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ITS » Master Theses » Statistika - S2
Posted by erna at 02/01/2007 11:07:23  •  16923 Views


PENDUGAAN DAN UJIHIPOTESIS UNTUK VEKTOR MEAN DAN MATRIKS KOVARIANS PADA DATA TIDAK LENGKAP

ESTIMATION AND HYPOTHESIS TEST OF MEAN VECTORS AND

Author :
Sulistya Rini, Debora  




ABSTRAK

Dalam penelitian seringkali timbul permasalahan dalam mendapatkan informasi-informasi yang dinyatakan dalam bentuk data. Data yang diperoleh tersebut tidak selalu merupakan data yang lengkap seperti yang diharapkan kadang pada suatu penelitian sering terjadi beberapa komponen suatu vektor observasi tidak dapat diperoleh hal ini mungkin karena data tersebut sulit diperoleh karena responden tidak menjawab pertanyaan dalam kuesioner atau bisa juga kerena kekeliruan dalam pencatatan data. Data-data yang didapat itu merupakan data multivariat yang dapat disajikan dalam bentuk matriks. Di mana bans dalam matriks merupakan unit pengamatan atau subyek sedangkan kolom merupakan variabel yang diukur untuk setiap unit. Tujuan yang ingin dicapai dalam penelitian ini adalah menduga vektor mean dan matriks kovarians serta menentukan statistik uji dan membentuk daerah kepercayaan dari vektor mean pada data tidak lengkap. Sebelum data dianalisis terlebih dulu dicari nilai-nilai yang hilang dan kemudian dilakukan pendugaan vektor mean dan matriks kovarians 2 yaitu dengan membuat partisi dari data yang lengkap. Pendugaan vektor mean dan matriks kovarians tersebut dilakukan dengan memaksimumkan fungsi likelihood yaitu dengan mendiferensialkan log Lt secara parsial terhadap fit dan 2. Selanjutnya dari hasil pendugaan tersebut diterapkan pada kasus data tidak lengkap untuk data hotel berbintang di Jawa Timur.


ABSTRACT

There is rarely a problem in getting informations which stated indata The data gain is not always a complete data as expected but sometimes there are some component of the observation vector was not gained in the research this occur because probably the data gain is difficult to take as the respondent didnt answer the questioner or there is a mistake of data input. The gained data is multivariate data presented in matrix which the row in matrix is observation unit or subject and coloumn is the variabel measured in every unit. The aim of this research is to estimate mean vectors and covariance matrix and also to determine statistics test and to build interval confidence from mean vectors of missing data. Before the datas analysed firstly we looked for the missing values and estimated mean vectors covariance matrix 2 by creating partision from complete data. Estimation of mean vectors and covariance matrix is created by maximise likelihood function which is done by differentiating log Lt partially agains fit and Zt. Furthermore the result of the estimation applied to the missing data case for the data of star hotels in East Java reion.



KeywordsPendugaan Maksimum Likelihood ; Mariks kovarians
 
Subject:  Statistik
Contributor
  1. Drs. I. Nyoman Latra, M.S
Date Create: 02/01/2007
Type: Text
Format: pdf; 49 pages
Language: Indonesian
Identifier: ITS-Master-3100003017702
Collection ID: 3100003017702
Call Number: 519.533 Rin p


Source
Theses Statistics RT 519. 533 Rin , 2002

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