Recent Advances in Statistical Analysis and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D1: Probability and Statistics".

Deadline for manuscript submissions: closed (31 December 2024) | Viewed by 1241

Special Issue Editor


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Guest Editor
School of Statistics, Renmin University of China, Beijing 100872, China
Interests: high-dimensional hypothesis testing; model averaging; sampling design

Special Issue Information

Dear Colleagues,

This Special Issue aims to spotlight the recent advancements in the field of statistical analysis and its numerous practical applications. Statistical analysis practices including traditional (regression analysis, hypothesis testing, etc.) and contemporary (machine learning applications, big data analysis, etc.) methods are increasingly proving to be pivotal for a host of domains in both academia and industry and increasingly reliable for an extensive range of complex problem-solving and decision-making scenarios involving data interpretation and foresight. The main themes of this Special Issue encompass, but are not restricted to: advancements in statistical methods, applications in data science, novel statistical learning approaches, large-scale data analysis, multi-variable statistical models, multi-disciplinary integration with statistics, applications of statistical analysis in real-world scenarios, etc.

Prof. Dr. Wangli Xu
Guest Editor

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Keywords

  • regression analysis
  • hypothesis testing
  • big data analysis
  • machine learning applications
  • large-scale data analysis
  • multi-variable statistical models

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Published Papers (1 paper)

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Research

13 pages, 252 KiB  
Article
Generalized Inference for Mediation Analysis
by Xiaoyang Ma, David P. MacKinnon, Thomas Mathew, Brian Agan, George Luta and Ionut Bebu
Mathematics 2025, 13(3), 396; https://doi.org/10.3390/math13030396 - 25 Jan 2025
Viewed by 581
Abstract
Mediation analysis has a long history and its use in applied research has been increasing. Studying mediators can help improve our understanding of mechanisms relating independent and dependent variables. The objective of this paper is to compare different methods to construct confidence intervals [...] Read more.
Mediation analysis has a long history and its use in applied research has been increasing. Studying mediators can help improve our understanding of mechanisms relating independent and dependent variables. The objective of this paper is to compare different methods to construct confidence intervals for the mediation effect for the one-mediator and two-mediator models. For the one-mediator model, we evaluated the generalized pivotal quantity (GPQ) method, the PRODCLIN method, bootstrap methods, the Sobel method, the Goodman method, and the Monte Carlo method. For the two-mediator model, we evaluated a new GPQ method, bootstrap methods, the Sobel method, the Goodman method, and the Monte Carlo method. Simulation studies compared the performance of the methods for sample sizes of 50, 100, and 200. The results of the simulation studies indicated that, for the simple traditional mediation models under consideration, the GPQ method performed well when compared with the other methods. Future work should consider the extension of the GPQ method to causal mediation analysis involving more complex models with multiple mediators. Full article
(This article belongs to the Special Issue Recent Advances in Statistical Analysis and Applications)
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