Testing two variances for superiority/non-inferiority and equivalence: Using the exhaustion algorithm for sample size allocation with cost

The equality of two group variances is frequently tested in experiments. However, criticisms of null hypothesis statistical testing on means have recently arisen and there is interest in other types of statistical tests of hypotheses, such as superiority/non-inferiority and equivalence. Although these tests have become more common in psychology and social sciences, the corresponding sample size estimation for these tests is rarely discussed, especially when the sampling unit costs are unequal or group sizes are unequal for two groups. Thus, for finding optimal sample size, the present study derived an initial allocation by approximating the percentiles of an F distribution with the percentiles of the standard normal distribution and used the exhaustion algorithm to select the best combination of group sizes, thereby ensuring the resulting power reaches the designated level and is maximal with a minimal total cost. In this manner, optimization of sample size planning is achieved. The proposed sample size determination has a wide range of applications and is efficient in terms of Type I errors and statistical power in simulations. Finally, an illustrative example from a report by the Health Survey for England, 1995–1997, is presented using hypertension data. For ease of application, four R Shiny apps are provided and benchmarks for setting equivalence margins are suggested.     

Regression II. Development through regression

As shown in our previous paper (‘Regression I. Experimental approaches to regression’, JAP, 65, 2, 345-65), the common mechanism of regression can be described as reversible dedifferentiation, which is understood as a relative increase of the proportion of low-differentiated (older) systems in actualized experience. Experimental data show that regression following disease (chronic tension headache) is followed by adaptation and an increase in system differentiation in that experience domain which contains systems responsible for that adaptation. The results of mathematical modelling support the idea that reversible dedifferentiation can be one of the mechanisms for increasing the effectiveness of adaptation through learning. Reversible dedifferentiation, which is phenomenologically described as regression, is a general mechanism for restructuring the organism-environment interactions in situations where behaviours that were effective in the past become ineffective. Reversible dedifferentiation has evolved as a component of adaptation when new behaviours are formed and large-scale modifications in the existing behaviours are required in the face of changes in the external and/or internal environment. Thus, the authors believe that this article provides evidence for Jung’s view that regression is not only a ‘return’ to past forms of thinking, affects and behaviour, but that regressive processes provide a significant impetus for psychological growth and development.     

How representations of number and numeracy predict decision paradoxes: A fuzzy-trace theory approach

Higher numeracy has been associated with decision biases in some numerical judgment-and-decision problems. According to fuzzy-trace theory, understanding such paradoxes involves broadening the concept of numeracy to include processing the gist of numbers—their categorical and ordinal relations—in addition to objective (verbatim) knowledge about numbers. We assess multiple representations of gist, as well as numeracy, and use them to better understand and predict systematic paradoxes in judgment and decision-making. In two samples (Ns = 978 and 957), we assessed categorical (some vs. none) and ordinal gist representations of numbers (higher vs. lower, as in relative magnitude judgment, estimation, approximation, and simple ratio comparison), objective numeracy, and a nonverbal, nonnumeric measure of fluid intelligence in predicting: (a) decision preferences exhibiting the Allais paradox and (b) attractiveness ratings of bets with and without a small loss in which the loss bet is rated higher than the objectively superior no-loss bet. Categorical and ordinal gist tasks predicted unique variance in paradoxical decisions and judgments, beyond objective numeracy and intelligence. Whereas objective numeracy predicted choosing or rating according to literal numerical superiority, appreciating the categorical and ordinal gist of numbers was pivotal in predicting paradoxes. These results bring important paradoxes under the same explanatory umbrella, which assumes three types of representations of numbers—categorical gist, ordinal gist, and objective (verbatim)—that vary in their strength across individuals.     

Adding versus averaging: Evaluability theory applied to job choice decisions

While the unique roles of individual job attributes (e.g., salary and benefits) in job and organizational attraction have received extensive research attention, research examining the mechanisms through which an overall evaluation of a job option is made by combining evaluations of individual attributes is scarce. The current study examined the process through which job choice decisions are made under three conditions: when evaluating a single job offer, when comparing two job offers, and when evaluating more than two job offers. In Study 1, it was found that when a single job offer is evaluated, the average of perceived values of attributes in an offer (e.g., the perceived attractiveness of a salary) drives the choice, whereas the difference between jobs is what matters when two jobs are evaluated simultaneously, potentially leading to a preference reversal between conditions when the same two jobs are evaluated. In Study 2, it was found that average values of attributes across options (e.g., average salary in all job offers received) influence job choice when more than two job offers are evaluated simultaneously. These findings indicate that in all three conditions, job choice decisions are influenced by the evaluability of the choice set, which becomes low when a single job offer is evaluated without any context, or when more than two job offers are evaluated simultaneously, and becomes high when two jobs are compared with each other. When evaluability is low, candidates resort to averaging as the decision rule, whereas adding is used when evaluability is high.     

Providing more or less detailed information in job advertisements—Does it matter?

Job advertising is a common and useful recruitment marketing method that is available to a wide range of candidates and offers a practical way to widen the applicant pool. Frequently, retail advertisements only briefly introduce job requirements, but others provide more detailed information. Existing message studies, however, are inconclusive about the effectiveness of message specificity. A scenario‐based experiment that included 164 participants revealed that the type of decision maker (maximizer or satisficer) moderates the specificity effects in recruitment messages. After receiving a detailed job message, more satisficers stop their search process, but only maximizers perceive the company as more attractive and increase intentions toward the advertised job. A follow‐up qualitative study involving 30 participants provided further insights.     

Cognitive complexity of social images revealed by Jewish Israeli adolescents relating to drawings of Jews and Arabs

The present study examined age‐related differences among Israeli youth regarding the complexity of their mental images of Jews and Arabs, two groups that are adversaries in the Middle East conflict. The participants, 494 Jewish children and adolescents ranging from 8–16 years old each, drew two human figures, one Jewish and one Arab, and then attributed a forename and a profession to each drawn image. Four complexity variables were scored as follows: image complexity (number of items included in the figure), embellishments (number of items added to the drawing and in the space around the figure), image name, and image profession. Overall, participants depicted members of their in‐group as more complex. However, early adolescence was found to be a critical age at which differences emerged. The findings suggest that introducing complexity to social representations in early adolescence may facilitate prevention of negative associations related to outgroups and enhance intervention to reduce stereotypes, prejudice, and racism.     

Perceived discrimination is associated with poorer health and well‐being outcomes among Pacific peoples in New Zealand

Our study investigated the association between perceived discrimination and outcomes related to health and well‐being for Pacific adults in New Zealand. We examined personal and group discrimination from the 2013 wave of the New Zealand Attitudes and Values Study (n = 429 women and 196 men). Personal discrimination was associated with poorer health and well‐being outcomes (higher psychological distress and lower self‐esteem, subjective evaluation of health, satisfaction with life and personal well‐being). Group discrimination, in contrast, was associated with poorer well‐being but not health outcomes (lower subjective evaluation of health and personal well‐being). These findings corroborate previous research and highlight the corrosive effect of discrimination towards health and well‐being among Pacific communities in New Zealand.     

Sticking to common values: Neighbourhood social cohesion moderates the effect of value congruence on life satisfaction

This article aims to explicate the role of social cohesion in the relationship between adherence to common values and life satisfaction. Shared values are often assumed to be a constitutive element of social cohesion and are used in measurement of the concept. However, sociopsychological theory of values sees social cohesion rather as a moderator of the link between value congruence and life satisfaction, not as a constituent of value congruence. Based on a representative survey of the city of Bremen, Germany (N = 2605), we predict life satisfaction from person‐group value congruence and neighbourhood social cohesion. We find no relationship between value congruence and social cohesion, but a significant positive moderating effect of social cohesion on the relationship between value congruence and life satisfaction. The findings suggest that sticking to common values does not increase social cohesion, but that positive effects of value congruence are more pronounced in high‐cohesion neighbourhoods.     

Shivering for Status: When Cold Temperatures Increase Product Evaluation

While anecdotal evidence suggests that consumers maintain an association between high‐status products and cold temperature, no research has empirically examined this linkage. We propose and demonstrate that physical cold can indeed increase consumers’ perceptions of a product's status signaling and luxuriousness. We demonstrate this consequence can stem from tactile or visually induced temperatures and ultimately increase consumers’ overall evaluations of products. Finally, we highlight boundary conditions for when the effect is likely to manifest. Our findings offer theoretical contributions along with several practical implications for retailing, product design, brand management, and marketing communications.