Sensitivity of a linear composite of predictor items to differential item weighting

Many authors have demonstrated for idealized item configurations that equal item weights are often virtually as good for a particular predictive purpose as the item weights that are theoretically optimal. What has not been heretofore clear, however, is what happens to the similarity between weighted and unweighted composites of the same items when the item configuration's variance structure is complex.     

Concurrent schedules: How responses per reinforcer affects estimates of sensitivity to reinforcement

Conventionally, when choice is measured under concurrent schedules, all responses are included. However, the class of all responses consists of 2 sub-classes which are discriminable by their properties: Reinforced responses always equal obtained reinforcers, while unreinforced responses are free to vary. As a result, the inclusion of reinforced responses in choice measures results in sensitivity values in generalized matching that are biased toward larger values, and this bias becomes extreme in some combinations of overall response and reinforcer rates. Different ways of varying concurrent-schedule values also affect estimated sensitivity and the linearity between choice based on all responses and reinforcer ratios. To avoid spurious results and comparisons, and as a matter of good practice, generalized-matching fits and measures should be done using only unreinforced responses.     

The use of partial information on weights in multicriteria decision problems

This paper addresses multicriteria decision problems in which only partial information is given in the decision-making process. We generalize existing results about preference relations induced by nonnegative inverse matrices, allowing linear relations on weights with upper and lower bounds. In addition we develop conditions for additional information that preserve the special properties studied and show how to incorporate the new information to the model. © 1998 John Wiley & Sons, Ltd.     

A note on the determination of configuration and weights for a class of individual scaling models

Consider the typical problem in individual scaling, namely finding a common configuration and weights for each individual from the given interpoint distances or scalar products. Within the STRAIN framework it is shown that the problem of determining weights for a given configuration can be posed as a standard quadratic programming problem. A set of necessary conditions for an optimal configuration to satisfy are given. A closed form expression for the configuration is obtained for the one dimensional case and an approach is given for the two dimensional case.     

Canonical analysis of longitudinal and repeated measures data with stationary weights

When measuring the same variables on different occasions, two procedures for canonical analysis with stationary compositing weights are developed. The first, SUMCOV, maximizes the sum of the covariances of the canonical variates subject to norming constraints. The second, COLLIN, maximizes the largest root of the covariances of the canonical variates subject to norming constraints. A characterization theorem establishes a model building approach. Both methods are extended to allow for Cohort Sequential Designs. Finally a numerical illustration utilizing Nesselroade and Baltes data is presented.The authors wish to thank John Nesselroade for permitting us to use the data whose analysis we present.     

Coping and sensitivity to aversive events

To test further the sensitivity to aversive events hypothesis, males and females varying in level of depressed mood listened to positive, negative, and neutral social scenes while psychophysiological measurements were obtained. In addition, the relations among response styles, coping strategies, and psychological adjustment were examined. Results indicated that only dysphoric females responded in ways consistent with the sensitivity hypothesis, exhibiting greater electrodermal responses to negative social scenes compared to nondysphoric females. No differences in psychophysiological sensitivity were found between dysphoric and nondysphoric males. Dysphoric students engaged in more ruminative type responses in reaction to their depressed mood and reported using more avoidant coping strategies in response to stress. In particular, females utilized more ruminative strategies in response to a depressed mood and more emotion-focused coping strategies in response to stressful events in general. The implications for these results are discussed within a diathesis-stress framework.     

Sensory processing sensitivity and its relation to parental bonding, anxiety, and depression

Sensory processing sensitivity is a recently proposed construct referring to a tendency to process a variety of information more strongly and deeply than others. Although some research has found links between sensory processing sensitivity and psychological difficulties, highly sensitive people may not necessarily be predisposed to negative affect, but may be more sensitive to poor parenting. Two hundred thirteen college students were given a measure of sensory processing sensitivity (the HSPS), the parental bonding scale (measuring parental care and over-protection), the trait anxiety scale, and the Beck depression inventory. Sensory processing sensitivity predicted both anxiety and depression above and beyond parental factors, indicating that it may be an independent risk factor. An interaction was found between sensory processing sensitivity and parental care when measuring depression. Highly sensitive people may be particularly sensitive to uncaring parents. Results indicate that sensory processing sensitivity may be a temperamental disposition that interacts meaningfully with environmental factors.     

An optimal property of least squares weights in prediction models

In predicting scores fromp > 1 observed scores in a sample of sizeñ, the optimal strategy (minimum expected loss), under certain assumptions, is shown to be based upon the least squares regression weights computed from a previous sample. Letting represent the correlation between and the predicted values , and letting represent the correlation between and a different set of predicted values , where w is any weighting system which is not a function of , it is shown that the probability of being less than cannot exceed .50. The relationship of this result to previous research and practical implications are discussed.     

Unique contributions of anxiety sensitivity to avoidance: a prospective study in adolescents

Examination of the prospective relation between anxiety sensitivity (AS) and behavioral avoidance is largely absent from the literature. In a longitudinal study of a community sample of 2246 adolescents, participants completed the Anxiety Sensitivity Index (ASI; Reiss, Peterson, Gursky, & McNally (1986). Behaviour Research & Therapy, 24, 1-8), State-Trait Anxiety Inventory (STAI; Spielberger (1983). STAI: Manual for the Stait-Trait Anxiety Inventory. Palo Alto: Consulting Psychologists Press), and the Fear Questionnaire (Marks & Matthews (1979). Behaviour Research & Therapy, 17, 263-267) on an annual basis. To stringently test AS's ability to prospectively predict behavioral avoidance, linear regression was used to test whether AS factors predicted variance in follow-up behavioral avoidance scores after controlling for gender, trait anxiety, panic attacks, and baseline avoidance. Results indicted that the mental and physical subscales of the ASI predicted change in behavioral avoidance. The findings of the study are consistent with the view that AS may serve as a precursor to avoidant behavior and that, regardless of whether or not acute panic has been experienced, those who fear autonomic arousal may be more likely to avoid situations in which those sensations may be present.     

A distance-based variety of nonlinear multivariate data analysis, including weights for objects and variables

In the distance approach to nonlinear multivariate data analysis the focus is on the optimal representation of the relationships between the objects in the analysis. In this paper two methods are presented for including weights in distance-based nonlinear multivariate data analysis. In the first method, weights are assigned to the objects while the second method is concerned with differential weighting of groups of variables. When each analysis variable defines a group the latter method becomes a variable weighting method. For objects the weights are assumed to be given; for groups of variables they may be given, or estimated. These weighting schemes can also be combined and have several important applications. For example, they make it possible to perform efficient analyses of large data sets, to use the distance-based variety of nonlinear multivariate data analysis as an addition to loglinear analysis of multiway contingency tables, and to do stability studies of the solutions by applying the bootstrap on the objects or the variables in the analysis. These and other applications are discussed, and an efficient algorithm is proposed to minimize the corresponding loss function.This study is funded by The Netherlands Organization for Scientific Research (NWO) by grant nr. 030-56403 for the PIONEER project Subject Oriented Multivariate Analysis to the third author.     

Estimating the weights for multiple attributes in a composite criterion using pairwise judgments

This paper presents a new methodology for estimating the weights or saliences of subcriteria (attributes) in a composite criterion measure. The inputs to the estimation procedure consist of (i) a set of stimuli or objects with each stimulus defined by its subcriteria profile (set of attribute values) and (ii) the set of paired comparison dominance (e.g., preference) judgments on the stimuli made by a single judge (expert) in terms of the global criterion. A criterion of fit is developed and its optimization via linear programming is illustrated with an example. The procedure is generalized to estimate a common set of weights when the pairwise judgments on the stimuli are made by more than one judge. The procedure is computationally efficient and has been applied in developing a composite criterion of managerial success yielding high concurrent validity.This methodology can also be used to perform ordinal multiple regression—i.e., multiple regression with an ordinally scaled dependent variable and a set of intervally scaled predictor variables. The approach is further extended to internal analysis (unfolding) using the vector model of preference and to the additive model of conjoint measurement.     

Discriminability and sensitivity to reinforcer magnitude in a detection task

Three pigeons discriminated between two sample stimuli (intensities of red light). The difficulty of the discrimination was varied over four levels. At each level, the relative reinforcer magnitude for the two correct responses was varied across conditions, and the reinforcer rates were equal. Within levels, discriminability between the sample stimuli did not change systematically as reinforcer magnitude varied. Across levels, the sensitivity of behavior to changes in the reinforcer-magnitude ratio decreased as the discriminability between the sample stimuli increased. Subsequent analysis showed that this relation was limited to performance following only one of the sample stimuli, the dim red light that remained constant across all conditions. Extant behavioral models of signal detection cannot easily accommodate these results.     

Psychopathy is related to negative affectivity but not to anxiety sensitivity

Although the hypothesis that psychopathic individuals are characterized by a reduced capacity for experiencing anxiety is central to many theories of psychopathy, most prior studies have examined anxiety and fear measures generally considered outdated in the literature. Moreover, prior findings are mixed, with several studies reporting no relationships between psychopathy and anxiety, and others suggesting negative relationships for the affective, interpersonal aspects of the disorder and positive relationships for the antisocial behavior dimension. To examine whether psychopathy dimensions are associated with contemporary measures of anxiety, the Anxiety Sensitivity Index and State Trait Anxiety Inventory-Trait scale were administered to 157 male inmates. Participants also completed the MMPI-derived Welsh Anxiety Scale (WAS), commonly used in psychopathy studies. Analyses provide no evidence for a negative relationship between psychopathy's affective, interpersonal factor and anxiety sensitivity after controlling for trait anxiety. Trait anxiety and WAS scores were positively associated with the antisocial behavior dimension of psychopathy. Findings do replicate prior relationships between the WAS and psychopathy, suggesting the WAS may measure aspects of negative affectivity that differ from anxiety.     

Original and cumulative prospect theory: a discussion of empirical differences

This paper discusses differences between prospect theory and cumulative prospect theory. It shows that cumulative prospect theory is not merely a formal correction of some theoretical problems in prospect theory, but it also gives different predictions. Some experiments by Lola Lopes are re-analyzed, and are demonstrated to favor cumulative prospect theory over prospect theory. It turns out that the mathematical form of cumulative prospect theory is well suited for modeling the psychological phenomenon of diminishing sensitivity. © 1997 John Wiley & Sons, Ltd.     

Emotion regulation,disgust sensitivity,and psychophysiological responses to a disgust-inducing film

Abstract

Using a disgust-inducing film, Gross (1998) showed that the instruction to suppress mimic expression (suppression) triggered physiological arousal, while the instruction to think about the film in order to adopt a detached and unemotional attitude (reappraisal) reduced affective strain compared to a condition instructing subjects simply to watch the film (watch). The present paper investigates, if disgust sensitivity has a moderating role in this context. Physiological, subjective, and behavior responses were recorded in 120 males divided according to high/low disgust sensitivity who were exposed to the disgust-inducing film used by Gross. The instruction effects reported by Gross could not be replicated. However, high disgust-sensitive subjects were more physiologically and emotionally aroused than low disgust-sensitive subjects. Interactions between disgust sensitivity and the three film instructions can possibly be traced back to a repressive coping style of subjects with low disgust sensitivity.     

Acceptability of a brief computerized intervention targeting anxiety sensitivity

Despite the well-documented efficacy of cognitive behavioral treatments for anxiety disorders, the acceptability of these treatments remains an under-researched area. A better understanding of acceptability could help to improve the initiation of, and engagement in, these effective interventions. Recent research has suggested computerized interventions of anxiety-related risk factors may be one way to improve acceptability and overcome several common barriers to treatment. Considering this, the current study tested the acceptability of a computerized, anxiety sensitivity (AS)-focused treatment among a sample of treatment-seeking community participants and military veterans (N = 58). Results indicated that the majority of participants rated the intervention as acceptable, and that drop-out rate was low (ie 5%). Moreover, higher acceptability scores were associated with older age, veteran status, lower income levels, African-American race, and being separated/divorced. Findings suggest that a computerized AS-focused treatment may be an acceptable treatment method, and may have advantages in acceptability for hard to reach populations.     

Anxiety sensitivity moderates the painful effects of feeling burdensome to others

Perceived burdensomeness (PB), the perception of being a burden to others, is associated with pain and physical symptoms. Anxiety sensitivity (AS), the fear of arousal-related sensations, arising from beliefs that the sensations may have adverse personal consequences (physical, cognitive, and social), may increase risk for pain responding, particularly in anxiety-provoking (e.g. socially threatening) contexts. Accordingly, individuals high in AS may have a stronger pain response when experiencing PB than those low in AS. Undergraduate participants (n = 262) completed the Anxiety Sensitivity Index (ASI-3), and then were randomly assigned to re-live an experience when they were either burdensome to others (burdensome condition) or contributed equally to a group (control condition). Both social and physical self-reported pain were assessed post-manipulation. Those high in AS reported significantly higher pain ratings in the burdensome condition than the control condition; for those low in AS, pain did not change across conditions. In particular, being fearful of the physical repercussions of anxiety (AS physical concerns) while also feeling burdensome to others was associated with greater physical pain. AS may exacerbate the already painful effects of feeling burdensome to others, and may have important implications for the development of future suicide- and pain-related interventions.     

Bias and sensitivity to reinforcement in a concurrent-chain schedule

Six pigeons were trained on concurrent-chain schedules in which the initial links were either dependent (Experiment 1) or independent (Experiment 2) concurrent variable-interval schedules and the terminal links were fixed-duration delays to reinforcement in blackout. A changeover delay of three seconds operated in the initial links. Both the initial- and terminal-link schedule values were varied over 61 experimental conditions. An analysis of the data using the generalized matching law showed that the sensitivity of initial-link response allocation to the frequency of terminal-link production was independent of both the duration of the terminal-link delays and, though less clearly, of the duration of the initial-link schedules. Sensitivity of initial-link response allocation to terminal-link reinforcer-rate ratios was a joint function of the terminal-link durations and the smaller average initial-link duration. The results showed that the generalized matching law is useful in analyzing concurrent-chain schedule performance and that a changeover delay in the initial links eliminates some terminal- to initial-link interactions that have made quantitative predictions for concurrent-chain performances difficult.