| Project/Area Number |
15300093
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | Kurume University (2004)
Kyushu University (2003) |
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Principal Investigator |
YANAGAWA Takashi Kurume University, Biostatistics Center, Professor, バイオ統計センター, 教授 (80029488)
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| Co-Investigator(Kenkyū-buntansha) |
KONISHI Sadanori Kyushu University, Faculty of Mathematics, Professor, 大学院・数理学研究院, 教授 (40090550)
HYAKUTAKE Hiroto Kyushu University, Faculty of Mathematics, Associate Professor, 大学院・数理学研究院, 助教授 (70181120)
UCHIDA Masayuki Kyushu University, Faculty of Mathematics, Associate Professor, 大学院・数理学研究院, 助教授 (70280526)
NINOMIYA Yoshiyuki Kyushu University, Faculty of Mathematics, Assistant Professor, 大学院・数理学研究院, 助手 (50343330)
KAWAGUCHI Atsudhi Kurume University, Biostatistics Center, Research fellow, バイオ統計センター, 研究員 (60389319)
長山 淳哉 九州大学, 医学部, 助教授 (90136466)
野中 美祐 久留米大学, バイオ統計センター, 研究員 (90389320)
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| Project Period (FY) |
2003 – 2004
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| Project Status |
Completed (Fiscal Year 2004)
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| Budget Amount *help |
¥7,200,000 (Direct Cost: ¥7,200,000)
Fiscal Year 2004: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2003: ¥4,700,000 (Direct Cost: ¥4,700,000)
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| Keywords | graphical modeling / causal relationship / nonlinear modeling / Bayes information criterion / asymptotic theory / rank correlation / negative binomial distribution / diffusion process / 局所最尤法 / グラフィカルモデリング / カオス的時系列 / ベイズ型モデル評価規準 / 基底関数展開法 / 負の二項分布 / 分割表 |
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| Research Abstract |
The graphical modeling techniques which have been proposed for the analysis of complex causal relationship are developed under the assumption of multivariate normal distribution. Thus they are limited for modeling only linear cause-effect relationships. 'lb remove this restriction we developed in this project graphical modeling techniques based on rank correlation matrix. The method was applied for studying joint risks of environmental contaminants such as Dioxin, PCB and pesticides measuring the amount of these chemicals in breast milks of 120 women and also measuring the thyroid and immune hormone status of infants from those mothers. It was discovered by the method that the odds ratios of thyroid function and Dioxin was 1.65 (p=0.29), but was 7.15 (p=0.02) when adjusted for PCB.
We further developed a method of graphical modeling technique that used latent structure models, and also explored the method that may deal with time series data.
Theoretical studies were conducted to develop those methods mentioned above ; namely
(i)Developed estimation and testing method for comparing two negative binomial distributions by adjusting for confounding variables by stratification.
(ii)Developed a method of nonparametric imputation.
(iii) Developed a theory to extract information from high dimensional data by modeling the data using various base functions ; developed a Bayes Information criteria to select the models; applied it to not only the graphical modeling but also other statistical methods such as disiminant analysis for DNA data and others.
(iv)Developed a theory of graphical modeling for repeated measurements data in one to K multiple comparison setting and developed an approximate confidence intervals for the parameters involved.
(v)Developed theory for estimating unknown drift parameter and diffusion parameter of the diffusion process with small diffusion and proved their consisitency and asymptotic normality.
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