A note on Marshallian and von Neumann-Morgenstern utility

The curvature of a decision maker's utility function is often used to measure his risk preference. In order to comprehensively describe an individual's decision making behaviour, however, it would also seem desirable to measure the gain in utility from an increase in wealth or income before accounting for risk. If a small increase in wealth leads to a large utility gain, then it could be said that the individual's aspiration to achieve the wealth increase would be high. This aspiration, however, may be more than offset by the risk involved in obtaining this extra wealth and the individual's attitude towards risk. In the following paper it is shown how the marginal utility of Marshall can be used in a measure of aspiration with this measure then combined with the usual measure of risk preference to explain the shape of any individuals utility curve. Using these measures, a general utility curve for all income or wealth classes is postulated.The author would like to thank Professor I. Horowitz for providing the inspiration that led to his note. Any errors are the responsibility of the author.     

The Association Between Adolescent Life Satisfaction, Family Structure, Family Affluence and Gender Differences in Parent–Child Communication

The study sought to examine young people’s life satisfaction in the context of the family environment, using data from the 2006 HBSC: WHO-collaborative Study in Scotland (N = 5,126). Multilevel linear regression analyses were carried out for 11-, 13- and 15-year old boys and girls, with outcome measure ridit-transformed life satisfaction. The study found there to be a relationship between family structure and life satisfaction for boys and girls aged 13 and 15 years. Family affluence mediated this relationship, however the extent of this mediation depended both on age and gender. For both boys and girls at all ages, life satisfaction was more strongly associated with parent–child communication than with family structure or family affluence. After adjustment for risk/health behaviours and attitudes towards peers and school, family structure remained significant for boys aged 13 years only. Whereas difficult parent–child communication acted as a risk factor of low life satisfaction for boys and girls, easy communication acted as protective factor among girls only.     

Estimation of the cumulative incidence function under multiple dependent and independent censoring mechanisms

Competing risks occur in a time-to-event analysis in which a patient can experience one of several types of events. Traditional methods for handling competing risks data presuppose one censoring process, which is assumed to be independent. In a controlled clinical trial, censoring can occur for several reasons: some independent, others dependent. We propose an estimator of the cumulative incidence function in the presence of both independent and dependent censoring mechanisms. We rely on semi-parametric theory to derive an augmented inverse probability of censoring weighted (AIPCW) estimator. We demonstrate the efficiency gained when using the AIPCW estimator compared to a non-augmented estimator via simulations. We then apply our method to evaluate the safety and efficacy of three anti-HIV regimens in a randomized trial conducted by the AIDS Clinical Trial Group, ACTG A5095.     

Child well-being before and after the 2020 COVID-19 lockdowns in three Australian states

This paper reports on changes in the social-emotional well-being of 6- to 12-year-old children tested before the COVID-19 pandemic and during 2020 and 2021. Well-being was assessed using a video game that empowers children to report their own well-being, including school attachment, social and emotional well-being, behavioural conformity and family support. We compared well-being over time for two groups of children in government schools in Queensland, Western Australia and Tasmania. The treatment group of 580 children were tested in 2019 (Time 1) and a second time in mid-late 2020 and early 2021 (Time 2). The comparison group of 841 children were tested twice before the pandemic. Results showed that children in the treatment group reported significantly lower family support at Time 2 than those in the comparison group. This reduction in perceived family support was stronger for girls. In addition, children in the treatment group who reported lower levels of family support at Time 1 reported a steeper decline in family support by Time 2. Finally, boys in the treatment group reported significantly better behavioural conformity and emotional well-being relative to girls over time. Results highlight the varied impacts of the pandemic lockdowns and the need to provide continued support to vulnerable families.     

Using a “child's‐eye view” of social success to understand the importance of school readiness at the transition to formal schooling

Recent research into school readiness has highlighted the importance of not only children's cognitive and socio‐emotional skills, but also the degree to which they have family support in the home. The current study examines the association between social success upon school entry and teacher‐ratings of school readiness as assessed by the Brief Early Skills and Support Index (BESSI), controlling for language ability. Importantly, social success was assessed using a “child's‐eye view” with peer‐reported assessments of both social preference and reciprocated friendships. A total of 244 children (131 boys, M_age = 61 months, SD = 4.78 months) in their first year of formal schooling participated. Child school readiness was found to be important for social preference, with the association being more marked for boys versus girls. Family support was the only independent predictor of children's reciprocated friendships. The use of the BESSI, with its broad scope compared to other measures of school readiness, highlights the importance of focusing both on a child's cognitive and socio‐emotional skills at school entry and their family support when exploring the association of school readiness to children's social success at the transition to formal schooling.     

Maternal depression and children’s false belief understanding

Children of depressed mothers show substantial social impairment, which increases their risk for developing depression. Theory of mind understanding forms the basis of social functioning, and is impaired in children of currently depressed mothers. Models of risk emphasize that a history of any maternal depression confers risk to later psychopathology. Therefore, we tested a novel model of the impact of lifetime maternal depression on children’s false belief understanding that accounts for three primary factors that scaffold this understanding: maternal mental state talk, and children’s executive functioning and language abilities. Children aged 41–48 months with a maternal lifetime history of major depressive disorder (MDD; n = 19) performed significantly more poorly on the false belief battery compared to those without (n = 44). Further, lower levels of mental state talk, child executive functioning, and child language ability were significantly associated with poorer false belief scores. However, the relation between maternal MDD and children’s false belief performance was not mediated by any of these factors. These results indicate that maternal depression predicts poorer false belief understanding independently of other crucial scaffolding variables, and may be a social cognitive mechanism underlying the intergenerational transmission of depression.     

‘Speak roughly to your little boy’? Sex Differences in the Relations Between Parenting and Preschoolers’ Understanding of Mind

The present study explores relations between young children's understanding of mind and parental emotional expression and disciplinary style, along with gender differences in these relations. Participants were recruited from a study of 125 same-sex twin-pairs (58% female; group mean age 5 43 months, SD 5 1 month). Each child received a comprehensive set of theory-of-mind tasks, and was filmed at home for 20 minutes in dyadic interactions with the primary caregiver, who was also interviewed about disciplinary strategies. Ratings of discipline and positive and negative parental affect and control were made from direct observation, from the interview, and from the videoed interactions. Strong correlations were found between family SES, parenting measures, and child verbal IQ and theory-of-mind score. However, regression analyses showed that parental behaviours were significant predictors of children's theory-of-mind performance, even when sex, verbal IQ and family SES were taken into account. Sex differences in these relations were also identified; parental affect was especially salient for understanding of mind in girls, while discipline was more salient for boys. Taken together, these findings highlight the importance of individual differences in the proximal processes associated with early understanding of mind, and suggest that development in mental-state awareness is associated with distinct aspects of parenting for girls and boys.     

International Ethical Safeguards: genetics and people with learning disabilities

This paper discusses the ethical issues and international standards relating to genetic research on people with learning disabilities. Research protocols must acknowledge the people who are subjects of such research and must reflect emerging disability philosophies. This research provides a brief historical context and considers five issues of fundamental importance to people with learning disabilities through a discussion of participation in the research design, independent advocacy, justice, non-discrimination and autonomy. These concerns have been investigated in England and abroad, and it is therefore valuable to undertake a review of the legal and ethical context of genetic research for vulnerable people who may be deemed unable to provide consent.