A note on stratification and gain in precision in estimating diversity from large samples

Several indices of entropy have been suggested in the literature as weighted diversity measures of a population with respect to a classification process. Among them, Shannon's entropy and Havrda -Charvát's non-additive entropies of order a, have been exhaustively used.

When the population is finite but too large to be censused, the diversity with respect to a given classification process must be estimated from a sample.

In this note, on the basis of an asymptotic study of the sample indices in the stratified random sampling, we are going to confirm that when we deal with large samples one can guarantee a gain in precision from stratified random over simple random sampling. This gain becomes considerable when the ‘inaccuracy" (as intended by Kerridge and Rathie and Kannapan) between the frequency vector in each stratum and that in the whole population, varies greatly from stratum to stratum.     

Social Indeterminacy

An extension of Condorcet's paradox by McGarvey (1953) asserts that for every asymmetric relation R on a finite set of candidates there is a strict‐preferences voter profile that has the relation R as its strict simple majority relation. We prove that McGarvey's theorem can be extended to arbitrary neutral monotone social welfare functions that can be described by a strong simple game G if the voting power of each individual, measured by the Shapley–Shubik power index, is sufficiently small. Our proof is based on an extension to another classic result concerning the majority rule. Condorcet studied an election between two candidates in which the voters' choices are random and independent and the probability of a voter choosing the first candidate is p>1/2. Condorcet's jury theorem asserts that if the number of voters tends to infinity then the probability that the first candidate will be elected tends to one. We prove that this assertion extends to a sequence of arbitrary monotone strong simple games if and only if the maximum voting power for all individuals tends to zero.     

Unbiased estimation of income inequality

In a previous paper Gastwirth shows that a broad family of measures of inequality can be accurately estimated when the tax data are known in groups (more precisely, when we know the number of returns in each of several class intervals and their corresponding average income). In the present paper we show that some measures of the preceding family can be unbiasedly estimated when the tax data are individually known for a sample from the population. Specifically, we construct unbiased estimators of a particular measure of inequality in the samplings with and without replacement, and in the stratified samplings with and without replacement.     

Coparenting and Children’s Adjustment to Divorce: The Role of Geographical Distance from Fathers

After divorce, shorter distances between parents’ homes are often seen as facilitating nonresident fathers’ involvement with their children, good coparenting practices, and children’s well-being. However, few studies have explored how geographical distance relates to coparenting and children’s adjustment. Moreover, the direction of causality remains unclear, as uninvolved fathers due to paternal disinterest, maternal gatekeeping, or interparental conflict are more likely to move farther away from their children. Based on a probability sample of 144 divorced mothers of school-aged children living in Geneva, Switzerland, this study explores how the distance between parents’ homes relates to maternal promotion of the father–child relationship (cohesive coparenting) and children’s emotional and behavioral outcomes. Results show that cohesive coparenting relates more to frequent father–child contacts by phone or e-mails than to residential proximity. Both cohesive coparenting and fathers’ residential proximity have positive and independent effects on children’s adjustment. Children whose fathers live nearby exhibit fewer behavioral difficulties and more prosocial behavior than children whose fathers live far away. These findings suggest that frequent contacts by phone or e-mail can substitute for distance in coparenting, but geographical proximity still matters for fathers’ contribution to children’s well-being. Overall, this study recommends that spatial and mobility dimensions should receive more attention in divorce research.     

Pedophiles in the Ultra-Orthodox Haredi Sector in Israel: Thought Processes Regarding their Actions

ABSTRACT

This study explores thought patterns of Jewish Ashkenazi Ultra-Orthodox pedophiles in Israel and how they resolve the contradiction between their commitment to Jewish Law and having committed sexual offenses against minors. Ten adult men participated in this study. Using open semistructured interviews, their cognitive distortions before, during, and after the abuse were examined. Content analysis revealed that participants used cognitive distortions based on their own world of Jewish Law and social-cultural values. The insular nature of Ultra-Orthodox society and its many prohibitions, especially regarding sexuality, tempted offenders to test boundaries. When sexual drive was high, internal control mechanisms were ineffective even in presence of external control mechanisms. Some participants recognized the contradiction between their behaviors and being Ultra-Orthodox Jews, and others did not. Based on the findings, a flow chart was devised describing the cognitive processes of Jewish Ultra-Orthodox pedophiles. Theoretical and practical implications of the results were examined.     

Incomplete Preferences Under Uncertainty: Indecisiveness in Beliefs versus Tastes

We investigate the classical Anscombe–Aumann model of decision‐making under uncertainty without the completeness axiom. We distinguish between the dual traits of “indecisiveness in beliefs” and “indecisiveness in tastes.” The former is captured by the Knightian uncertainty model, the latter by the single‐prior expected multi‐utility model. We characterize axiomatically the latter model. Then we show that, under independence and continuity, these two models can be jointly characterized by means of a partial completeness property.     

Response to Student Participation and Student Involvement

Abstract

Government contracting out of responsibilities for the delivery of social services is an increasingly common phenomenon in these times of economic restraint. This paper argues that this practice, with its inherent technical and philosophical problems, negatively affects social service systems and social work practitioners. The resultant changes are described as having serious implications for social work educators, The argument is made that if educators are to remain relevant to the needs of service consumers, social work students, and welfare agencies, they must carefully reconsider aspects of curriculum planning and student placements as well as faculty involvement in research and advocacy.     

Achieve Boston: a citywide innovation in professional development

Achieve Boston is a broad-based collaborative effort to improve the overall quality of programs for children and youth by establishing a professional development infrastructure that supports those who work with young people during the out-of-school-time hours.     

Extremism within the family

This paper considers an economic analysis of intergenerational transition of ethnic and social trait. We consider the level of social traits chosen by parents and its effect on their children’s choice of ethnic and social traits when reaching adulthood. We develop a theory that suggests that parents will chose extreme ethnic and social traits to increase the cost that their children will pay if they wish to deviate from their parents’ “ideal.” The extreme choice of the ethnic social traits of parents has an effect on the segregation of minorities and migrants.