Transforming three-way arrays to maximal simplicity

Transforming the core array in Tucker three-way component analysis to simplicity is an intriguing way of revealing structures in between standard Tucker three-way PCA, where the core array is unconstrained, and CANDECOMP/PARAFAC, where the core array has a generalized diagonal form. For certain classes of arrays, transformations to simplicity, that is, transformations that produce a large number of zeros, can be obtained explicitly by solving sets of linear equations. The present paper extends these results. First, a method is offered to simplifyJ ×J × 2 arrays. Next, it is shown that the transformation that simplifies anI ×J ×K array can be used to also simplify the (complementary) arrays of order (JK −I) ×J ×K, of orderI × (IK −J) ×K and of orderI ×J × (IJ −K). Finally, the question of what constitutes the maximal simplicity for arrays (the maximal number of zero elements) will be considered. It is shown that cases of extreme simplicity, considered in the past, are, in fact, cases of maximal simplicity.     

An experimental test to reveal negative side-effects of high treatability information on preventative health behaviour

Objectives: When the course of a disease can be positively changed by health professionals the disease can be indicated as ‘highly treatable’. This ‘high treatability information’ (HTI) may have negative side-effects on people’s preventative motivation. This study examined the effects of HTI regarding skin cancer on preventative motivation.

Design: This study employed a 2 (high treatability (HTI) versus low treatability (LTI)) × 2 (high versus low susceptibility)?experiment with a hanging control group. (family) History and self-efficacy were assessed as moderators. Participants (N = 309) were randomly assigned to one of the five conditions.

Main outcome measures: The main outcome was intention to engage in preventative actions regarding skin cancer.

Results: HTI significantly lowered the intention compared to LTI, under the condition of high susceptibility in people with low self-efficacy. In addition, in people with a (family) history of skin cancer, HTI significantly lowered the intention compared to the no-information group.

Conclusion: HTI regarding skin cancer can cause a drop in the preventative motivation. The effects can be conceptualised as negative side-effects of HTI. As substantial proportions of the general population have a (family) history of skin cancer or low self-efficacy, the side-effects may be widespread, possibly increasing the incidence of skin cancer.     

Predictors of adherence to aerobic exercise in rectal cancer patients during and after neoadjuvant chemoradiotherapy

This pilot study explored predictors of adherence to exercise during and after neoadjuvant chemoradiotherapy (NACRT) in rectal cancer patients. Eighteen rectal cancer patients were prescribed three supervised aerobic exercise sessions/week during NACRT followed by ≥150 min/week of unsupervised aerobic exercise after NACRT. Although not statistically significant, adherence to supervised exercise during NACRT was meaningfully better for patients who were women (d = .82; P = .12), younger (d = ?.62; P = .30), married (d = .62; P = .42), with better mental health (r = .32; P = .21), fewer diarrhea symptoms (r = .48; P = .052), and higher anticipated enjoyment (r = .31; P = .23), support (r = .32; P = .22), and motivation (r = .31; P = .23). After NACRT, adherence was significantly better for patients who reported worse mental health (r = ?.56; P = .046) and meaningfully better for patients who were women (d = .54; P = .38), better educated (d = .77; P = .22), had no comorbidities (d = ?.63; P = .17), and exercised at baseline (d = 1.05; P = .12). Demographics, tumor side effects, and motivational variables may predict adherence to exercise during and after NACRT.     

The impact of smoking cues in antismoking messages among intermittent and light smokers

Objective: Based on the Limited Capacity Model of Motivated Mediated Message Processing, this study explored the effects of smoking cues in antismoking Public Service Announcements (PSAs) on message processing among intermittent/light smokers and nonsmokers.

Method: A 2 (smoking cues: present vs. absent) × 2 (smoking status: smokers vs. nonsmokers) mixed experimental design was conducted. Self-report measures and two physiological measures including skin conductance and heart rate were examined.

Results: Messages with smoking cues generated higher levels of arousal (F = 4.57, p = .04), attention (F = 2.51, p = .04), positive message evaluation (F = 28.70, p < .001) and less intent to smoke (F = 26.60, p < .001). Intermittent and light smokers had much stronger reactions to messages containing tobacco-related visuals, including arousal (F = 4.10, p = .04), perceived ad effectiveness (F = 9.24, p = .03) and intent to smoke (F = 22.98, p < .001).

Implication: The antismoking arguments may have suppressed cue-induced smoking urges, which dampened negative persuasion outcomes. Limitations included the restricted generalisability and the focus on short-term effect. Future research may use a random sample of PSAs with a general population.     

A Study of the Opinions of College Students

ABSTRACT

When judging whether a relationship partner can be counted on to “be there” when needed, people may draw upon knowledge structures to process relevant information. We examined one such knowledge structure using the prototype methodology: indicators of a partner who is likely to be there when needed. In the first study (N = 91), the structure, content, and reliability of the prototype of indicators were examined. Then, using a false recognition study (N = 77), we demonstrated that once activated, the prototype of indicators of a partner who is likely to be there when needed affects information processing. Thus, the prototype of indicators may shape how people process support-relevant information in everyday life, affecting relationship outcomes. Using this knowledge structure may help a person process relevant information quickly and with cognitive economy. However, it may also lead to biases in judgments in certain situations.     

Degeneracy in Candecomp/Parafac and Indscal Explained For Several Three-Sliced Arrays With A Two-Valued Typical Rank

The Candecomp/Parafac (CP) method decomposes a three-way array into a prespecified number R of rank-1 arrays, by minimizing the sum of squares of the residual array. The practical use of CP is sometimes complicated by the occurrence of so-called degenerate sequences of solutions, in which several rank-1 arrays become highly correlated in all three modes and some elements of the rank-1 arrays become arbitrarily large. We consider the real-valued CP decomposition of all known three-sliced arrays, i.e., of size p×q×3, with a two-valued typical rank. These are the 5×3×3 and 8×4×3 arrays, and the 3×3×4 and 3×3×5 arrays with symmetric 3×3 slices. In the latter two cases, CP is equivalent to the Indscal model. For a typical rank of {m,m+1}, we consider the CP decomposition with R=m of an array of rank m+1. We show that (in most cases) the CP objective function does not have a minimum but an infimum. Moreover, any sequence of feasible CP solutions in which the objective value approaches the infimum will become degenerate. We use the tools developed in Stegeman (2006), who considers p×p×2 arrays, and present a framework of analysis which is of use to the future study of CP degeneracy related to a two-valued typical rank. Moreover, our examples show that CP uniqueness is not necessary for degenerate solutions to occur. The author is supported by the Dutch Organisation for Scientific Research (NWO), VENI grant 451-04-102.     

The effects of daily co-occurrence of affect on older adults’ reactivity to health stressors

Objectives: The present study examined age differences among older adults in the daily co-occurrence of affect and its potential role in buffering the negative effects of health stressors.

Design: Participants were from the Veterans Affairs Normative Aging Study and included 249 young-old adults (age = 60–79 years, M = 71.6) and 64 old-old adults (age = 80–89, M = 82.9) who completed questionnaires assessing stressors, physical health symptoms, and positive and negative affect for eight consecutive days.

Results: An independent samples t-test showed young-old and old-old adults did not significantly differ in their mean levels of daily co-occurrence of affect. The between-person relationships among stressors, health and daily co-occurrence of affect revealed that neither stressors nor health were significantly related to daily co-occurrence of affect. However, results from a multilevel model revealed a three-way cross-level interaction (health stressor × age group × co-occurrence of affect) where old-old adults with higher levels of co-occurrence of affect were less emotionally reactive to health stressors than young-old adults.

Conclusion: These findings provide support for the assertion that co-occurrence of affect functions in an adaptive capacity and highlight the importance of examining domain-specific stressors.     

The Tense Logic for Master Argument in Prior’s Reconstruction

In this paper we examine Prior’s reconstruction of Master Argument [4] in some modal-tense logic. This logic consists of a purely tense part and Diodorean definitions of modal alethic operators. Next we study this tense logic in the pure tense language. It is the logic K _t 4 plus a new axiom (P): ‘p Λ G p ⊃ P G p’. This formula was used by Prior in his original analysis of Master Argument. (P) is usually added as an extra axiom to an axiomatization of the logic of linear time. In that case the set of moments is a total order and must be left-discrete without the least moment. However, the logic of Master Argument does not require linear time. We show what properties of the set of moments are exactly forced by (P) in the reconstruction of Prior. We make also some philosophical remarks on the analyzed reconstruction. Presented by Jacek Malinowski     

Brain drawings following traumatic brain injury (TBI) and links to illness perceptions and health outcomes – Findings from a population-based study

Objective: Individuals’ illness perceptions predict health behaviours and influence functional outcomes. This study examined associations between a novel assessment of illness perceptions, in the form of adult’s brain drawings after traumatic brain injury (TBI) and questionnaire measures of illness perceptions, quality of life and post-concussive symptoms.

Design: Population-based, prospective longitudinal study examining 245 adults with predominantly mild TBI with high risk of complications.

Main outcome measures: Participants were asked to draw pictures of what they thought their brain looked like before injury and at baseline and one month post-injury. Drawing characteristics (height, width and percentage damage at one month) were examined in relation to each outcome of interest at six months.

Results: Greater damage at one month was associated with more negative illness perceptions (rs = .23), poorer mental health (rs = ?.21), and more total post-concussive symptoms (rs = .27 to r = .35) at six months. The extent of damage depicted reduced over time (p < .001). No associations were found between the amount of damage drawn and injury severity, nor the height or width of drawings and injury severity or illness perceptions.

Conclusion: Drawings post-TBI offer a simple, cost- and time-effective way to begin discussions and improve understanding of peoples’ illness perceptions.     

Disease controllability moderates the effect of coping efficacy on positive affect

Objective: This study aims to test experimentally whether coping strategies (approach- vs. avoidance-oriented coping) have differential effects under conditions of high or low stressor controllability.

Design: Undergraduates (62 women, 30 men) participated in a 2 × 2 experimental study where they were introduced to a fictitious disease (tisomerase enzyme deficiency) said to be either controllable or uncontrollable and an approach- or avoidance-oriented coping behaviour induction.

Main Outcome Measures: Changes in positive and negative affect.

Results: A significant disease control x coping interaction on positive affect (f² = .07, p = .011) revealed that approach-coping condition participants had higher positive affect than avoidance-coping condition participants when disease control was high (d = .94, p = .003), but not when it was low (d = .11, p = .93). The experimental conditions did not significantly influence negative affect.

Conclusion: Results demonstrate that disease control moderates the salubrious effects of approach-oriented coping on positive affect. For controllable, but not uncontrollable, health stressors, promoting problem-focused approach-oriented coping strategies may be recommended.     

Self-regulation and protective health behaviour: How regulatory focus and anticipated regret are related to vaccination decisions

Objective: We examined how individual motivational orientations and anticipated regret are related to the protective health decision of vaccination behaviour.

Design: The proposed relations were examined in a large-scale sample (N = 3168) and three medium-sized samples (N = 151, N = 194, N = 208). Questionnaires were applied to assess regulatory focus, anticipated regret and vaccination behaviour.

Results: Increased prevention-focused self-regulation – which is represented by concerns about security-related goals, responsibilities and obligations – was related to a greater likelihood of vaccination. Prevention-focused individuals’ higher likelihood of getting vaccinated seems at least in part to be a consequence of anticipated regret for not vaccinating. Study 3 suggests that regulatory focus is less related to vaccination decisions when regret is increased by the decision-making context; that is, when information highlighting vaccination effectiveness and a low likelihood of adverse responses is provided.

Conclusion: Prevention-focused self-regulation is related to a greater likelihood of engaging in health-protective behaviour. This can be explained by prevention-focused individuals’ greater tendency to anticipate regret about getting ill as a consequence of not adopting protective measures. If people perceive a protective measure such as a vaccination as highly effective, anticipated regret for not adopting it is generally increased, and individual differences in regulatory focus no longer predict the decision.     

Reciprocal within-day associations between incidental affect and exercise: An EMA study

Previous research suggests that how people feel throughout the course of a day (i.e. incidental affect) is predictive of exercise behaviour. A mostly separate literature suggests that exercise can lead to more positive incidental affect.

Objective: This study examines the potential reciprocal effects of incidental affect and exercise behaviour within the same day.

Design: Fifty-nine low-active (exercise <60 min/week), overweight (BMI: 25.0–39.9) adults (ages 18–65) participated in a six-month print-based exercise promotion programme.

Main outcome measures: Ecological momentary assessment was used to record self-reported exercise sessions in real time and incidental affective valence (feeling good/bad) as assessed by the 11-point Feeling Scale at random times throughout the day.

Results: Use of a within-subjects cross-lagged, autoregressive model showed that participants were more likely to exercise on days when they experienced more positive incidental affect earlier in the day (b = .58, SE = .10, p < .01), and participants were more likely to experience more positive incidental affect on days when they had exercised (b = .26, SE = .03, p < .01), with the former association significantly stronger than the latter (t = 23.54, p < .01).

Conclusion: The findings suggest a positive feedback loop whereby feeling good and exercising are reciprocally influential within the course of a day.     

Phase stability of Al3Nb as a function of nickel additions

Abstract

Phase stability of the intermetallic compound Al₃Nb is investigated as a function of nickel additions by band structure calculations based on an extended Hueckel tight-binding method. With this method, the electronic structure and total energies of the Al_6-n -Ni _n Nb₂ compounds (where n is an integer from 0 to 6) are calculated for both D0₂₂ and L1₂ structures under the assumption that nickel substitutes for aluminium. The electronic total energies obtained from integration of the energy states of all electrons considered have shown that the D0₂₂ structure is stable in the binary Al₃Nb compound as compared with the L1₂ structure; conversely, the L1₂ structure is stable for compounds with n values greater than 1. These calculations are in good agreement with X-ray diffraction results reported by Schubert and co-workers. Differences in the electronic total energy per atom between D0₂₂ and L1₂ are - 0·79 eV and 0·56 eV for n equal to 0 and 2, respectively.     

The Cohen–Hoberman inventory of physical symptoms: Factor structure,and preliminary tests of reliability and validity in the general population

Objective: The present study aimed to investigate the factor structure and psychometric properties of the Cohen–Hoberman inventory of physical symptoms (CHIPS). Construct and discriminant validity were examined by assessing associations between factors and subjective health complaints (SHC) inventory subscales in addition to measures of pain sensitivity, perceived stress and psychological distress.

Design: A cross-sectional online survey was conducted with 535 healthy individuals from the general population (80.6% female, mean age = 29.80).

Main outcome measures: Participants completed CHIPS, SHC, perceived stress scale, pain sensitivity questionnaire, and hospital anxiety and depression scale.

Results: Principal components analysis demonstrated that CHIPS comprised 8 ‘symptoms’ factors as follows; ‘sympathetic/cardiac’ (7 items; α = .827), ‘muscular’ (6 items; α = .752), ‘metabolic’ (5 items; α = .736), ‘gastrointestinal’ (5 items; α = .714), ‘vasovagal’ (4 items; α = .743), ‘cold/flu’ (2 items; α = .837), ‘headache’ (2 items; α = .690) and ‘minor haemorrhagic’ (2 items; α = .309). Significant correlations were observed between factors and SHC subscales (moderate-high), pain sensitivity (negligible-low) and levels of perceived stress and anxiety (low-moderate) indicating good construct, and discriminant validity, respectively.

Conclusions: CHIPS is a multidimensional and internally consistent measurement of physical symptoms. The postulated factor structure may be used for research purposes particularly in health psychology, to consistently differentiate between clusters of self-reported symptoms.     

Altruism in adolescents and young adults: validation of an instrument to measure generative altruism with structural equation modeling

Aim of this study was to develop and test a research instrument to measure generative and functional altruism in adolescents/young adults. In an anonymous questionnaire survey using standardised questionnaires, 873 students were recruited in academic high schools and professional schools. The 7-item Generative Altruism Scale (GALS), which includes affective and behavioural elements, correlated with relevant external measures that correspond with the underlying construct. Confirmatory factor analysis proved an acceptable model fit with characteristics of χ² [df = 14, N = 846] = 129.946, p < .001, CFI = .91, AIC = 157.946, and SRMR = .048. Female and male students differed significantly with respect to altruism scores (F = 25.5; p < .0001). The GALS could be used for empirical studies analysing the connection between altruism and the development of ethical values and prosocial behaviour. Particularly, compassion as an intrinsic motivator could be fostered in appropriate education programmes.     

Differential attrition in health behaviour change trials: A systematic review and meta-analysis

Objective: Attrition is a common problem in health behaviour change (HBC) trials. When the degree of attrition differs between treatment conditions, then this is called differential attrition and is regarded as a major threat to internal validity. The primary research question of this study was: how often and to what degree does differential attrition occur in HBC trials?

Design: A systematic review and meta-analysis of a random selection of HBC trials (k = 60). We meta-analysed the relative attrition rates using a random-effects model and examined the relationship between the relative attrition rates and the potential moderators: the amount of human contact in delivery and the intensity of the intervention/control condition, the type of control condition, and the follow-up intensity and duration.

Main outcome measures: Relative attrition rates.

Results: The average attrition rate was 18% (SD = .15; M = .15) in the intervention and 17% (SD = .13; M = .13) in the control conditions. The estimated average relative attrition rate was 1.10 (95% CI: 1.01–1.20, p = .02), suggesting an overall higher attrition rate of 10% in the intervention conditions. This relative attrition rate was not related to any of the potential moderators.

Conclusion: There is indication of a slightly higher amount of attrition on average in the intervention conditions of HBC trials.     

On the least-squares orthogonalization of an oblique transformation

After proving a special case of a theorem stated by Eckart and Young, namely, that an oblique transformationG is the product of two different orthogonal transformations and an intervening diagonal, this note shows that the best fitting orthogonal approximation toG is obtained simply by replacing the intervening diagonal by the identity matrix. This result is shown to be identical with two earlier orthogonalizing procedures whenG is of full rank. A multiplicity of solutions is shown for the case of a singularG.I am grateful to J. J. Mellinger for pointing out a flaw in a previous version of this paper.Opinions expressed herein are those of the author, not necessarily those of the Army.     

In search of an imaginary enemy: Catholic collective narcissism and the endorsement of gender conspiracy beliefs

ABSTRACT

Gender studies have often been criticized for undermining family and religious values. In this paper, we argue that these criticisms exhibit the characteristics of conspiracy theories. We define gender conspiracy beliefs as convictions that gender studies and gender-equality activists represent an ideology secretly designed to harm traditional values and social arrangements. In two studies conducted among Catholics in Poland (Study 1 N= 1019; Study 2 N= 223), we examined the prevalence of gender conspiracy beliefs and their psychological concomitants. We hypothesized that gender conspiracy beliefs should be associated with a defensive identification with one’s religious group, captured by religious collective narcissism. In both studies, Catholic collective narcissism was demonstrated to be a robust predictor of gender conspiracy beliefs. We additionally demonstrated that Catholic collective narcissism predicted outgroup hostility, and this effect was mediated by gender conspiracy beliefs. We discuss the implications for gender-based prejudice.