METODE ROBUST KRIGING UNTUK MENGESTIMASI DATA SPASIAL BERPENCILAN (Studi Kasus: Pencemaran Udara Gas NO2 di Kota Semarang) - Diponegoro University | Institutional Repository (UNDIP-IR) Anjan Setyo W

METODE

ROBUST KRIGING

_{UNTUK MENGESTIMASI}

DATA SPASIAL BERPENCILAN

(Studi Kasus: Pencemaran Udara Gas NO2

di Kota Semarang)

SKRIPSI

Disusun Oleh :

ANJAN SETYO WAHYUDI

24010212130055

DEPARTEMEN STATISTIKA

FAKULTAS SAINS DAN MATEMATIKA

UNIVERSITAS DIPONEGORO

i

METODE

ROBUST KRIGING

_{UNTUK MENGESTIMASI}

DATA SPASIAL BERPENCILAN

(Studi Kasus: Pencemaran Udara Gas NO2

di Kota Semarang)

Disusun Oleh :

ANJAN SETYO WAHYUDI

24010212130055

Tugas Akhir sebagai salah satu syarat untuk memperoleh

gelar Sarjana Sains pada Departemen Statistika

DEPARTEMEN STATISTIKA

FAKULTAS SAINS DAN MATEMATIKA

UNIVERSITAS DIPONEGORO

iv

KATA PENGANTAR

Puji syukur penulis ucapkan kehadirat Allah SWT yang telah memberikan

rahmat dan karunia-Nya sehingga penulis dapat menyelesaikan penulisan Tugas

Akhir dengan judul Metode

Robust Kriging

Untuk Mengestimasi Data Spasial

Berpencilan .

Penulis menyadari bahwa dalam penulisan Tugas Akhir ini tidak lepas dari

bimbingan dan dukungan yang diberikan beberapa pihak. Oleh karena itu, penulis

ingin menyampaikan terima kasih kepada :

1. Ibu Dra. Dwi Ispriyanti, M.Si sebagai Ketua Departemen Statistika Fakultas

Sains dan Matematika Universitas Diponegoro dan juga selaku dosen

pembimbing II.

2. Bapak Sugito, S.Si., M.Si selaku dosen pembimbing I.

3. Bapak dan Ibu dosen Departemen Statistika Fakultas Sains dan Matematika

Universitas Diponegoro

4. Semua pihak yang tidak dapat disebutkan satu per satu yang telah membantu

penulis dalam penulisan Tugas Akhir ini.

Penulis menyadari bahwa penulisan Tugas Akhir ini masih jauh dari

sempurna. Oleh karena itu, penulis mengharapkan kritik dan saran yang

membangun demi kesempurnaan penulisan selanjutnya.

Semarang, Juni 2016

!

" # !

$!

(ekstrim) dari nilai

pengamatan lainnya. Metode

%&'( )

kriging

merupakan pengembangan dari

metode

ordinary kriging

yang mentransformasikan bobot semivariogram klasik

menjadi semivariogram yang

robust

terhadap pencilan dalam data. Dalam

penelitian ini akan dilakukan estimasi konsentrasi senyawa kimia gas Nitrogen

Dioksida (NO

2

) di Kota Semarang menggunakan metode

robust kriging. Data

yang digunakan berupa titik koordinat dan konsentrasi senyawa kimia gas NO

2

.

Metode ini membandingkan nilai semivariogram

robust

dengan beberapa model

semivariogram teoritis (spherical, exponential,

dan

gaussian) untuk mendapatkan

model semivariogram teoritis terbaik yang akan digunakan untuk melakukan

estimasi. Berdasarkan analisis diperoleh model semivariogram teoritis yang

terbaik yaitu model

exponential. Estimasi konsentrasi senyawa kimia gas NO

2

dilakukan pada 177 kelurahan di Kota Semarang.

vi

Kriging is a geostatistical analysis used to estimate the value of the function at an

unsampled point by computing a spatial correlation in the neighbourhood of the

sample point. Interpolation can produce less precise predictive value if there are

outliers among the data. Outliers defined as extreme observation value of the

other observation values. Robust kriging is development method of ordinary

kriging which transform weight of classic semivariogram thus become

semivariogram that robust to outlier of the data. This research aims to estimate the

concentrate of Nitrogen Dioxide (NO

2

) in Semarang using robust kriging method.

The spatial data used in this research is coordinates point and concentrate of

Nitrogen Dioxide (NO

2

). This method compare between robust semivariogram

and theoretical semivariogram (such as spherical, exponential, and gaussian

models) to determine the best estimator of the theoretical semivariogram model.

The analysis showed that the best theoretical semivariogram model is exponential

model. The estimation of Nitrogen Dioxide concentration conducted at 177 urban

communities in Semarang.

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