More on least squares estimation of the transition matrix in a stationary first-order markov process from sample proportions data

Miller suggested ordinary least squares estimation of a constant transition matrix; Madansky proposed a relatively more efficient weighted least squares estimator which corrects for heteroscedasticity. In this paper an efficient generalized least squares estimator is derived which utilizes the entire covariance matrix of the distrubances. This estimator satisfies the condition that each row of the transition matrix must sum to unity. Madansky noted that estimates of the variances could be negative; a method for obtaining consistent non-negative estimates of the variances is suggested in this paper. The technique is applied to the hypothetical sample data used by Miller and Madansky.I am indebted to a referee for his thoughtful suggestions on content and style.     

Outpatient benefits for mental health services in Medicare. Alignment with the private sector?

Revision of Medicare's benefit for outpatient mental health care is long overdue. The Omnibus Reconciliation Act of 1987 expands the covered limit to $2,200 (from the $500 set in 1966) but retains the 50% coinsurance requirement for beneficiaries. There are several strong arguments supporting further changes in the benefit to reduce the coinsurance and include psychologists as covered providers. These are need among the elderly, changes in Medicare's inpatient reimbursement system, and innovations in treatment. Outpatient mental health care is a very small portion of Medicare expenditures, amounting to less than .1% of total costs. Using data from the Bureau of Data Management and Strategy at the Health Care Financing Administration (HCFA), it was estimated that $41.8 million was paid by HCFA for outpatient mental health care in fiscal year 1984. This article estimates the costs to Medicare and beneficiaries of reducing the coinsurance to 20% and including psychologists as eligible providers.     

Side-effect actions,acting for a reason,and acting intentionally

What is the relation between acting intentionally and acting for a reason? While this question has generated a considerable amount of debate in the philosophy of action, on one point there has been a virtual consensus: actions performed for a reason are necessarily intentional. Recently, this consensus has been challenged by Joshua Knobe and Sean Kelly, who argue against it on the basis of empirical evidence concerning the ways in which ordinary speakers of the English language describe and explain certain side-effect actions. Knobe and Kelly's argument is of interest not only because it challenges a widely accepted philosophical thesis on the basis of experimental evidence, but also because it indirectly raises an important and largely neglected question, the question of whether or in what sense an agent can perform a side-effect action for a reason. In this article, I address this question and provide a positive answer to it. Specifically, I argue that agents act for a reason whenever they perform side-effect actions as trade-offs. Thus, I claim that there are three distinct types of rational action: actions performed as ends in themselves, actions performed as means to further ends, and side-effect actions performed as trade-offs. Given this multiplicity of types of rational action, the question of whether or not actions performed for a reason are necessarily intentional is in need of refinement. The more specific question that lies at the heart of this article is whether or not side-effect actions performed as trade-offs are necessarily intentional. I conclude that, contrary to what Knobe and Kelly suggest, the question remains open.     

Principles for Effective Asynchronous Online Instruction in Religious Studies

Asynchronous online instruction has become increasingly popular in the field of religious studies. However, despite voluminous research on online learning in general and numerous articles on online theological instruction, there has been little discussion of how to effectively design and deliver online undergraduate courses in religious studies. Drawing on recent research, experiences teaching and learning online, and interviews with colleagues, this paper discusses key principles of effective online instruction. It recommends instructors focus on humanizing their course website, “chunking” their course content, making their approach to the study of religion clear, structuring and monitoring online discussions, prioritizing prompt and constructive feedback, and making course material relevant to learners.     

An All-new Timeless Truth

Donald Lopez argues that we should reject the narrative of compatibility between Buddhism and science as any apparent compatibility is achieved through a process of propositional compromise that sacrifices Buddhism’s distinctive content. This conclusion puts tension on the project within Buddhist modernism to formulate a Buddhism that functions within or alongside modern scientific paradigms. Lopez suggests that we should abandon this project, lest Buddhism should be demythologised away to nothing. While agreeing with Lopez I argue that his conclusion only holds under a particular epistemological assumption that is at odds with the Madhyamaka-Prāsa?gika philosophy of ?ūnyatā. I will argue, therefore, that a Madhyamaka analysis of the tensions in Buddhist modernism opens up the possibility of a frictionless pluralism between Buddhism and science. This resolution can only be achieved, however, if Madhyamaka Buddhists are willing to make a clear distinction between their Buddhism and their Madhyamaka attitude towards that Buddhism.     

Effects of stressful life events on human brain structure: a longitudinal voxel-based morphometry study

Although stressful life events (SLEs) have been associated with an increased risk of illness and mental disorder, their impact on brain anatomy remains poorly understood. Using a longitudinal design, we tested the hypothesis that SLEs are significantly associated with changes in gray matter volume (GMV) in brain regions previously implicated in post-traumatic stress disorder (PTSD) in a group of clinically healthy adults. Magnetic resonance imaging was used to acquire an anatomical scan from 26 subjects (13 males and 13 females; mean age ± SD: 25.2 ± 4.3 years), with no psychiatric diagnosis, at two time points with a 3-month interval. Voxel-based morphometry was used to examine an association between SLEs and gray matter changes during this period. The number of SLEs was associated with a decrease in GMV in the anterior cingulate, hippocampus, and parahippocampal gyrus (p < 0.001). In contrast, there were no areas where the number of SLEs was associated with an increase in GMV. These results provide evidence that, in adults with no formal psychiatric diagnosis, SLEs are associated with GMV decreases in a subset of regions implicated in PTSD, and that these alterations can be observed within a period as short as 3 months.