Utility independence of multiattribute utility theory is equivalent to standard sequence invariance of conjoint measurement

Utility independence is a central condition in multiattribute utility theory, where attributes of outcomes are aggregated in the context of risk. The aggregation of attributes in the absence of risk is studied in conjoint measurement. In conjoint measurement, standard sequences have been widely used to empirically measure and test utility functions, and to theoretically analyze them. This paper shows that utility independence and standard sequences are closely related: utility independence is equivalent to a standard sequence invariance condition when applied to risk. This simple relation between two widely used conditions in adjacent fields of research is surprising and useful. It facilitates the testing of utility independence because standard sequences are flexible and can avoid cancelation biases that affect direct tests of utility independence. Extensions of our results to nonexpected utility models can now be provided easily. We discuss applications to the measurement of quality-adjusted life-years (QALY) in the health domain.     

TOUCH,SOUND, AND THINGS WITHOUT THE MIND

Abstract: Two notable thought experiments are discussed in this article: Reid's thought experiment about whether a being supplied with tactile sensations alone could acquire the conception of extension and Strawson's thought experiment about whether a being supplied with auditory sensations alone could acquire the conception of mind‐independent objects. The experiments are considered alongside Campbell's argument that only on the so‐called relational view of experience is it possible for experiences to make available to their subjects the concept of mind‐independent objects. I consider how the three issues ought to be construed as raising questions about woulds, coulds, or shoulds—and argue that only on the normative construal of them are they resolvable as intended by the a priori methods of the philosophers who pose them.     

The monadic second-order logic of graphs XV: On a conjecture by D. Seese

A conjecture by D. Seese states that if a set of graphs has a decidable monadic second-order theory, then it is the image of a set of trees under a transformation of relational structures defined by monadic second-order formulas, or equivalently, has bounded clique-width. We prove that this conjecture is true if and only if it is true for the particular cases of bipartite undirected graphs, of directed graphs, of partial orders and of comparability graphs. We also prove that it is true for line graphs, for interval graphs and for partial orders of dimension 2. Our treatment of certain countably infinite graphs uses a representation of countable linear orders by binary trees that can be constructed by monadic second-order formulas. By using a counting argument, we show the intrinsic limits of the methods used here to handle this conjecture.     

Do seductive details do their damage in the context of graph comprehension? Insights from eye movements

In educational research, interesting but irrelevant materials are often considered seductive details, which are suspected to have detrimental effects on learning. Although seductive details have been mostly examined in the context of text comprehension, such elements are also used in graphs (e.g., depicting data points). In the present experiment, we investigated both seductive text and seductive pictures in the context of graph comprehension as well as the interaction of seductive details with spatial working memory capacity (SWMC). We recorded N = 68 students' eye movements, while they analyzed bar graphs in a within‐subject design. Data were analyzed with linear mixed‐effects models. Results show that seductive details did not affect students' graph reading performance but prolonged the task processing time. Eye‐fixation measures revealed that additional processing time was best explained by attention distraction towards the seductive material. SWMC did not affect the presence or the extent of the seductive details effect.     

Hintikka’s Logical Revolution

Hintikka thinks that second-order logic is not pure logic, and because of Gödel’s incompleteness theorems, he suggests that we should liberate ourselves from the mistaken idea that first-order logic is the foundational logic of mathematics. With this background he introduces his independence friendly logic (IFL). In this paper, I argue that approaches taking Hintikka’s IFL as a foundational logic of mathematics face serious challenges. First, the quantifiers in Hintikka’s IFL are not distinguishable from Linström’s general quantifiers, which means that the quantifiers in IFL involve higher order entities. Second, if we take Wright’s interpretation of quantifiers or if we take Hale’s criterion for the identity of concepts, Quine’s thesis that second-order logic is set theory will be rejected. Third, Hintikka’s definition of truth itself cannot be expressed in the extension of language of IFL. Since second-order logic can do what IFL does, the significance of IFL for the foundations of mathematics is weakened.     

Factor copula models for mixed data

We develop factor copula models to analyse the dependence among mixed continuous and discrete responses. Factor copula models are canonical vine copulas that involve both observed and latent variables, hence they allow tail, asymmetric and nonlinear dependence. They can be explained as conditional independence models with latent variables that do not necessarily have an additive latent structure. We focus on important issues of interest to the social data analyst, such as model selection and goodness of fit. Our general methodology is demonstrated with an extensive simulation study and illustrated by reanalysing three mixed response data sets. Our studies suggest that there can be a substantial improvement over the standard factor model for mixed data and make the argument for moving to factor copula models.     

AN ABSOLUTE DISTINCTION BETWEEN FAITH AND SCIENCE: CONTRAST WITHOUT COMPARTMENTALIZATION

This article argues for acknowledging the existence of an absolute distinction between faith and science. It is often assumed in the science and religion debate that such a distinction would be ahistorical and uncontextual. After discussing this critique, the analogy with love and facts will be used to explain how an absolute distinction between faith and science may exist nonetheless. This contrast, however, does not imply compartmentalization. It is shown that the absolute distinction between faith and science is of crucial importance to understand the historical contexts that so many contributors to the science and religion debate refer to in their argument against the approaches of Independence or Contrast. The article concludes that within our messy and complex practices there is an absolute distinction between faith and science—our historical contexts cannot be understood without it.     

Duality of independence and interdependence: An adaptationist perspective

We propose a new framework for understanding cultural differences in self‐construal by noting the duality of this construct. Based on the analysis of the adaptive roles of self‐construal, we predicted that a US–Japan difference in self‐construal exists in the contrast between self‐expression and rejection avoidance. We confirmed these predictions using newly constructed self‐construal scales. Compared to Japanese respondents, American respondents were higher on self‐expression and lower on rejection avoidance. Our findings regarding the contrast between distinctiveness of the self and harmony seeking, which are traditionally discussed as the core features of independence and interdependence, did not support the standard cultural psychological view. The two groups of respondents did not differ on distinctiveness of the self and the American respondents were higher on harmony seeking than were Japanese respondents.     

Cultural variation in implicit independence: An extension of Kitayama et al. ()

Previous research shows that European Americans are consistently more independent (or less interdependent) than Japanese when implicit indices are used to assess independence (vs. interdependence). The present work extended this evidence by including a novel implicit association test (IAT), as an index of implicit attitude towards independence and interdependence. Consistent with the previous findings, as compared to Japanese, Americans were significantly higher in multiple indices of implicit independence (vs. interdependence) including personal (vs. social) self‐definition, experience of disengaging (vs. engaging) emotions and personal (vs. social) form of happiness. Furthermore, as compared to Japanese, Americans had a significantly more positive implicit attitude towards independence assessed with the IAT. As also observed in the previous research, explicit measures showed inconsistent cross‐cultural patterns. Lastly, we observed little statistical within‐culture coherence among the implicit measures of independence (vs. interdependence), consistent with a view that the implicit indices capture alternative ways for individuals to achieve the cultural mandate of independence or interdependence.