Maximum likelihood estimation of the joint covariance matrix for sections of tests given to distinct samples with application to test equating

Consider an old testX consisting ofs sections and two new testsY andZ similar toX consisting ofp andq sections respectively. All subjects are given testX plus two variable sections from either testY orZ. Different pairings of variable sections are given to each subsample of subjects. We present a method of estimating the covariance matrix of the combined test (X ₁, ...,X _s ,Y ₁, ...,Y _p ,Z ₁, ...,Z _q ) and describe an application of these estimation techniques to linear, observed-score, test equating.The author is indebted to Paul W. Holland and Donald B. Rubin for their encouragement and many helpful comments and suggestions that contributed significantly to the development of this paper.This research was supported by the Program Statistics Research Project of the ETS Research Statistics Group.     

Rich deontic logic: a preliminary study

This paper begins the development of new types of deontic operators, particularly ones whose semantic characterization is based on models with forward-branching time. In such models, supplemented by a choice function to model human agency, and an obligation function to introduce normative features, it is possible to develop a rich language with a variety of obligation operators, differing from one another in how they relate to time, and to the causal conditions, the causal consequences, and the logical consequences of actions. We approach these concepts making extensive use of the notion of a transition, as introduced in [M. Xu, Synthese 112 (1997) 137].     

Split identity: intransitive judgments of the identity of objects

Identity is a transitive relation, according to all standard accounts. Necessarily, if x = y and y = z, then x = z. However, people sometimes say that two objects, x and z, are the same as a third, y, even when x and z have different properties (thus, x = y and y = z, but x ≠ z). In the present experiments, participants read stories about an iceberg that breaks into two icebergs, one to the east and the other to the west. Many participants (32–54%, in baseline conditions across experiments) decided that both successors were the original iceberg, despite the different spatial locations of the successors. Experiment 1 shows that this tendency is not due to participants failing to understand both to mean both are simultaneously the original. Similarly, Experiment 2 demonstrates that the tendency is not solely due to their interpreting the question to be about properties of the icebergs rather than about the icebergs themselves. Experiments 3 and 4 suggest, instead, that participants may understand Which is the original? to mean Which, in its own right, is entitled to be the original? Emphasizing entitlement increases the number of seemingly intransitive responses, whereas emphasizing the formal properties of identity decreases them.     

Differential Method of Characterizing Gait Strategies From Step Lengths and Frequencies: Strategy of Velocity Modulation

The differential method consists of the analysis of the variation of gait parameters length, frequency, and velocity with respect to their mean values, respectively, ΔL = L — L_m , Δf = f — f_m , and Δv = v – v_m , where L_m , f_m , and v_m represent the mean values of those parameters. Assuming that the strategy of modulation of velocity implies that L and f are functions of v and that statistical analyses of ratios ΔL/Δv and Δf/Δv have established that there is a very significant linear correlation, close to 1, between those ratios, the mathematical procedure allows one to determine the equation of step length, L = a · f + b · v + K, where a and b are the slope and the intercept of the linear regression and K is close to L_m . The equation was experimentally tested on 140 gait sequences performed by 6 participants and for gait velocities ranging from 0.6 to 2.2 m/s and was found to be very representative of all individual values. The differential method provides another way of using the derivative of velocity, v = L·f, to characterize the strategy of velocity modulation, which then permits one to determine the linear equation of velocity, v = f · L_m + L · f_m — L_m · f_m , and to show that the respective parts played by each parameter in the progression velocity are approximately equal. The author establishes the uniqueness of the different linear adjustments and discusses the differential method's own modes of use, that is, interindividually or globally.     

A necessity illusion for modal inferences from conditionals

Three experiments examined how people reason about what is possible or necessary when a conditional is true. Participants were asked to indicate whether it was necessary, possible or impossible for a specific instance to conform to one of the truth-table cases (pq, p¬q, ¬pq and ¬p¬q) (¬ = not), given the truth of the conditional. It was found that most participants, inconsistently, judged the pq case as necessary but the ¬pq or ¬p¬q cases as possible. Logically, these two kinds of judgments are contradictory. Moreover, a true conditional doesn’t imply that a specific instance under the conditional must be pq . Therefore, people demonstrate a necessity illusion for pq cases which contradicts their commitment to the possibility of ¬pq or ¬p¬q cases. Existing accounts of conditionals are unable to explain the contradiction and the necessity illusion. We propose an inference dissociation account and explore the theoretical implications of this necessity illusion.     

The debate on the yan-yi relation in Chinese philosophy: Reconstruction and comments

The debate on the yan-yi relation was carried out by Chinese philosophers collectively, and the principles and methods in the debate still belong to a living tradition of Chinese philosophy. From Yijing (Book of Changes), Lunyu (Analects), Laozi and Zhuangzi to Wang Bi, “yi” which cannot be expressed fully by yan (language), is not only “idea” or “meaning” in the human mind, but is also some kind of ontological existence, which is beyond yan and emblematic symbols, and unspeakable. Thus, the debate on the yan-yi relation refers firstly to metaphysics, secondly to moral philosophy, and then to epistemology and philosophy of language. Guided by this view, this paper recalls the source of the debate on the yan-yi relation to Yijing and Lunyu, distinguishes four meanings of “yi” in Chinese philosophy, and reconstructs three arguments. These arguments are the “yan cannot express yi fully” argument, “forget yan once you get yi” argument, and “yan can express yi fully” argument. Finally, this paper exposes and comments on those principles, methods and the general tendency shown in the debate from the following five aspects: starting point, value-preference, methodology, texts (papers and books), and influences. __________ Translated from Jianghai Xuekan 江海学刊 (Jianghai Academic Studies), 2005 (3)     

Autonomy and defensiveness: Experimentally increasing adaptive responses to health-risk information via priming and self-affirmation

Health information is often ineffective in motivating health-behaviour change. One way to improve information effectiveness might be to highlight autonomy, which is associated with less defensiveness and more adaptive psychological functioning. Three studies assessed whether experimentally elevating autonomy led to adaptive responses to risk information about alcohol consumption. In Study 1 (N?=?104), participants completed either an autonomy prime or a neutral prime task and read either risk information about the dangers of alcohol consumption or neutral information. Among high-risk participants in the autonomy prime condition, those who read risk information reported greater autonomous motivation towards moderate alcohol consumption than did those in the neutral information condition. Study 2 (N?=?157) compared two types of autonomy prime tasks with a neutral condition. For high-risk participants who read risk information, the autonomy prime tasks elicited greater autonomous motivation, more positive attitudes and greater intentions to drink in moderation than did the neutral prime task. Study 3 (N?=?130) found that for high-risk participants who read risk information, autonomy prime participants reported less subsequent alcohol consumption than did neutral prime participants. The results are discussed in terms of the benefits of autonomy for adaptive responses to risk information.     

Understanding Asian parenting from a Rasch perspective

This study examines the factor structure of Asian child‐reported parenting from a Rasch perspective. Participants comprised 291 sixth graders (11 to 13 years) in Singapore. Six different aspects of parenting were measured, namely warmth, rejection, structure, chaos, autonomy support, and coercion. Rasch Analysis was used to transform ordinal data into linear measures; category functioning was examined; residual‐based principal components were analysed; differential item functioning was assessed; and items and subjects that were misfitting were removed. Results showed that parenting comprised six dimensions, namely warmth, autonomy support, structure‐control, structure‐warmth, chaos, and negative parenting. The findings suggest that it is important for Asian parents to provide guidance to their children (in structure‐control and structure‐warmth) and reaffirms the relevance of warmth in Asian parenting.     

ZYGON 'S DUAL MISSION

The first mission of Zygon has been the exploration of the relation between Religion and Science. The second, I suggest, has been consideration of the relation between Ethics and Technology. Some articles have given attention to the relation of Religion to Ethics, or that of Science to Technology. The interaction of Ethics and Science, and that of Religion and Technology, are also significant. I give examples of articles or symposia in each of these categories and close with great hope for Zygon's future.     

The duplication of love's reasons

If X loves Y does it follow that X has reasons to love a physiologically exact replacement for Y? Can love's reasons be duplicated? One response to the problem is to suggest that X lacks reasons for loving such a duplicate because the reason-conferring properties of Y cannot be fully duplicated. But a concern, played upon by Derek Parfit, is that this response may result from a failure to take account of the psychological pressures of an actual duplication scenario. In the face of the actual loss of a loved one and the subsequent appearance of a duplicate, how could we resist the inclination to love? Drawing upon duplication scenarios from Parfit and from Stanislaw Lem's Solaris, this paper will argue that there could be reasons for X to come to love a duplicate of Y but that these would not be identical with the reasons that X had (and may still have) to love Y. Nor (in the case of an agent with a normal causal history) could they be reasons for a love that violates the requirement that love is a response to a relationship and therefore takes time to emerge.     

Book Reviews

Books reviewed: David C. Mitchell, The Message of the Psalter: An Eschatological Programme in the Book of Psalms Anthony R. Ceresko, Introduction to Old Testament Wisdom: A Spirituality for Liberation Roland E. Murphy, Proverbs (Word Biblical Commentary 22) Richard J. Coggins, Sirach (Guides to Apocrypha and Pseudepigrapha) Alastair Hamilton, The Apocryphal Apocalypse: The Reception of the Second Book of Esdras (4 Ezra) from the Renaissance to the Enlightenment Gabriele Boccaccini, Beyond the Essene Hypothesis: The Parting of the Ways between Qumran and Enochic Judaism Gerd Theissen, A Theory of Primitive Christian Religion Maurice Wiles, Reason to Believe Norman Kretzmann, The Metaphysics of Creation: Aquinas’ Natural Theology in ‘Summa Contra Gentiles’ II. John Bowlin, Contingency and Fortune in Aquinas’s Ethics Philip Lyndon Reynolds, Food and the Body: Some Peculiar Questions in High Medieval Theology John Booty, Reflections on the Theology of Richard Hooker: An Elizabethan Addresses Modern Anglicanism Stanley J. Grenz and John R. Franke, Beyond Foundationalism: Shaping Theology in a Postmodern Context F. LeRon Shults, The Postfoundationalist Task of Theology: Wolfhart Pannenberg and the New Theological Rationality. Charles Miller, The Gift of the World: An Introduction to the Theology of Dumitru St?niloae Emil Bartos, Deification in Eastern Orthodox Theology: An Evaluation and Critique of the Theology of Dumitru St?niloae Paul McPartlan, Sacrament of Salvation: An Introduction to Eucharistic Ecclesiology Sarah Curtis, Educating the Faithful Jolyon Mitchell, Visually Speaking: Radio and the Renaissance of Preaching T. G. Plante.(ed.), Bless Me Father for I Have Sinned: Perspectives on Sexual Abuse Committed by Roman Catholic Priests John Skorupski, Ethical Explorations Anne Thomson, Critical Reasoning in Ethics: A Practical Introduction Richard C. Bayer, Capitalism and Christianity: The Possibility of Christian Personalism John Douglas Bishop.(ed.), Ethics and Capitalism David E. Jenkins, Market Whys and Human Wherefores: Thinking Again about Markets, Politics and People Ilham Dilman, Free Will: An Historical and Philosophical Introduction Mark Joyal, The Platonic ‘Theages’: An Introduction, Commentary and Critical Edition     

Two Shi‘i Jurisprudential Methodologies to Address Medical and Bioethical Challenges: Traditional Ijtihād and Foundational Ijtihād

The legal‐ethical dynamism in Islamic law which allows it to respond to the challenges of modernity is said to reside in the institution of ijtihād (independent legal thinking and hermeneutics). However, jurists like Mohsen Kadivar and Ayatollah Fa?lalla have argued that the “traditional ijtihād” paradigm has reached its limits of flexibility as it allows for only minor adaptations and lacks a rigorous methodology because of its reliance on vague and highly subjective juridical devices such as public welfare (ma?la?a), imperative necessity (?arūra), emergency (i?tirār), need (?āja), averting difficulty (‘usr) and distress (?araj), hardship (mashaqqa), and harm (?arar) without interrogating the fundamentals (u?ūl) of ijtihād. In contrast, in the “foundational ijtihād” model theology, ethics, intellect, epistemology, linguistics, hermeneutics, modern sciences, history, cosmology, anthropology, and the sources of Islamic legal theory (u?ūl al‐fiqh) interact with one another to obtain resolutions that are just and non‐discriminatory.     

How Do Children Restrict Their Linguistic Generalizations? An (Un‐)Grammaticality Judgment Study

A paradox at the heart of language acquisition research is that, to achieve adult‐like competence, children must acquire the ability to generalize verbs into non‐attested structures, while avoiding utterances that are deemed ungrammatical by native speakers. For example, children must learn that, to denote the reversal of an action, un‐ can be added to many verbs, but not all (e.g., roll/unroll; close/*unclose). This study compared theoretical accounts of how this is done. Children aged 5–6 (N = 18), 9–10 (N = 18), and adults (N = 18) rated the acceptability of un‐ prefixed forms of 48 verbs (and, as a control, bare forms). Across verbs, a negative correlation was observed between the acceptability of ungrammatical un‐ prefixed forms (e.g., *unclose) and the frequency of (a) the bare form and (b) alternative forms (e.g., open), supporting the entrenchment and pre‐emption hypotheses, respectively. Independent ratings of the extent to which verbs instantiate the semantic properties characteristic of a hypothesized semantic cryptotype for un‐ prefixation were a significant positive predictor of acceptability, for all age groups. The relative importance of each factor differed for attested and unattested un‐ forms and also varied with age. The findings are interpreted in the context of a new hybrid account designed to incorporate the three factors of entrenchment, pre‐emption, and verb semantics.     

Beyond inference by eye: Statistical and graphing practices in JEAB, 1992‐2017

Debates about the utility of p values and correct ways to analyze data have inspired new guidelines on statistical inference by the American Psychological Association (APA) and changes in the way results are reported in other scientific journals, but their impact on the Journal of the Experimental Analysis of Behavior (JEAB) has not previously been evaluated. A content analysis of empirical articles published in JEAB between 1992 and 2017 investigated whether statistical and graphing practices changed during that time period. The likelihood that a JEAB article reported a null hypothesis significance test, included a confidence interval, or depicted at least one figure with error bars has increased over time. Features of graphs in JEAB, including the proportion depicting single‐subject data, have not changed systematically during the same period. Statistics and graphing trends in JEAB largely paralleled those in mainstream psychology journals, but there was no evidence that changes to APA style had any direct impact on JEAB. In the future, the onus will continue to be on authors, reviewers and editors to ensure that statistical and graphing practices in JEAB continue to evolve without interfering with characteristics that set the journal apart from other scientific journals.     

The Point of Scientificity,the Fall of the Epistemological Dominos,and the End of the Field of Educational Administration

The point of scientificity, or pos,represents a place in history whereeducational administration was founded as ascience. A pos creates a field of memoryand a field of studies. A pos isepistemologically sustained in its claim forscientific status by a line of demarcation orlod. A lod is supported by truthclaims based on various forms ofcorrespondence. As these forms have beeninterrogated and abandoned, correspondence hasgiven way to coherentism and finally to testsof falsification. As falsification has shownto contain serious flaws when compared to theactual history of scientific discoveries, theentire project of a distinct and unitaryfield known as educational administration isseriously cast into doubt. Contemporaryexaminations in educational administrationdiscourse show that even when the lod hasbeen undermined by epistemological shifts, theinitial pos has remained to supportclaims regarding the project of a ``science ofleadership.' The analysis contained in thisarticle show, however, that when claims of thelod are demonstrably unsustainable, theinitial pos must be similarly abandoned. With that collapse the concept of a fieldis likewise effaced. The epistemologicalalternative is to envision fields ofstudy which do not require a lod, excepton a longitudinal basis to ascertain whether aresearch program shaped and sustained by it isprogressive or regressive. In short, there areno aprori meta-criteria to separate sciencefrom non-science in educationaladministration.     

Memory conjunction clusters: Influence of familiarity and recollection

In the memory conjunction paradigm, the number of times that constituents of conjunction lures were studied and the method of presentation were varied. In two experiments, participants were presented with eight parent items that could be recombined at test to form a conjunction lure. The constituents that were shared between the parent items and the conjunction lures were either presented in the same words (e.g., blackmail and jailbird presented four times each for the conjunction lure blackbird) or in different words (e.g., the targets footstool, footlocker, foothill, footbridge, baseball, softball, basketball, and golfball for the conjunction lure football). In both experiments, rates of false recognition were higher in the Different condition as opposed to the Same condition. These results provide evidence that participants in the Same condition were able to utilise a recall-to-reject strategy by remembering the repeatedly presented parent word. In the Different condition, participants were not able to utilise that strategy and instead relied on the familiarity of the repeatedly presented constituents which led to higher rates of false recognition.     

Difference to One: A Nuanced Early Chinese Account of Tong

The graph tong同and its associated concepts, such as da-tong (Great tong大同) and xuan-tong (mystic or dark tong玄同), have played important roles in the development of Chinese philosophy. Yet tong has received scant attention from either western or eastern scholarships. This paper is a first attempt to remedy such regret. Unlike usual understandings of tong as sameness or unity, this paper presents a nuanced account from early China, that is, ‘difference to one,’ a definition from the Mozi墨子. This definition can be supported from etymological, textual, and lexical evidence. ‘Difference to one’ should not be solely attributed to a Mohist understanding; it in fact represents a common understanding of tong across philosophical streams in early China. This nuanced account provides new insights into the concept of tong in early philosophical texts, and furthermore breaks solid grounds for further studies of tong and its associated concepts.     

Knowledge despite falsehood

I examine the claim, made by some authors, that we sometimes acquire knowledge from falsehood. I focus on two representative cases in which a subject S infers a proposition q from a false proposition p. If S knows that q, I argue, S's false belief that p is not essential to S's cognition. S's knowledge is instead due to S's belief that p′, a proposition in the neighbourhood of p that S (dispositionally) believes (and knows). S thus knows despite her false belief. The widely accepted and plausible principle that inferential knowledge requires known premises is unscathed.     

Semantic Information and the Correctness Theory of Truth

Semantic information is usually supposed to satisfy the veridicality thesis: p qualifies as semantic information only if p is true. However, what it means for semantic information to be true is often left implicit, with correspondentist interpretations representing the most popular, default option. The article develops an alternative approach, namely a correctness theory of truth (CTT) for semantic information. This is meant as a contribution not only to the philosophy of information but also to the philosophical debate on the nature of truth. After the introduction, in Sect. 2, semantic information is shown to be translatable into propositional semantic information (i). In Sect. 3, i is polarised into a query (Q) and a result (R), qualified by a specific context, a level of abstraction and a purpose. This polarization is normalised in Sect. 4, where [Q + R] is transformed into a Boolean question and its relative yes/no answer [Q + A]. This completes the reduction of the truth of i to the correctness of A. In Sects. 5 and 6, it is argued that (1) A is the correct answer to Q if and only if (2) A correctly saturates Q by verifying and validating it (in the computer science’s sense of “verification” and “validation”); that (2) is the case if and only if (3) [Q + A] generates an adequate model (m) of the relevant system (s) identified by Q; that (3) is the case if and only if (4) m is a proxy of s (in the computer science’s sense of “proxy”) and (5) proximal access to m commutes with the distal access to s (in the category theory’s sense of “commutation”); and that (5) is the case if and only if (6) reading/writing (accessing, in the computer science’s technical sense of the term) m enables one to read/write (access) s. Sect. 7 provides some further clarifications about CTT, in the light of semantic paradoxes. Section 8 draws a general conclusion about the nature of CTT as a theory for systems designers not just systems users. In the course of the article all technical expressions from computer science are explained.     

FROM EVOLUTIONARY CONSCIOUSNESS TO CONSCIOUS EVOLUTION: ARE WE IN CONTROL?

This article discusses implicit assumptions in the conference theme to understand the complexity involved in trying to gain control of globalization, in particular: (1) We, (2) being in control (not only in cybernetic way) and (3) globalization. I introduce distinctions between single conscious agents, systems of conscious agents, and emergent we, as a collective entity understood as a Collective Being (a complex, multidimensional society to be studied with multiple, systemic knowledge) that has collective consciousness. The focus is the issue of being in control. This issue is understood as the ability to design and manage emergent processes of development.