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

页码：84 / 88

页数：5

共 50 条

[21] Experimental Determination of the Heat Transfer Coefficient of Real Cooled Geometry Using Linear Regression Method
Ali, Asif
Cocchi, Lorenzo
Picchi, Alessio
Facchini, Bruno
ENERGIES, 2021, 14 (01)
[22] EMPIRICAL　BAYES　ESTIMATION　FOR　ESTIMABLE　FUNCTION　OF　REGRESSION　COEFFICIENT　IN　A　MULTIPLE　LINEAR　REGRESSION　MODEL
韦来生
ActaMathematicaScientia, 1996, (S1) : 22 - 33
[23] A generalized normal scores test that increases the power of a test of significance for a coefficient in a linear model
O'Gorman, Thomas W.
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (12) : 4216 - 4228
[24] ESTIMATION OF A CONDITIONAL MEAN IN A LINEAR-REGRESSION MODEL AFTER A PRELIMINARY TEST ON REGRESSION COEFFICIENT
BHOJ, DS
AHSANULLAH, M
BIOMETRICAL JOURNAL, 1994, 36 (02) : 153 - 163
[25] Overcoming Multicollinearity In Multiple Regression Using Correlation Coefficient
Zainodin, H. J.
Yap, S. J.
INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013), 2013, 1557 : 416 - 419
[26] A NEW APPROACH OF USING THE GOLDFELD-QUANDT TEST OF HETEROSCEDASTICITY FOR MULTIPLE LINEAR REGRESSION
Rana, Sohel
Muhammad, Adamu Adamu
Elgohari, Hanaa
INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2022, 18 (02): : 697 - 703
[27] EMPIRICAL TEST OF THE CAPM USING LINEAR REGRESSION
Cervinek, Petr
Hvozdenska, Jana
EUROPEAN FINANCIAL SYSTEMS 2012, 2012, : 30 - +
[28] Local influence on a test of linear hypothesis in multiple regression model
Kim, MG
JOURNAL OF APPLIED STATISTICS, 1998, 25 (01) : 145 - 152
[29] ESTIMATION OF INTERCEPT IN A LINEAR REGRESSION MODEL WITH ONE DEPENDENT VARIABLE AFTER A PRELIMINARY TEST ON REGRESSION COEFFICIENT
AHSANULLAH, M
SALEH, AKM
INTERNATIONAL STATISTICAL REVIEW, 1972, 40 (02) : 139 - +
[30] An adjusted coefficient of determination (R2) for generalized linear mixed models in one go
Piepho, Hans-Peter
BIOMETRICAL JOURNAL, 2023, 65 (07)

← 1 2 3 4 5 →