A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets : A Practical Application on ISW-Ridge Relationships
Joint Authors
Chen, Tsung-Hao
Chen, Chen-Yuan
Chen, Cheng-Wu
Yang, Hsien-Chueh Peter
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-04
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The general approach to modeling binary data for the purpose of estimating the propagation of an internal solitary wave (ISW) is based on the maximum likelihood estimate (MLE) method.
In cases where the number of observations in the data is small, any inferences made based on the asymptotic distribution of changes in the deviance may be unreliable for binary data (the model's lack of fit is described in terms of a quantity known as the deviance).
The deviance for the binary data is given by D.
Collett (2003).
may be unreliable for binary data.
Logistic regression shows that the P-values for the likelihood ratio test and the score test are both <0.05.
However, the null hypothesis is not rejected in the Wald test.
The seeming discrepancies in P-values obtained between the Wald test and the other two tests are a sign that the large-sample approximation is not stable.
We find that the parameters and the odds ratio estimates obtained via conditional exact logistic regression are different from those obtained via unconditional asymptotic logistic regression.
Using exact results is a good idea when the sample size is small and the approximate P-values are <0.10.
Thus in this study exact analysis is more appropriate.
American Psychological Association (APA)
Chen, Tsung-Hao& Chen, Chen-Yuan& Yang, Hsien-Chueh Peter& Chen, Cheng-Wu. 2008. A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets : A Practical Application on ISW-Ridge Relationships. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-452879
Modern Language Association (MLA)
Chen, Tsung-Hao…[et al.]. A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets : A Practical Application on ISW-Ridge Relationships. Mathematical Problems in Engineering No. 2008 (2008), pp.1-12.
https://search.emarefa.net/detail/BIM-452879
American Medical Association (AMA)
Chen, Tsung-Hao& Chen, Chen-Yuan& Yang, Hsien-Chueh Peter& Chen, Cheng-Wu. A Mathematical Tool for Inference in Logistic Regression with Small-Sized Data Sets : A Practical Application on ISW-Ridge Relationships. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-452879
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452879