Using the coefficient of determination R-2 to test the significance of multiple linear regression

被引：39
|
作者：
Quinino, Roberto C. [1 ]
Reis, Edna A. [1 ]
Bessegato, Lupercio F. [2 ]
机构：
[1] Univ Fed Minas Gerais, Dept Estatist, ICEx, Belo Horizonte, MG, Brazil
[2] Univ Fed Juiz de Fora, Dept Estatist, ICE, Juiz de Fora, Brazil
来源：
TEACHING STATISTICS | 2013年 / 35卷 / 02期
关键词：
Teaching; Linear regression; Coefficient of determination; R-2; Beta distribution;
D O I：
10.1111/j.1467-9639.2012.00525.x
中图分类号：
G40 [教育学];
学科分类号：
040101 ; 120403 ;
摘要：
This article proposes the use of the coefficient of determination as a statistic for hypothesis testing in multiple linear regression based on distributions acquired by beta sampling.
引用
收藏
页码：84 / 88
页数：5
相关论文
共 50 条
  • [1] Evaluation of the statistical significance of a regression and selection of the best regression using the coefficient of determination R2
    Chanvillard, Gilles
    Jones, Peter J.
    Aitcin, Claude-Pierre
    Cement, Concrete and Aggregates, 1993, 15 (01): : 31 - 38
  • [2] On the coefficient of multiple determination in a linear regression model
    Nabendu Pal
    Wooi K. Lim
    Journal of the Italian Statistical Society, 1998, 7 (2) : 129 - 157
  • [3] On the test of significance of linear multiple regression coefficients
    Mondal, Debasish
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2008, 37 (04) : 713 - 730
  • [4] Partition of the coefficient of determination in multiple regression
    Fickel, N
    OPERATIONS RESEARCH PROCEEDINGS 1999, 2000, : 154 - 159
  • [5] The measurement of R-2, R-2* and R-2' in HIV-infected patients using the prime sequence as a measure of brain iron deposition
    Miszkziel, KA
    Paley, MNJ
    Wilkinson, ID
    HallCraggs, MA
    Ordidge, R
    Kendall, BE
    Miller, RF
    Harrison, MJG
    MAGNETIC RESONANCE IMAGING, 1997, 15 (10) : 1113 - 1119
  • [6] VALIDATION STRATEGIES FOR MULTIPLE-REGRESSION ANALYSIS - USING THE COEFFICIENT OF DETERMINATION
    SOBOL, MG
    INTERFACES, 1991, 21 (06) : 106 - 120
  • [7] R-2 and the Benefits of Multiple-Fund Portfolios
    Domian, Dale
    Nanigian, David
    JOURNAL OF INVESTING, 2014, 23 (03): : 43 - 64
  • [8] Judging the significance of multiple linear regression models
    Livingstone, DJ
    Salt, DW
    JOURNAL OF MEDICINAL CHEMISTRY, 2005, 48 (03) : 661 - 663
  • [9] A determination coefficient for a linear regression model with imprecise response
    Ferraro, Maria Brigida
    Colubi, Ana
    Gonzalez-Rodriguez, Gil
    Coppi, Renato
    ENVIRONMETRICS, 2011, 22 (04) : 516 - 529
  • [10] THE SAMPLE COEFFICIENT OF DETERMINATION IN SIMPLE LINEAR-REGRESSION
    RANNEY, GB
    THIGPEN, CC
    AMERICAN STATISTICIAN, 1981, 35 (03): : 152 - 153
12345