350.918 173741.434
25 146349.53 154798.919 172589.358 81423.13 158828.573 163458.078 175018.825
26 68189.08 151447.642 159218.441 121349.22 150018.964 149536.929 163790.692
27 43905.07 181881.954 189123.009 150017.09 180273.790 179613.617 193788.590
28 90813.37 127458.276 138702.746 86817.16 127549.726 128366.538 142706.115
29 0.00 216528.623 225659.731 174958.31 215776.066 215634.046 229965.603
30 216528.62 0.000 19544.679 74615.65 7348.232 13989.845 20518.216
31 225659.73 19544.679 0.000 93344.10 13947.222 10658.245 5493.252
32 174958.31 74615.655 93344.098 0.00 79436.373 84605.021 95101.433
33 215776.07 7348.232 13947.222 79436.37 0.000 6992.541 16489.398
34 215634.05 13989.845 10658.245 84605.02 6992.541 0.000 14382.792
35 229965.60 20518.216 5493.252 95101.43 16489.398 14382.792 0.000
36 227794.37 15118.597 8861.076 89621.40 12783.766 13088.446 6256.597
37 305356.37 359792.556 379202.867 287166.37 365479.751 370905.659 380074.975
38 209776.38 15583.297 16323.348 80733.88 9127.385 7178.813 20805.555
36 37 38
1 100130.324 324680.9 81742.099
2 141268.794 291516.8 123911.961
3 130157.900 316095.6 111518.517
4 160069.217 278069.5 143548.188
5 213211.482 282121.4 195222.878
6 261048.375 243065.7 244534.575
7 481064.096 335312.5 463575.794
8 219248.306 316721.9 200385.150
9 491993.853 379602.6 473784.665
10 281748.829 250973.7 264574.985
11 164023.705 317171.3 145307.361
12 123606.378 311622.2 105770.038
13 243501.256 303166.0 225067.159
14 280864.217 258968.8 263422.638
15 293485.192 107692.2 289095.454
16 165698.333 245257.6 151967.465
17 177570.226 243845.0 163150.317
18 164389.252 277382.8 147455.734
19 104048.129 306883.5 87106.312
20 88207.266 313186.9 71933.153
21 139918.282 301216.0 121904.986
22 227217.787 266873.6 209668.191
23 221100.100 280026.6 203061.878
24 169721.122 250526.7 154361.916
25 169915.860 219630.0 158519.338
26 162051.762 321257.1 143439.646
27 192249.469 325287.5 173479.694
28 139812.733 298126.0 122534.099
29 227794.368 305356.4 209776.383
30 15118.597 359792.6 15583.297
31 8861.076 379202.9 16323.348
32 89621.399 287166.4 80733.877
33 12783.766 365479.8 9127.385
34 13088.446 370905.7 7178.813
35 6256.597 380075.0 20805.555
36 0.000 374104.0 19457.065
37 374103.998 0.0 367637.080
38 19457.065 367637.1 0.000Nilai Stress
Nilai STRESS yang diperoleh sebesar 0,000000052399 yang menunjukkan bahwa model penskalaan yang diperoleh termasuk kriteria sempurna.
#Kesimpulan Berdasarkan hasil analisis statistika deskriptif dan output yang diperoleh, terdapat disparitas signifikan antar kabupaten/kota di provinsi Jawa Timur dalam angkatan kerja laki-laki tahun 2020. Daerah Malang, Sidoarjo, dan Surabaya memiliki angkatan kerja laki-laki yang tinggi dibandingkan dengan daerah yang lain.
Hasil multidimensional scaling (MDS) mengungkapkan kemiripan dan perbedaan karakteristik angkatan kerja laki-laki tahun 2020 yang digambarkan dalam plot dua dan tiga dimensi. Daearah Malang, Sidoarjo, dan Suarabaya menunjukkan perbedaan angkatan kerja signifikan, sedangkan kelompok kabupaten/kota tertentu seperti daerah Kediri, Blitar, Probolinggo, Pasuruan, Mojokerto, Madiun, Batu memiliki kemiripan karakteristik yang hampir sama. Pembagian kuadran membantu mengidentifikasi klaster kabupaten/kota di provinsi Jawa Timur dengan karakteristik yang mirip dalam pembangunan literasi.
Peta geometri dua dan tiga dimensi yang terbentuk memiliki tingkat kelayakan model yang sangat tinggi. Hal ini ditunjukkan oleh nilai STRESS yang termasuk dalam kategori sempurna. Dengan demikian, hasil analisis MDS dapat diandalkan untuk menggambarkan kemiripan antar kabupaten/kota dalam pemetaan angkatan kerja laki-laki provinsi Jawa Timur pada tahun 2020.
DAFTAR PUSTAKA
Badan Pusat Statistik. (2020). “Angkatan Kerja Menurut Kabupaten/Kota, Pendidikan dan Jenis Kegiatan di Provinsi Jawa Timur, Agustus 2020”. Diakses dari https://jatim.bps.go.id/id/statistics-table/1/MjEwOSMx/angkatan-kerja-menurut-kabupaten-kota-pendidikan-dan-jenis-kegiatan-di-provinsi-jawa-timur-agustus-2020.html