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ITS » Master Theses » Statistika - S2
Posted by yeni at 27/12/2006 11:46:50  •  13258 Views


STATISTIK UJI EMPIRICAL LIKELIHOOD RATIO PARAMETER POPULASI DALAM MODEL NONPARAMETRIK

Author :
SULIYANTO 




ABSTRAK

Salah satu permasalahan penting dalam statistika adalah inferensi statistika. Jika diberikan sampel random Xi X2 ... Xn dari fungsi distribusi Fx yang diketahui maka dapat dilakukan inferensi statistik untuk menguji hipotesis parameter populasinya dan membuat interval konfidensi bagi parameter populasinya dengan menggunanakan salah satu alat uji statistik rasio likelihood . Inferensi statistik semacam ini dikatakan inferensi parametrik. Tetapi bagaimana jika fungsi distribusinya tidak diketahui dalam hal ini kita tidak mungkin melakukan inferensi parametrik melainkan dengan inferensi nonparametrik Qin 1993 . Salah satu bentuk inferensi nonparametrik yang dibahas dalam penelitian ini berkaitan dengan sampel random dari dua populasi yang mempunyai fungsi distribusi kontinu tetapi tidak diketahui. Diasumsikan sampel random si xi X2 ... xm diambil dari populasi pertama yang mempunyai fungsi distribusi kontinu Fx tidak diketahui dan sampel random kedua S2 yiy2-- yn diambil dari populasi kedua yang mempunyai fungsi distribusi terboboti Gy yang tidak diketahui yaitu Gy ax dFx cox 0 y 0 w ox dFx o dimana cox adalah fungsi pembobot. n Tujuan dari penelitian ini adalah mencari statistik uji Empirical Likelihood Ratio ELR mencari distribusi asimtotik dari statistik uji ELR untuk menguji hipotesis Ho 0 0o versus Hi 0 0o dimana 0 EFX dan menerapkan statistik uji ELR pada data ultrafdtration in vivo untuk mendapatkan interval konfidensi dari rata-rata nilai Ultrafiltration rate UFR dalam mlhr yang dihasilkan oleh dialyzer-dialyzer pada Center 1 akibat pemberian Transmembran pressure TMP antara 155 mmHg sampai 471 mmHg dengan menggunakan tingkat signifikan a 5 . Dari hasil penelitian didapat statistik uji ELRyaitu R0 2 lw-lw9 dengan menggunakan metode pengali lagrange. Distribusi asimtotik dari statistik uji ELR adalah R90J xf untuk N oo. Hasil uji hipotesis menunjukkan bahwa rata-rata nilai UFR yang dihasilkan oleh dialyzer-dialyzer pada Center 1 akibat pemberian TMP antara 155 mmHg sampai 471 mmHg berada dalam interval 903 mlhr sampai 1068 ml hr dengan tingkat signifikan a 5 .


ABSTRACT

One of important matter in the statistical is statistic inference. If we let random sample Xi X2 ... Xn for distnbution function Fx that it had known then can be done a statistic inference to examine of the population parameter hypotesis and to create confidence interval for the population parameter with using one of test instrument that is statistical likelihood ratio. Statistic inference like as this can say as parametric inference. But how if the distrtbution function didnt know in this case we impossible to do the parametric inference except with nonparametric inference Qin 1993. One of model from nonparametric inference that had studied in this research connected with random sample from two populations had distribution function of continuous but didnt know. Assumsed that random sample Si xi x2 ... xm taken from first population which had have distribution function of continuous Fx didnt know and second random sample s2 yi y2 ... yn taken from weighted distribution function V 00 Gy didnt too that is Gy coxdFx cox 0y0 w ox dFx 0 0 where ax is weighted function. Goal of this research is to look for Empirical Likelihood Ratio ELR statistic test to look for asymptotic distribution of ELR statistic test to examine of hypotesis Ho 0 0o versus Hi 0 0o where 0 EFX and to apply ELR statistic test for ultrafiltration in vivo data to take confidence interval from rate of Ultrafiltration rate UFR value in mlhr that resulted by dialyzers in Center 1 as consequence of Transmembran pressure TMP giving between 155 mmHg up to 471 mmHg with to use level of significant a 5. For research result has gotten ELR statistic test that is R0 2lw lw6 with using lagrange multiplier method. Asymptotic distribution of ELR statistic test that is R0O x2i fr N QO. Test result of hypotesis shown that rates UFR value that resulted by dialyzers in Center 1 as consequence TMP giving between 155 mmHG up to 471 lie on interval 903 mlhr up to 1068 mlhr with level of significant a 5.



Keywords
 
Subject:  Analisis Data
Contributor
  1. Dr. Drs. I Nyoman Budiantara, MS.
    Bambang Widjanarko Otok, S.Si, M.Si
Date Create: 27/12/2006
Type: Text
Format: pdf; 62 pages
Language: Indonesian
Identifier: ITS-Master-3100003018397
Collection ID: 3100003017678
Call Number: 519.54 Sul s


Source
Theses Statistica RT 519.54 Sul s, 2002

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