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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국자료분석학회 Journal of The Korean Data Analysis Society Journal of The Korean Data Analysis Society 제18권 제1호
- 발행연도
- 2016.1
- 수록면
- 1 - 8 (8page)
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초록· 키워드
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The relationship between the response and the risk factors in regression model may be very complex in real applications and linear terms may not be enough to capture the relationship. In this paper we allow both a linear term and a nonlinear term of single-index in the model. Then we propose a semiparametric estimation for the generalized partially linear single-index model for binary response data. We use an efficient computation based on partial spline method in a lower-dimensional approximating function space to estimate a unknown function and regression parameters. The project pursuit regression method is used to estimate single-index parameters. The proposed method is investigated through simulation studies and the real analysis of Korean type 2 diabetes data. In real data analysis, the estimation of single-index link function showed a nonlinear trend with some curvature. It indicates the necessity of a nonlinear term of single-index. This method can be useful in a preliminary analysis to determine whether there is a nonlinear trend of single-index with risk factors in a logistic-type study.
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참고문헌 (18)
참고문헌 신청
Antoniadis, A. / 2004 / Bayesian estimation in single-index models / Statistica Sinica 14:1147~1164
Carroll, R. J. / 1997 / Generalized partially linear single-index models / Journal of the American Statistical Association 92:477~489
최희아 / 2011 / 한국 성인여성들의 우울증과 자살생각에 대한 분석 -제4기 국민건강영양조사자료를 이용하여- / Journal of The Korean Data Analysis Society 13(2):709~720
Gu, C. / 2002 / Penalized likelihood regression: general formulation and efficient approximation / Canadian Journal of Statistics 30(4):619~628
Gu, C. / 2001 / Cross-validating non-Gaussian data: generalized approximate cross-validation revisited / Journal of Computation and Graphical Statistics 10(3):581~591
Carroll, R. J. / 1997 / Generalized partially linear single-index models / Journal of the American Statistical Association 92:477~489
최희아 / 2011 / 한국 성인여성들의 우울증과 자살생각에 대한 분석 -제4기 국민건강영양조사자료를 이용하여- / Journal of The Korean Data Analysis Society 13(2):709~720
Gu, C. / 2002 / Penalized likelihood regression: general formulation and efficient approximation / Canadian Journal of Statistics 30(4):619~628
Gu, C. / 2001 / Cross-validating non-Gaussian data: generalized approximate cross-validation revisited / Journal of Computation and Graphical Statistics 10(3):581~591
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