Abstract
The goal of this reseach is to get the representation of welfare in Bali province based on the indicators represented by People Development Indexs (PDI). PDI is the indexs is a latent variable that can not be measured like measurement variable, so to measure PDI have to be measure by several indicators. In tgeneral, PDI is measured by three indicators that is a long and Healthy life as the Health Indicators, Education Indicators and decent standard of living as Economic Indicators. In Practice, Health Indicators is measured by mean expectation of life. Mean of long school and expectation of long school are measurement of Education Indicators. Whereas Economic Indicators is represented by purchasing power parity.
 In Staistics methods, to represent or analize multivariate variable there are many methods can be used. One of the methods is Biplot. In Biplot analysis we can represent information about row matrix and coloum matrix simultaneous. In this cases we can get information about object ( 9 districs or city in Bali) and Welfare Indicators represented by PDIsimultanous.
 The result of biplot analysis in this research is two dimension graphic that represent Euclid distance of object and correlation of indicators so that we can get information of the grouping of object and the characteristic variables of the certain group.
Highlights
Abstrak: Penelitian ini bertujuan untuk mendapatkan gambaran kesejahteraan di Provinsi Bali berdasar- kan indikator yang direpresentasikan oleh Indeks Pembangunan Manusia (IPM)
The goal of this research is to get the representation of welfare in Bali province based on the indicators represented by
a latent variable that cannot be measured like measurement variable
Summary
Misalkan X adalah matriks berukuran n p yang berpangkat r r min n, p maka penguraian nilai singular matriks X adalah (Watkins, 1991). Dimana: U adalah matriks vektor singular kiri berukuran n n dan merupakan vektor eigen dari matriks. XX ; V adalah transpos dari matriks V yaitu matriks vektor singular kanan ber- Ukuran p p dan merupakan vektor eigen dari X X; Λ adalah matriks diagonal nilai singular berukuran n p yaitu,. 1.3 Perumusan Masalah Mengacu kepada latar belakang di atas, maka permasalahan yang diidentifikasi pada penelitian ini adalah: 1. Bagaimanakan posisi dari 9 kabupaten/kota di Provinsi Bali ditinjau dari kesamaan ciri peubah-peubah kesejahteraan yang diteliti? 2. Peubah (peubah-peubah) manakah di masing-masing kabupaten/kota yang perlu diprioritaskan pengembangannya sehingga terjadi Tingkat Kesejateraan Masyrakat yang dapat dicerminkan melalui peningkatan IPM
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