Distance stability analysis in multidimensional scaling using the jackknife method

Stability or sensitivity analysis is an important topic in data analysis that has received little attention in the application of multidimensional scaling (MDS), for which the only available approaches are given in terms of a coordinate‐based analytical jackknife methodology. Although in MDS the prime interest is in assessing the stability of the points in the configuration, this methodology may be influenced by imprecisions resulting from the inherently necessary Procrustes method. This paper proposes an analytical distance‐based jackknife procedure to study stability and cross‐validation in MDS in terms of the jackknife distances, which is not influenced by the Procrustes method. For each object, the corresponding jackknife estimated points are considered as naturally clustered points, and stability and cross‐validation are analysed in terms of the MDS distances arising from the jackknife procedure, on the basis of a weighted cluster‐MDS algorithm. A jackknife‐relevant configuration is also proposed for cross‐validation in terms of coordinates, in a cluster‐MDS framework.     

Developing new online calibration methods for multidimensional computerized adaptive testing

Multidimensional computerized adaptive testing (MCAT) has received increasing attention over the past few years in educational measurement. Like all other formats of CAT, item replenishment is an essential part of MCAT for its item bank maintenance and management, which governs retiring overexposed or obsolete items over time and replacing them with new ones. Moreover, calibration precision of the new items will directly affect the estimation accuracy of examinees’ ability vectors. In unidimensional CAT (UCAT) and cognitive diagnostic CAT, online calibration techniques have been developed to effectively calibrate new items. However, there has been very little discussion of online calibration in MCAT in the literature. Thus, this paper proposes new online calibration methods for MCAT based upon some popular methods used in UCAT. Three representative methods, Method A, the ‘one EM cycle’ method and the ‘multiple EM cycles’ method, are generalized to MCAT. Three simulation studies were conducted to compare the three new methods by manipulating three factors (test length, item bank design, and level of correlation between coordinate dimensions). The results showed that all the new methods were able to recover the item parameters accurately, and the adaptive online calibration designs showed some improvements compared to the random design under most conditions.     

Analysis of categorical moderators in mixed‐effects meta‐analysis: Consequences of using pooled versus separate estimates of the residual between‐studies variances

Subgroup analyses allow us to examine the influence of a categorical moderator on the effect size in meta‐analysis. We conducted a simulation study using a dichotomous moderator, and compared the impact of pooled versus separate estimates of the residual between‐studies variance on the statistical performance of the Q _{B (P)} and Q _{B (S)} tests for subgroup analyses assuming a mixed‐effects model. Our results suggested that similar performance can be expected as long as there are at least 20 studies and these are approximately balanced across categories. Conversely, when subgroups were unbalanced, the practical consequences of having heterogeneous residual between‐studies variances were more evident, with both tests leading to the wrong statistical conclusion more often than in the conditions with balanced subgroups. A pooled estimate should be preferred for most scenarios, unless the residual between‐studies variances are clearly different and there are enough studies in each category to obtain precise separate estimates.     

Non‐ignorable missingness item response theory models for choice effects in examinee‐selected items

Examinee‐selected item (ESI) design, in which examinees are required to respond to a fixed number of items in a given set, always yields incomplete data (i.e., when only the selected items are answered, data are missing for the others) that are likely non‐ignorable in likelihood inference. Standard item response theory (IRT) models become infeasible when ESI data are missing not at random (MNAR). To solve this problem, the authors propose a two‐dimensional IRT model that posits one unidimensional IRT model for observed data and another for nominal selection patterns. The two latent variables are assumed to follow a bivariate normal distribution. In this study, the mirt freeware package was adopted to estimate parameters. The authors conduct an experiment to demonstrate that ESI data are often non‐ignorable and to determine how to apply the new model to the data collected. Two follow‐up simulation studies are conducted to assess the parameter recovery of the new model and the consequences for parameter estimation of ignoring MNAR data. The results of the two simulation studies indicate good parameter recovery of the new model and poor parameter recovery when non‐ignorable missing data were mistakenly treated as ignorable.     

The interaction effect of attentional bias and attentional control on dispositional anxiety among adolescents

Research has shown that children and adolescents with attentional control deficits tend to have high anxiety and exhibit threat‐related selective attentional bias. This study aimed to investigate how positive and negative attentional biases would interact with attentional control on dispositional anxiety. One hundred and twenty participants aged 18 years of age or younger participated in a visual dot‐probe task to measure their attentional bias and completed psychological questionnaires to measure their trait anxiety, and attentional control. Mean reaction times to the probe in milliseconds were used to measure attentional bias. Overall, our participants showed a bigger tendency towards attending to positive emotional stimuli than to negative emotional stimuli. Adolescents with high dispositional anxiety showed poorer attentional control. Regression analyses showed that attentional control interact with negative attentional bias to affect anxiety. For participants with high attentional control, higher negative attentional bias was associated with lower trait anxiety. Trait anxiety was not related to negative attentional bias for participants with low attentional control. Positive attentional bias showed no significant relationship with dispositional anxiety, either alone or in interaction with attentional control. Theoretical and clinical implications of the findings are also discussed.     

Christian Participation and Creative Resistance: Reflecting on Luther's Two‐fold Governance in Muslim‐Majority Malaysia

How can Luther's contribution in theology and lessons arising from the Reformation have any relevance for Christians in Muslim‐majority Malaysia? In this article, I propose that a reflection on Luther's understanding of the so‐called “doctrine of two kingdoms”—better understood as God's two‐fold governance—offers a critical contribution that not only is relevant for the Malaysian Christian community, but also may have intercultural and interreligious implications for dialogue and engagement with the Muslim majority for interreligious solidarity and the common good.     

Coparental Affect,Children's Emotion Dysregulation,and Parent and Child Depressive Symptoms

Children's emotion dysregulation and depressive symptoms are known to be affected by a range of individual (parent, child) and systemic (parent–child, marital, and family) characteristics. The current study builds on this literature by examining the unique role of coparental affect in children's emotion dysregulation, and whether this association mediates the link between parent and child depressive symptoms. Participants were 51 mother–father–child triads with children aged 7 to 12 (M age = 9.24 years). Triads discussed a time when the child felt sad and a time when the child felt happy. Maternal and paternal displays of positive affect were coded, and sequential analyses examined the extent to which parents were congruent in their displays of positive affect during the emotion discussions. Results indicated that interparental positive affect congruity (IPAC) during the sadness discussion, but not the happiness discussion, uniquely predicted parent‐reported child emotion dysregulation, above and beyond the contributions of child negative affect and parental punitive reactions. The degree of IPAC during the sadness discussion and child emotion dysregulation mediated the association between maternal, but not paternal, depressive symptoms and child depressive symptoms. Findings highlight the unique role of coparental affect in the socialization of sadness in youth and offer initial support for low levels of IPAC as a risk factor for the transmission of depressive symptoms in youth.     

The Primacy of Discourse in the Study of Gender in Family Therapy

Family therapists and scholars increasingly adopt poststructural and postmodern conceptions of social reality, challenging the notion of stable, universal dynamics within family members and families and favoring a view of reality as produced through social interaction. In the study of gender and diversity, many envision differences as social constructed rather than as “residing” in people or groups. There is a growing interest in discourse or people's everyday use of language and how it may reflect and advance interests of dominant groups in a society. Despite this shift from structures to discourse, therapists struggle to locate the dynamics of power in concrete actions and interactions. By leaving undisturbed the social processes through which gendered and other subjectivities and relations of power are produced, therapists may inadvertently become complicit in the very dynamics of power they seek to undermine. In this article, we argue that discourse analysis can help family therapy scholars and practitioners clarify the link between language and power. We present published examples of discourse analytic studies of gender and sexism and examine the relevance of these ideas for family therapy practice and research.