Sufficient jackknife-after-bootstrap method for detection of influential observations in linear regression models

被引：13

作者：

Beyaztas, Ufuk ^{[1
]}

Alin, Aylin ^{[1
]}

机构：

[1] Dokuz Eylul Univ, Dept Stat, Izmir, Turkey

来源：

STATISTICAL PAPERS | 2014年 / 55卷 / 04期

关键词：

Sufficient bootstrap; Jacknife; Bootstrap; Influential observation; Regression diagnostics;

D O I：

10.1007/s00362-013-0548-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this study, we adapt sufficient bootstrap into the jackknife-after-bootstrap (JaB) algorithm. The performances of the sufficient and conventional JaB methods have been compared for detecting influential observations in linear regression. Comparison is based on two real-world examples and an extensive designed simulation study. Design includes different sample sizes and various modeling scenarios. The results reveal that proposed method is a good competitor for conventional JaB method with less standard error and amount of computation.

引用

页码：1001 / 1018

页数：18

共 50 条

[21] Comparison of bootstrap and jackknife variance estimators in linear regression: Second order results
Bose, A
Chatterjee, S
[J]. STATISTICA SINICA, 2002, 12 (02) : 575 - 598
[22] A COMPARISON OF THE JACKKNIFE AND BOOTSTRAP ESTIMATORS IN LINEAR-MODELS USED BY SASOL
ANGUS, SM
[J]. SOUTH AFRICAN STATISTICAL JOURNAL, 1991, 25 (02) : 147 - 147
[23] JACKKNIFE INFERENCE FOR HETEROSCEDASTIC LINEAR-REGRESSION MODELS
SHAO, J
RAO, JNK
[J]. CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1993, 21 (04): : 377 - 395
[24] Influential Observations in Bayesian Regression Tree Models
Pratola, M. T.
George, E. I.
McCulloch, R. E.
[J]. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 2024, 33 (01) : 47 - 63
[25] Detection of Influential Observations in Semiparametric Regression Model
Turkan, Semra
Toktamis, Oniz
[J]. REVISTA COLOMBIANA DE ESTADISTICA, 2013, 36 (02): : 273 - 286
[26] Procedures for the identification of multiple influential observations in linear regression
Nurunnabi, A. A. M.
Hadi, Ali S.
Imon, A. H. M. R.
[J]. JOURNAL OF APPLIED STATISTICS, 2014, 41 (06) : 1315 - 1331
[27] BOOTSTRAP TOLERANCE INTERVALS FOR LINEAR REGRESSION MODELS
Abdel-Karim, Amany Hassan
[J]. ADVANCES AND APPLICATIONS IN STATISTICS, 2023, 87 (02) : 139 - 159
[28] Bootstrap Tests for Overidentification in Linear Regression Models
Davidson, Russell
MacKinnon, James G.
[J]. ECONOMETRICS, 2015, 3 (04): : 825 - 863
[29] Identification of Influential Cases in Structural Equation Models Using the Jackknife Method
Rensvold, Roger B.
Cheung, Gordon W.
[J]. ORGANIZATIONAL RESEARCH METHODS, 1999, 2 (03) : 293 - 308
[30] Jackknife model averaging for linear regression models with missing responses
Zeng, Jie
Cheng, Weihu
Hu, Guozhi
[J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2024, 53 (03) : 583 - 616

← 1 2 3 4 5 →