Nontransitive Decomposable Conjoint Measurement

Traditional models of conjoint measurement look for an additive representation of transitive preferences. They have been generalized in two directions. Nontransitive additive conjoint measurement models allow for nontransitive preferences while retaining the additivity feature of traditional models. Decomposable conjoint measurement models are transitive but replace additivity by a mere decomposability requirement. This paper presents generalizations of conjoint measurement models combining these two aspects. This allows us to propose a simple axiomatic treatment that shows the pure consequences of several cancellation conditions used in traditional models. These nontran- sitive decomposable conjoint measurement models encompass a large number of aggregation rules that have been introduced in the literature.     

Preferences for multi-attributed alternatives: Traces, dominance, and numerical representations

This paper analyzes conjoint measurement models allowing for intransitive and/or incomplete preferences. This analysis is based on the study of marginal traces induced on coordinates by the preference relation and uses conditions guaranteeing that these marginal traces are complete.Within the framework of these models, we propose a simple axiomatic characterization of preference relations compatible with the notion of dominance. We show that all such relations have a nontrivial numerical representation.Our results allow us to establish useful connections between two lines of thought in the area of decision analysis with multiple attributes that have largely remained unrelated: the one based on conjoint measurement and the one emphasizing the idea of dominance.     

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.     

Counting and timing models in psychophysics and the conjoint Weber's law

J. C. Falmagne, G. Iverson, and S. Marcovici ((1979). Psychological Review, 86, 25–43) proposed a generalization of Weber's law, which they called the conjoint Weber's law. Empirically, the law sometimes holds. When it fails, the data satisfy a relation that Falmagne et al. identify as the conjoint Weber's inequality. This paper investigates the ability of counting and timing models of psychophysics to predict Weber's law and the conjoint Weber's law. It is shown that although the timing model naturally predicts both laws to hold, all reasonable counting models predict them to fail. Instead, counting models naturally predict Weber's inequality and the conjoint Weber's inequality.     

Creating Structure in a Time of Intense Stress: Treating Intimate Partner Violence

Violence is an increasingly visible problem in the United States, with the news and other forms of media bringing this into the forefront of the public’s awareness. Violence comes in many different forms, including intimate partner violence (IPV), which occurs for about 36% of women and about 29% of men across the United States. Given the high incidence in the United States, it is imperative to consider the best ways for mental health professionals to treat violence in relationships. Some professionals in the field have developed and utilized conjoint treatment models for working with couples who have a history of violence. This article presents the application of attachment theory to a conjoint treatment model for couples that have experienced violence. A case study is included to demonstrate the implementation of an emotionally focused therapy framework and provide a sample outcome of this treatment approach. The framework of this article provides clinicians with insight into how to approach working with violent couples in a safe and productive way. Mental health professionals are at the front lines of implementing evidence-based interventions and creating lasting change for the clients whom they work with.     

消费行为研究中的联合分析法

联合分析(Conjoint Analysis)是一种定量的研究消费者选择偏好的方法。虽然从它诞生到现在只有40年的历史,但它对消费者行为学的影响很大,它的发展更是日新月异。文章首先介绍了联合分析的基本概念,然后重点阐述了联合分析的原理、步骤和发展历程,最后对联合分析的发展方向作了一个简要概括。     

Couples treatment for major depression: critique of the literature and suggestions for some different directions

Current couples approaches to the treatment of depression show considerable promise for some couples, but have substantial room for improvement – in terms of efficacy as well as applicability and acceptability to a broader population. Although conjoint approaches have been shown to be efficacious in reducing couple distress and are possibly efficacious in ameliorating depression that co-occurs with couple distress, methodological problems hamper generalization from the published findings. Therefore, it is not clear that most depressed persons are likely to benefit from currently available conjoint formats. Most basically, there may often be obstacles that prevent or delay partner involvement, highlighting the need for treatments that can enhance relationship functioning without relying on a conjoint format. Existing treatment delivery systems may also fail to reach a considerable segment of the population. Developing a more flexible set of options for implementing couple-focused treatment, as well as rethinking dominant assumptions about depression, may be integral to extending the viability of couples therapy for depression.     

Theory and tests of the conjoint commutativity axiom for additive conjoint measurement

The empirical study of the axioms underlying additive conjoint measurement initially focused mostly on the double cancellation axiom. That axiom was shown to exhibit redundant features that made its statistical evaluation a major challenge. The special case of double cancellation where inequalities are replaced by indifferences–the Thomsen condition–turned out in the full axiomatic context to be equivalent to the double cancellation property but without exhibiting the redundancies of double cancellation. However, it too has some undesirable features when it comes to its empirical evaluation, the chief among them being a certain statistical asymmetry in estimates used to evaluate it, namely two interlocked hypotheses and a single conclusion. Nevertheless, thinking we had no choice, we evaluated the Thomsen condition for both loudness and brightness and, in agreement with other lines of research, we found more support for conjoint additivity than not. However, we commented on the difficulties we had encountered in evaluating it. Thus we sought a more symmetric replacement, which as Gigerenzer and Strube (1983) first noted, is found in the conjoint commutativity axiom proposed by Falmagne (1976, who called it the “commutative rule”). It turns out that, in the presence of the usual structural and other necessary assumptions of additive conjoint measurement, we can show that conjoint commutativity is equivalent to the Thomsen condition, a result that seems to have been overlooked in the literature. We subjected this property to empirical evaluation for both loudness and brightness. In contrast to Gigerenzer and Strube (1983), our data show support for the conjoint commutativity in both domains and thus for conjoint additivity.     

Direct evidence for the existence of energy-based texture mechanisms

Two classes of models have been proposed to explain how the visual system processes texture modulations. In 'feature models', abstract representations of the featural properties of local texture regions (eg orientation, spatial frequency, contrast) are first generated, after which differences in individual feature properties across space are detected. In 'energy models', on the other hand, differences across space in the response energies of linear simple-cell-like filters are detected. This model thus processes the existing differences between texture regions directly without generating a full representation of the individual texture regions. We provide here direct evidence for the existence of the second, energy model, using an adaptation paradigm in conjunction with textures simultaneously modulated in two dimensions--orientation and spatial frequency. We found that the mechanism that processed the conjoint modulation was tuned to orientations and spatial frequencies that could not be predicted by any feature model, but which were precisely predicted by the energy model.     

Conjoint schedules of timeout deletion in pigeons.

This experiment attempted to bring behavior under joint control of two distinct contingencies, one that provided food and a second that extended the periods during which that food was available. Pigeons' responses on each of two keys were reinforced according to a single random-interval schedule of food presentation except during signaled timeout periods during which the schedule was temporarily disabled. By means of a conjoint schedule, responses on the initially less preferred key not only produced food but also canceled impending timeouts. When behavior came to predominate on this conjoint alternative, the consequences of responding on the two keys were reversed. Responding in 3 of 4 pigeons proved sensitive to the conjoint scheduled consequences, as evidenced by systematic shifts in response rates favoring the conjoint key. In 2 of these 3 pigeons, sensitivity to the conjoint contingency was evident under time-in:timeout ratios of 2:1 (time-in = 120 s, timeout = 60 s) and 1:5 (time-in = 30 s, timeout = 150 s), whereas for the other pigeon preference for the conjoint key was observed only under the latter sequence of conditions. There was only weak evidence of control by the conjoint scheduled consequences in the 4th subject, despite extended training and forced exposure to the conjoint alternative. The overall pattern of results is consistent with studies of timeout avoidance but also shares features in common with positively reinforced behavior.     

An empirical comparison of three variants of the AHP and two variants of conjoint analysis

This paper provides an empirical comparison of two methods of attribute valuation: the analytic hierarchy process (AHP) and conjoint analysis. Variants within each approach are also examined. The results of two empirical studies indicate that the methods differ in their predictive and convergent validity. Within the AHP methods no significant difference in predictive validity was found. Within the conjoint methods, the ranking method significantly outperformed the rating method. The difference in predictive validity between the AHP and conjoint methods was significant in the second study but not in the first study, suggesting superior performance of the AHP over conjoint analysis in complex problems. Copyright© 1998 John Wiley & Sons, Ltd.     

Short- and long-term effectiveness of two communication training modalities with distressed couples

Abstract

Communication training is a widely practiced therapeutic approach for the treatment of marital discord. Although there is some empirical support for the theoretical assumptions underlying constructive communication patterns, it has not yet been ascertained whether changing these behaviors is sufficient in bringing about stable changes in distressed marriages. The present study was designed to investigate the efficacy of this treatment approach in a conjoint and conjoint group modality. Following therapy, conjoint couples (n = 16) when compared with a waiting list control group (n = 17) showed improvement on five of the seven outcome variables. Couples in the conjoint group modality (n = 13) improved on only two of the seven variables. Follow-up assessments one year after treatment showed that initial gains had been substantially reduced. On the basis of these results it is now open to question whether conjoint group treatments are an appropriate treatment modality for even moderately distressed couples.     

Axiomatic and numerical conjoint measurement: An evaluation of diagnostic efficacy

Synthetic data are used to examine how well axiomatic and numerical conjoint measurement methods, individually and comparatively, recover simple polynomial generators in three dimensions. The study illustrates extensions of numerical conjoint measurement (NCM) to identify and model distributive and dual-distributive, in addition to the usual additive, data structures. It was found that while minimum STRESS was the criterion of fit, another statistic, predictive capability, provided a better diagnosis of the known generating model. That NCM methods were able to better identify generating models conflicts with Krantz and Tversky's assertion that, in general, the direct axiom tests provide a more powerful diagnostic test between alternative composition rules than does evaluation of numerical correspondence. For all methods, dual-distributive models are most difficult to recover, while consistent with past studies, the additive model is the most robust of the fitted models.Douglas Emery is now at the Krannert Graduate School of Management, Purdue University, West Lafayette, IN, on leave from the University of Calgary.     

The ghost in the group room: countertransferential pressures associated with conjoint individual and group psychotherapy

Conjoint individual and group therapy is a commonly used, effective psychotherapeutic treatment. The relationship between the conjoint therapists significantly influences the treatment. This article examines countertransference dilemmas of the group and individual therapists arising from the real and fantasied conjoint relationship. Case examples illustrate specific countertransference dilemmas. Therapists are encouraged to consider the possibility of difficulties with each potential conjoint treatment. Consultation and supervision are recommended to help the conjoint therapists identify and manage countertransference pressures.     

Individual Marital Therapy: A Critical Reappraisal

The belief that individual marital therapy (IMT) is an ineffective form of treatment for marriage problems and markedly inferior to the conjoint approaches has become almost an article of faith in family therapy circles. This position was originally advanced in the influential reviews of the research literature conducted by Gurman and Kniskern, and their conclusions have been cited in numerous other articles. This paper re-reviews the research studies purportedly supporting this conclusion and finds almost all of them to be invalidated by gross flaws in design and implementation. It is argued that from the highly inadequate evidence available, no conclusions can be reached concerning either the absolute or relative effectiveness of IMT.     

Effects of contrasting category,conjoint frequency and typicality on categorization

Two experiments were conducted to investigate whether (a) experience with a contrasting category, (b) conjoint frequency of dimensional values, (c) range of typicality of values, and (d) type of information administered during learning influenced subsequent test performance. Each experiment began with an observational category learning task, employing faces as stimuli. This was followed by a classification test task and by pairwise comparisons of faces. Influence of a contrasting category was studied in experiment 1 by varying frequency of values of the contrasting category, and in experiment 2 by either including or not including a contrasting category in the learning task. Results indicated that (a) categorization is influenced by experience with a contrasting category, (b) conjoint frequency enhances the importance of values to a category, (c) broad typicality range experience reduces typicality differences among exemplars of a category, whereas small range experience diminishes differences in a contrasting category, and (d) information on representativeness of exemplars does not facilitate subsequent test performance. The implications of the results for categorization models are discussed.     

Dominance and Dialogue in Couple Therapy for Psychological Intimate Partner Violence

Although there is controversy concerning indications for conjoint therapy in Intimate Partner Violence (IPV), both research and practice have come to recognize that it has some important benefits. This study analyzes issues of dominance and dialogue in a conjoint therapy for psychological IPV within a naturalistic setting, in which the spouses sought couple therapy on a voluntary basis. The method used to analyze the therapy was Dialogical Investigations of Happenings of Change (DIHC). Results on dominance indicated that the male client showed more quantitative dominance, whereas semantic dominance was more present in the female client, and therapists used more interactional dominance. Results on dialogue analysis showed that dialogical dialogue might help to construct a new-shared meaning of the issue of violence. In the Discussion section some research and clinical implications of the results are derived.