Analysis of the affect measurement conundrum in exercise psychology: IV. A conceptual case for the affect circumplex

Background and purpose: In previous articles in this 4-part series, we presented an analysis of some of the main problems surrounding the measurement of affect in exercise psychology. The purpose of the present paper is to integrate this experience into a proposed solution by presenting arguments in support of the circumplex model of affect.Methods: The circumplex model is considered a suitable solution because (a) it targets the broadest concept in the affective hierarchy, namely basic affect, (b) as a dimensional model, it offers unparalleled breadth of scope and parsimony, (c) it is domain-general, thus not likely to produce assessments that are biased against or in favor of a certain treatment, and (d) it is based on specific conceptual postulates, thus allowing a deductive approach to measurement. The basic assumptions of the circumplex model are discussed, the available circumplex-based self-report measures are reviewed, and a series of applied studies in the context of acute exercise are summarized.Results and conclusions: Two important caveats are emphasized: (a) the measurement of the circumplex dimensions presents certain unique challenges which advances in statistical modeling should soon address and (b) the circumplex should not be seen as a panacea for all types of research contexts as its strength lies mainly in its parsimony, not its specificity. Provided that these points are taken into consideration, the circumplex model can offer a useful framework for conceptualizing and assessing the effects of acute exercise on the affective domain.     

A circumplex model of interpersonal attributes in middle childhood

This article presents evidence for the validity of the circumplex model to represent how parents and teachers organize interpersonal attributes in children. Study 1 showed that the ratings of adults using interpersonal adjectives to describe 4- to 10-year-old children conformed to a circumplex structure. Eight scales-labeled Interpersonal Adjective Scales for Children (IAS-C)-were developed to represent the circular sequence of children's interpersonal attributes, as ordered around the reference axes of Extraversion and Social Appropriateness. The continuum of interpersonal variables substantially corresponded to Schaefer's model for social and emotional behavior, as follows: Warm-Agreeable, Sociable-Cheerful, Exuberant-Dominant, Impulsive-Aggressive, Egocentric-Irritable, Fearful-Insecure, Shy-Silent, and Mild-Placid. Study 2 demonstrated cross-validity for the IAS-C and how they are related to Big Five measures. Study 3 used data from Studies 1 and 2 in a confirmatory approach to test the circumplex IAS-C structure. Findings are discussed in relation to the adult circumplex model and suggest that the child circumplex has distinctive features that must be kept in due consideration when attempting to assess interpersonal qualities in children validly.     

Power of the Circumplex: Incremental validity of intersection traits in predicting counterproductive work behaviors

This study examines the role of the circumplex model of personality in predicting counterproductive work behaviors (CWBs). Drawing on the fidelity‐bandwidth principle, we investigate the hypotheses that each of the three sets of circumplex traits representing the intersections of conscientiousness–agreeableness, conscientiousness–emotional stability, and agreeableness–emotional stability will account for significant incremental variance over five‐factor model (FFM) traits in predicting CWBs. Results indicated the circumplex traits contribute incremental variance over the FFM traits, are relatively more important than the FFM traits, and account for 1.5–2.0 times more variance in the total R² associated with CWBs. Collectively, these findings show that circumplex traits capture unique information not explained by FFM traits, and this information leads to a better understanding of the dispositional nature of CWBs.     

On The Dimensional and Hierarchical Structure of Affect

Green, Goldman, and Salovey (1993) challenged the view that "positive affect" and "negative affect" are largely uncorrelated dimensions. On the basis of factor analytic studies of happiness and sadness, and of positive and negative emotional activation (PA and NA), they claimed that a "largely bipolar structure of affect" (p. 1029) emerges when random and nonrandom error are taken into account. A reappraisal of their own findings and confirmatory analysis of additional data do not support this claim. Happiness and sadness form a largely unidimensional bipolar structure, but PA and NA are relatively independent. However, exploratory analyses yield a three-level hierarchy incorporating in one structure a general bipolar Happiness-Versus-Unhappiness dimension, the relatively independent PA and NA dimensions at the level below it, and discrete emotions at the base. We emphasize the heuristic value of a hierarchical perspective.     

Integrating covariates into circumplex structures: an extension procedure for Browne’s circular stochastic process model

Circumplex structures are elements of various psychological domains. Most work focuses on assessing the circular ordering of circumplex indicators and their relationships with covariates. In this article, an extension procedure for Browne’s circumplex model is presented. Our approach models the relationships among circumplex indicators and the relationships of covariates with a latent circumplex simultaneously without affecting the circumplex indicators’ positions on the circumplex. The approach builds upon Browne’s Fourier series parameterization of a correlation function, which is used to model the latent circumplex correlation structure. It extends the shape of the correlation function to the profile of each covariate’s correlations with the circumplex. The model is specified in the framework of structural equation modeling, thereby making it possible to test various hypotheses. Procedures are presented for deriving interval estimates for the parameters that relate the covariates to the circumplex. The model is compared to other approaches for assessing the relationships of a circumplex with covariates. The results of the exemplary applications and a simulation study were in favor of the suggested model. The approach is furthermore illustrated with a real-data example, focusing on the relationships between the interpersonal circumplex and the rivalry and admiration aspects of narcissism.     

A note on structural models for the circumplex

Jöreskog (1974) developed a latent variable model for the covariance structure of the circumplex which, under certain conditions, includes a model for a patterned correlation matrix (Browne, 1977). This model is of limited usefulness, however, in that it employs a known matrix that is rank deficient for many problems. Furthermore, the model is inappropriate for the circumplex which contains negative covariances. This paper presents alternative models for the perfect circumplex and quasi-circumplex that avoids these difficulties, and that includes the important model for a patterned correlation circumplex matrix. Two numerical examples are provided.This research was supported in part by a grant from the Graduate School of the University of Minnesota. I wish to thank M. W. Browne for suggesting the final model presented in this paper. James Steiger and the Editor also made several valuable suggestions.     

Construction of Circumplex Scales for the Inventory of Interpersonal Problems

We constructed a set of circumplex scales for the Inventory of Interpersonal Problems (IIP; Horowitz, Rosenberg, Baer, Ureno, & Villasenor, 1988). Initial scale construction used all 127 items from this instrument in two samples of university undergraduates (n = 197; n = 273). Cross-sample stability of item locations plotted against the first two principal components was high. A final set of eight 8-item circumplex scales was derived from the combined sample (n = 470) and cross-validated in a third university sample (n = 974). Finally, we examined the structural convergence of the IIP circumplex scales with an established measure of interpersonal dispositions, the Revised Interpersonal Adjective Scales (IAS-R; Wiggins, Trapnell, & Phillips, 1988). Although both circumplex instruments were derived independently, they shared a common Circular space. Implications of these results are discussed with reference to current research methods for the study of interpersonal behavior.     

Evidence for extending the circumplex model of personality trait language to self-reported moods

We show that self-ratings by 141 undergraduates on 17 items form a circumplex that closely agrees with Conte and Plutchik's (1981) circumplex of personality traits. The order of items on a circumplex, generated by self-ratings following a here-and-now instruction set, scarcely differs from that of a circumplex representing the same ratings averaged over a 2-week period. The configuration becomes more elliptical as one moves from the state-like measures (here-and-now ratings) to pure trait measures (averages), but measurement bias is shown to be the most probable cause of the distortion. Allowing for the limitations of small samples of items and raters, the findings show that the circumplex model represents a valid theoretical construct and does not arise from measurement error or from an illusory implicit personality theory.     

Assessing the interpersonal circumplex model in late childhood: the interpersonal behavior questionnaire for children

The authors developed the Interpersonal Behavior Questionnaire for Children with the aim of assessing the constructs of the interpersonal circumplex model, that is, Dominance and Love and their possible combinations, via third- to fifth-grade children's self- and peer reports. In the three studies presented herein, the authors examined several psychometric properties of the questionnaire. Results demonstrated that children's ratings along the questionnaire yielded the hypothesized circumplex structure of the interpersonal variables; that they reached significant association levels with external criteria; and that they were reliable. Specifically, interrater correlations were shown to reach substantive levels when inspected in older children, when scores were aggregated over raters, and when dominant behaviors were evaluated. Overall, the findings demonstrated the tenability of the circumplex model in young ages via children's ratings. The authors suggest that both personality assessment and personality development research may take advantage from using children's evaluations, in addition to adults' ratings of their children's personality.     

On the broad applicability of the affective circumplex: representations of affective knowledge among schizophrenia patients

Abstract - Studies of affective experience are guided by the assumption that the structure of affect generalizes across people. Yet this assumption has not been tested among educationally and economically diverse community residents or among individuals with psychopathology. This study explicitly examined the broad applicability of the valence-arousal circumplex and whether schizophrenia patients and nonpatients have comparable knowledge structures of affective phenomena. Patients and nonpatients completed similarity ratings of 120 pairs of affect words. Similarity judgments were analyzed separately for each group using a multidimensional scaling procedure, and solutions were compared. Results revealed the same two-dimensional valence-arousal solution for schizophrenia patients and nonpatients, although there were subtle differences between the groups. These findings provide additional evidence that the circumplex model is a useful formalism for representing affective phenomena across diverse populations, and they bolster confidence in existing interpretations of schizophrenia patients' reports of affective experience.     

An informal history of the interpersonal circumplex tradition

Circular representations of human nature can be traced from ancient astrology to Leonardo Da Vinci to the modern interpersonal circumplex (IPC) tradition. which began with Harry Stack Sullivan. The Kaiser Foundation Psychology Research Group operationalized key concepts of Sullivan's and Timothy Leary (1957) provided extensions of Sullivanian theory that formed the conceptual basis for contemporary circumplex models The current generation of circumplex investigators is exceptionally well represented by the contributors to this special series. The IPC can serve as an integrative cognitive framework for making sense of diverse realms that are well outside its original focus of convenience. The visual and psychological appeal of this powerful model is briefly illustrated.     

Validation of the SASB Introject Surface in a Norwegian clinical and nonclinical sample

In this study, we examined the reliability and construct validity of the Structural Analysis of Social Behavior Introject Surface, Intrex long form A (SASB-IS; Benjamin, 1995) in 2 Norwegian samples. The fit of the 8 SASB-IS scales to the structural requirements of a circumplex model with relaxed equal spacing constraints was reasonably good in an outpatient sample, but poor in a normal reference sample. The deviations from the equal spacing based on an ideal circumplex model, however, seem to have minimal implications for the utility of the instrument in clinical assessment. The reliability of the SASB-IS was acceptable on most scales, but two scales had unacceptable low reliability. Correspondence with external criteria supported the validity of the SASB-IS in both samples. Profile patterns related to different segments of the introject circumplex model were systematically related to severity of psychopathology: Hostile and accepting patterns of self-relatedness formed polar opposites; control patterns and intermediate patterns gave intermediate pathology scores.     

The circumplex structure of affect: A Swedish version

The taxonomy of a circumplex model has been widely applied in the emotion domain and especially by researchers advocating a systematic arrangement of conscious emotional experience (see Fabrigar, Visser & Browne, 1997; Feldman Barett & Russell, 1999 for recent reviews). To rule out some of the lexical problems in the naming of affective states in the circumplex space, Larsen and Diener (1992) suggested a labeling system with forty-eight English adjectives representing eight affective states. The objective of the present study was to examine how well Swedish adjectives map onto a dimensional model of this kind, in doing so, to compose a Swedish measure for self-reported affect. The forty-eight Swedish adjectives translated from Larsen and Diener (1992) failed to capture a pure circumplex structure. However, when approximately two thirds of these adjectives were reanalyzed, a reasonable consistency with the circumplex model was reached. This suggested a composite Swedish measure for self-rated affect, with up to four adjectives representing each of the eight affective states in the circumplex space.     

Developing a short form of the IPIP Abridged Big Five-Dimensional Circumplex (AB5C) congruent with the AB5C circumplex locations

The Abridged Big-Five Dimensional Circumplex (AB5C) model stands out due to its ability to locate personality facets within a circumplex structure. However, both current measures of the AB5C model have facets inconsistent with their respective circumplex location. The current study sought to modify specific AB5C-SF scales by selecting new items for eleven facets that displayed poor psychometric properties as well as new facet labels for four facets. Although results suggested that new item selections generally improved the psychometric qualities, some specific circumplex locations remained challenging to capture. Combined with past results, this raises questions regarding whether all possible domain combinations can be well-assessed and if there are single words to capture certain trait combinations in the English language.     

Bayesian Estimation of Circumplex Models Subject to Prior Theory Constraints and Scale-Usage Bias

This paper presents a hierarchical Bayes circumplex model for ordinal ratings data. The circumplex model was proposed to represent the circular ordering of items in psychological testing by imposing inequalities on the correlations of the items. We provide a specification of the circumplex, propose identifying constraints and conjugate priors for the angular parameters, and accommodate theory-driven constraints in the form of inequalities. We investigate the performance of the proposed MCMC algorithm and apply the model to the analysis of value priorities data obtained from a representative sample of Dutch citizens. We wish to thank Michael Browne and two anonymous reviewers for their comments. The data for this study were collected as part of the project AIR2-CT94-1066, sponsored by the European Commission.     

Exploring Personality with the Interpersonal Circumplex

The interpersonal circumplex can serve as both companion and guide for those interested in exploring the interpersonal domain of personality. This article offers a relatively nontechnical overview of the model and its various applications in the study of personality. I begin by defining the interpersonal circumplex, its structure and in what sense it is 'interpersonal'. As part of that, I will briefly consider how circumplex measures of personality, such as the Interpersonal Adjective Scales, are typically evaluated for fit to the model. I will next describe applications of the model for exploring both the idiographic (person-centered) and nomothetic (variable-centered) realms of personality. In person-centered research, the circumplex leads to useful ways of summarizing the basic interpersonal features of a given individual. In variable-centered research, the circumplex can help elucidate the essential interpersonal meaning of personality constructs such as traits, problems, and motives. To explain how the circumplex can help us explore personality – idiographically and nomothetically – I will draw on a variety of studies, including several recent studies that extend the model in new ways.     

Circumplex structure and personality disorder correlates of the Interpersonal Problems model (IIP-C): construct validity and clinical implications

This study assessed the construct validity of the circumplex model of the Inventory of Interpersonal Problems (IIP-C) in Norwegian clinical and nonclinical samples. Structure was examined by evaluating the fit of the circumplex model to data obtained by the IIP-C. Observer-rated personality disorder criteria (DSM-IV, Axis II) were used as external correlates. The reliability of the IIP-C scales was acceptable and in the same range as in the original version. A multisample analysis strategy did not support an invariant circumplex model across the 2 groups. However, the estimated structures reflected mostly the same circular pattern of a quasi-circumplex model in the 2 groups. Departures from the ideal model were of negligible practical significance. The validity results examining personality disorder correlates of the IIP-C generally conformed to predictions, providing direct evidence for agreement between self-report and expert judgments of interpersonal problems.     

Emotional intelligence: The MSCEIT from the perspective of generalizability theory

The Mayer, Salovey, & Caruso Emotional Intelligence Test (MSCEIT) has been reported to provide reliable scores for the four-branch ability model of emotional intelligence [Mayer, J. D., Salovey, P., & Caruso, D. R. (2002). Mayer–Salovey–Caruso Emotional Intelligence Test (MSCEIT). User's manual. Toronto, Canada: Multi-Health Systems]. However, no studies have yet been reported that have carried out a comprehensive analysis of reliability of scores from MSCEIT, taking into account the different conceptual features of the multifacet measurement design. Results from generalizability analyses of scores from 111 Norwegian executives' responses on the Norwegian version of MSCEIT show that scores reflect considerable amounts of measurement error. Ability scores from Perceiving Emotions are multidimensional, reflecting different types of emotion and the presence or absence of rated emotions in the stimuli. Generalizability (reliability) coefficients for scores from Perceiving Emotions, Facilitating Thought, Understanding Emotion, and Managing Emotions were estimated to .71, .37, .50, and .46, respectively, which is substantially lower than reported in previous studies. The low estimated generalizability coefficients suggest that the scores may not generalize well to intended domains, and the validity of some of the scores may be questioned.     

Distinctions among agency, communion, and unmitigated agency and communion according to the interpersonal circumplex, Five-factor model, and social-emotional correlates

In this study, we examined common measures of agency (AG), communion (CM), and unmitigated agency (UA) and unmitigated communion (UC) using the interpersonal circumplex and Five-factor models (FFM) as conceptual frameworks. AG aligned with interpersonal dominance in circumplex space and related positively to conscientiousness and inversely to neuroticism. CM corresponded with interpersonal affiliation and related positively to conscientiousness. UA was consistent with hostile-dominance and related to lower conscientiousness and higher neuroticism. UC related to friendly submission but was not strongly represented in the circumplex and did not relate to the FFM. Each construct showed distinct social-emotional correlates. These findings support the convergent and divergent properties of the constructs but suggest that additional attention to the conceptual definition and measurement of UC is warranted.