A comparison of statistical selection strategies for univariate and bivariate log‐linear models

In this study, eight statistical selection strategies were evaluated for selecting the parameterizations of log‐linear models used to model the distributions of psychometric tests. The selection strategies included significance tests based on four chi‐squared statistics (likelihood ratio, Pearson, Freeman–Tukey, and Cressie–Read) and four additional strategies (Akaike information criterion (AIC), Bayesian information criterion (BIC), consistent Akaike information criterion (CAIC), and a measure attributed to Goodman). The strategies were evaluated in simulations for different log‐linear models of univariate and bivariate test‐score distributions and two sample sizes. Results showed that all eight selection strategies were most accurate for the largest sample size considered. For univariate distributions, the AIC selection strategy was especially accurate for selecting the correct parameterization of a complex log‐linear model and the likelihood ratio chi‐squared selection strategy was the most accurate strategy for selecting the correct parameterization of a relatively simple log‐linear model. For bivariate distributions, the likelihood ratio chi‐squared, Freeman–Tukey chi‐squared, BIC, and CAIC selection strategies had similarly high selection accuracies.     

Corporeal awareness and proprioceptive sense of the phantom

Phantom limb perception almost invariably follows limb amputation, and can be characterized by various corporeal and proprioceptive qualities. We report a study of 283 amputees, which administered a structured questionnaire to systematically determine the relative frequency and nature of various bodily aspects of phantom limb perception. These include the size, shape, posture, and telescoping of the phantom; exteroceptive sensations of itch, touch, pressure, vibration, temperature, and ‘electric’ sensations; and prosthesis embodiment. Phantom limbs were generally found to be characterized by properties that parallel those of the intact body, although with anatomically impossible configurations sometimes being perceived. We suggest that both the internal limb image and limb schemata play a significant role in the continued perception of phantom limbs.     

Social inhibition of return

Responses to a target stimulus can be slower when it appears in the same rather than a different location to a previous event, an effect known as inhibition of return (IOR). Recently, it has been shown that when two people alternate responses to a target, one person’s responses are slower when they are directed to the same locations as their partner’s previous response. The present study sought to investigate this highly novel effect, which we term social IOR (SIOR), in relation to what is known of IOR in individuals performing alone. We found that only a real conspecific can induce SIOR in another person, whereas an animated conspecific cannot. Additionally, SIOR emerges at locations to which a conspecific has been inferred to respond, even when direct observation of his/her responses is prevented. Finally, SIOR can be induced without the abrupt visual transients normally associated with the generation of IOR. These findings suggest that SIOR is the result of stronger activations of IOR mechanisms, or that it is subserved by entirely separate inhibitory processes.     

A randomised worksite comparison of acceptance and commitment therapy and stress inoculation training

In this comparative intervention study, 107 working individuals with above average levels of distress were randomly assigned to one of three conditions: acceptance and commitment therapy (ACT; n = 37); stress inoculation training (SIT; n = 37); or a waitlist control group (n = 33). The interventions were delivered to small groups in the workplace via two half-day training sessions. ACT and SIT were found to be equally effective in reducing psychological distress across a three month assessment period. Mediation analysis indicated that the beneficial impact of ACT on mental health resulted from an increase in psychological flexibility rather than from a change in dysfunctional cognitive content. Contrary to hypothesis, a reduction in dysfunctional cognitions did not mediate change in the SIT condition. Results suggest that the worksite may offer a useful, yet underutilised, arena for testing cognitive-behavioural theories of change.     

Two simple approximations to the distributions of quadratic forms

Many test statistics are asymptotically equivalent to quadratic forms of normal variables, which are further equivalent to with z_i being independent and following N(0,1). Two approximations to the distribution of T have been implemented in popular software and are widely used in evaluating various models. It is important to know how accurate these approximations are when compared to each other and to the exact distribution of T. The paper systematically studies the quality of the two approximations and examines the effect of the λ_i and the degrees of freedom d by analysis and Monte Carlo. The results imply that the adjusted distribution for T can be as good as knowing its exact distribution. When the coefficient of variation of the λ_i is small, the rescaled statistic is also adequate for practical model inference. But comparing T_R against will inflate type I errors when substantial differences exist among the λ_i, especially, when d is also large.     

Bayesian analysis of mixtures in structural equation models with non‐ignorable missing data

Structural equation models (SEMs) have become widely used to determine the interrelationships between latent and observed variables in social, psychological, and behavioural sciences. As heterogeneous data are very common in practical research in these fields, the analysis of mixture models has received a lot of attention in the literature. An important issue in the analysis of mixture SEMs is the presence of missing data, in particular of data missing with a non‐ignorable mechanism. However, only a limited amount of work has been done in analysing mixture SEMs with non‐ignorable missing data. The main objective of this paper is to develop a Bayesian approach for analysing mixture SEMs with an unknown number of components and non‐ignorable missing data. A simulation study shows that Bayesian estimates obtained by the proposed Markov chain Monte Carlo methods are accurate and the Bayes factor computed via a path sampling procedure is useful for identifying the correct number of components, selecting an appropriate missingness mechanism, and investigating various effects of latent variables in the mixture SEMs. A real data set on a study of job satisfaction is used to demonstrate the methodology.     

Engaging God's Mission and Diakonia in Life of Public Spheres: Justification and Economic Justice

Abstract : This article approaches the theology of mission from the point of view of God's mission and diakonia, seeking a missional model of the grace of justification and economic justice in an age of World Christianity. The author engages a hermeneutical‐prophetic side of evangelization—viva vox evangelii—in the public sphere, and demonstrates the intrinsic connection between missio and diakonia Dei in Jesus Christ using a trinitarian‐hermeneutical perspective. The article shows that evangelization as God's mission occupies a central place by taking into account challenges from the postcolonial emancipation in the context of Empire.