Tree-structured model diagnostics for linear regression

被引:0
|
作者
Xiaogang Su
Chih-Ling Tsai
Morgan C. Wang
机构
[1] University of Central Florida,Department of Statistics and Actuarial Science
[2] University of California,Graduate School of Management
来源
Machine Learning | 2009年 / 74卷
关键词
AIC; CART; Heteroscedasticity; Linear models; Regression trees;
D O I
暂无
中图分类号
学科分类号
摘要
This paper studies model diagnostics for linear regression models. We propose two tree-based procedures to check the adequacy of linear functional form and the appropriateness of homoscedasticity, respectively. The proposed tree methods not only facilitate a natural assessment of the linear model, but also automatically provide clues for amending deficiencies. We explore and illustrate their uses via both Monte Carlo studies and real data examples.
引用
收藏
页码:111 / 131
页数:20
相关论文
共 50 条
  • [1] Tree-structured model diagnostics for linear regression
    Su, Xiaogang
    Tsai, Chih-Ling
    Wang, Morgan C.
    [J]. MACHINE LEARNING, 2009, 74 (02) : 111 - 131
  • [2] Putting the cart after the horse: Tree-structured regression diagnostics
    Miller, TW
    [J]. AMERICAN STATISTICAL ASSOCIATION - 1996 PROCEEDINGS OF THE STATISTICAL COMPUTING SECTION, 1996, : 150 - 155
  • [3] A Nonparametric Regression Model With Tree-Structured Response
    Wang, Yuan
    Marron, J. S.
    Aydin, Burcu
    Ladha, Alim
    Bullitt, Elizabeth
    Wang, Haonan
    [J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2012, 107 (500) : 1272 - 1285
  • [4] Tree-Structured Nonlinear Regression
    Chang, Youngjae
    Kim, Hyeonsoo
    [J]. KOREAN JOURNAL OF APPLIED STATISTICS, 2011, 24 (05) : 759 - 768
  • [5] A multiresolution tree-structured spatial linear model
    Zhu, J
    Yue, W
    [J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2005, 14 (01) : 168 - 184
  • [6] TREE-STRUCTURED EXTREME-VALUE MODEL REGRESSION
    AHN, HS
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1994, 23 (01) : 153 - 174
  • [7] TREE-STRUCTURED EXPONENTIAL REGRESSION MODELING
    AHN, H
    [J]. BIOMETRICAL JOURNAL, 1994, 36 (01) : 43 - 61
  • [8] Tree-structured regression and the differentiation of integrals
    Olshen, Richard A.
    [J]. ANNALS OF STATISTICS, 2007, 35 (01): : 1 - 12
  • [9] On tree-structured linear and quantile regression-based asset pricing
    Galakis, John
    Vrontos, Ioannis
    Xidonas, Panos
    [J]. REVIEW OF ACCOUNTING AND FINANCE, 2022, 21 (03) : 204 - 245
  • [10] Tree-Structured Regression Model Using a Projection Pursuit Approach
    Cho, Hyunsun
    Lee, Eun-Kyung
    [J]. APPLIED SCIENCES-BASEL, 2021, 11 (21):