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primary topic: RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT)

RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT)
type: Thesis
type: Article
abstract: Sequential probability ratio test (SPRT) adalah prosedur uji sekuensial yang membedakan antara dua hipotesis dan didasarkan pada perbandingan rasio. Uji sekuensial membagi tiga daerah uji keputusan yaitu daerah penerimaan, daetrah penolakan dan daerah indeferen yang menjembatani daerah tersebut. Tujuan penulisan skripsi ini adalah unt uk menjelaskan prosedur dari analisis sekuensial dan penerapannya. Dalam penulisan akandijelaskan bagaimana metode rancangan Sequential Probability Ratio Test (SPRT) didapatkan serta penerapannya pada uji sekuensial proporsi. Pada dasarnya Sequential Probability Ratio Test (SPRT) terbentuk dari rasio nilai-nilai fungsi peluang. Prosedur yang dilakukan untuk mendapatkan rancangan Sequential Probability Ratio Test (SPRT)adalah: (1) Menentukan nilai batas ܣ dan nilai batas ܤ , (2) Menentukan fungsi peluang ݈ ଵ௡ dan ݈ ଴௡ pada persamaan umum dan ߨ ଵ௡ dan ߨ ଴௡ untuk rasio proporsi, (3) Menentukan nilai rasio ݈ 1݊ ݈ 0݊ ൌ ݂ 1 ൫ ݔ 1, ߠ 1 ൯݂ 1 ሺ ݔ 2 ,ఏ భ ሻ …݂ 1 ሺݔ ݊, ߠ 1 ሻ ݂ 0 ൫ ݔ 1, ߠ 0 ൯݂ 0 ሺݔ 2 ,ߠ 0 ሻ …݂ 0 ሺݔ ݊, ߠ 0 ሻ dan rasio untuk proporsi ߨ 1݊ ߨ 0݊ ൌ ቀ ߨ 1 ߨ 0 ቁ ݊ 1 ቀ 1െߨ 1 1െߨ 0 ቁ ݊ 2 . (4)Menentukan keputusan uji sekuensial dengan ketentuan jika ߨ 1݊ ߨ 0݊ ൒ܣ, maka ܪ 0 ditolak, jika ߨ 1݊ ߨ 0݊ ൑ܤ, maka ܪ 0 diterima, jika ܤ൏ గ భ೙ గ బ೙ ൏ܣ, maka pengamatan dilanjutkan. Sebelum menentukan keputusan untuk menerima, menolak, atau melanjutkan pengamatan hal pertama yang harus dilakukan yaitu menentukan nilai batas ܣൌ ଵିఉ ఈ dan nilai batas ܤൌ ఉ ଵିఈ .Penerapan uji sekuensial diilustrasikan dengan contoh yaitu rancangan sampling dari analisis sekuensial untuk pengujian proporsi unit barang, yaitu dengan menentukan apakah unit barang termasuk golongan bagus atau rusak. Dari hasil perhitungan didapatkan nilai rasio fungsi peluang గ భ೙ గ బ೙ ൌ 0,3521݊ ଵ െ0,0511݊, dengan nilai batas ܣൌെ1,2966 dan nilai batas ܤൌ 1,9777 .
date: 2012-07
status: published
author list: authors
type: EPrint
type: ThesisEPrint
is part of: repository
has document: RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT) (Text)
has document: RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT) (Other)
subject: Matematika
subject: Perpustakaan

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RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT) (Text)
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UNIVERSITAS NEGERI YOGYAKARTA
type: Organization

FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM, UNIVERSITAS NEGERI YOGYAKARTA
type: Organization

Kurnia Sestri Nela
type: Person
given name: Kurnia
family name: Sestri Nela

Endang Listyani, M.S.
type: Organization

Himmawati Puji Lestari, M.Si.
type: Organization

Mathilda Susanti, M.Si.
type: Organization

Atmini Dhoruri, M.S.
type: Organization

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primary topic: RANCANGAN SEQUENTIAL PROBABILITY RATIO TEST (SPRT)

Matematika
type: Concept

Perpustakaan
type: Concept