Maximum likelihood computation based on the Fisher scoring and Gauss–Newton quadratic approximations

2007 ◽  
Vol 51 (8) ◽  
pp. 3776-3787 ◽  
Author(s):  
Yong Wang
Keyword(s):  
Maximum Likelihood ◽  
Fisher Scoring ◽  
Maximum Likelihood Computation ◽  
Quadratic Approximations

scholarly journals Improving Estimation Accuracy in Non\-randomized Response Questioning Methods by Multiple Answers

2017 ◽  
Vol 6 (5) ◽  
pp. 100
Author(s):  
Heiko Groenitz
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Estimation Accuracy ◽  
Randomized Response ◽  
Sample Surveys ◽  
Fisher Scoring ◽  
Scoring Algorithm ◽  
Estimation Precision ◽  
Fisher Scoring Algorithm

When private or stigmatizing characteristics are included in sample surveys, direct questions result in low cooperation of the respondents. To increase cooperation, indirect questioning procedures have been established in the literature. Nonrandomized response methods are one group of such procedures and have attracted much attention in recent years. In this article, we consider four popular nonrandomized response schemes and present a possibility to improve the estimation precision of these schemes. The basic idea is to require multiple indirect answers from each respondent. We develop a Fisher scoring algorithm for the maximum likelihood estimation in the presented new schemes and show the better efficiency of the new schemes compared with the original designs.

scholarly journals Improving Estimation Accuracy in Nonrandomized Response Questioning Methods by Multiple Answers

2017 ◽  
Vol 6 (5) ◽  
pp. 101 ◽  
Author(s):  
Heiko Groenitz
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Estimation ◽  
Estimation Accuracy ◽  
Sample Surveys ◽  
Fisher Scoring ◽  
Scoring Algorithm ◽  
Estimation Precision ◽  
Fisher Scoring Algorithm

When private or stigmatizing characteristics are included in sample surveys, direct questions result in low cooperation of the respondents. To increase cooperation, indirect questioning procedures have been established in the literature. Nonrandomized response methods are one group of such procedures and have attracted much attention in recent years. In this article, we consider four popular nonrandomized response schemes and present a possibility to improve the estimation precision of these schemes. The basic idea is to require multiple indirect answers from each respondent. We develop a Fisher scoring algorithm for the maximum likelihood estimation in the presented new schemes and show the better efficiency of the new schemes compared with the original designs.

scholarly journals Regresi Logistik untuk Pemodelan Indeks Pembangunan Kesehatan Masyarakat Kabupaten/Kota di Pulau Kalimantan

2018 ◽  
Author(s):  
Muhammad Fathurahman
Keyword(s):  
Maximum Likelihood ◽  
Maximum Likelihood Estimation ◽  
Likelihood Ratio ◽  
Likelihood Ratio Test ◽  
Likelihood Estimation ◽  
Ratio Test ◽  
Chi Square ◽  
Fisher Scoring

Regresi logistik merupakan model regresi yang paling sering digunakan untuk pemodelan data kategorik. Pada penelitian ini dilakukan pemodelan regresi logistik dan penerapannya pada Indeks Pembangunan Kesehatan Masyarakat (IPKM) kabupaten/kota di Pulau Kalimantan tahun 2013. Metode Maximum Likelihood Estimation (MLE) digunakan untuk penaksiran parameter. Metode Likelihood Ratio Test (LRT) dan uji Wald digunakan untuk pengujian parameter. Hasil penelitian menunjukkan bahwa penaksir parameter dengan metode MLE berbentuk fungsi yang tidak eksplisit. Sehingga digunakan pendekatan numerik dengan metode Fisher Scoring. Berdasarkan metode LRT dan uji Wald, statistik uji untuk pengujian parameter mendekati distribusi chi-square dan distribusi normal standar. Berdasarkan model regresi logistik terbaik, faktor-faktor yang berpengaruh terhadap IPKM kabupaten/kota di Pulau Kalimantan tahun 2013 adalah Indeks Pembangunan Manusia (IPM), tingkat kepadatan penduduk dan persentase penduduk miskin.

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