Estimating individual-level interaction effects in multilevel models: a Monte Carlo simulation study with application*

Moderated multiple regression provides a useful framework for understanding moderator variables. These variables can also be examined within multilevel datasets, although the literature is not clear on the best way to assess data for significant moderating effects, particularly within a multilevel modeling framework. This study explores potential ways to test moderation at the individual level (level one) within a 2-level multilevel modeling framework, with varying effect sizes, cluster sizes, and numbers of clusters. The study examines five potential methods for testing interaction effects: the Wald test, F-test, likelihood ratio test, Bayesian information criterion (BIC), and Akaike information criterion (AIC). For each method, the simulation study examines Type I error rates and power. Following the simulation study, an applied study uses real data to assess interaction effects using the same five methods. Results indicate that the Wald test, F-test, and likelihood ratio test all perform similarly in terms of Type I error rates and power. Type I error rates for the AIC are more liberal, and for the BIC typically more conservative. A four-step procedure for applied researchers interested in examining interaction effects in multi-level models is provided.     

作家共时性互动在文学史编纂中的意义——以英国伊丽莎白时期文坛三则互动事件为例

文学史编纂应该展示一个时代里作家的互动,突出他们之间的共时性影响,这既有助于读者了解个别作家和诗人的艺术成长过程,又有助于读者把握一些文学概念和观点形成的来龙去脉,还有助于读者厘清文学发展的脉络,把握个别作家与整个时代的文学特征。英国伊丽莎白时期文坛互动的三个实例,斯宾塞和哈维在通讯中有关参与＂诗法社＂英语新诗格律试验的讨论,坎皮恩和丹尼尔就诗歌押韵展开的论争,以及锡德尼等人对高松攻击诗歌的回应,可资为作家共时性影响的个案研究。     

Trajectory of quality of mother-child interactions: Prospective links with child socioemotional functioning

Research shows that the quality of mother-child interactions is a robust antecedent of child socioemotional functioning. Yet, relatively little is known about the evolution of this relational quality over time, and even less about how changes in relational quality may bear on child adjustment. This study aimed to describe the trajectory of quality of mother-child interactions between ages 2 and 7 and to investigate associations between individual differences in this trajectory and child socioemotional functioning at age 8. In a sample of 233 mother-child dyads primarily comprised of White French-Canadian mothers, the quality of interactions was assessed during 10-min play sequences when children were aged 2, 4, and 7 years. Child internalizing, externalizing, and prosocial behaviors were reported by a subsample of 171 teachers at age 8. The results showed that on average, quality of mother-child interactions decreased over time. In terms of individual differences, children who experienced a slower decrease in the quality of interactions with their mother from 2 to 7 years showed less internalizing behavior at age 8, over and above initial quality at 2 years. Children involved in higher quality interactions with their mother at 2 years showed more prosocial and less externalizing behavior at age 8, independent of the subsequent decrease in the quality of those interactions. The findings suggest that initial levels and subsequent changes in the quality of mother-child interactions are two distinct indicators of their relationship with potentially different implications for child adjustment.     

Do actions reduce perceived risk? A longitudinal analysis of the relationship between risk perception and actions in response to forest disturbance in Colorado

As residents living in hazard-prone areas face on-going environmental threats, the actions they take to mitigate such risks are likely motivated by various factors. Whereas risk perception has been considered a key determinant of related behavioral responses, little is known about how risk mitigation actions influence subsequent perceived risk. In other words, do actions to prevent or mitigate risk reduce risk perception? This longitudinal study considers the dynamic relationships between risk perception and risk-mitigating behavior in the context of forest disturbance in north-central Colorado. Based on panel survey data collected in 2007 and 2018, the results provide a first look at changes in perceived forest risks as they relate to individual and community actions in response to an extensive mountain pine beetle outbreak. Analysis revealed that the perception of direct forest risks (forest fire and falling trees) increased, whereas indirect forest risk perception (concern on broader threats to local community) decreased across the two study phases. Higher individual or community activeness (level of actions) was associated with subsequent reductions in perceived forest fire risk, smaller increases in direct risk perception, and larger decreases in indirect risk perception. These findings contribute insights into the complex risk reappraisal process in forest hazard contexts, with direct implications for risk communication and management strategies.     

Everyday discrimination,emotion, and daily interactions during adolescence

The present study examined whether everyday discrimination relates to the frequency of adolescents' positive and negative daily social interactions and whether these associations are driven by anger and positive emotion. Adolescents (N = 334) participated in a three-wave longitudinal study, in which they completed surveys regarding everyday discrimination, anger, and positive emotion, as well as 15 daily reports of conflict and getting along with friends and family. Higher everyday discrimination was related to more daily conflicts and fewer experiences of getting along with other people. Longitudinal models also provided preliminary evidence that everyday discrimination was associated with daily conflicts 4 years later indirectly through anger. Overall, results suggest everyday discrimination relates to adolescents' daily experiences, potentially through differences in emotion.     

廖承志与中日友好事业统一战线的建立

统一战线是中国共产党克敌致胜的成功经验之一,在恢复和发展中日友好关系的实践中,廖承志作为中国政府对日工作最高负责人,成功的运用了这一经验。他大力发展民间外交,使更多的日本人了解中国,造就了民间交往的潮流,为中日邦交正常化奠定了基础。在这种思想指导下,廖承志广交朋友,通过与日本各界的广泛接触,建立了中日友好事业最广泛的统一战线,不断推动着中日友好事业之车向邦交正常化前行。     

Daily links between school problems and youth perceptions of interactions with parents: A diary study of school‐to‐home spillover

This study examined how academic and peer problems at school are linked to family interactions at home on the same day, using eight consecutive weeks of daily diary data collected from early adolescents (60% female; M age = 11.28, SD = 1.50), mothers and fathers in 47 families. On days when children reported more academic problems at school, they, but not their parents, reported less warmth and more conflict with mothers, and more conflict and less time spent around fathers. These effects were partially explained by same‐day child reports of higher negative mood. Peer problems were less consistently associated with parent‐child interactions over and above the effects of academic problems that day. A one‐time measure of parent‐child relationship quality moderated several daily associations, such that the same‐day link between school problems and child‐report of family interactions was stronger among children who were closer to their parents.     

Binary Mixtures of Polycyclic Aromatic Hydrocarbons Display Nonadditive Mixture Interactions in an In Vitro Liver Cell Model

Polycyclic aromatic hydrocarbons (PAHs) have been labeled contaminants of concern due to their carcinogenic potential, insufficient toxicological data, environmental ubiquity, and inconsistencies in the composition of environmental mixtures. The Environmental Protection Agency is reevaluating current methods for assessing the toxicity of PAHs, including the assumption of toxic additivity in mixtures. This study was aimed at testing mixture interactions through in vitro cell culture experimentation, and modeling the toxicity using quantitative structure‐activity relationships (QSAR). Clone‐9 rat liver cells were used to analyze cellular proliferation, viability, and genotoxicity of 15 PAHs in single doses and binary mixtures. Tests revealed that many mixtures have nonadditive toxicity, but display varying mixture effects depending on the mixture composition. Many mixtures displayed antagonism, similar to other published studies. QSARs were then developed using the genetic function approximation algorithm to predict toxic activity both in single PAH congeners and in binary mixtures. Effective concentrations inhibiting 50% of the cell populations were modeled, with R² = 0.90, 0.99, and 0.84, respectively. The QSAR mixture algorithms were then adjusted to account for the observed mixture interactions as well as the mixture composition (ratios) to assess the feasibility of QSARs for mixtures. Based on these results, toxic addition is improbable and therefore environmental PAH mixtures are likely to see nonadditive responses when complex interactions occur between components. Furthermore, QSAR may be a useful tool to help bridge these data gaps surrounding the assessment of human health risks that are associated with PAH exposures.     

Effects of short-term role overload on marital interactions

This paper examines the effect of role overload on marital interactions using a within-person, time series approach. It is proposed that role overload is indirectly related to marital interactions most strongly via anxiety but also via depression. Twenty-three couples completed daily reports of overload, depression and anxiety and weekly reports of their own and their spouse's marital behaviour over 4 months. After controlling for autocorrelation, role overload was found to affect directly both depression and anxiety, but its effect on anxiety was much stronger than that on depression. Anxiety predicted withdrawal from marital interactions, but not anger, and depression predicted anger, but not withdrawal. Also, spouses' perceptions of their partners' behaviour reflected the partners' self-reported behaviour, and spouses' perceptions predicted their own behaviour.     

Marginal Nested Interactions for Contingency Tables

We introduce a new definition of generalized marginal interactions, called marginal nested interactions, which includes baseline, local, continuation and reverse continuation logits and odds ratios as special cases. The significant aspect of this definition is the inclusion of new types of logits and odds ratios that can handle non-ordinal, ordinal and partially ordered categorical variables in a flexible and appropriate way. It is proved also that the marginal nested interactions define a saturated model of a multi-way contingency table.