On an algorithm for solving Fredholm integrals of the first kind

Statistics and Computing - In this paper we use an iterative algorithm for solving Fredholm equations of the first kind. The basic algorithm and convergence properties are known under certain...     

Discussion on “A comparison of Monte Carlo methods for computing marginal likelihoods of item response theory models”

In this discussion, the sensitivity of the result by the choice of parameters a and b in one of approaches reviewed by the authors to calculate the marginal likelihood for 2 parameter logistic item response theory model is investigated using a small simulation study.     

Sexual Orientation and Sexual Behavior among Latino and Asian Americans: Implications for Unfair Treatment and Psychological Distress

Research on the sexuality of Asians and Latinos in the United States has been sparse, and the studies that have been done suffer from a number of limitations. Using data from the National Latino and Asian American Study (2002–2003), this study examined self-identified sexual orientation and self-reported sexual behavior among Latinos (n = 2,554; age: M = 38.1, SE = 0.5) and Asians (n = 2,095; age: M = 41.5, SE = 0.8). This study also investigated implications for unfair treatment and psychological distress among sexual minorities identified in the sample. Results indicated heterogeneity in responses to items assessing sexual orientation and sexual behavior including differences in the adoption of lesbian, gay, or bisexual (LGB) identity by gender, ethnicity, nativity, and socioeconomic status. LGB sexual minorities reported higher levels of unfair treatment and psychological distress compared to their non-LGB-identified sexual minority counterparts, and unfair treatment was positively associated with psychological distress. Results highlight the need to consider multiple demographic factors in assessing sexuality, and also suggest that measures of both self-identified sexual orientation and sexual behavior should be collected. In addition, findings provide support for the deleterious influence of unfair treatment among Asians and Latinos in the United States.     

Parental Divorce and Children’s Schooling in Rural Malawi

A growing body of literature has examined the impact of different types of family structures on children’s schooling in sub-Saharan Africa. These studies have investigated how living arrangements, gender of the household head, parental death, and paternal migration are related to schooling. Although many sub-Saharan African countries have high divorce rates, very few studies have explored the impact of parental divorce on children’s schooling. The present study uses three waves of data from the Malawi Longitudinal Study of Families and Health (MLSFH) to investigate the effect of parental divorce on children’s schooling and the possible mechanisms driving this relationship. Unlike prior studies, this study uses child-level fixed-effects models to control for selection into divorce. Results show that parental divorce is associated with lower grade attainment and a larger schooling gap, defined as the number of years a child is behind in school (among children currently attending school). Although no association exists between parental divorce and current school attendance, girls affected by divorce are significantly less likely to be attending school. Differences in economic resources, maternal coresidence, or maternal psychological well-being do not explain the relationship between parental divorce and children’s schooling.     

SOCIOLOGY IN AN ERA OF FRAGMENTATION:From the Sociology of Knowledge to the Philosophy of Science, and Back Again

In this article we revisit Alvin Gouldner's The Coming Crisis of Western Sociology (1970). In part, this article is an attempt to apply Gouldner's own lessons about the sociology of knowledge to his own work, situating it with respect to the dominant epistemological unconscious of late 1960s American sociology as well as the broader historical context of a still-vibrant Fordist mode of societalization. Gouldner's critique of positivism was limited because he was still partially caught up within the dominant epistemological framework in American sociology at that time, a formation we call methodological positivism. With thirty years of hindsight, it is not surprising that contemporary readers interested in following up Gouldner's call for a reflexive sociology of knowledge will find certain aspects of his own program unsatisfactory. We propose an alternative sociology of knowledge based on a more explicit philosophy of scientific understanding, namely, contemporary critical realism. We also trace the vicissitudes of the trope of a "crisis in sociology" which Gouldner unleashed into the world and unpack the tensions between the "western" sociology referred to in the book's title and Gouldner's actual focus on the United States.     

Comparisons of computational methods for clustered binary data

Clustered binary data are common in medical research and can be fitted to the logistic regression model with random effects which belongs to a wider class of models called the generalized linear mixed model. The likelihood-based estimation of model parameters often has to handle intractable integration which leads to several estimation methods to overcome such difficulty. The penalized quasi-likelihood (PQL) method is the one that is very popular and computationally efficient in most cases. The expectation–maximization (EM) algorithm allows to estimate maximum-likelihood estimates, but requires to compute possibly intractable integration in the E-step. The variants of the EM algorithm to evaluate the E-step are introduced. The Monte Carlo EM (MCEM) method computes the E-step by approximating the expectation using Monte Carlo samples, while the Modified EM (MEM) method computes the E-step by approximating the expectation using the Laplace's method. All these methods involve several steps of approximation so that corresponding estimates of model parameters contain inevitable errors (large or small) induced by approximation. Understanding and quantifying discrepancy theoretically is difficult due to the complexity of approximations in each method, even though the focus is on clustered binary data. As an alternative competing computational method, we consider a non-parametric maximum-likelihood (NPML) method as well. We review and compare the PQL, MCEM, MEM and NPML methods for clustered binary data via simulation study, which will be useful for researchers when choosing an estimation method for their analysis.     

试论汉魏佛教对王弼玄学思想的影响——以几种思维方式和时代状况的分析为中心

一般认为,玄学思想对佛教产生了影响,但玄学并未受到佛教的影响。但是,从思想家王弼的观念论、一回性和志向究竟的思维类似于当时流行的佛教这一事实来看,无法排除汉魏佛教对王弼玄觉察思想产生影响的可能性。