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STATISTIKA MULTIVARIAT TUGAS I KELOMPOK Kelompok 7 1. Bram Styawan 2. Meldi Rendra 3. Wahyudi Zulfikar Dosen Pengajar : Budi Hartono Magister Teknik Sistem Universitas Gadjah Mada

Tugas 1 statistika multivariat31102011

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Page 1: Tugas 1 statistika multivariat31102011

STATISTIKA MULTIVARIAT

TUGAS I KELOMPOKKelompok 71. Bram Styawan2. Meldi Rendra3. Wahyudi Zulfikar

Dosen Pengajar : Budi HartonoMagister Teknik Sistem

Universitas Gadjah Mada

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AVERAGE RETAIL PRICE OF ELECTRICITY TO ULTIMATE CUSTOMERS BY END-USE SECTOR,BY

STATE

Data?

ClickMe!

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GRAPH

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SULIT?

Kami juga sama...

Solusi!!!

EXAMINASI DATA...

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INFORMASI

Deskripsi Statistik

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Missing Data

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Estimasi terhadap missing data

Industrial Transportation All Sectors Transportation_18,37 8,24 5,69 5,49 11,79 10,64 5,69 5,49

9,5 7,9 8,76 7,27 12,02 10,29 8,76 7,273,39 6,57 -- -- 9,41 9,71 7,4 7,068,68 8,5 4,44 4,66 12,12 10,8 4,44 4,66

11,42 10,03 -- -- 12,46 11,41 7,4 7,069,87 9,39 -- -- 11,75 11 7,4 7,068,06 7,98 -- -- 11,07 11,06 7,4 7,066,77 6,63 8,17 8,03 10,83 10,32 8,17 8,039,55 9,04 8,73 10,96 11,17 10,32 8,73 10,967,62 7,05 8,29 7,93 13,16 12,59 8,29 7,93

5,9 5,88 7,34 7,33 8,27 8,03 7,34 7,334,9 4,68 6,12 6,16 6,97 6,66 6,12 6,16

4,55 4,66 5,69 5,71 7,04 6,82 5,69 5,714,41 4,14 9,14 8,77 5,86 5,59 9,14 8,775,58 4,93 11,01 7,9 7,49 6,96 11,01 7,95,02 4,9 9,25 9,22 7,07 6,91 9,25 9,22

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1. Examinasi dengan Grafik Boxplot

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Grafik Boxplot

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Residential2005 Stem-and-Leaf Plot

Frequency Stem & Leaf

5,00 6 . 23459 11,00 7 . 01224456889 19,00 8 . 0011223445677777899 10,00 9 . 0001446699 3,00 10 . 018 2,00 11 . 89 2,00 12 . 57 5,00 13 . 01333 5,00 Extremes (>=13,5)

Stem width: 1,00 Each leaf: 1 case(s)

Residential2004 Stem-and-Leaf Plot

Frequency Stem & Leaf

7,00 6 . 1124899 16,00 7 . 0122233666778889 16,00 8 . 0001223334444478 8,00 9 . 00001677 1,00 10 . 3 5,00 11 . 26889 5,00 12 . 22455 4,00 Extremes (>=13,0)

Stem width: 1,00 Each leaf: 1 case(s)

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Commercial2005 Stem-and-Leaf Plot

Frequency Stem & Leaf

5,00 0 . 55555 30,00 0 . 666666666666667777777777777777 11,00 0 . 88888888899 11,00 1 . 00011111111 3,00 1 . 223 1,00 1 . 5 1,00 Extremes (>=19)

Stem width: 10,00 Each leaf: 1 case(s)

Commercial2004 Stem-and-Leaf Plot

Frequency Stem & Leaf

9,00 5 . 346688899 16,00 6 . 0122334457799999 18,00 7 . 001234444455566679 3,00 8 . 015 3,00 9 . 199 4,00 10 . 0156 6,00 11 . 000045 ,00 12 . 1,00 13 . 0 2,00 Extremes (>=14,1)

Stem width: 1,00 Each leaf: 1 case(s)

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Industry2005 Stem-and-Leaf Plot

Frequency Stem & Leaf

7,00 3 . 3468999 19,00 4 . 1334445555566777899 17,00 5 . 00011122333556679 5,00 6 . 55667 3,00 7 . 046 4,00 8 . 0366 4,00 9 . 1558 3,00 Extremes (>=11,4)

Stem width: 1,00 Each leaf: 1 case(s)

Industry2004 Stem-and-Leaf Plot

Frequency Stem & Leaf

4,00 3 . 3889 30,00 4 . 001111112223444566666777788999 10,00 5 . 0122358888 4,00 6 . 0056 5,00 7 . 02599 3,00 8 . 235 3,00 9 . 035 3,00 Extremes (>=10,0)

Stem width: 1,00 Each leaf: 1 case(s)

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SMEAN(Transportation2005) Stem-and-Leaf Plot

Frequency Stem & Leaf

6,00 Extremes (=<5,7) 2,00 5 . 89 7,00 6 . 0123344 2,00 6 . 78 31,00 7 . 2333333333333333333333333333344 1,00 7 . 9 4,00 8 . 0122 9,00 Extremes (>=8,5)

Stem width: 1,00 Each leaf: 1 case(s)

SMEAN(Transportation2004) Stem-and-Leaf Plot

Frequency Stem & Leaf

4,00 Extremes (=<5,5) 6,00 5 . 777888 5,00 6 . 12244 4,00 6 . 5557 35,00 7 . 00000000000000000000000000000112334 8,00 Extremes (>=7,9)

Stem width: 1,00 Each leaf: 1 case(s)

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Allsector2005 Stem-and-Leaf Plot

Frequency Stem & Leaf

1,00 4 . 9 7,00 5 . 1117889 17,00 6 . 01122345666677799 14,00 7 . 00224445555588 6,00 8 . 002478 4,00 9 . 0044 1,00 10 . 8 6,00 11 . 013577 3,00 12 . 014 3,00 Extremes (>=13,2)

Stem width: 1,00 Each leaf: 1 case(s)

Allsector2004 Stem-and-Leaf Plot

Frequency Stem & Leaf

3,00 4 . 699 8,00 5 . 15677788 22,00 6 . 0011222344445668899999 11,00 7 . 00111445569 3,00 8 . 015 2,00 9 . 67 5,00 10 . 23368 5,00 11 . 00044 3,00 Extremes (>=12,6)

Stem width: 1,00 Each leaf: 1 case(s)

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HISTROGRAM DAN NORMALITAS

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Interpretasi DataUji Normalitas Kolmogorov-Smirnov

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Penjelasan

1.Uji tes KS (Kolmogorov-Smirnov) Test dan Histogram a. Semua variabel menunjukkan nilai signifikansi probabilitas

dibawah α = 0,05, hal ini berarti hipotesis nol ditolak atau tidak terdistribusi secara normal,

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Hubungan antar variabel

Hubungan korelasi rendah :Transportation(1)(2) Vs Residential(1)(2)Transportation(1)(2) Vs AllSector(1)(2)Transportation(1)(2) Vs Commercial(1)(2)Transportation(1)(2) Vs Industry(1)(2)

Ket:(1)= 2005(2)= 2004

Hubungan korelasi tinggi :Residential (1)(2) Vs AllSector(1)(2)Residential (1)(2) Vs Commercial(1)(2)Industrial (1)(2) Vs Commercial(1)(2)Transportation(1)(2) Vs Industry(1)(2)

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Analisis Faktor

Hasil KMO and Bertlett test (nilainya di atas 0,5), maka dapat dilakukan analisa faktor

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Dari 10 variabel yang dianalisa ternyata hasil ekstrasi komputer menjadi 2 faktor (nilai eigen > 1 menjadi faktor),Dimana faktor 1 mampu menjelaskan 76,431% variasi, sedangkan

faktor 2 mampu menjelaskan 18,748% variasi, ataukedua faktor keseluruhan mampu menjelaskan 95,178% variasi

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Yang mengelompok pada faktor 1 : Residential (1) (2), Commercial (1) (2), Industrial(1) (2) dan AllSector (1) (2)

Yang mengelompok pada faktor 2 : Transportation (1) (2)

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Terima Kasih