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ISSN 0439-755X
CN 11-1911/B
主办:中国心理学会
   中国科学院心理研究所
出版:科学出版社

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    25 October 2026, Volume 58 Issue 10 Previous Issue   

    Reports of Empirical Studies
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    Reports of Empirical Studies
    The impact of time pressure on selective attention: The role of attentional scope
    WU Zeyu, ZHAO Jingjing, WANG Luyao, ZHANG Yi, ZHANG Yang
    2026, 58 (10):  1919-1930.  doi: 10.3724/SP.J.1041.2026.1919
    Abstract ( 199 )   PDF (548KB) ( 306 )   Peer Review Comments
    Selective attention enables prioritization of task-relevant information in complex environments, with object-based and space-based attention representing distinct processing modes. While chronic and acute time pressure are established influencers of higher-order cognition (e.g., decision-making), their effects on early attentional selection remain unclear. Theoretical models propose that time pressure narrows attentional scope, potentially impairing holistic object processing while sparing spatial orienting. This study tested three hypotheses: acute time pressure selectively disrupts object-based attention advantages, attentional scope mediates this disruption, and chronic time pressure exhibits negligible effects on early attentional selection.
    Three experiments examined these hypotheses across 275 university participants. Experiment 1a assessed chronic time pressure using a standardized scale, categorizing participants into high/low chronic pressure groups. All completed the two-rectangle cueing paradigm measuring object-based and space-based attention. Experiment 1b manipulated acute time pressure via response deadlines and performance feedback during the two-rectangle paradigm, with time thresholds derived from control-group reaction times. Experiment 2 integrated attentional scope measurement using the divided attention task before the two-rectangle paradigm under acute pressure. All experiments recorded reaction times and accuracy.
    Experiment 1a revealed that chronic time pressure did not significantly affect either object-based or space-based attention. Experiment 1b demonstrated that acute time pressure substantially reduced the object-based attentional advantage while leaving space-based attention intact. Experiment 2 confirmed these results and identified a critical mediating mechanism: acute time pressure significantly narrowed participants' attentional scope, which served as a full mediator in the relationship between acute time pressure the and object-based attention. Correlational analyses further revealed a strong negative relationship between acute time pressure and attentional scope, and a positive linkage between attentional scope and object-based attention.
    The results suggest that acute time pressure uniquely compromises object-based attention through narrowed attentional scope, whereas chronic time pressure and spatial attention remain resilient. These findings are consistent with attentional focus models in early visual processing and delineate pressure-type-specific pathways. Practically, optimizing performance in time-sensitive professions requires interventions mitigating attentional narrowing during acute time pressure. Training programs emphasizing holistic object processing under pressure may enhance real-world cognitive efficiency in high-stakes environments.
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    Modulation effect of interpersonal approach-avoidance actions on joint Flanker effect
    ZHAO Mengfei, BAI Linyu, SHEN Mowei, WANG Jun
    2026, 58 (10):  1931-1944.  doi: 10.3724/SP.J.1041.2026.1931
    Abstract ( 102 )   PDF (1466KB) ( 128 )   Peer Review Comments
    This study examined how interpersonal embodied actions, specifically approach-avoidance movements, influence joint action in social contexts. While previous research has largely focused on individual-level embodied effects, fewer studies have explored how such bodily interactions affect collaborative processes between individuals. The present research combined interpersonal action paradigms with a joint Flanker task to investigate whether and how interpersonal actions shape joint action performance, with a focus on the boundary conditions of partner sociality and interaction effectiveness.
    A series of experiments employed a within-subjects 3 × 2 design, with factors of condition (interpersonal approach, neutral, and avoidance actions) and compatibility (baseline vs. incompatible). Each trial presented a letter stimulus (e.g., UUHUU) centrally, which remained visible until a response occurred or 2000 ms elapsed. In the approach condition, participants moved the joystick toward their partner to embody approach; in the avoidance condition, they moved it away to convey avoidance; in the neutral condition, movements were parallel and carried no interpersonal meaning. Experiments 1a (joint context) and 1b (individual context) investigated how interpersonal embodied actions modulate interpersonal distance perception and the joint Flanker effect. Experiments 2a and 2b further tested whether these effects depended on the partner's social nature (human vs. nonsocial agent) and interaction quality (unidirectional vs. bidirectional). In Experiment 2b, one participant performed actions under all three conditions while the partner always responded neutrally.
    In Experiment 1a, interpersonal embodied actions modulated the joint Flanker effect in a joint context. Specifically, the approach condition led to a larger joint Flanker effect, accompanied by closer interpersonal distance perceptions. By contrast, the avoidance condition eliminated the joint action effect and yielded significantly greater interpersonal distances. A Pearson correlation analysis revealed a significant negative correlation between psychological distance and the magnitude of the joint Flanker effect. However, in the individual context (Experiment 1b), embodied actions did not significantly modulate the Flanker effect. Although interpersonal embodied actions influenced interpersonal distance in Experiment 2b, neither Experiment 2a nor 2b showed a significant effect of these actions on the joint action effect itself.
    These findings demonstrate that interpersonal embodied actions modulate joint action performance, but only when the partner is socially relevant and the interaction is effective. This study extends embodied cognition theory to joint action research and provides empirical evidence clarifying the mechanism by which embodied actions influence joint performance.
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    Coherence relation modulates brain network mechanisms of semantic conflict processing: fMRI evidence from causal and concessive coherence relations
    JIA Cheng, XU Xiaodong
    2026, 58 (10):  1945-1960.  doi: 10.3724/SP.J.1041.2026.1945
    Abstract ( 60 )   PDF (6502KB) ( 118 )   Peer Review Comments
    Connectives signal semantic relations between discourse units and guide readers toward coherent mental representations. Causal connectives such as because and concessive connectives such as although instantiate fundamentally different coherence relations with distinct cognitive demands, yet previous neuroimaging studies have mainly focused on differences in regional brain activation or pairwise functional connectivity, leaving systematic examination of whole-brain functional network organization largely unexplored. This study employed fMRI combined with graph-theoretical network analysis and multivariate pattern analysis (MVPA), using a 2 (connective type: causal vs. concessive) × 2 (semantic consistency: consistent vs. conflicting) within-participant design, to systematically examine how coherence relation type modulates brain network organization during semantic conflict processing in native Mandarin speakers. Functional connectivity matrices were constructed from trial-wise beta estimates across 90 cortical and subcortical regions defined by the Automated Anatomical Labeling atlas. Graph-theoretical analysis quantified global network properties including global efficiency, modularity, and small-worldness, local nodal properties including degree, betweenness centrality, and nodal efficiency, and rich-club organization. Searchlight-based MVPA further examined whether neural representations of semantic conflict were distinguishable across sentence types and generalizable across coherence relation frameworks.
    At the global network level, concessive conflict produced significantly lower global efficiency than causal conflict, while causal conflict maintained significantly higher modularity across multiple network sparsity thresholds. At the local nodal level, the left inferior frontal gyrus (IFG), middle temporal gyrus (MTG), and angular gyrus (ANG) exhibited significant connective-type-by-semantic-consistency interaction effects in nodal degree and other centrality measures, with nodal centrality values consistently higher for causal than concessive sentences under conflict conditions. Rich-club analysis revealed that concessive conflict caused substantially greater disruption to hub-to-hub (rich-club) connections and feeder connections than causal conflict, whereas peripheral (local) connections remained unaffected in both conditions. Within-condition MVPA successfully decoded causal conflict from concessive conflict trials, with peak classification accuracy in the left superior temporal gyrus, middle temporal gyrus, and inferior frontal gyrus. Critically, cross-relation-type generalization decoding failed: a classifier trained on one relation type showed no above-chance decoding accuracy in any brain region when tested on the other.
    These findings indicate that the brain network mechanisms underlying semantic conflict processing are fundamentally shaped by the coherence relation framework established by connectives. Causal reasoning maintained a modular, high-efficiency network architecture under conflict, reflecting compartmentalized processing through selective inter-module communication. In contrast, concessive reasoning required cross-module integration that disrupted modular boundaries and weakened hub connectivity. The generalization failure further indicated that semantic conflict is encoded through coherence-relation-dependent neural representations rather than as purely abstract, domain-general signals. Taken together, these multi-level convergent findings advance coherence relation research from the level of regional activation to whole-brain network organization, providing novel network-level evidence for the neural basis of the syntax-semantics interaction observed in discourse comprehension.
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    Processing of target-matching distractors in visual working memory: Attentional capture and storage gain
    WANG Yanxiang, DAI Mingsu, GUO Ruiqiao, LIU Qiang
    2026, 58 (10):  1961-1974.  doi: 10.3724/SP.J.1041.2026.1961
    Abstract ( 70 )   PDF (1040KB) ( 60 )   Peer Review Comments
    Visual working memory (VWM) has a strictly limited capacity, necessitating efficient selection mechanisms to prevent irrelevant information from consuming cognitive resources available for targets. Traditional theoretical models propose that once distractors bypass the attentional filter and enter storage, they are assumed to compete with target representations and consequently impair memory performance. However, it remains unclear whether this assumption also applies when distractors share defining features with targets, that is, when they are target-matching distractors. Unlike feature-mismatching distractors, target-matching distractors may engage distinct processing mechanisms due to their feature similarity to the targets. This study investigated the processing of target-matching distractors and their behavioral consequences, testing the hypothesis that they may not be completely filtered out and may interact with target storage in a manner that differs from the traditional resource-competition account.
    To isolate the cognitive processing of targets and distractors, we employed a lateralized VWM filtering paradigm across two experiments. Experiment 1 included 28 participants (mean age = 20.04 years), who performed a change-detection task involving memory arrays composed of two target squares and two distractor circles. The experimental conditions manipulated the number of distractors that shared colors with the targets: mismatch (zero), partial match (one), and full match (two). Electroencephalographic (EEG) activity was recorded to examine event-related potentials (ERPs), including the N2pc, an index of attentional selection; the positivity posterior contralateral (Ppc), and contralateral delay activity (CDA), an index of storage-related maintenance. Experiment 2 included 24 participants and adopted a 2 (distractor type: match vs. mismatch) × 2 (presentation probability: high vs. low) within-subjects design. By manipulating the probability of matching trials, this experiment tested whether the effects observed in Experiment 1 reflected strategic processing biases.
    In Experiment 1, accuracy was significantly higher in the partial-match condition than in the mismatch condition (p = 0.021). Electrophysiologically, both partial-match and full-match distractors elicited significant N2pc and CDA components, suggesting that they captured attention and engaged storage-related maintenance processes. In contrast, mismatch distractors did not elicit reliable N2pc or CDA components, and early Ppc activity was not consistently modulated by feature matching. Experiment 2 replicated this pattern, demonstrating the robustness of these effects. Accuracy was significantly higher in the match condition (M = 0.91) than in the mismatch condition (M = 0.88, p < 0.001, Cohen's d = 0.47), regardless of presentation probability. ERP analyses further showed that presentation probability modulated early allocation of attention to targets, as reflected by target-elicited N2pc amplitude, but did not alter the storage-related pattern; target-matching distractors consistently elicited reliable N2pc and CDA components, whereas mismatch distractors did not. Together, these findings suggest that target-matching distractors entered storage-related processing but facilitated, rather than impaired, target memory performance.
    This study demonstrates that target-matching distractors are processed in a distinctive manner in VWM. Specifically, these distractors are not rigidly suppressed; instead, they are flexibly accommodated by the selection system when they share task-relevant features with targets. Crucially, the inclusion of such task-irrelevant but feature-relevant information in storage-related processing does not necessarily impair performance. Rather, feature overlap between targets and distractors may facilitate target memory. These findings refine traditional accounts of distractor suppression by suggesting that VWM filtering is not purely exclusionary, but is sensitive to the potential relevance of incoming information.
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    The impact of differences in collaborators' encoding levels on collaborative retrieval: An fNIRS hyperscanning study
    SUN Yaru, LI Bingbing, DUAN Yajie, HU Jinhui, HE Yang, CHEN Ning, LIU Wei
    2026, 58 (10):  1975-1989.  doi: 10.3724/SP.J.1041.2026.1975
    Abstract ( 74 )   PDF (2483KB) ( 70 )   Peer Review Comments
    Collaborative retrieval refers to the joint recovery of encoded information by two or more individuals through social interaction. Although this process typically yields collaborative inhibition relative to nominal groups, it concurrently generates a post-collaborative facilitation effect that enhances subsequent individual retention. While previous studies have highlighted encoding level as a crucial moderating factor, they have predominantly focused on group-level manipulations rather than on the effects of within-group encoding disparities. By incorporating functional near-infrared spectroscopy (fNIRS), this study investigated how such disparities influence inter-brain synchrony (IBS) and directional neural coupling, thereby revealing the leadership-followership dynamics and information transfer patterns during collaboration.
    A total of 160 university students participated in a single-factor between-participants experiment. The study manipulated the encoding composition of dyads across three conditions: differential encoding (semantic + perceptual), homogeneous high-level encoding (semantic + semantic), and homogeneous low-level encoding (perceptual + perceptual), while matched nominal groups served as controls. The experimental stimuli comprised 32 neutral, low-frequency, two-character words balanced for grammatical category and structure. The procedure involved four phases: an encoding phase, distraction task, collaborative (or individual) retrieval phase, and secondary individual retrieval phase. During the collaborative retrieval phase, fNIRS hyperscanning was employed to record neural activity. This study primarily focused on the prefrontal cortex and right temporoparietal junction.
    The behavioral results indicated that, compared with nominal groups, homogeneous dyads exhibited collaborative inhibition, whereas differential dyads (semantic + perceptual) effectively eliminated this inhibition and enhanced post-collaborative individual retrieval, particularly benefiting perceptual encoders. In terms of neural activity, the results showed that differential encoding strengthened IBS in the right middle frontal gyrus (BA10) and right angular gyrus (BA39), with this synchrony positively predicting post-collaborative retrieval accuracy. Granger causality results further revealed the directional characteristics of the IBS, demonstrating a significant information flow from semantic encoders to perceptual encoders in the differential condition. This suggests a leader−follower dynamic in which semantic encoders guided the retrieval process.
    In summary, the present study demonstrated that differential encoding composition promotes deeper social interaction, effectively eliminating collaborative inhibition and fostering post-collaborative facilitation. Inter-brain synchrony serves as a critical neural mechanism underlying the establishment of a leader−follower dynamic, thereby facilitating the effective transfer of information from semantic to perceptual encoders. These results provide empirical support for the optimization of collaborative memory through within-group encoding disparities. This study offers a novel perspective on the role of encoding levels and contributes to a deeper understanding of complex social−cognitive processes from the perspective of interpersonal neuroscience.
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    The interventional advantage of interpersonal emotion regulation in vicariously learned fear: Evidence from behavioral and event-related potential studies
    HUANG Yong, WANG Haolan, YANG Jiemin, LI Yaqin, GAO Wei, YUAN Jiajin
    2026, 58 (10):  1990-2007.  doi: 10.3724/SP.J.1041.2026.1990
    Abstract ( 85 )   PDF (3697KB) ( 87 )   Peer Review Comments
    Fear serves an important adaptive function; however, excessive fear expression poses substantial risks to mental health and is closely associated with pathological conditions such as anxiety disorders and post-traumatic stress disorder (PTSD). Cognitive reappraisal has been demonstrated to mitigate directly acquired fear within an interpersonal emotion regulation framework. However, its effectiveness in regulating vicariously learned fear remains unclear. Given the prosperity of online social media, which allows fear to be readily acquired through observation and social transmission, often resulting in widespread and persistent negative consequences, identifying efficient emotion regulation strategies to intervene in such fear is of paramount importance.
    To address this issue, this study used demonstrator videos to induce vicariously learned fear and integrated behavioral measures and event-related potential (ERP) techniques to systematically investigate the effects of interpersonal emotion regulation—based on cognitive reappraisal—on vicariously learned fear. Experiment 1 focused on behavioral outcomes, including threat perception, threat expectancy, and avoidance behavior, and Experiment 2 further explored the underlying electrophysiological correlates (P2, P3, and LPP). Experiment 1 adopted a 2 (stimulus type: CS+ vs. CS-) × 2 (phase: acquisition vs. regulation) × 3 (group: interpersonal regulation vs. self-regulation vs. no regulation) mixed design. A total of 90 participants completed the experiment. Experiment 2 employed a 2 (group: self-emotion regulation vs. interpersonal emotion regulation) × 2 (stimulus type: CS+ vs. CS-) × 2 (phase: viewing vs. regulation) mixed design. The final valid EEG sample comprised 44 participants.
    The findings revealed a consistent pattern across two experiments: (1) Both the interpersonal emotion regulation and self-emotion regulation strategies significantly reduced threat perception and threat expectancy elicited by conditioned stimuli predicting a shock. Importantly, interpersonal emotion regulation produced significantly greater reduction in these fear-related responses than the self-emotion regulation in Experiment 1. (2) Replicating and extending these findings, behavioral results in Experiment 2 showed that participants in the interpersonal emotion regulation condition reported significantly lower levels of coping difficulty during strategy implementation and exhibited fewer avoidance behaviors compared to those in the self-emotion regulation condition. (3) ERP findings provided neural evidence supporting these behavioral advantages. During the regulation phase, interpersonal emotion regulation produced a more pronounced reduction in the late positive potential (LPP) wave amplitude than self-regulation. Moreover, during the subsequent test phase, where conditioned stimuli were presented without regulator support or explicit regulation instructions, participants in the IER group exhibited significantly smaller P2 and P3 amplitudes than those in the self-emotion regulation group. (4) Correlation analysis revealed a significant positive correlation between shock anticipation and LPP amplitude during the viewing and regulation phases, and the enhanced P3 amplitudes were associated with increased emotional coping difficulty.
    These results yield two primary conclusions. First, cognitive reappraisal can effectively regulate vicariously learned fear in both self-regulation and interpersonal regulation contexts, extending the utility of this strategy beyond directly experienced fear. More importantly, interpersonal emotion regulation was more effective than self-regulation in attenuating vicariously learned fear. This advantage may stem from reduced subjective regulatory difficulty, thereby enabling a more efficient implementation of cognitive reappraisal. These findings are consistent with social baseline theory, indicating that social support helps individuals decrease the physiological and cognitive costs of coping with negative experiences through resource and risk sharing. Furthermore, this study provides an empirical foundation for research on fear extinction, particularly concerning vicariously learned fear.
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    Emotion regulation via conditioning placebo effects: The role of the dorsolateral prefrontal cortex in conditioning formation
    TANG Yuyao, LI Yiwei, GUO Xinyu, ZHANG Dandan
    2026, 58 (10):  2008-2021.  doi: 10.3724/SP.J.1041.2026.2008
    Abstract ( 69 )   PDF (3026KB) ( 79 )   Peer Review Comments
    Placebo effects have been conceptualized as an automatic emotion regulation strategy that requires limited engagement of frontal regions and can operate under constrained cognitive resources. As such, they may represent a low-demand regulatory pathway, particularly beneficial for individuals with compromised prefrontal functioning. However, prior research has primarily focused on expectancy-based placebo effects, whereas the role of classical conditioning—operating in the absence of explicit expectations or intentional regulatory goals—remains largely unexplored, especially in the domain of emotion regulation. Although the dorsolateral prefrontal cortex (DLPFC) has been shown to play a causal role in expectancy-driven placebo effects, its involvement in conditioned placebo effects remains unclear. The present study examined whether classically conditioned placebo effects can attenuate negative emotions and whether the DLPFC plays a causal role in this process.
    Seventy healthy participants completed a classical conditioning paradigm. Before the conditioning phase, repetitive transcranial magnetic stimulation was applied either to the right DLPFC or to a control site at the vertex. During both the conditioning and test phases, subjective ratings of negative emotion and pupil diameter were recorded as indices of emotional arousal and cognitive resource allocation. The results showed that, during conditioning, participants in the DLPFC group exhibited significantly greater pupil dilation in response to positive cues than those in the control group, indicating enhanced cognitive resource engagement. Moreover, participants in the DLPFC group reported lower negative emotion ratings and showed reduced pupil responses to images paired with positive cues, suggesting the formation of more positive emotional representations. During the test phase, both groups showed significant placebo and nocebo effects. Critically, however, the placebo effect was significantly stronger in the DLPFC group, as reflected in lower negative emotion ratings and smaller pupil responses following positive cues. Mediation analyses further revealed that DLPFC activation did not directly enhance the placebo effect. Instead, it exerted an indirect effect by increasing cognitive resource allocation to positive cues during conditioning and by amplifying representational differences between cue-emotion associations.
    The present study provides causal evidence that the DLPFC contributes to the formation of classically conditioned placebo effects in negative emotion regulation. These findings extend placebo research beyond expectancy-based mechanisms and identify conditioning as a viable low-cognitive-load pathway for emotion regulation, with important theoretical and potential clinical implications for individuals with limited executive resources.
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    Emotion-specific or general? An ALE meta-analysis of inhibitory control impairments in patients with depression
    LIU Rong, ZHANG Shuangxi, SUN Xiao, ZHANG Guimin, SONG Yaowu
    2026, 58 (10):  2022-2034.  doi: 10.3724/SP.J.1041.2026.2022
    Abstract ( 80 )   PDF (806KB) ( 80 )   Peer Review Comments
    Impaired inhibitory control is considered one of the key factors contributing to the progression of depression. Cognitive models of depression propose that deficits in inhibitory control weaken individuals' ability to regulate emotional information, thereby sustaining negative affect and exacerbating depressive symptoms. However, because patients with depression exhibit both emotional disturbances and widespread cognitive impairments, explaining inhibitory control deficits solely from an emotion-processing perspective may not fully capture their role in the pathophysiology of depression. Therefore, it is necessary to systematically integrate existing evidence to determine whether inhibitory control impairments in depression are primarily emotion-specific or reflect a more generalized cognitive dysfunction, thereby clarifying the pathways through which inhibitory control contributes to the onset and maintenance of depression. The present study conducted a meta-analysis to synthesize neuroimaging findings from emotional and non-emotional inhibitory control tasks in patients with depression, aiming to identify the characteristics and neural mechanisms of inhibitory control deficits.
    Specifically, this study conducted an Activation Likelihood Estimation (ALE) meta-analysis of task-related neural activation differences between patients with major depressive disorder (MDD) and healthy controls (HC) during emotional and non-emotional inhibitory control tasks. Following a systematic literature search and rigorous screening, 19 task-based fMRI studies were included, involving 393 individuals with MDD and reporting 133 activation foci. Based on task type (emotional vs. non-emotional) and the direction of activation difference (MDD > HC vs. MDD < HC), these foci were classified into four datasets: emotional-MDD > HC, emotional-MDD < HC, non-emotional-MDD > HC, and non-emotional-MDD < HC. All coordinates were transformed into Montreal Neurological Institute (MNI) space prior to analysis, with Talairach coordinates reported in the original studies converted to MNI coordinates using GingerALE 2.6.3. Single ALE analyses were performed for each dataset using an uncorrected threshold of p < 0.0001 and a minimum cluster size of 200 mm³. Because the non-emotional-MDD < HC and non-emotional-MDD > HC datasets showed no significant convergent activation, contrast analyses between emotional and non-emotional inhibitory control tasks could not be performed.
    The results showed that, during emotional inhibitory control tasks, individuals with MDD exhibited compensatory hyperactivation in the right middle frontal gyrus (34, 38, 32), and decreased activation convergence in the left middle frontal gyrus (-36, 40, 16) and right inferior frontal gyrus (50, 14, 18) relative to HC. By contrast, no significant convergent activation was observed for non-emotional inhibitory control tasks.
    This meta-analysis advances our understanding of the pathophysiology of depression by revealing the characteristics of inhibitory control deficits. The findings indicate that depression is characterized by altered recruitment of prefrontal regions during emotional inhibitory control, supporting the view that inhibitory control deficits in depression are closely linked to emotional processing dysfunction. These results highlight a potential pathway through which impaired inhibitory control may contribute to the persistence of depressive symptoms and may inform the development of targeted cognitive and neurobiological interventions.
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    The effects of process and outcome cues on 4- to 7-year-old children's and adults' inferences and evaluations of ability and effort
    ZHAO Xin, ZHENG Aiying, ZHANG Wenyu
    2026, 58 (10):  2035-2050.  doi: 10.3724/SP.J.1041.2026.2035
    Abstract ( 86 )   PDF (2054KB) ( 119 )   Peer Review Comments
    Ability and effort are two important factors children use to explain success and failure. A growing body of research shows that children can infer others' ability and effort from behavioral and contextual cues (for example, how much time someone takes to complete a task), and that they increasingly prefer hardworking individuals over smart individuals as they grow older. However, prior studies have typically used single-outcome scenarios, leaving open the question of whether children's reasoning is sensitive to changes of outcomes. The present study investigated whether children's inferences about ability and effort are sensitive to changes in outcome cues (e.g., exam rankings), whether they prefer smart or hardworking individuals, and how these patterns change with age.
    The study involved 120 children aged 4-7 years (M = 6.08, 63 girls) and 100 adults (M = 25.69, 50 women) in China. We employed a two-task paradigm in which participants were shown two characters completing two rounds of exams. In the first exam, both characters achieved identical performance outcomes (i.e., the same ranking), but one completed the task faster than the other. Participants were asked to infer which character was smarter, which worked harder, and to provide comparative evaluations of the two characters. In the second exam, the outcome was manipulated such that the character previously judged as smarter (or more hardworking, depending on the condition) was depicted as performing worse (ranked lower) than the other character. Participants were then asked to make the same inferences and evaluations again. We examined whether these inferences and evaluations changed following the outcome manipulation.
    Three main findings emerged. First, children as young as 4 years old inferred that the character who finished the task faster as smarter, whereas their inferences about effort showed notable developmental changes. Four-year-olds were unable to infer who was more hardworking; beginning around age 5.5 years, however, children inferred the character who took longer to finish the task as more hardworking. Second, children's inferences of smartness were sensitive to outcome information, whereas their inferences about effort were less likely to change in response to outcome information. Third, their evaluations also showed developmental change, with older children increasingly favoring the hardworking character. In contrast, adults' inferences about both smartness and effort remained stable despite changes in outcomes.
    These findings indicate that children's conceptions of smart and effort, as well as their sensitivity to outcome, follow distinct developmental trajectories. Children demonstrate early competence in inferring smartness and these inferences are sensitive to outcomes, whereas their conceptualization of effort develops relatively later and becomes more process-oriented and less outcome-dependent with age. These findings contribute to our understanding of achievement-related cognition and suggest that educators could support children's appreciation of effort by emphasizing process rather than outcome, particularly in early childhood.
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    Awe and healthy eating among adolescents: Differential mechanisms and intervention strategies
    LI Xiaoming, MENG Yuan, DING Daoqun
    2026, 58 (10):  2051-2068.  doi: 10.3724/SP.J.1041.2026.2051
    Abstract ( 107 )   PDF (1318KB) ( 127 )   Peer Review Comments
    Awe is an emotion of wonder and perceived vastness that arises when people encounter stimuli that exceed their existing mental frames. Prior studies suggest that awe can encourage healthier choices, but it remains unclear whether adolescents respond in the same way to awe elicited by nature and awe elicited by non-nature-based stimuli. Drawing on nature connectedness and construal-level perspectives, this study examined how different forms of awe shaped adolescents' healthy eating preferences and identified presentation strategies that could strengthen these effects.
    Five experiments were conducted with adolescent participants (N = 937). In Study 1, video materials were used to induce positive nature-based awe, negative nature-based awe, non-nature-based awe, or a neutral emotional state. Participants then completed a healthy snack-choice task. Nature connectedness and construal level were measured as potential mediators. Studies 2a and 2b tested whether cues related to food naturalness would enhance the effect of positive nature-based awe. Study 2a presented yogurt advertisements that emphasized natural or artificial attributes, whereas Study 2b manipulated packaging color as an indirect cue of naturalness. Healthy eating was assessed using self-reported healthy food preferences and willingness to pay (WTP). Studies 3a and 3b examined whether activating high-level construal would strengthen the effect of non-nature-based awe. Study 3a varied advertising appeals by emphasizing long-term versus immediate health benefits, and Study 3b varied spatial framing by presenting healthy foods in distant versus close-up views. Across experiments, participants completed emotion manipulation checks, food evaluation tasks, and demographic measures.
    Consistent with our hypotheses, the results showed that both positive nature-based awe and non-nature- based awe promoted healthier eating, as reflected in healthier snack choices, stronger preferences for healthy foods, and higher WTP. Crucially, the two forms of awe operated through different psychological pathways. Positive nature-based awe increased healthy eating mainly by strengthening adolescents' connectedness with nature, whereas non-nature-based awe increased healthy eating mainly by promoting a higher construal level. The follow-up experiments further supported these mechanism-specific enhancement strategies. When adolescents experienced positive nature-based awe, emphasizing a food's natural attributes, rather than artificial attributes, and using natural packaging colors, rather than non-natural colors, increased healthy food evaluations and WTP. When adolescents experienced non-nature-based awe, highlighting long-term health benefits rather than immediate benefits, or presenting healthy foods in distant rather than close-up views, participants reported stronger healthy eating preferences and higher WTP. These patterns indicated that different forms of awe operate through source-specific psychological mechanisms and that matching food cues to the relevant mechanism produces stronger effects than mismatched or neutral presentations.
    Overall, these findings suggest that awe is not a uniform emotional driver of healthy eating. Instead, the health-promoting effect of awe depends on its source and on whether food messages fit the psychological process it activates. The study extends research on emotion and dietary decision-making by distinguishing nature connectedness from construal level as two mechanisms linking awe to adolescents' food choices. It also offers practical implications for nutrition education, school-based health promotion, and public health communication. Awe-based interventions may be more effective when emotional induction is paired with naturalness cues or with higher-level construal framing that matches the type of awe being elicited.
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    Punishing bullies, compensating victims, and rewarding defenders: Third-party behaviors from the perspective of bullying prevention and intervention
    WANG Fan, CHEN Guanghui, CHEN Peikun, ZHI Nuo, CHANG Yuan, XIAN Yemin, ZHANG Wenxin
    2026, 58 (10):  2069-2081.  doi: 10.3724/SP.J.1041.2026.2069
    Abstract ( 99 )   PDF (589KB) ( 71 )   Peer Review Comments
    Bullying is a widespread aggressive behavior in school environments in which stronger individuals intentionally harm weaker peers who are unable to defend themselves effectively. Direct confrontation with bullies may incur retaliation or social risks, making indirect and non-conflictive third-party behaviors feasible paths to uphold anti-bullying norms. On the basis of the framework of punishing bullies, compensating victims, and rewarding defenders, this study systematically explored third-party punishment, compensation, and reward behaviors among primary, junior high, and senior high school students, as well as their differences across gender and school stages in bullying contexts.
    A total of 1011 students from primary, junior high, and senior high schools participated in three sequential studies using economic game paradigms and hypothetical scenario paradigms. Study 1 adopted a 2 (gender: male vs. female) × 3 (school stage: primary vs. junior high vs. senior high) between-subjects design to examine third-party punishment and compensation in the “bully-victim” dyadic interaction context. Study 2 extended to the “bully-victim-defender” triadic interaction context, adding third-party rewards as an outcome variable while maintaining the same design as Study 1. Study 3 integrated data from Studies 1 and 2, using a 2 (defender presence: absent vs. present) × 2 (gender) × 3 (school stage) between-subjects design to compare differences in third-party punishment and compensation across the two contexts.
    The results showed that, in hypothetical bullying contexts, students showed both social and economic third-party punishment toward bullies, third-party compensation toward victims (except for social third-party compensation in the dyadic context without a defender), and both social and economic third-party rewards toward defenders when a defender was present, with both social (e.g., helping willingness) and economic (e.g., token allocation) dimensions examined. Compared with the dyadic context (without defenders), the triadic context (with defenders) significantly enhanced students' economic third-party punishment toward bullies. Senior high school students exhibited significantly higher levels of social third-party punishment toward bullies than junior high school and primary school students. Males showed significantly higher levels of economic third-party punishment and compensation than females. Junior high school females demonstrated higher social third-party rewards, whereas senior high school males showed higher levels of both social and economic third-party rewards.
    These findings suggest that primary and secondary school students show third-party behavioral tendencies consistent with punishing bullies, compensating victims, and rewarding defenders in hypothetical bullying contexts. The presence of defenders strengthens norm enforcement by enhancing economic punitive behaviors, and third-party behaviors exhibit distinct developmental and gender-specific characteristics. Given that this study relied on hypothetical scenarios, helping willingness, and token allocation, the findings should not be interpreted as direct evidence for the effectiveness of real-world school-based interventions. Rather, they provide a directional basis for future exploration of non-conflictive anti-bullying behaviors and intervention design.
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    The effect of doctor-patient maximization combinations on patient engagement in shared decision-making
    ZHU Dongqing, QIN Luyao, LI Chunxin, LIANG Zhuyuan
    2026, 58 (10):  2082-2102.  doi: 10.3724/SP.J.1041.2026.2082
    Abstract ( 79 )   PDF (1239KB) ( 49 )   Peer Review Comments
    Shared decision-making (SDM) is inherently a dynamic process of power transitioning from doctors to patients, and the degree to which this process is realized depends on how the combined characteristics of doctors and patients shape the transition. Nevertheless, few studies have systematically examined how doctor-patient characteristic combinations influence patients' willingness to engage in SDM from a power transition perspective. To address this gap, this study integrates the power transition perspective, maximization research, and self-determination theory to systematically investigate the effect of doctor-patient maximization combinations on patients' willingness to engage in SDM and the mediating role of overall satisfaction of patients' psychological needs in this process.
    Employing content analysis of audio-recorded consultations, Study 1 explored whether doctor-patient maximization combinations influence patients' willingness to engage in SDM, combining patients' self-reported willingness with coded SDM behavioral data. With the support of the department head, one maximizing and one satisficing doctor were identified as target doctors. First-visit patients were randomly recruited from their clinics. After each consultation, patients completed a questionnaire assessing their maximizing tendencies, willingness to engage in SDM, and control variables. All consultations were audio-recorded, and the recordings were independently coded by trained research assistants on five behavioral indicators. Results confirm a significant interaction effect between doctor and patient maximizing tendencies on patients' willingness to engage in SDM. Specifically, when interacting with a satisficing doctor, maximizing patients exhibit stronger willingness to engage in SDM than satisficing patients. In contrast, a maximizing doctor significantly reduces engagement willingness among both maximizing and satisficing patients (supporting H1).
    Using a multi-wave design with real-world, randomly matched doctor-patient dyads, Study 2 examined whether the overall satisfaction of patients' psychological needs mediates the relationship between doctor-patient maximization combinations and patients' willingness to engage in SDM. To reduce common method bias, data were collected from dyads at four separate time points. Before the consultation (T1), waiting patients reported their maximizing tendencies (independent variable) and demographic information. After the consultation (T2), these patients assessed their overall satisfaction of psychological needs (mediating variable) and immediate willingness to engage in SDM (dependent variable), along with control measures. Following the clinic session on the same day (T3), the attending doctors reported their own maximizing tendency and control variables. Two weeks after the consultation (T4), patients' delayed willingness to engage in SDM was measured through the hospital's routine telephone follow-up system. Replicating prior findings, this study further reveals that the overall satisfaction of patients' psychological needs mediates the relationship between doctor-patient maximization combinations and patients' willingness to engage in SDM —both immediately and two weeks later (supporting H2 and H3).
    Using a hidden profile task in a SDM context, Study 3 used a 2 (doctor maximization: maximizing vs. satisficing) × 2 (patient maximization: maximizing vs. satisficing) between-subjects design to establish causal inferences for our theoretical model. Doctors and patients were first randomly assigned to either a maximizing or satisficing condition and subsequently paired to form four dyad types. Each dyad then completed a hidden profile task in a SDM context, after which we recorded behavioral data (final decisions and total preset messages exchanged). Finally, patients reported their willingness to engage in SDM, the overall satisfaction of psychological needs, and demographics. The results further validate the research hypotheses (supporting H1, H2 and H3), lending support to its causal inferences. By incorporating a hidden profile task into the SDM context, this research partially simulated the doctor-patient information exchange and SDM process, and objectively assessed SDM effectiveness based on both parties' decision outcomes.
    Collectively, this study reveals that doctor-patient maximization combinations significantly influence patients' willingness to engage in SDM through the overall satisfaction of patients' psychological needs, thus providing valuable theoretical insights. First, it extends the theoretical perspective on SDM by systematically investigating the effect of doctor-patient maximization combinations. Second, by integrating maximizing theory with SDM research, it establishes an interdisciplinary bridge between behavioral decision science and clinical communication. Finally, it not only extends self-determination theory beyond its conventional boundaries but also develops a need-satisfaction-based theoretical model of SDM.
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    Time choices behind bars: A preliminary exploration of decision-making behaviors of prison inmates
    LIU Bo, YE Yuxin, YANG Rui, WANG Xiaotian
    2026, 58 (10):  2103-2120.  doi: 10.3724/SP.J.1041.2026.2103
    Abstract ( 103 )   PDF (677KB) ( 77 )   Peer Review Comments
    Criminal behavior poses a substantial burden on society, necessitating a deeper understanding of the decision-making processes within incarcerated populations for effective prevention and rehabilitation. This study investigated the differences in intertemporal decision-making, risk propensity, death awareness, subjective life expectancy, and tolerance for expected zero returns between inmates and the general population. We hypothesize that inmates would exhibit a stronger preference for immediate rewards, higher risk propensity in specific decision domains, weaker death awareness, and lower subjective life expectancy compared to the general population controls. We also proposed and explored a novel concept of “zero-outcome sensitivity” as a new index of impulsivity distinguishing inmates and the general population in intertemporal decision-making.
    This research comprised three interrelated studies. Study 1 compared intertemporal decision-related variables between inmates and an age-and-gender matched control group recruited from the general population. Participants completed questionnaires and tasks to measure their intertemporal choice preferences between immediate versus delayed rewards, risk propensities across task domains (recreational, safety control, moral, financial, sexual reproduction, and social competition), death awareness, and subjective life expectancy. Study 2 focused on the impact of expected zero returns on decision-making, presenting participants with scenarios that emphasized the potential for a zero gain. Study 3 constructed a moderated mediation model for inmate and control groups, incorporating thoughts about death, subjective life expectancy, risk propensity, zero-outcome sensitivity and delay discounting patterns. The analyses of the results were controlled for demographic factors such as gender, age, educational level, and criminal background in the inmate group.
    The findings revealed that inmates demonstrated a significantly stronger preference for immediate rewards than the general population. Regarding risk propensity, inmates exhibited higher risk-taking tendencies in recreational, safety control, moral, social competition, and sexual reproduction domains but lower risk propensity in the financial domain. Furthermore, inmates reported lower death awareness and subjective life expectancy. Notably, inmates displayed a heightened sensitivity to and lower tolerance for scenarios involving expected zero returns, which intensified their preference for immediate gratification. The moderated mediation model in Study 3 indicated a complex, non-linear relationship between death awareness and subjective life expectancy, with risk-taking propensity as a moderator. Building on multiple replications of the zero-outcome effect, this study attempts to conceptualize “zero-outcome sensitivity” by quantifying this effect and using it as an indicator to distinguish between different groups and individuals, highlighting its capacity to interpret inmates' decision-making processes and underscoring the model's utility in capturing nuanced behavioral patterns across diverse scenarios.
    This research identified key distinctions in decision-making behaviors between inmates and the general population, elucidating the underlying psychological mechanisms. The study's theoretical contributions include conceptualizing and quantifying “zero-outcome sensitivity” and discovering a non-linear relationship between death awareness and subjective life expectancy, modulated by risk preferences. These findings provide empirical evidence for more accurate individual assessments of inmates and criminal risk assessment. The implications of this study also extend to practical applications in criminal justice, potentially leading to more effective interventions to reduce recidivism and promote rehabilitation.
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    Do red and blue colors in marketing contexts have differential effects on consumer attitudes and behaviors? Evidence from meta-analysis and experiments
    LIU Wumei, WANG Lu, HUANG Lei
    2026, 58 (10):  2121-2138.  doi: 10.3724/SP.J.1041.2026.2121
    Abstract ( 116 )   PDF (1248KB) ( 105 )   Peer Review Comments
    As crucial sensory cues, color marketing has long attracted sustained attention from marketing practitioners and scholars. Red and blue, as two frequently contrasted colors in marketing practice and academic research, are widely used in advertisements, product packaging, store decorations, and brand logos. Despite their practical and theoretical importance, existing findings on the effects of red and blue remain inconsistent. Moreover, relatively little attention has been paid to whether color effects differ across consumers' attitudinal responses and behavioral responses. While some studies suggest that blue outperforms red in enhancing consumer responses, others report the opposite. This inconsistency raises critical questions: Does blue, compared with red, exert an overall positive effect on consumer responses? Do its effects differ between attitudinal responses, such as brand favorability, and behavioral responses, such as ad clicks or purchase behavior? To address these questions, this meta-analysis interprets and calibrates the overall effects of blue versus red on consumers' attitudinal and behavioral responses. In addition, drawing on dual-system processing theory, this study proposes a four-quadrant theoretical framework to explain the mechanisms underlying the differential effects of red and blue on these two types of consumer responses.
    A comprehensive literature search was conducted across EBSCO, Web of Science, Elsevier, and Wiley databases, yielding 51 eligible articles with 156 effect sizes. The sample spanned the U.S., China, the U.K., Japan, and other countries. Two independent coders systematically coded the included studies, recording each study's basic information, including authors, publication year, journal, effect size information, sample size, and moderator coding. Effect sizes were coded as correlation coefficients or converted from available statistics, such as F values, t values, Cohen's d, means, and standard errors. Using multilevel hierarchical linear modeling, the present meta-analysis accounted for the nested structure of multiple effect sizes within the same article. Data analysis was performed using the meta, metafor, and metaSEM packages in R 4.5.2. Prior to the formal analysis, publication bias was assessed using the Fail-Safe Number to ensure the robustness of the findings.
    The meta-analysis revealed that blue, compared with red, had a positive effect on both consumers' attitudinal responses and behavioral responses. Specifically, blue exerted a stronger positive effect on attitudinal responses, r = 0.11, and a positive but relatively weaker effect on behavioral responses, r = 0.08. Thus, although blue generally elicited more positive consumer responses than red, its effect was stronger for attitudinal responses than for behavioral responses. This finding suggests that the influence of color is not uniform across different types of consumer outcomes. More importantly, the results indicate that the inconsistent conclusions in prior research can be better understood by distinguishing between attitudinal and behavioral responses and by considering how different moderators shape affective and rational processing.
    Grounded in dual-system processing theory, this study further examined how four categories of moderators account for the inconsistent effects of red and blue on consumers' attitudinal and behavioral responses. Specifically, these moderators were classified into four categories: variables that influence affective processing, variables that influence rational processing, variables that simultaneously influence both affective and rational processing, and variables that influence neither affective nor rational processing. This four-quadrant framework helps explain why blue versus red may produce stronger, weaker, or even inconsistent effects across attitudinal and behavioral outcomes under different conditions. In addition, an online experiment was conducted to further examine the mechanism underlying the inconsistent effects of red and blue on consumers' attitudinal and behavioral responses, providing additional evidence for the proposed theoretical explanation.
    Theoretically, this study makes several contributions. First, it reconciles inconsistent findings in prior color psychology research by quantitatively calibrating the overall effect of blue versus red on consumer responses. Second, by distinguishing between attitudinal and behavioral responses, this study reveals that blue has a stronger influence on consumer attitudes than on consumer behaviors, thereby offering a more nuanced understanding of color effects in marketing contexts. Third, the proposed four-quadrant framework extends dual-system processing theory to the domain of color marketing by showing how affective and rational processing jointly shape the boundary conditions of red and blue color effects. Finally, this study extends the application of connectionism theory and dual-system processing theory by demonstrating how color cues may activate different psychological associations and processing routes, which in turn produce differentiated consumer responses.
    Practically, the findings provide actionable implications for color marketing. Since blue generally elicits more positive consumer responses than red, firms may consider using blue when the goal is to enhance overall consumer evaluations. However, because blue has a stronger effect on attitudinal responses than on behavioral responses, marketers should not assume that favorable attitudes will automatically translate into corresponding consumer behaviors. Instead, they should strategically match color choices with specific marketing objectives. For example, when the primary goal is to enhance brand favorability, product liking, or advertising evaluation, blue may be particularly effective. When the goal is to stimulate behavioral responses, such as clicks, purchases, or sharing, firms should consider whether additional contextual cues are needed to strengthen the translation from attitude to behavior. Overall, this study offers guidance for firms on how to use red and blue more appropriately in marketing practice.
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    A residual-based weighted robust item parameter estimation method for aberrant responses
    GAO Xuliang, LI Tingting, WANG Fang
    2026, 58 (10):  2139-2152.  doi: 10.3724/SP.J.1041.2026.2139
    Abstract ( 71 )   PDF (520KB) ( 40 )   Peer Review Comments
    Item Response Theory (IRT) models are widely used in psychological and educational measurement. Their effectiveness, however, can be undermined by data quality issues, particularly aberrant responding, such as cheating, careless errors, rapid guessing, and hybrid forms involving multiple aberrant response behaviors. Such responses are especially prevalent in online assessments, where the absence of supervision, external distractions, and low participant motivation can introduce substantial measurement noise. Empirical evidence indicates that even 10~15% proportion of aberrant responses can meaningfully distort parameter estimates, while higher proportions (20~30% or more) can lead to severe bias in item and ability parameter estimates, reduce reliability, distort factor structures, and compromise measurement invariance test.
    Person-fit statistics (PFS) are widely used to identify aberrant respondents. However, their dependence on full-sample parameter estimates makes them susceptible to the masking effect, in which aberrant responses bias item parameter estimation and, in turn, obscure person misfit, particularly when the proportion of aberrant responses is high. To overcome this limitation, a robust marginal maximum likelihood method has been proposed that incorporates PFS-derived weights into the likelihood function, thereby down-weighting aberrant respondents during parameter estimation. Using the $ l^*_z$ statistic, this method can effectively reduce bias while retaining all response data.
    Building on this framework, the present study introduces a new robust weighting method, namely Residual-Based Robust Weighting (RRW), which replaces $ l^*_z$ with a residual-based person-fit statistic (PFS). Residual-based statistics quantify item-level deviations between observed and expected responses, standardized by their variances and aggregated across items. This finer-grained approach improves sensitivity to subtle and heterogeneous aberrant patterns compared to the aggregated likelihood ratio underlying $ l^*_z$. As a result, RRW assigns lower weights to respondents whose residual patterns deviate substantially from model expectations, while preserving the full contribution of respondents whose responses are consistent with the model.
    We evaluated the proposed RRW method through simulation studies and an empirical example, comparing its performance with unweighted estimation and the $ l^*_z$-based RMML approach. Results showed that aberrant responding substantially distorts item parameter estimation, with the unweighted method exhibiting the largest increases in RMSE and bias as aberrance levels rise. The $ l^*_z$-based method improved discrimination estimates to some extent but showed limited effectiveness for threshold parameters. In contrast, RRW consistently achieved lower estimation errors for both discrimination and threshold parameters across most conditions, with its advantages becoming more pronounced under higher aberrance levels. Moreover, RRW maintained stable performance as test length increased, demonstrating strong robustness and applicability in complex testing scenarios.
    Empirical results further validated RRW's superiority: it reduced item parameter estimation error to a certain extent and enhanced ability estimates for non-aberrant respondents, demonstrating its effectiveness in mitigating the adverse impact of aberrant responses in real testing contexts. By improving item parameter accuracy, RRW indirectly increases the precision of ability estimation, providing a practical and robust alternative for IRT applications in complex testing environments. Overall, evidence from both simulation and empirical analyses indicates that the RRW weighted estimation method effectively reduces the negative effects of complex aberrant response patterns on item parameter estimation and shows strong potential for practical implementation.
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    Comparing the accuracy of three sampling algorithms of MCMC method for estimating variance components in generalizability theory
    LI Guangming
    2026, 58 (10):  2153-2166.  doi: 10.3724/SP.J.1041.2026.2153
    Abstract ( 59 )   PDF (1030KB) ( 44 )   Peer Review Comments
    Generalizability theory (GT), a modern psychometric framework, has been widely applied in practice. Its efficacy relies on the accurate estimation of variance components. While variance components are traditionally estimated using methods such as analysis of variance (ANOVA), Bootstrap, Jackknife, MINQUE, and restricted maximum likelihood (REML method), Bayesian Markov chain Monte Carlo (MCMC) estimation has demonstrated advantages. However, the performance of MCMC depends on the chosen sampling algorithms. Local update algorithms, such as Metropolis-Hastings (M-H) algorithm and Gibbs sampling, are prone to random walk behaviors and slow convergence, particularly when conditional distributions are complex or parameters are highly correlated. Although the Hamiltonian Monte Carlo (HMC) algorithm effectively suppresses random walk behavior and handles high-dimensional, complex models efficiently, its application to the estimation of variance components within GT remains unexamined. To date, no published studies have compared M-H algorithm, Gibbs sampling, and HMC algorithm in this context.
    This study evaluated and compared the estimation accuracy of three sampling algorithms of MCMC method across two common GT research designs: the one-faceted crossed design (p×i) and the two-faceted crossed design (p×i×h). Using simulation methodologies, we manipulated three independent variables: (1) sampling algorithms (M-H, Gibbs, and HMC), (2) prior distributions (informative, non-informative, and empirical), and (3) missing data ratios (0%, 5%, and 10%). The dependent variables were the estimated variance components, Bias, and Root Mean Square Error (RMSE).
    In simulation study, we generated data using R software, with 1000 batches of data generated for the p×i and the p×i×h. For the generated data, R software implemented the estimation of variance components for M-H algorithm, Gibbs sampling, and HMC algorithm by calling the corresponding software package. In empirical research, a batch of data containing 1429 participants was used to validate the conclusions drawn from the simulation study, and it was found that the empirical research results were almost consistent with the simulation research results.
    The research results indicated that: (1) low ratios of missing data (up to 10%) yielded negligible effects across all three algorithms, demonstrating the robust handling of missingness inherent to MCMC; (2) across all conditions, informative and empirical priors yielded higher estimation accuracy than non-informative priors; (3) HMC algorithm uniquely exhibited “cross-design” stability, maintaining high accuracy across both the p×i and the p×i×h, whereas M-H algorithm and Gibbs sampling demonstrated structural limitations and lower accuracy; and (4) for M-H algorithm and Gibbs sampling to achieve acceptable accuracy in higher-dimensional spaces, a minimum of four levels for the h facet (h≥4) was required. Consequently, we highly recommend that future GT researchers utilizing Bayesian MCMC frameworks adopt the HMC algorithm.
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