The Manifest Association Structure of the Single-Factor Model: Insights from Partial Correlations

The association structure between manifest variables arising from the single-factor model is investigated using partial correlations. The additional insights to the practitioner provided by partial correlations for detecting a single-factor model are discussed. The parameter space for the partial correlations is presented, as are the patterns of signs in a matrix containing the partial correlations that are not compatible with a single-factor model.     

The Last Will and Testament in Literature: Rupture,Rivalry, and Sometimes Rapprochement from Middlemarch to Lemony Snicket

Although the psychological literature on the last will and testament is sparse, authors of fiction and memoir have filled the gap, writing in rich detail about the impact of wills on families. Henry James, George Eliot, J. R. Ackerley, and others reveal that a will is not only a legal document but a microcosm of family life: a coded and nonnegotiable message from the will's writer to its intended readers, the heirs, delivered at a stressful time and driving home the truth that options for discussion between testator and heirs are now gone, all factors which may intensify the ambivalence of grief and stall its resolution. Among the problems the authors chronicle: reinvigorated sibling rivalries, vindictive testators, and the revelation of traumatic family secrets. Writers also demonstrate how contemporary social factors, such as divorce, second families, and geographic distance between family members, may complicate wills and ensuing family relations. Exemplary wills, or will‐like documents, appear in fiction by Maria Katzenbach and Marilynne Robinson, allowing the living to make rapprochements with the dead, and pointing to testamentary strategies clinicians might develop to lead to a resolution of grief. The depth of these writers' accounts allows clinicians to imagine points at which they might productively intervene in matters pertaining to a will.     

Algebraic Semantics for Deductive Systems

The notion of an algebraic semantics of a deductive system was proposed in [3], and a preliminary study was begun. The focus of [3] was the definition and investigation of algebraizable deductive systems, i.e., the deductive systems that possess an equivalent algebraic semantics. The present paper explores the more general property of possessing an algebraic semantics. While a deductive system can have at most one equivalent algebraic semantics, it may have numerous different algebraic semantics. All of these give rise to an algebraic completeness theorem for the deductive system, but their algebraic properties, unlike those of equivalent algebraic semantics, need not reflect the metalogical properties of the deductive system. Many deductive systems that don't have an equivalent algebraic semantics do possess an algebraic semantics; examples of these phenomena are provided. It is shown that all extensions of a deductive system that possesses an algebraic semantics themselves possess an algebraic semantics. Necessary conditions for the existence of an algebraic semantics are given, and an example of a protoalgebraic deductive system that does not have an algebraic semantics is provided. The mono-unary deductive systems possessing an algebraic semantics are characterized. Finally, weak conditions on a deductive system are formulated that guarantee the existence of an algebraic semantics. These conditions are used to show that various classes of non-algebraizable deductive systems of modal logic, relevance logic and linear logic do possess an algebraic semantics.     

Metaphor and the violent

During the treatment of violent individuals who were, incidentally, highly verbal, the authors noticed that physical assaults were often preceded by the perpetrator s use of metaphors. It was observed that the linguistic metaphors failed to function as ordinary as if devices and became concretised. When this occurred, the perpetrators resorted to a physical attack. In this paper, the authors argue that the capacity to interconnect (which is considered to be the essence of psychic work) is dependent upon what can be conceptualised as a primary mental frame or warp. Distortion of the warp will, in turn, weaken the weaving, or interconnecting function of the ego, which is considered analogous to the interconnecting in linguistic metaphors. Clinical material from the treatment of three violent men (two in psychotherapy and one in analysis) is used to illustrate the hypothesis that the concretised use of metaphor represents a restitutive, but failed attempt to maintain a psychic coherence in the face of an imminent breakdown.     

重参数化的多分属性诊断分类模型及其判准率影响因素

多分属性比传统的二分属性提供更多更详细的诊断反馈信息, 符合对知识技能的多水平要求, 具有较好的应用前景。本文首先介绍了多分属性和多分Q矩阵的概念; 之后重参数化了3个分别满足连接、分离和补偿缩合规则的多分属性诊断分类模型并研究了其判准率影响因素, 结果发现它们的判准率(1)均随多分属性数量的增加而降低, 建议实际使用中不宜高于5个; (2)均随多分属性的最高水平数增加而降低, 建议实际使用中不宜高于4水平; (3)均随多分属性间统计相关性增加而增加, 但影响不大; (4)受多分属性层级结构的影响较大; (4)受被试量影响不大; (5)均随题目数量增加而增加且影响较大。最后, 针对“多分属性与多级评分的关系”和“多分属性与二分属性之间的关系”这两个问题进行了讨论。以期为实证研究者提供相关的理论支持和使用建议。     

等级数据的测量不变性检验及影响因素模拟研究

研究介绍了针对等级数据的模型建构（LRV,潜在反应变量模型）和参数估计（WLSMV）方法,以及在此基础上的测量不变性检验（DIFFTEST）方法,同时采用蒙特卡洛模拟研究方法,考察样本总量大小、组间样本量对比情况、阈值差异程度、量表长度等因素,对DIFTEST进行针对等级数据的测量不变性检验效果的影响情况,以及WLSMV估计方法下的参数复原情况。研究结果发现WLSMV估计方法参数的复原效果很好;DIFFTEST的一类错误概率达到可接受水平,在大样本情况下、组间样本量基本相等、阈值差异程度较大时,DIFFTEST检测力较好。在控制测量不变性遭受破坏的项目个数情况下,随着测验长度的增加,DIFFTEST的检测力下降。     

Algebras and Matrices for Annotated Logics

We study the matrices, reduced matrices and algebras associated to the systems SA_T of structural annotated logics. In previous papers, these systems were proven algebraizable in the finitary case and the class of matrices analyzed here was proven to be a matrix semantics for them.We prove that the equivalent algebraic semantics associated with the systems SA_T are proper quasivarieties, we describe the reduced matrices, the subdirectly irreducible algebras and we give a general decomposition theorem. As a consequence we obtain a decision procedure for these logics.     

False Though Partly True – An Experiment in Logic

We explore in an experimental spirit the prospects for extending classical propositional logic with a new operator P intended to be interpreted when prefixed to a formula as saying that formula in question is at least partly true. The paradigm case of something which is, in the sense envisaged, false though still partly true is a conjunction one of whose conjuncts is false while the other is true. Ideally, we should like such a logic to extend classical logic – or any fragment thereof under consideration – conservatively, to be closed under uniform substitution (of arbitrary formulas for sentence letters or propositional variables), and to allow the substitutivity of provably equivalent formulas salva provabilitate. To varying degrees, we experience some difficulties only with this last (congruentiality) desideratum in the two four-valued logics we end up giving our most extended consideration to.     

A taxonomy of latent structure assumptions for probability matrix decomposition models

A taxonomy of latent structure assumptions (LSAs) for probability matrix decomposition (PMD) models is proposed which includes the original PMD model (Maris, De Boeck, & Van Mechelen, 1996) as well as a three-way extension of the multiple classification latent class model (Maris, 1999). It is shown that PMD models involving different LSAs are actually restricted latent class models with latent variables that depend on some external variables. For parameter estimation a combined approach is proposed that uses both a mode-finding algorithm (EM) and a sampling-based approach (Gibbs sampling). A simulation study is conducted to investigate the extent to which information criteria, specific model checks, and checks for global goodness of fit may help to specify the basic assumptions of the different PMD models. Finally, an application is described with models involving different latent structure assumptions for data on hostile behavior in frustrating situations.Note: The research reported in this paper was partially supported by the Fund for Scientific Research-Flanders (Belgium) (project G.0207.97 awarded to Paul De Boeck and Iven Van Mechelen), and the Research Fund of K.U. Leuven (F/96/6 fellowship to Andrew Gelman, OT/96/10 project awarded to Iven Van Mechelen and GOA/2000/02 awarded to Paul De Boeck and Iven Van Mechelen). We thank Marcel Croon and Kristof Vansteelandt for commenting on an earlier draft of this paper.