Presentation 2022-07-22
A Study on Multilevel Coefficient Linear Regression Model and an Optimal Prediction for Multilevel Data by Bayes Decision Theory
Kohei Horinouchi, Naoki Ichijo, Taisuke Ishiwatari, Toshiyasu Matsushima,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) It is common practice to apply Multilevel Model (Linear Mixed Model, Hierarchical Linear Model) for the data sampled from various classes. In this model, it is considered about parameter estimation. On the other hand, in this research, we consider predicting new data sampled from an unknown class. We consider that there is the data that affects all classes and the others which affect a specific class. And our approach is to take the expectation for all possible models.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Multilevel Data / Multilevel Analysis / Multilevel Model / Linear Regression Model / Global Regression Coefficient / Local Regression Coefficient / Bayes Decision Theory
Paper # IT2022-26
Date of Issue 2022-07-14 (IT)

Conference Information
Committee IT
Conference Date 2022/7/21(2days)
Place (in Japanese) (See Japanese page)
Place (in English) Okayama University of Science
Topics (in Japanese) (See Japanese page)
Topics (in English) Freshman session, General
Chair Tetsuya Kojima(Tokyo Kosen)
Vice Chair Yasuyuki Nogami(Okayama Univ.)
Secretary Yasuyuki Nogami(Saitamai Univ.)
Assistant Takayuki Nozaki(Yamaguchi Univ.)

Paper Information
Registration To Technical Committee on Information Theory
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Study on Multilevel Coefficient Linear Regression Model and an Optimal Prediction for Multilevel Data by Bayes Decision Theory
Sub Title (in English)
Keyword(1) Multilevel Data
Keyword(2) Multilevel Analysis
Keyword(3) Multilevel Model
Keyword(4) Linear Regression Model
Keyword(5) Global Regression Coefficient
Keyword(6) Local Regression Coefficient
Keyword(7) Bayes Decision Theory
1st Author's Name Kohei Horinouchi
1st Author's Affiliation Waseda University(Waseda Univ.)
2nd Author's Name Naoki Ichijo
2nd Author's Affiliation Waseda University(Waseda Univ.)
3rd Author's Name Taisuke Ishiwatari
3rd Author's Affiliation Waseda University(Waseda Univ.)
4th Author's Name Toshiyasu Matsushima
4th Author's Affiliation Waseda University(Waseda Univ.)
Date 2022-07-22
Paper # IT2022-26
Volume (vol) vol.122
Number (no) IT-128
Page pp.pp.56-60(IT),
#Pages 5
Date of Issue 2022-07-14 (IT)