Hierarchies achievable in simple games

A previous work by Friedman et al. (Theory and Decision, 61:305–318, 2006) introduces the concept of a hierarchy of a simple voting game and characterizes which hierarchies, induced by the desirability relation, are achievable in linear games. In this paper, we consider the problem of determining all hierarchies, conserving the ordinal equivalence between the Shapley–Shubik and the Penrose–Banzhaf–Coleman power indices, achievable in simple games. It is proved that only four hierarchies are non-achievable in simple games. Moreover, it is also proved that all achievable hierarchies are already obtainable in the class of weakly linear games. Our results prove that given an arbitrary complete pre-ordering defined on a finite set with more than five elements, it is possible to construct a simple game such that the pre-ordering induced by the Shapley–Shubik and the Penrose–Banzhaf–Coleman power indices coincides with the given pre-ordering.     

Estimation for semi-Markov models with partial observations via self-consistency equations

Nonparametric estimators of the survival function S(t) = P(T ≥ t) for a partially observed time variable T have been defined by several methods, in particular, by integral self-consistency equations. The author establishes explicit expressions of the estimators in an additive form and extend this approach to several cases: a left-truncated and right-censored variable and the left-censored or left-truncated sojourn times of a right-censored semi-Markov process. These estimators are always identical to the product-limit estimators if hazard functions may be defined.     

Testing the Personal Wellbeing Index on 12–16?Year-Old Adolescents in 3 Different Countries with 2 New Items

The 7-item adult version of the Personal Wellbeing scale (Cummins et al. Social Indic Res 64:159?C190, 2003) was administered to two samples of adolescents aged 12?C16 in Brazil (N?=?1,588) and Spain (N?=?2,900), and to a sample of adolescents aged 14?C16 in Chile (N?=?843). The results obtained were analyzed to determine its psychometric characteristics when used with adolescents in the three different countries and to check whether two additional items would improve its qualities. Results reveal that the new PWI-9 version worked well with the adolescents in the three countries, improving some of the qualities of the PWI-7. One of the added items, satisfaction with oneself, appears to be a major contributor to unique explained variance when regressed on the single-item of overall life satisfaction (OLS). The model we present using structural equations shows good fit statistics for the factor structure, with both 7 and 9 items. Separate in-country analyses demonstrate that cultural context has a strong influence on correlations and saturations between the studied variables and also on the explained variance. Probably related to this fact, the Model fit structure is good in Brazil (with a low PWI variance accounted for by its predictors) and Spain (medium), but rather modest in Chile, where data show a high proportion of the PWI variance accounted for by its predictors. However, a multi-group factor analysis among the three countries restricting saturations to 1 in each country in order to make data comparable across countries still show a good fit of the proposed model for both PWI-7 and PWI-9.     

The Values Adolescents Aspire to,Their Well-being and the Values Parents Aspire to for Their Children

This paper presents a study of the relationship between the psychological well-being of Spanish adolescents from 12 to 16 years old and the values they aspire to for the future (N = 1,618). Adolescents’ well-being is explored through (a) their satisfaction with 19 specific life domains, (b) the Personal Well-Being Index (Cummins, Social Indicators Research, 43, 307−334, 1998) and (c) an item on overall satisfaction with life. The values they aspire to are explored by means of a list of 23 personal qualities or values. Satisfaction domains and values aspired to have been grouped into dimensions using principal component analysis (PCA). Boys scored significantly higher on the materialistic values dimension and the capacities and knowledge related values dimension, while girls scored higher on the interpersonal relationship related values dimension. The youngest adolescents scored higher on materialistic values, while the oldest scored higher on interpersonal relationships related values. Such results are similar to those obtained in a previous study, using a shorter version of the lists of satisfaction domains and of values aspired to and a sample of 8,995 adolescents and 4,381 of their parents from five different countries. In both studies results suggest that values aspired to can be considered a well-being related construct. However, an important change appears in the latest Spanish sample: Family values no longer fit with the interpersonal relationships related values dimension in the PCA, and now function as a separate value dimension which shows no correlation with overall life satisfaction, the PWI, or life satisfaction domains with the exception of family satisfaction. Interestingly, family values have also changed their loading dimension in the PCA developed with the answers from a sample of parents about the values they aspire to for their own child’s future (N = 723). Parents’ responses were compared with those of their own child, with concordances observed in about half of the families, low discrepancies in about one third and high or very high discrepancies in about 20%. Although the results of this study have their limitations, they suggest support for the hypothesis that important changes in values aspired to may be taking place over a short period of time, consistent with the findings of changes in values in several countries (Inglehart, Modernization and postmodernization. Cultural, economic and political change in 43 societies, Princeton: Princeton University Press, 1997), but apparently with no outstanding impact on adolescents’ well-being.     

Subjective well‐being: what do adolescents say?

The aim of this paper is to analyse how 10‐ to 15‐year‐old adolescents define their own perceptions of well‐being and the factors influencing it at their age. Ten focus groups were organized, two from each age group. One group for each age included the students with the lowest scores in subjective well‐being (SWB) and the other included those with the highest, according to their responses to previously administered psychometric scales. The views of the participating adolescents were explored by means of a content analysis. In general, the children mentioned both positive and negative elements of participating in defining what constitutes well‐being. According to these children, well‐being is related to both affects and attitudes, relations with family and friends being key factors in it. Differences in the information provided reveal some variations according to age and SWB score. Children scoring lower in SWB tend to refer more to relationships with friends and basic needs covered, whereas those scoring higher tend to refer more to family relationships and not having problems. The results of this research can contribute to both social policy design and appraisal as they provide an in‐depth understanding of how SWB works at these ages.     

School Satisfaction Among Adolescents: Testing Different Indicators for its Measurement and its Relationship with Overall Life Satisfaction and Subjective Well-Being in Romania and Spain

This paper presents results from two samples of adolescents aged 13–16 from Romania and Spain (N = 930 + 1,945 = 2,875). The original 7-item version of the Personal Well-Being Index (PWI) was used, together with an item on overall life satisfaction (OLS) and a set of six items related to satisfaction with school. A confirmatory factor analysis of the six school satisfaction items shows good fit statistics when relating them to a latent variable. However, said latent variable does not show a good fit when related to the OLS or the PWI. Tests have led to the conclusion that the item that best summarises satisfaction with school is “satisfaction with my life as a student”. Adding this item to the PWI-7 has shown a good fit with Structural Equation Modeling and higher standardised loading on the OLS. The analysis developed here, while confirming that the inclusion of a domain on satisfaction with school life contributes to the PWI with unique variance (2.5 % in this research), also offers an explanation for the surprising results obtained for adolescents in other countries (e.g. in Australia, Tomyn and Cummins in Soc Indicat Res 101(3):405–418 2010) by showing that satisfaction with friends at school and satisfaction with classmates did not significantly contribute to satisfaction with school. Our results suggest that school satisfaction is highly related to satisfaction with teachers, but weakly related to overall life satisfaction, while satisfaction with school friends and satisfaction with classmates are highly related to overall life satisfaction, but weakly related to satisfaction with school. Satisfaction with life as a student seems to be the item that best reconciles this “paradox” (in adults’ eyes), at least with our samples of Romanian and Spanish adolescents.     

Life-Satisfaction, Values and Goal Achievement: The Case of Planned Versus by Chance Searches on the Internet

The relation between life domains satisfactionand overall life satisfaction, values,internal/external perceived control and theoption of planning or by chance searchinginformation on the Internet has been exploredin a sample of Spanish adolescents aged 12 to16 (N=968). Age and sex differences have beenexamined. Results clearly confirm a positiverelation between satisfaction with life domainsand overall satisfaction with life.Satisfaction with life as a whole shows also tobe positively correlated with non-materialisticvalues. Perceived control shows to be, onceagain, a key construct to understand bothlife-satisfaction of adolescents and theirbehavioural intentions to plan or not to plantheir action to fulfil intended goals. A clearpattern between external and internal perceivedcontrol stems from our analysis: subjectsreporting to rely on chance when searchinginformation show higher external perceivedcontrol while respondents who prefer to planshow higher internal perceived control. Themore satisfaction expressed with learningrelated items (satisfaction with schoolperformance, learning, and preparation forfuture), with family and with life as a whole,the more tendencies are observed among therespondents to plan their search. No directrelation has been observed between values andbehavioural intentions to plan or not to planaction to fulfil intended goals. Perceivedcontrol, but also satisfaction with some lifedomains and with life as a whole seem to act asmediating factors between behaviouralintentions and values.     

The Subjective Well-being of Adolescents from Two Different Cultures: Applying Three Versions of the PWI in Algeria and Spain

This paper analyses the crosscultural comparability of well-being among 13–20 year-old adolescents using two samples, one from Oran County (Wilaya) in Algeria and another from Catalonia (Spain). The following are used as well-being indicators: a modified version of the original Personal Well-being Index (PWI) (Cummins et al. in Soc Indicat Res 64:159–190, 2003b), a single-item scale on overall life satisfaction (OLS) and a list of complementary items on satisfaction with various life domains. This research tests the original version of the PWI with some changes and two other versions with additional items. Confirmatory factor analyses show good fit statistics for the three versions with the pooled sample of adolescents from the two countries. The multigroup models show that correlations and regressions may be compared between the two samples, but not means, probably due to different cultural response styles among adolescents in the two countries. Structural equation models including OLS also show good fit statistics. When gender and age are included in these models, the former does not show any correlation with PWI11 in either of the two countries, whereas age shows a clearly negative correlation in both. A new version of the PWI with 11 items has shown higher standardized regression coefficients when the items are regressed on OLS and higher R² and each of the items has shown to contribute with unique explained variance using the pooled sample, although 3 of the original scale items do not show a significant contribution in Algeria. The fact that a multigroup model using this 11-item version shows good fit with constrained loadings when comparing samples from such different cultural and linguistic contexts as Catalonia and Algeria offers new opportunities for international comparative research of adolescents’ subjective well-being.     

Perceptions of Stigmatization and Satisfaction with Services Received,Among Users of Social Welfare Services for the Child and the Family in 3 European Regions

A system of psychosocial indicators, based on atheoretical model describing stigma perceptions byusers and practitioners of social welfare services forchildren and their families, was tested in 3 Europeanregions: Catalonia (Spain), Wales and the Netherlands.Data collection from users included questions on theirsatisfaction with the professional providing theservice and on their involvement in decisions abouthim/her and his/her family. In the Catalan sample oneadditional item asked about satisfaction with theoverall support received.Multiple correspondence analysis showed a consistentpattern of answers for our construct stigmaperceptions, using our indicators system.Discriminant analysis showed that our model works withattributions as expected in 86,32% of cases.Surprisingly, in the discriminant analysis all thesatisfaction indicators were excluded by the stepwisemethod, showing no strong relation between stigmaperception related to a service, and satisfactionusing such a service.Such results suggest that service users clearlydiscriminate between the fact that a service isfunctioning in a stigmatizing way, and the fact theyare satisfied or not with the practitioner helpingthem, with services involving them in decisions, orwith the overall support received from welfareservices.