Summary
This report evaluates a 2025 article published in 心理研究 (Psychological Research) by Ren Fen and Ding Yicong (DOI: 10.19988/j.cnki.issn.2095-1159.2025.05.006). The overall verdict is 'Questionable' (yellow flag). The key finding is a basic graph-theory/arithmetic error: the authors state that 12 nodes in a network can form 60 unique edges, but the correct maximum number of edges in an undirected complete graph with n=12 nodes is n(n−1)/2 = 66, not 60. This represents a clear mathematical mistake rather than deliberate fabrication, but it indicates insufficient rigor in data handling for a published academic paper. A second concern regarding a potential mismatch between zero-order correlations in Table 1 (e.g., psychopathy–Machiavellianism r = 0.575; narcissism–Machiavellianism r = 0.502) and the sparser network visualization in Figure 1 was deemed inconclusive, as LASSO-regularized partial correlations commonly produce such patterns. Confidence is high on Finding 1; Finding 2 remains unverified due to insufficient evidence.
Verdict
🟡 Questionable — The paper contains a verified mathematical error but no conclusive evidence of academic fraud.
Key findings
- Finding 1 (Verified, Yellow): Incorrect edge count for a 12-node network. Authors claim 60 edges; the correct maximum in an undirected complete graph with n=12 is 66 (formula: n(n−1)/2 = 12×11/2).
- Finding 2 (Unverified, Yellow): Apparent tension between high zero-order correlations in Table 1 (psychopathy–Machiavellianism r = 0.575; narcissism–Machiavellianism r = 0.502) and the relatively sparse edge density in Figure 1. Insufficient evidence for fraud because LASSO regularization of partial correlations routinely produces this pattern.
Evidence highlights
- Location of Finding 1: Results section, p. 433. Direct quote from the article: "在量表中有12个题项,因此在网络中有12个节点,任意两点之间连接,共可以形成60条独特的边线" (12 items → 12 nodes; any two points connected → 60 unique edges claimed).
- Correct calculation: For n = 12 nodes, the maximum number of edges in an undirected complete graph = 12 × 11 / 2 = 66 edges. The reported figure of 60 is off by 6 edges.
- Location of Finding 2: Table 1 (p. 433) and Figure 1 (p. 434). Zero-order correlations among the three Dark Triad dimensions are notably high (0.502–0.575), yet the network visualization does not display the extreme edge clustering one might naively expect from raw correlations.
- DOI: 10.19988/j.cnki.issn.2095-1159.2025.05.006
Notes
- Finding 1 most likely reflects a computational or typographical error rather than intentional manipulation, but the publication of such a basic graph-theory/math error suggests insufficient review of the results section.
- Finding 2 is statistically explicable: psychometrics network analysis typically uses partial correlations regularized via LASSO (or EBICglasso), which shrinks weak edges to zero. High zero-order correlations do not necessarily translate into dense partial-correlation networks.
- No evidence of image manipulation, data fabrication, or plagiarism was identified in this review.
- Recommended actions: authors should correct the edge count (66, not 60) and ideally publish an erratum; the partial-correlation matrix could be provided to dispel any lingering doubt about the figure–table consistency.
- This report is AI-assisted and intended for academic discussion only; final determinations of misconduct must come from official institutional investigations.
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