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The International Journal of the Royal Society of Thailand
             Volume XV-2023



             standard established by the United Nations Statistics Division (available at: https://
             unstats.un.org/unsd/methodology/m49/). Furthermore, as this article exclusively
             focuses on researchers with Thai affiliations, we excluded Thailand from the South-

             eastern subregions when calculating the proportions.

                    Finally, the characteristics of co-authorship networks were described using
             the following variables: 1) Number of co-authors (network size); 2) Edge density,
             calculated as the ratio of the number of edges to the total number of all possible edges;

             3) Number of communities, classified using the greedy optimization of modularity
             algorithm; and 4) Clustering coefficient (transitivity), representing the probability that

             the adjacent researchers of a researcher have co-authored an article.

             Statistical analyses

                    Monotonic  relationships  among  the  characteristics  of  researchers,  their
             co-authors, and networks was assessed by computing pairwise Spearman’s correlation

             coefficient . Subsequently, the principal component analysis (PCA) was performed on
             the centered and normalized values of each variable to reduce the dimensions of

             highly correlated characteristics among all researchers and identify variables that
             explain most of the variations. In the PCA, we included only the proportions of
             geographical subregions for most co-authors of Index Researchers IR_01 and IR_02,

             which encompassed Thailand, Non-Thailand South-eastern Asia, Southern Asia,
             and Western Asia. Additionally, given the suggestion that paper mill services are

             primarily based in Eastern Europe (Abalkina A, 2021), we also incorporated the
             proportion of co-authors from Eastern Europe into the analysis. The PCA was conducted
             using the FactoMineR (Lê et al, 2008) and factoextra (Kassambara & Mundt, 2020)

             packages.

                    As the final part of this case study, we further examined the detailed characteristics
             of the co-author networks of two groups of researcher, each comprising three researchers:
             1) High-performance junior researchers (HJRs), defined as researchers with the lowest

             Euclidean distance from the coordinates of Index Researcher IR_01 on the first two
             dimensions of the individual PCA plane; 2) Senior researchers (SRs), defined as

             researchers who showed the most alignment on the same dimension and direction
             with the variable “time since the first publication”.









                                     A Potential Use of Ego-centric Co-authorship Network Analysis for
             6                       Inspecting Research Misconduct: A Case Study of Thai Researchers
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